Hamedani, Ehsaneh Mohammadpour; Hashemian, Amir H. Natural frequencies of composite lattice structure surrounded by Winkler-Pasternak ambient using Galerkin method. (English) Zbl 07800006 Adv. Appl. Math. Mech. 16, No. 2, 355-372 (2024). MSC: 35-11 35E05 PDFBibTeX XMLCite \textit{E. M. Hamedani} and \textit{A. H. Hashemian}, Adv. Appl. Math. Mech. 16, No. 2, 355--372 (2024; Zbl 07800006) Full Text: DOI
Wu, Chih-Ping; Lyu, Yu-Shu An asymptotic consistent couple stress theory for the three-dimensional free vibration analysis of functionally graded microplates resting on an elastic medium. (English) Zbl 07781833 Math. Methods Appl. Sci. 46, No. 4, 4891-4919 (2023). MSC: 35Q74 74H45 74K20 74B10 PDFBibTeX XMLCite \textit{C.-P. Wu} and \textit{Y.-S. Lyu}, Math. Methods Appl. Sci. 46, No. 4, 4891--4919 (2023; Zbl 07781833) Full Text: DOI
Assing da Silva, Ivan; Dalledone Machado, Roberto; Arndt, Marcos; de Oliveira Weinhardt, Paulo Assessment of the flat-top stable GFEM for free vibration analysis. (English) Zbl 1524.65510 Comput. Math. Appl. 117, 271-283 (2022). MSC: 65M60 65N30 74S05 35J25 65N12 65N15 74H45 PDFBibTeX XMLCite \textit{I. Assing da Silva} et al., Comput. Math. Appl. 117, 271--283 (2022; Zbl 1524.65510) Full Text: DOI
Babaei, Hadi Free vibration and snap-through instability of FG-CNTRC shallow arches supported on nonlinear elastic foundation. (English) Zbl 1510.74042 Appl. Math. Comput. 413, Article ID 126606, 21 p. (2022). MSC: 74H45 35Q74 74B20 PDFBibTeX XMLCite \textit{H. Babaei}, Appl. Math. Comput. 413, Article ID 126606, 21 p. (2022; Zbl 1510.74042) Full Text: DOI
Aydogdu, Metin; Aksencer, Tolga; Soldatos, Kostas P. On three-dimensional dynamics of fibre-reinforced functionally graded plates when fibres resist bending. (English) Zbl 1483.35247 J. Eng. Math. 128, Paper No. 13, 26 p. (2021). MSC: 35Q74 74K10 74H45 74B10 PDFBibTeX XMLCite \textit{M. Aydogdu} et al., J. Eng. Math. 128, Paper No. 13, 26 p. (2021; Zbl 1483.35247) Full Text: DOI
Li, Zhiyuan; Xu, Yepeng; Huang, Dan Analytical solution for vibration of continuously varying-thickness beams resting on Pasternak elastic foundations. (English) Zbl 1488.74081 Adv. Appl. Math. Mech. 13, No. 4, 850-866 (2021). MSC: 74H45 35Q74 74K10 PDFBibTeX XMLCite \textit{Z. Li} et al., Adv. Appl. Math. Mech. 13, No. 4, 850--866 (2021; Zbl 1488.74081) Full Text: DOI
Pham, Hoang-Anh; Truong, Viet-Hung; Vu, Tien-Chuong Fuzzy finite element analysis for free vibration response of functionally graded semi-rigid frame structures. (English) Zbl 1481.74294 Appl. Math. Modelling 88, 852-869 (2020). MSC: 74H45 74S05 35Q74 35R09 PDFBibTeX XMLCite \textit{H.-A. Pham} et al., Appl. Math. Modelling 88, 852--869 (2020; Zbl 1481.74294) Full Text: DOI
Wang, Xinwei; Yuan, Zhangxian Three-dimensional vibration analysis of curved and twisted beams with irregular shapes of cross-sections by sub-parametric quadrature element method. (English) Zbl 1434.65279 Comput. Math. Appl. 76, No. 6, 1486-1499 (2018). MSC: 65N30 74K10 74H45 65N12 35R09 45K05 65D32 65M60 41A50 65D17 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Z. Yuan}, Comput. Math. Appl. 76, No. 6, 1486--1499 (2018; Zbl 1434.65279) Full Text: DOI
Lindsay, Alan E.; Quaife, Bryan; Wendelberger, Laura A boundary integral equation method for mode elimination and vibration confinement in thin plates with clamped points. (English) Zbl 1516.35285 Adv. Comput. Math. 44, No. 4, 1249-1273 (2018). MSC: 35P15 35J40 45F05 PDFBibTeX XMLCite \textit{A. E. Lindsay} et al., Adv. Comput. Math. 44, No. 4, 1249--1273 (2018; Zbl 1516.35285) Full Text: DOI arXiv
Kari, Leif Dynamic stiffness of chemically and physically ageing rubber vibration isolators in the audible frequency range. I: Constitutive equations. (English) Zbl 1392.74041 Contin. Mech. Thermodyn. 29, No. 5, 1027-1046 (2017). MSC: 74F25 74H45 82D60 35Q74 35R11 92E99 PDFBibTeX XMLCite \textit{L. Kari}, Contin. Mech. Thermodyn. 29, No. 5, 1027--1046 (2017; Zbl 1392.74041) Full Text: DOI
Cazzani, Antonio; Stochino, Flavio; Turco, Emilio An analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beams. (English) Zbl 07775105 ZAMM, Z. Angew. Math. Mech. 96, No. 10, 1220-1244 (2016). MSC: 74K10 74H45 74H05 70J10 70J30 34L10 34L15 35C05 35L25 PDFBibTeX XMLCite \textit{A. Cazzani} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 10, 1220--1244 (2016; Zbl 07775105) Full Text: DOI
Shubov, Marianna A. Asymptotic representation for the eigenvalues of a non-selfadjoint operator governing the dynamics of an energy harvesting model. (English) Zbl 1353.35193 Appl. Math. Optim. 73, No. 3, 545-569 (2016). MSC: 35L35 47D06 35P20 PDFBibTeX XMLCite \textit{M. A. Shubov}, Appl. Math. Optim. 73, No. 3, 545--569 (2016; Zbl 1353.35193) Full Text: DOI
Cazzani, Antonio; Stochino, Flavio; Turco, Emilio On the whole spectrum of Timoshenko beams. I: A theoretical revisitation. (English) Zbl 1338.74069 Z. Angew. Math. Phys. 67, No. 2, Article ID 24, 30 p. (2016). MSC: 74K10 74H45 74H05 70J10 70J30 34L10 34L15 35C05 35L25 PDFBibTeX XMLCite \textit{A. Cazzani} et al., Z. Angew. Math. Phys. 67, No. 2, Article ID 24, 30 p. (2016; Zbl 1338.74069) Full Text: DOI
Cazzani, Antonio; Stochino, Flavio; Turco, Emilio On the whole spectrum of Timoshenko beams. II: Further applications. (English) Zbl 1338.74068 Z. Angew. Math. Phys. 67, No. 2, Article ID 25, 21 p. (2016). MSC: 74K10 74H45 74H05 70J10 70J30 34L10 34L15 35C05 35L25 PDFBibTeX XMLCite \textit{A. Cazzani} et al., Z. Angew. Math. Phys. 67, No. 2, Article ID 25, 21 p. (2016; Zbl 1338.74068) Full Text: DOI
Lepe, F.; Mora, D.; Rodríguez, R. Finite element analysis of a bending moment formulation for the vibration problem of a non-homogeneous Timoshenko beam. (English) Zbl 1457.65204 J. Sci. Comput. 66, No. 2, 825-848 (2016). MSC: 65N30 65N25 65N15 65N12 74K10 74H45 74S05 35Q74 PDFBibTeX XMLCite \textit{F. Lepe} et al., J. Sci. Comput. 66, No. 2, 825--848 (2016; Zbl 1457.65204) Full Text: DOI
Jurczyńska, Anna; Szmidla, Janusz An influence of the Winkler elastic foundation of a geometrically nonlinear column loaded by force directed towards the positive pole on a type of system. (English) Zbl 07251918 J. Appl. Math. Comput. Mech. 14, No. 4, 79-91 (2015). MSC: 35G15 74S30 PDFBibTeX XMLCite \textit{A. Jurczyńska} and \textit{J. Szmidla}, J. Appl. Math. Comput. Mech. 14, No. 4, 79--91 (2015; Zbl 07251918) Full Text: DOI
Litvinov, V. L. Study of free oscillations of mechanical objects with moving boundaries using the asymptotic method. (Russian. English summary) Zbl 1340.35344 Zh. Sredn. Mat. Obshch. 16, No. 1, 83-88 (2014). Reviewer: Artyom Andronov (Saransk) MSC: 35Q74 35B40 74H45 35R37 74K10 PDFBibTeX XMLCite \textit{V. L. Litvinov}, Zh. Sredn. Mat. Obshch. 16, No. 1, 83--88 (2014; Zbl 1340.35344)
Bai, Eburilitu; Chen, Alatancang A symplectic eigenfunction expansion approach for free vibration solutions of rectangular Kirchhoff plates. (English) Zbl 1349.74166 J. Vib. Control 19, No. 8, 1208-1215 (2013). MSC: 74H45 74K20 35P10 PDFBibTeX XMLCite \textit{E. Bai} and \textit{A. Chen}, J. Vib. Control 19, No. 8, 1208--1215 (2013; Zbl 1349.74166) Full Text: DOI
Baferani, A. Hasani; Saidi, A. R.; Jomehzadeh, E. Exact analytical solution for free vibration of functionally graded thin annular sector plates resting on elastic foundation. (English) Zbl 1348.74142 J. Vib. Control 18, No. 2, 246-267 (2012). MSC: 74H45 74E30 74K20 35C05 PDFBibTeX XMLCite \textit{A. H. Baferani} et al., J. Vib. Control 18, No. 2, 246--267 (2012; Zbl 1348.74142) Full Text: DOI
Xu, Suming; Wang, Xinwei Free vibration analyses of Timoshenko beams with free edges by using the discrete singular convolution. (English) Zbl 1231.74168 Adv. Eng. Softw. 42, No. 10, 797-806 (2011). Reviewer: Li Xing (Yinchuan) MSC: 74H45 35Q74 74K10 35R35 PDFBibTeX XMLCite \textit{S. Xu} and \textit{X. Wang}, Adv. Eng. Softw. 42, No. 10, 797--806 (2011; Zbl 1231.74168) Full Text: DOI
Çevik, Mehmet Application of Taylor matrix method to the solution of longitudinal vibration of rods. (English) Zbl 1201.35077 Math. Comput. Appl. 15, No. 3, 334-343 (2010). MSC: 35C10 35L10 35A25 74K10 74H45 PDFBibTeX XMLCite \textit{M. Çevik}, Math. Comput. Appl. 15, No. 3, 334--343 (2010; Zbl 1201.35077) Full Text: DOI
Dolya, P. G. Solution to the homogeneous boundary value problems of free vibrations of a finite string. (English) Zbl 1178.35114 J. Math. Phys. Anal. Geom. 4, No. 2, 237-251 (2008). MSC: 35C05 35L05 74K05 35L20 74H45 PDFBibTeX XMLCite \textit{P. G. Dolya}, J. Math. Phys. Anal. Geom. 4, No. 2, 237--251 (2008; Zbl 1178.35114)
Krowiak, Artur Symbolic computing in spline-based differential quadrature method. (English) Zbl 1105.65355 Commun. Numer. Methods Eng. 22, No. 11, 1097-1107 (2006). MSC: 65N35 68W30 35J40 74K20 74H45 PDFBibTeX XMLCite \textit{A. Krowiak}, Commun. Numer. Methods Eng. 22, No. 11, 1097--1107 (2006; Zbl 1105.65355) Full Text: DOI
Nam, Hyewon; Choi, Q-Heung The investigation of free vibrations for an asymmetric beam equation using category theory. (English) Zbl 1160.35540 J. Math. Anal. Appl. 318, No. 2, 552-563 (2006). Reviewer: Nickolaj A. Lar’kin (Maringa) MSC: 35Q74 35L75 47J30 58E50 74H45 74K10 PDFBibTeX XMLCite \textit{H. Nam} and \textit{Q-H. Choi}, J. Math. Anal. Appl. 318, No. 2, 552--563 (2006; Zbl 1160.35540) Full Text: DOI
Champion, R.; Champion, W. L. The oscillation of a loaded spring. (English) Zbl 1052.35107 Math. Sci. 28, No. 2, 67-78 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35L05 74H45 70J30 74-05 35B05 PDFBibTeX XMLCite \textit{R. Champion} and \textit{W. L. Champion}, Math. Sci. 28, No. 2, 67--78 (2003; Zbl 1052.35107)
Boertjens, G. J.; van Horssen, W. T. An asymptotic theory for a weakly nonlinear beam equation with a quadratic perturbation. (English) Zbl 0959.35030 SIAM J. Appl. Math. 60, No. 2, 602-632 (2000). Reviewer: I.Badea (Craiova) MSC: 35C20 35B34 74K10 74H45 PDFBibTeX XMLCite \textit{G. J. Boertjens} and \textit{W. T. van Horssen}, SIAM J. Appl. Math. 60, No. 2, 602--632 (2000; Zbl 0959.35030) Full Text: DOI
Perla Menzala, G.; Zuazua, E. Energy decay rates for the von Kármán system of thermoelastic plates. (English) Zbl 1008.35077 Differ. Integral Equ. 11, No. 5, 755-770 (1998). Reviewer: Ivan Hlaváček (Praha) MSC: 35Q72 74K20 74H45 PDFBibTeX XMLCite \textit{G. Perla Menzala} and \textit{E. Zuazua}, Differ. Integral Equ. 11, No. 5, 755--770 (1998; Zbl 1008.35077)
Demiray, Hilmi Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid. (English) Zbl 0902.73058 IMA J. Appl. Math. 59, No. 2, 165-181 (1997). MSC: 74F10 74H45 35Q55 74H55 76B10 PDFBibTeX XMLCite \textit{H. Demiray}, IMA J. Appl. Math. 59, No. 2, 165--181 (1997; Zbl 0902.73058) Full Text: DOI
Tataru, Daniel; Tucsnak, Marius On the Cauchy problem for the full von Kármán system. (English) Zbl 0882.35122 NoDEA, Nonlinear Differ. Equ. Appl. 4, No. 3, 325-340 (1997). Reviewer: I.Ecsedi (Miskolc-Egyetemvaros) MSC: 35Q72 74H45 35A05 35B30 PDFBibTeX XMLCite \textit{D. Tataru} and \textit{M. Tucsnak}, NoDEA, Nonlinear Differ. Equ. Appl. 4, No. 3, 325--340 (1997; Zbl 0882.35122) Full Text: DOI
Sanchez-Hubert, Jacqueline; Sanchez-Palencia, Évariste Thin elastic shells. Asymptotic properties. (Coques élastiques minces. Propriétés asymptotiques.) (French) Zbl 0881.73001 Recherches en Mathématiques Appliquées. Paris: Masson. xix, 376 p. (1997). Reviewer: R.Valid (Paris) MSC: 74-02 74K15 35Q72 35B40 PDFBibTeX XMLCite \textit{J. Sanchez-Hubert} and \textit{É. Sanchez-Palencia}, Coques élastiques minces. Propriétés asymptotiques. Paris: Masson (1997; Zbl 0881.73001)
Levitin, Michael; Vassiliev, Dmitri Vibrations of shells contacting fluid: Asymptotic analysis. (English) Zbl 0952.74520 Guran, Ardéshir (ed.) et al., Acoustic interactions with submerged elastic structures. With a foreword by Hans A. Bethe. Part 1: Acoustic scattering and resonances. Singapore: World Scientific. Ser. Stab. Vib. Control Syst., Ser. B. 5, 310-332 (1996). MSC: 74F10 74H45 74K25 35P20 PDFBibTeX XMLCite \textit{M. Levitin} and \textit{D. Vassiliev}, in: Acoustic interactions with submerged elastic structures. With a foreword by Hans A. Bethe. Part 1: Acoustic scattering and resonances. Singapore: World Scientific. 310--332 (1996; Zbl 0952.74520)
Gladwell, G. M. L.; Morassi, A. On isospectral rods, horns and strings. (English) Zbl 0838.34014 Inverse Probl. 11, No. 3, 533-554 (1995). Reviewer: J.Pöschel (Zürich) MSC: 34A55 34B24 35R30 74J25 PDFBibTeX XMLCite \textit{G. M. L. Gladwell} and \textit{A. Morassi}, Inverse Probl. 11, No. 3, 533--554 (1995; Zbl 0838.34014) Full Text: DOI
Shaw, S. W. An invariant manifold approach to nonlinear normal modes of oscillation. (English) Zbl 0809.35139 J. Nonlinear Sci. 4, No. 5, 419-448 (1994). MSC: 35Q72 74H45 70K25 34C30 34C15 PDFBibTeX XMLCite \textit{S. W. Shaw}, J. Nonlinear Sci. 4, No. 5, 419--448 (1994; Zbl 0809.35139) Full Text: DOI
Filippov, Sergei B. Low-frequency vibrations of cylindrical shells. I: Shells with a slanted edge. (English) Zbl 0810.73035 Vaillancourt, Rémi (ed.) et al., Asymptotic methods in mechanics. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 3, 193-204 (1993). Reviewer: C.Constanda (Glasgow) MSC: 74K15 74H45 35Q72 35B40 41A60 PDFBibTeX XMLCite \textit{S. B. Filippov}, in: Asymptotic methods in mechanics. Providence, RI: American Mathematical Society. 193--204 (1993; Zbl 0810.73035)
Levitin, Michael R. Vibrations of a viscous compressible fluid in bounded and unbounded domains. (English) Zbl 0803.76070 Rodrigues, J. F. (ed.) et al., Mathematical topics in fluid mechanics. Proceedings of the summer course, held in Lisbon, Portugal, September 9-13, 1991. Harlow, Essex: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 274, 251-255 (1993). Reviewer: O.Titow (Berlin) MSC: 76N10 35Q35 PDFBibTeX XMLCite \textit{M. R. Levitin}, Pitman Res. Notes Math. Ser. 274, 251--255 (1993; Zbl 0803.76070)
Oleĭnik, O. A.; Shamaev, A. S.; Yosifian, G. A. Mathematical problems in elasticity and homogenization. (English) Zbl 0768.73003 Studies in Mathematics and its Applications. 26. Amsterdam etc.: North- Holland. xiii, 398 p. (1992). Reviewer: Th. Lévy (Paris) MSC: 74-02 74E05 74B05 35B27 PDFBibTeX XMLCite \textit{O. A. Oleĭnik} et al., Mathematical problems in elasticity and homogenization. Amsterdam etc.: North-Holland (1992; Zbl 0768.73003) Backlinks: MO
Shkalikov, A. A.; Shkred, A. V. The problem of steady-state oscillations of transversally isotropic half- cylinder. (English. Russian original) Zbl 0772.73053 Math. USSR, Sb. 73, No. 2, 579-602 (1992); translation from Mat. Sb. 182, No. 8, 1222-1246 (1991). MSC: 74H45 47A68 74E10 35P05 47A10 PDFBibTeX XMLCite \textit{A. A. Shkalikov} and \textit{A. V. Shkred}, Math. USSR, Sb. 73, No. 2, 579--602 (1992; Zbl 0772.73053); translation from Mat. Sb. 182, No. 8, 1222--1246 (1991) Full Text: DOI
Tucsnak, Marius Global existence and uniqueness for a class of quasilinear hyperbolic equations. (English) Zbl 0782.35044 Riv. Mat. Pura Appl. 10, 25-38 (1992). Reviewer: V.Ďurikovič (Bratislava) MSC: 35L75 35G30 35G25 35A05 35A07 PDFBibTeX XMLCite \textit{M. Tucsnak}, Riv. Mat. Pura Appl. 10, 25--38 (1992; Zbl 0782.35044)
Hoffmann, K.-H.; Zochowski, A. Existence of solutions to some nonlinear thermoelastic systems with viscosity. (English) Zbl 0745.35022 Math. Methods Appl. Sci. 15, No. 3, 187-204 (1992). Reviewer: J.E.Bouillet (Buenos Aires) MSC: 35K55 74A15 35L70 35R35 74Hxx PDFBibTeX XMLCite \textit{K. H. Hoffmann} and \textit{A. Zochowski}, Math. Methods Appl. Sci. 15, No. 3, 187--204 (1992; Zbl 0745.35022) Full Text: DOI
Tucsnak, Marius On an initial and boundary value problem for the nonlinear Timoshenko beam. (English) Zbl 0788.73038 An. Acad. Bras. Ciênc. 63, No. 2, 115-125 (1991). MSC: 74K10 74H45 35Q72 PDFBibTeX XMLCite \textit{M. Tucsnak}, An. Acad. Bras. Ciênc. 63, No. 2, 115--125 (1991; Zbl 0788.73038)
Kooi, B. W. On the mechanics of the modern working-recurve bow. (English) Zbl 0739.73023 Comput. Mech. 8, No. 5, 291-304 (1991). MSC: 74H45 74S20 74K10 35R35 PDFBibTeX XMLCite \textit{B. W. Kooi}, Comput. Mech. 8, No. 5, 291--304 (1991; Zbl 0739.73023) Full Text: DOI
Shkalikov, A. A.; Shkred, A. V. A problem on stationary vibrations of a transversally isotropic semi- cylinder. (Russian) Zbl 0746.73014 Mat. Sb. 182, No. 8, 1222-1246 (1991). Reviewer: Cz.I.Bajer (Clermont-Ferrand) MSC: 74H45 47A68 74E10 35P05 47A10 PDFBibTeX XMLCite \textit{A. A. Shkalikov} and \textit{A. V. Shkred}, Mat. Sb. 182, No. 8, 1222--1246 (1991; Zbl 0746.73014) Full Text: EuDML
Vasil’ev, D. G. Two-term asymptotics of the spectrum of natural frequencies of a thin elastic shell. (English. Russian original) Zbl 0707.73041 Sov. Math., Dokl. 41, No. 1, 108-112 (1990); translation from Dokl. Akad. Nauk SSSR 310, No. 4, 777-780 (1990). Reviewer: M.Thompson MSC: 74H45 74K15 35P20 58J47 PDFBibTeX XMLCite \textit{D. G. Vasil'ev}, Sov. Math., Dokl. 41, No. 1, 108--112 (1990; Zbl 0707.73041); translation from Dokl. Akad. Nauk SSSR 310, No. 4, 777--780 (1990)
Tan, N. X. Local bifurcation from characteristic values with finite multiplicity and applications to partial differential equations. (English) Zbl 0748.35004 Acta Math. Vietnam. 15, No. 2, 99-122 (1990). Reviewer: V.Sobolev (Kujbyshev) MSC: 35B32 35J65 74H45 74K20 58E07 PDFBibTeX XMLCite \textit{N. X. Tan}, Acta Math. Vietnam. 15, No. 2, 99--122 (1990; Zbl 0748.35004)
Anisimov, V. N. Resonance properties of systems described by the wave equation and having moving boundaries. (English. Russian original) Zbl 0736.73020 Sov. Appl. Mech. 25, No. 9, 952-958 (1989); translation from Prikl. Mekh., Kiev 25, No. 9, 115-121 (1989). MSC: 74H45 35R35 74S30 74J25 PDFBibTeX XMLCite \textit{V. N. Anisimov}, Sov. Appl. Mech. 25, No. 9, 952--958 (1989; Zbl 0736.73020); translation from Prikl. Mekh., Kiev 25, No. 9, 115--121 (1989) Full Text: DOI
Citrini, Claudio; Marchionna, Clelia On the motion of a string vibrating against a gluing obstacle. (English) Zbl 0717.73045 Rend. Accad. Naz. Sci. Detta XL, V. Ser. 13, No. 1, 141-164 (1989). MSC: 74H45 74M20 35L85 74S30 74P10 74K05 49J40 49J20 35R35 PDFBibTeX XMLCite \textit{C. Citrini} and \textit{C. Marchionna}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 13, No. 1, 141--164 (1989; Zbl 0717.73045)
Amerio, Luigi On the elastic impact of two vibrating strings with different characteristic velocities: Study of a free-boundary unilateral problem. (English) Zbl 0717.73044 Rend. Accad. Naz. Sci. Detta XL, V. Ser. 13, No. 1, 341-380 (1989). MSC: 74H45 74M20 74S30 74P10 35L85 74K05 35R35 49J20 49J40 PDFBibTeX XMLCite \textit{L. Amerio}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 13, No. 1, 341--380 (1989; Zbl 0717.73044)
Wang, Shouhong The free vibrations for a class of wave equations with strong resonances. (Chinese) Zbl 0706.35076 Chin. Ann. Math., Ser. A 10, No. 3, 289-298 (1989). MSC: 35L05 35A05 35D05 PDFBibTeX XMLCite \textit{S. Wang}, Chin. Ann. Math., Ser. A 10, No. 3, 289--298 (1989; Zbl 0706.35076)
Scarpellini, Bruno; Vuillermot, Pierre-A. Smooth manifolds for semilinear wave equations on \({\mathbb{R}}^ 2:\) On the existence of almost-periodic breathers. (English) Zbl 0702.35169 J. Differ. Equations 77, No. 1, 123-166 (1989). Reviewer: K.Hardenberg MSC: 35L70 35L05 PDFBibTeX XMLCite \textit{B. Scarpellini} and \textit{P.-A. Vuillermot}, J. Differ. Equations 77, No. 1, 123--166 (1989; Zbl 0702.35169) Full Text: DOI
Krejčí, Pavel Hysteresis operators - a new approach to evolution differential inequalities. (English) Zbl 0699.35270 Commentat. Math. Univ. Carol. 30, No. 3, 525-536 (1989). Reviewer: C.F.Wang MSC: 35R45 47J05 35R35 PDFBibTeX XMLCite \textit{P. Krejčí}, Commentat. Math. Univ. Carol. 30, No. 3, 525--536 (1989; Zbl 0699.35270) Full Text: EuDML
D’Acunto, B.; D’Anna, A. A free boundary problem in the unilateral dynamics of a linear viscoelastic system. (English) Zbl 0672.73037 Atti Semin. Mat. Fis. Univ. Modena 37, No. 1, 237-248 (1989). Reviewer: G.A.C.Graham MSC: 74D99 35R35 35L85 35L35 35A05 PDFBibTeX XMLCite \textit{B. D'Acunto} and \textit{A. D'Anna}, Atti Semin. Mat. Fis. Univ. Modena 37, No. 1, 237--248 (1989; Zbl 0672.73037)
Oleĭnik, O. A. On natural vibrations of bodies with concentrated masses. (Russian) Zbl 0699.35049 Current problems of applied mathematics and mathematical physics, Collect. Sci. Works, Moscow, 101-128 (1988). Reviewer: St.Tersian MSC: 35J05 70J30 35Q99 74H45 PDFBibTeX XML
Koga, Tatsuzo; Saito, Arihumi Inextensional free vibrations of circular cylindrical shells. (English) Zbl 0676.73036 AIAA J. 26, No. 12, 1499-1505 (1988). MSC: 74H45 74K15 35Q99 PDFBibTeX XMLCite \textit{T. Koga} and \textit{A. Saito}, AIAA J. 26, No. 12, 1499--1505 (1988; Zbl 0676.73036) Full Text: DOI
Koga, Tatsuzo Effects of boundary conditions on the free vibrations of circular cylindrical shells. (English) Zbl 0676.73035 AIAA J. 26, No. 11, 1387-1394 (1988). MSC: 74H45 74K15 35Q99 PDFBibTeX XMLCite \textit{T. Koga}, AIAA J. 26, No. 11, 1387--1394 (1988; Zbl 0676.73035) Full Text: DOI
Feireisl, Eduard Time periodic solutions to a semilinear beam equation. (English) Zbl 0657.35089 Nonlinear Anal., Theory Methods Appl. 12, No. 3, 279-290 (1988). Reviewer: E.Feireisl MSC: 35L75 35B10 49R50 35L35 35A15 PDFBibTeX XMLCite \textit{E. Feireisl}, Nonlinear Anal., Theory Methods Appl. 12, No. 3, 279--290 (1988; Zbl 0657.35089) Full Text: DOI
Zhdanova, G. V. Asymptotics of the solution of the Dirichlet problem for the system of elasticity theory in the exterior of a thin body of revolution. (English. Russian original) Zbl 0656.73015 Sov. Math., Dokl. 36, No. 2, 343-347 (1988); translation from Dokl. Akad. Nauk SSSR 269, 1041-1045 (1987). Reviewer: H.Le Dret MSC: 74B99 74H45 35C20 PDFBibTeX XMLCite \textit{G. V. Zhdanova}, Sov. Math., Dokl. 36, No. 2, 343--347 (1988; Zbl 0656.73015); translation from Dokl. Akad. Nauk SSSR 269, 1041--1045 (1987)
Strani, M.; Sabetta, F. Viscous oscillations of a supported drop in an immiscible fluid. (English) Zbl 0643.76106 J. Fluid Mech. 189, 397-421 (1988). MSC: 76T99 76M99 76D05 35Q30 PDFBibTeX XMLCite \textit{M. Strani} and \textit{F. Sabetta}, J. Fluid Mech. 189, 397--421 (1988; Zbl 0643.76106) Full Text: DOI
Oleinik, O. A. Homogenization problems in elasticity. Spectra of singularly perturbed operators. (English) Zbl 0667.73009 Non-classical continuum mechanics, Proc. Symp., Durham/Engl. 1986, Lond. Math. Soc. Lect. Note Ser. 122, 53-95 (1987). Reviewer: Th.Lévy MSC: 74E05 35P05 47A70 74E30 47A10 35B25 35B40 46S30 PDFBibTeX XML
Vuillermot, P.-A. Nonexistence of spatially localized free vibrations for a class of nonlinear wave equations. (English) Zbl 0656.35093 Comment. Math. Helv. 62, 573-586 (1987). MSC: 35L70 35A05 35Q99 PDFBibTeX XMLCite \textit{P. A. Vuillermot}, Comment. Math. Helv. 62, 573--586 (1987; Zbl 0656.35093) Full Text: DOI EuDML
D’Acunto, B. The moving load on a string as free boundary problem. (English) Zbl 0621.73034 Q. Appl. Math. 45, 201-204 (1987). MSC: 74J99 35R35 74H45 74K05 35A05 PDFBibTeX XMLCite \textit{B. D'Acunto}, Q. Appl. Math. 45, 201--204 (1987; Zbl 0621.73034) Full Text: DOI
Nayfeh, A. H.; Raouf, R. A. Nonlinear forced response of infinitely long circular cylindrical shells. (English) Zbl 0619.73052 J. Appl. Mech. 54, 571-577 (1987). MSC: 74H45 74K15 35B20 74K25 35B32 65M99 65N99 PDFBibTeX XMLCite \textit{A. H. Nayfeh} and \textit{R. A. Raouf}, J. Appl. Mech. 54, 571--577 (1987; Zbl 0619.73052) Full Text: DOI
Kopachevskij, N. D.; Temnov, A. N. Vibrations of a stratified liquid in a basin of arbitrary shape. (English. Russian original) Zbl 0637.76018 U.S.S.R. Comput. Math. Math. Phys. 26, No. 3, 58-72 (1986); translation from Zh. Vychisl. Mat. Mat. Fiz. 26, No. 5, 734-755 (1986). MSC: 76B55 76V05 35J25 PDFBibTeX XMLCite \textit{N. D. Kopachevskij} and \textit{A. N. Temnov}, U.S.S.R. Comput. Math. Math. Phys. 26, No. 3, 58--72 (1986; Zbl 0637.76018); translation from Zh. Vychisl. Mat. Mat. Fiz. 26, No. 5, 734--755 (1986) Full Text: DOI
Dzhafarli, A. G. Nonlinear viscoplastic waves in threads in case of their spatial motion. (Russian. English summary) Zbl 0631.73023 Dokl., Akad. Nauk Az. SSR 42, No. 11, 16-19 (1986). MSC: 74M20 74H45 74C99 35R35 PDFBibTeX XMLCite \textit{A. G. Dzhafarli}, Dokl., Akad. Nauk Az. SSR 42, No. 11, 16--19 (1986; Zbl 0631.73023)
Vuillermot, Pierre-A. Non-existence de vibrations libres localisées pour certaines équations des ondes semilinéaires dans \({\mathbb{R}}^ 2\). (Non existence of spatially localized free vibrations for certain semilinear wave equations in \({\mathbb{R}}^ 2)\). (French) Zbl 0617.35075 C. R. Acad. Sci., Paris, Sér. I 303, 395-398 (1986). Reviewer: R.Racke MSC: 35L70 35B10 35B05 PDFBibTeX XMLCite \textit{P.-A. Vuillermot}, C. R. Acad. Sci., Paris, Sér. I 303, 395--398 (1986; Zbl 0617.35075)
Rogacheva, N. N. Classification of free piezoceramic shell vibrations. (English. Russian original) Zbl 0616.73102 J. Appl. Math. Mech. 50, 106-111 (1986); translation from Prikl. Mat. Mekh. 50, 147-154 (1986). MSC: 74F15 74H45 41A60 35A35 PDFBibTeX XMLCite \textit{N. N. Rogacheva}, J. Appl. Math. Mech. 50, 106--111 (1986; Zbl 0616.73102); translation from Prikl. Mat. Mekh. 50, 147--154 (1986) Full Text: DOI
Khan, Saleem; Dhaliwal, Ranjit Upper bound approximations to the eigenvalues of rectangular plates. (English) Zbl 0609.73060 J. Math. Phys. Sci. 20, 285-300 (1986). MSC: 74H45 35P15 74K20 49R50 PDFBibTeX XMLCite \textit{S. Khan} and \textit{R. Dhaliwal}, J. Math. Phys. Sci. 20, 285--300 (1986; Zbl 0609.73060)
Hong, Chongwei Free vibrations of \(n\)-dimensional balls. (English) Zbl 0656.35086 Acta Math. Sin., New Ser. 1, 241-250 (1985). MSC: 35L70 35B10 35A05 35B05 35L20 PDFBibTeX XMLCite \textit{C. Hong}, Acta Math. Sin., New Ser. 1, 241--250 (1985; Zbl 0656.35086) Full Text: DOI
Maslov, V. P.; Mosolov, P. P. General theory of the solutions of the equations of motion of an elastic medium of different moduli. (English. Russian original) Zbl 0608.73034 J. Appl. Math. Mech. 49, 322-336 (1985); translation from Prikl. Mat. Mekh. 49, 419-437 (1985). Reviewer: E.S.R.Gopal MSC: 74H45 35L60 74S30 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{P. P. Mosolov}, J. Appl. Math. Mech. 49, 322--336 (1985; Zbl 0608.73034); translation from Prikl. Mat. Mekh. 49, 419--437 (1985) Full Text: DOI
Gorshkov, A. G.; Kolesnikov, I. Yu. An approximate solution of the vibration of plates. (English. Russian original) Zbl 0596.73034 Sov. Appl. Mech. 21, 183-188 (1985); translation from Prikl. Mekh., Kiev 21, No. 2, 86-91 (1985). MSC: 74H45 74K20 35J05 PDFBibTeX XMLCite \textit{A. G. Gorshkov} and \textit{I. Yu. Kolesnikov}, Sov. Appl. Mech. 21, 183--188 (1985; Zbl 0596.73034); translation from Prikl. Mekh., Kiev 21, No. 2, 86--91 (1985) Full Text: DOI
Ovunc, Bulent A. Nonlinear free bending vibrations of plates. (English) Zbl 0587.73069 Comput. Struct. 21, 887-891 (1985). MSC: 74H45 74K20 35J05 PDFBibTeX XMLCite \textit{B. A. Ovunc}, Comput. Struct. 21, 887--891 (1985; Zbl 0587.73069) Full Text: DOI
Dermenjian, Yves; Guillot, Jean-Claude Théorie de la diffusion des ondes élastiques dans un demi-espace isotrope perturbé (Scattering theory for the elastic waves in a perturbed isotropic half space). (French) Zbl 0587.73034 C. R. Acad. Sci., Paris, Sér. I 301, 617-619 (1985). Reviewer: M.Codegone MSC: 74J20 35P25 74H45 47A70 PDFBibTeX XMLCite \textit{Y. Dermenjian} and \textit{J.-C. Guillot}, C. R. Acad. Sci., Paris, Sér. I 301, 617--619 (1985; Zbl 0587.73034)
Citrini, Claudio; Marchionna, Clelia Support domains for a quasi-linear string vibrating against a wall: A unilateral free boundary problem. (English) Zbl 0584.73077 Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 9, 61-86 (1985). Reviewer: A.Pignedoli MSC: 74H45 74K05 35L85 35R35 PDFBibTeX XMLCite \textit{C. Citrini} and \textit{C. Marchionna}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 9, 61--86 (1985; Zbl 0584.73077)
Cabannes, Henri Mouvement d’une corde vibrante en présence d’un obstacle convexe: un problème à frontière libre (Motion of a vibrating string in the presence of a convex obstacle: a free boundary problem). (French) Zbl 0578.73030 C. R. Acad. Sci., Paris, Sér. II 301, 125-129 (1985). MSC: 74H45 74K05 35R35 PDFBibTeX XMLCite \textit{H. Cabannes}, C. R. Acad. Sci., Paris, Sér. II 301, 125--129 (1985; Zbl 0578.73030)
Oleinik, O. A.; Shamaev, A. S.; Yosifian, G. A. On the convergence of the energy, stress tensors, and eigenvalues in homogenization problems of elasticity. (English) Zbl 0572.73059 Z. Angew. Math. Mech. 65, 13-17 (1985). Reviewer: M.Codegone MSC: 74H45 74E05 35J25 PDFBibTeX XMLCite \textit{O. A. Oleinik} et al., Z. Angew. Math. Mech. 65, 13--17 (1985; Zbl 0572.73059) Full Text: DOI
Gusejnov, Z. A. On the initial-boundary value problem for flexural vibrations of a rod with free ends. (Russian) Zbl 0621.73063 Mathematics and mechanics, Mater. 5th Repub. Conf. Young Sci., Vol. I, Baku 1984, 121-125 (1984). MSC: 74H45 45K05 35R35 PDFBibTeX XML
Amerio, Luigi Study of the motion of a string vibrating against a wall of any shape, under the action of an arbitrary external force; support domains: A unilateral free boundary problem. (Italian. English summary) Zbl 0592.73080 Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 8, No. 1, 185-246 (1984). MSC: 74H45 35R35 74K05 35L85 74G30 74H25 PDFBibTeX XMLCite \textit{L. Amerio}, Rend. Accad. Naz. Sci. Detta XL, V. Ser., Mem. Mat. 8, No. 1, 185--246 (1984; Zbl 0592.73080)
Egorov, A. I. Stability and optimization of distributed-parameter systems. (English. Russian original) Zbl 0574.73094 Sov. Appl. Mech. 20, 381-386 (1984); translation from Prikl. Mekh., Kiev 20, No. 4, 96-103 (1984). Reviewer: R.Schmidt MSC: 74P99 49J20 74H45 35D05 74K20 74S30 PDFBibTeX XMLCite \textit{A. I. Egorov}, Sov. Appl. Mech. 20, 381--386 (1984; Zbl 0574.73094); translation from Prikl. Mekh., Kiev 20, No. 4, 96--103 (1984) Full Text: DOI
Narukawa, Kimiaki Complete controllability of one-dimensional vibrating systems with bang- bang controls. (English) Zbl 0568.49023 SIAM J. Control Optimization 22, 788-804 (1984). Reviewer: O.Cârjă MSC: 93B03 49J20 49J30 35B37 35L20 74H45 93B05 93C05 93C20 PDFBibTeX XMLCite \textit{K. Narukawa}, SIAM J. Control Optim. 22, 788--804 (1984; Zbl 0568.49023) Full Text: DOI
Varkhalev, Yu. P.; Gorr, G. V. Properties of a certain class of asymptotic motions of a heavy solid body with a fixed point. (Russian) Zbl 0549.73042 Mat. Fiz. Nelineĭn. Mekh. 2(36), 14-18 (1984). Reviewer: A.Fischer MSC: 74H45 70E15 35C10 PDFBibTeX XMLCite \textit{Yu. P. Varkhalev} and \textit{G. V. Gorr}, Mat. Fiz. Nelineĭn. Mekh. 2(36), 14--18 (1984; Zbl 0549.73042)
Gladwell, G. M. L. The inverse problem for the vibrating beam. (English) Zbl 0542.73087 Proc. R. Soc. Lond., Ser. A 393, 277-295 (1984). Reviewer: G.Ramaiah MSC: 74H45 74K10 35R30 PDFBibTeX XMLCite \textit{G. M. L. Gladwell}, Proc. R. Soc. Lond., Ser. A 393, 277--295 (1984; Zbl 0542.73087) Full Text: DOI
Brézis, Haïm Periodic solutions of nonlinear vibrating strings and duality principles. (English) Zbl 0537.35055 The mathematical heritage of Henri Poincaré, Proc. Symp. Pure Math. 39, Part 2, Bloomington/Indiana 1980, 31-48 (1983). Reviewer: D.Fortunato MSC: 35L70 35A15 35B10 PDFBibTeX XML
Vullierme-Ledard, Martine Vibrations engendrees par les oscillations forcees d’un corps rigide immerge dans un fluide incompressible presentant une surface libre. (French) Zbl 0524.76024 C. R. Acad. Sci., Paris, Sér. I 296, 611-614 (1983). MSC: 76B15 35R35 PDFBibTeX XMLCite \textit{M. Vullierme-Ledard}, C. R. Acad. Sci., Paris, Sér. I 296, 611--614 (1983; Zbl 0524.76024)
Hutchinson, J. R.; Zillmer, S. D. Vibration of a free rectangular parallelepiped. (English) Zbl 0511.73060 J. Appl. Mech. 50, 123-130 (1983). MSC: 74H45 35J05 35C10 PDFBibTeX XMLCite \textit{J. R. Hutchinson} and \textit{S. D. Zillmer}, J. Appl. Mech. 50, 123--130 (1983; Zbl 0511.73060) Full Text: DOI
Irretier, H. The influence of mid-plane normal stress and cross section deformation in free vibrating plates. (English) Zbl 0508.73042 Mech., Res. Commun. 10, 53-61 (1983). MSC: 74H45 74K20 49M15 35P99 PDFBibTeX XMLCite \textit{H. Irretier}, Mech. Res. Commun. 10, 53--61 (1983; Zbl 0508.73042) Full Text: DOI
de Groen, Pieter P. N. Eigenvalues of singularly perturbed problems: Reduction to elliptic operators. (English) Zbl 0543.73077 Computational and asymptotic methods for boundary and interior layers, Proc. BAIL II Conf., Dublin 1982, Boole Press Conf. Ser. 4, 257-262 (1982). MSC: 74H45 35P15 35J35 74K15 PDFBibTeX XML
Brézis, Haïm Periodic solutions of nonlinear vibrating strings. (English) Zbl 0543.35065 Dynamical systems II, Proc. int. Symp., Gainesville/Fla. 1981, 11-30 (1982). Reviewer: G.Hecquet MSC: 35L70 35B10 35L20 PDFBibTeX XML
Lovicar, Vladimir Free vibrations for the equation \(u_{tt}-u_{xx}+f(u)=0\) with f sublinear. (English) Zbl 0528.35065 Differential equations and their applications, Equadiff 5, Proc. 5th Czech. Conf., Bratislava 1981, Teubner-Texte Math. 47, 228-230 (1982). MSC: 35L70 35L20 35B10 PDFBibTeX XML
Orazov, M. B. Wave propagation in the problem of vibrations of an ideal fluid in a channel with an elastic bottom. (Russian) Zbl 0506.76012 Correct boundary value problems for non-classical equations of mathematical physics, Collect. sci. Works, Novosibirsk 1981, 162-164 (1981). MSC: 76B15 35G05 74F10 PDFBibTeX XML
El-Raheb, M.; Wagner, P. Vibration of a liquid with a free surface in a spinning spherical tank. (English) Zbl 0486.76032 J. Sound Vib. 76, 83-93 (1981). MSC: 76B47 76U05 76E20 76M99 76B55 35Q05 70K40 65N30 PDFBibTeX XMLCite \textit{M. El-Raheb} and \textit{P. Wagner}, J. Sound Vib. 76, 83--93 (1981; Zbl 0486.76032) Full Text: DOI
Kukhta, K. Ya. The solution of a continuous-discrete boundary value problem with non- separable variables in the case of discrete nonhomogeneities. (Russian) Zbl 0472.73056 Vychisl. Prikl. Mat., Kiev 45, 46-53 (1981). MSC: 74H45 74K10 35B20 35Q99 PDFBibTeX XMLCite \textit{K. Ya. Kukhta}, Vychisl. Prikl. Mat. 45, 46--53 (1981; Zbl 0472.73056)
Putnick, Leonard J.; Matkowsky, Bernard J.; Reiss, Edward L. Secondary states of vibrating plates. (English) Zbl 0471.73061 J. Acoust. Soc. Am. 69, 1682-1687 (1981). MSC: 74H45 74K20 35B32 35B20 PDFBibTeX XMLCite \textit{L. J. Putnick} et al., J. Acoust. Soc. Am. 69, 1682--1687 (1981; Zbl 0471.73061) Full Text: DOI Link
Fox, David W.; Sigillito, Vincent G. Bounds for eigenvalues of reinforced plates. (English) Zbl 0458.73041 Numerische Behandlung von Differentialgleichungen, Bd. 3, Tag. Clausthal 1980, ISNM 56, 45-57 (1981). MSC: 74H45 74K20 74E30 35P15 74E10 PDFBibTeX XML
Tovstik, P. E. Free vibrations of long cylindrical shells. (Russian) Zbl 0513.73073 Current problems of continuum mechanics, Interuniv. Collect., Leningrad 1980, 207-216 (1980). MSC: 74H45 74K15 35P99 PDFBibTeX XML
Leipholz, H. H. E. An extension of Mercer’s theorem to a class of non-symmetric integral equations. (English) Zbl 0441.45019 Acta Mech. 37, 99-110 (1980). MSC: 45M10 70J10 70J30 74H45 35J25 35C15 45C05 45A05 PDFBibTeX XMLCite \textit{H. H. E. Leipholz}, Acta Mech. 37, 99--110 (1980; Zbl 0441.45019) Full Text: DOI
Dymitruk, Anna; Muszynski, Jerzy Damped vibrations of strings connected in a node. (English) Zbl 0423.70021 Demonstr. Math. 12, 501-508 (1979). MSC: 70J30 35E15 PDFBibTeX XMLCite \textit{A. Dymitruk} and \textit{J. Muszynski}, Demonstr. Math. 12, 501--508 (1979; Zbl 0423.70021) Full Text: DOI