Baysal, Onur; Hasanov, Alemdar; Kawano, Alexandre Reconstruction of the spatial component in the source term of a vibrating elastic plate from boundary observation. (English) Zbl 1525.49030 Appl. Math. Modelling 103, 409-420 (2022). MSC: 49N45 74K20 74K10 PDFBibTeX XMLCite \textit{O. Baysal} et al., Appl. Math. Modelling 103, 409--420 (2022; Zbl 1525.49030) Full Text: DOI
Yildirim, Kenan Active control of a forced Mindlin-type beam. (English) Zbl 1441.35247 Appl. Appl. Math., Spec. Iss. 3, 22-34 (2019). MSC: 35Q93 49J20 49N05 74H45 PDFBibTeX XMLCite \textit{K. Yildirim}, Appl. Appl. Math., 22--34 (2019; Zbl 1441.35247) Full Text: Link
Zrazhevsky, G.; Golodnikov, A.; Uryasev, S. Mathematical methods to find optimal control of oscillations of a hinged beam (deterministic case). (English. Russian original) Zbl 1460.49004 Cybern. Syst. Anal. 55, No. 6, 1009-1026 (2019); translation from Kibern. Sist. Anal. 2019, No. 6, 145-164 (2019). MSC: 49J20 49M99 74K10 74K30 PDFBibTeX XMLCite \textit{G. Zrazhevsky} et al., Cybern. Syst. Anal. 55, No. 6, 1009--1026 (2019; Zbl 1460.49004); translation from Kibern. Sist. Anal. 2019, No. 6, 145--164 (2019) Full Text: DOI
Chekurin, V. F.; Postolaki, L. I. Application of the variational method of homogeneous solutions for the optimal control of the axisymmetric thermoelastic state of a cylinder. (English. Russian original) Zbl 1435.80002 J. Math. Sci., New York 243, No. 1, 128-144 (2019); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 105-116 (2017). MSC: 80A19 74F05 74B10 49N90 80M50 PDFBibTeX XMLCite \textit{V. F. Chekurin} and \textit{L. I. Postolaki}, J. Math. Sci., New York 243, No. 1, 128--144 (2019; Zbl 1435.80002); translation from Mat. Metody Fiz.-Mekh. Polya 60, No. 2, 105--116 (2017) Full Text: DOI
Guliyev, Hamlet F.; Seyfullaeva, Khayala I. Optimal control problem for the equation of vibrations of an elastic plate. (English) Zbl 1401.49021 Georgian Math. J. 25, No. 3, 371-379 (2018). MSC: 49K20 35Q74 49J20 74D10 74K20 PDFBibTeX XMLCite \textit{H. F. Guliyev} and \textit{K. I. Seyfullaeva}, Georgian Math. J. 25, No. 3, 371--379 (2018; Zbl 1401.49021) Full Text: DOI
Arabyan, Mariam On the existence of solutions of two optimization problems. (English) Zbl 1400.49055 J. Optim. Theory Appl. 177, No. 2, 291-305 (2018). MSC: 49R05 49K15 34B09 PDFBibTeX XMLCite \textit{M. Arabyan}, J. Optim. Theory Appl. 177, No. 2, 291--305 (2018; Zbl 1400.49055) Full Text: DOI
Li, Tongxing; Viglialoro, Giuseppe Analysis and explicit solvability of degenerate tensorial problems. (English) Zbl 1382.35077 Bound. Value Probl. 2018, Paper No. 2, 13 p. (2018). MSC: 35F45 35L80 49J20 74K25 PDFBibTeX XMLCite \textit{T. Li} and \textit{G. Viglialoro}, Bound. Value Probl. 2018, Paper No. 2, 13 p. (2018; Zbl 1382.35077) Full Text: DOI
van den Berg, M.; Ferone, V.; Nitsch, C.; Trombetti, C. On Pólya’s inequality for torsional rigidity and first Dirichlet eigenvalue. (English) Zbl 1388.49012 Integral Equations Oper. Theory 86, No. 4, 579-600 (2016). MSC: 49J45 49R05 35P15 47A75 35J25 PDFBibTeX XMLCite \textit{M. van den Berg} et al., Integral Equations Oper. Theory 86, No. 4, 579--600 (2016; Zbl 1388.49012) Full Text: DOI arXiv
Stepanov, Alexey B.; Antman, Stuart S. Radially symmetric steady states of nonlinearly elastic plates and shells. (English) Zbl 1386.74029 J. Elasticity 124, No. 2, 243-278 (2016). MSC: 74B20 74K20 74K25 34B15 47N20 49K15 74D10 PDFBibTeX XMLCite \textit{A. B. Stepanov} and \textit{S. S. Antman}, J. Elasticity 124, No. 2, 243--278 (2016; Zbl 1386.74029) Full Text: DOI
Grabovsky, Yury; Harutyunyan, Davit Scaling instability in buckling of axially compressed cylindrical shells. (English) Zbl 1331.74111 J. Nonlinear Sci. 26, No. 1, 83-119 (2016). MSC: 74K25 26D10 35A23 49S05 PDFBibTeX XMLCite \textit{Y. Grabovsky} and \textit{D. Harutyunyan}, J. Nonlinear Sci. 26, No. 1, 83--119 (2016; Zbl 1331.74111) Full Text: DOI arXiv
Fußeder, Daniela; Simeon, Bernd Algorithmic aspects of isogeometric shape optimization. (English) Zbl 1334.65109 Jüttler, Bert (ed.) et al., Isogeometric analysis and applications 2014. Selected papers based on the presentations at the IGAA 2014, Annweiler am Trifels, Germany, April 7–10, 2014. Cham: Springer (ISBN 978-3-319-23314-7/hbk; 978-3-319-23315-4/ebook). Lecture Notes in Computational Science and Engineering 107, 183-207 (2015). MSC: 65K10 49Q10 65D17 49M25 65D07 PDFBibTeX XMLCite \textit{D. Fußeder} and \textit{B. Simeon}, Lect. Notes Comput. Sci. Eng. 107, 183--207 (2015; Zbl 1334.65109) Full Text: DOI
Bojczuk, Dariusz; Mróz, Zenon Topological sensitivity derivative with respect to area, shape and orientation of an elliptic hole in a plate. (English) Zbl 1274.74318 Struct. Multidiscip. Optim. 45, No. 2, 153-169 (2012). MSC: 74P15 49Q12 74K20 PDFBibTeX XMLCite \textit{D. Bojczuk} and \textit{Z. Mróz}, Struct. Multidiscip. Optim. 45, No. 2, 153--169 (2012; Zbl 1274.74318) Full Text: DOI
Grossi, Ricardo Oscar Boundary value problems for anisotropic plates with internal line hinges. (English) Zbl 1356.74118 Acta Mech. 223, No. 1, 125-144 (2012). MSC: 74K20 74E10 74G65 49J40 PDFBibTeX XMLCite \textit{R. O. Grossi}, Acta Mech. 223, No. 1, 125--144 (2012; Zbl 1356.74118) Full Text: DOI
Avkhadiev, F. G. Isoperimetric inequality for torsional rigidity in multidimensional domains. (English. Russian original) Zbl 1253.49029 Russ. Math. 56, No. 7, 39-43 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 7, 45-49 (2012). MSC: 49Q05 74P99 PDFBibTeX XMLCite \textit{F. G. Avkhadiev}, Russ. Math. 56, No. 7, 39--43 (2012; Zbl 1253.49029); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 7, 45--49 (2012) Full Text: DOI
Han, Zhong-Jie; Xu, Gen-Qi Exponential stability of Timoshenko beam system with delay terms in boundary feedbacks. (English) Zbl 1251.93106 ESAIM, Control Optim. Calc. Var. 17, No. 2, 552-574 (2011). MSC: 93D15 93C20 49K27 34H05 70Q05 PDFBibTeX XMLCite \textit{Z.-J. Han} and \textit{G.-Q. Xu}, ESAIM, Control Optim. Calc. Var. 17, No. 2, 552--574 (2011; Zbl 1251.93106) Full Text: DOI EuDML
Akulenko, L. D. Boundary kinematic control of distributed oscillatory system. (Russian) Zbl 1164.70030 Prikl. Mat. Mekh. 71, No. 6, 956-963 (2007). Reviewer: V. V. Vlasov (Moskva) MSC: 70Q05 49J20 PDFBibTeX XMLCite \textit{L. D. Akulenko}, Prikl. Mat. Mekh. 71, No. 6, 956--963 (2007; Zbl 1164.70030)
Ishmukhametov, A. Z.; Makhrous, R. A dual regularized method in a control problem of plate vibrations. (English. Russian original) Zbl 1126.49029 Autom. Remote Control 68, No. 2, 361-368 (2007); translation from Avtom. Telemekh. 68, No. 2, 162-170 (2007). MSC: 49M29 74K20 70J99 PDFBibTeX XMLCite \textit{A. Z. Ishmukhametov} and \textit{R. Makhrous}, Autom. Remote Control 68, No. 2, 361--368 (2007; Zbl 1126.49029); translation from Avtom. Telemekh. 68, No. 2, 162--170 (2007) Full Text: DOI
Luo, Jianhui; Liu, Guangdong; Shang, Shouping Research on a systematic methodology for theory of elasticity. (English) Zbl 1123.74303 Appl. Math. Mech., Engl. Ed. 24, No. 7, 853-862 (2003). MSC: 74B99 49S05 74B05 PDFBibTeX XMLCite \textit{J. Luo} et al., Appl. Math. Mech., Engl. Ed. 24, No. 7, 853--862 (2003; Zbl 1123.74303) Full Text: DOI
Tran-Cong, Ton A variational principle for fluid mechanics. (English) Zbl 0886.76082 Arch. Appl. Mech. 67, No. 1-2, 96-104 (1996). MSC: 76M30 49S05 80A20 PDFBibTeX XMLCite \textit{T. Tran-Cong}, Arch. Appl. Mech. 67, No. 1--2, 96--104 (1996; Zbl 0886.76082) Full Text: DOI
White, L. W. Estimation of elastic parameters in a nonlinear elliptic model of a plate. (English) Zbl 0765.73042 Appl. Math. Comput. 42, No. 2, 139-187 (1991). MSC: 74K20 74B20 74P99 49Q10 65N12 PDFBibTeX XMLCite \textit{L. W. White}, Appl. Math. Comput. 42, No. 2, 139--187 (1991; Zbl 0765.73042) Full Text: DOI
Kallay, Michael; Ravani, Bahram Optimal twist vectors as a tool for interpolating a network of curves with a minimum energy surface. (English) Zbl 0713.65004 Comput. Aided Geom. Des. 7, No. 6, 465-473 (1990). Reviewer: G.Jumarie MSC: 65D05 65D25 41A05 41A63 49J40 PDFBibTeX XMLCite \textit{M. Kallay} and \textit{B. Ravani}, Comput. Aided Geom. Des. 7, No. 6, 465--473 (1990; Zbl 0713.65004) Full Text: DOI
Khalifa, A. K.; Noor, M. A. Quintic splines solutions of a class of contact problems. (English) Zbl 0705.65045 Math. Comput. Modelling 13, No. 2, 51-58 (1990). Reviewer: V.Arnăutu MSC: 65K10 74K10 49J40 74A55 74M15 PDFBibTeX XMLCite \textit{A. K. Khalifa} and \textit{M. A. Noor}, Math. Comput. Modelling 13, No. 2, 51--58 (1990; Zbl 0705.65045) Full Text: DOI
Papastavridis, John G. Impulsive motion of ideally constrained mechanical systems via analytical dynamics. (English) Zbl 0708.70017 Int. J. Eng. Sci. 27, No. 12, 1445-1461 (1989). MSC: 70H30 49S05 70F10 PDFBibTeX XMLCite \textit{J. G. Papastavridis}, Int. J. Eng. Sci. 27, No. 12, 1445--1461 (1989; Zbl 0708.70017) Full Text: DOI
Zhou, Shu-Zi On an axisymmetric free boundary problem. (English) Zbl 0693.73025 J. Math. Anal. Appl. 121, No. 2, 465-486 (1987). MSC: 74C99 35R35 49J40 PDFBibTeX XMLCite \textit{S.-Z. Zhou}, J. Math. Anal. Appl. 121, 465--486 (1987; Zbl 0693.73025) Full Text: DOI
Panagiotopoulos, P. D.; Koltsakis, E. K. Hemivariational inequalities for linear and nonlinear elastic materials. (English) Zbl 0657.73014 Meccanica 22, 65-75 (1987). Reviewer: W.R.Bielski MSC: 74S30 74B20 49J40 74A55 74M15 49M15 PDFBibTeX XMLCite \textit{P. D. Panagiotopoulos} and \textit{E. K. Koltsakis}, Meccanica 22, 65--75 (1987; Zbl 0657.73014) Full Text: DOI
Aslam Noor, Muhammad; Tirmizi, S. I. A. Numerical methods for unilateral problems. (English) Zbl 0623.73120 J. Comput. Appl. Math. 16, 387-395 (1986). Reviewer: D.Fagé MSC: 74A55 74M15 74S30 65L10 41A21 49J40 65K10 PDFBibTeX XMLCite \textit{M. Aslam Noor} and \textit{S. I. A. Tirmizi}, J. Comput. Appl. Math. 16, 387--395 (1986; Zbl 0623.73120) Full Text: DOI
Comodi, M. I. Approximation of a fourth order variational inequality. (English) Zbl 0588.73145 RAIRO, Modélisation Math. Anal. Numér. 20, 5-24 (1986). Reviewer: V.Arnăutu (Iaşi) MSC: 74S05 49J40 74K20 49K20 35R45 65N30 PDFBibTeX XMLCite \textit{M. I. Comodi}, RAIRO, Modélisation Math. Anal. Numér. 20, 5--24 (1986; Zbl 0588.73145) Full Text: DOI EuDML
Bratus’, A. S.; Seĭranyan, A. P. Bimodal solutions in eigenvalue optimization problems. (English. Russian original) Zbl 0569.47004 J. Appl. Math. Mech. 47, 451-457 (1984); translation from Prikl. Mat. Mekh. 47, 546-554 (1983). Reviewer: W. Arendt MSC: 47A10 70J25 49R05 47B25 PDFBibTeX XMLCite \textit{A. S. Bratus'} and \textit{A. P. Seĭranyan}, J. Appl. Math. Mech. 47, 451--457 (1984; Zbl 0569.47004); translation from Prikl. Mat. Mekh. 47, 546--554 (1983) Full Text: DOI
Fu, Bao-lian On the modified Castigliano theorem. (English) Zbl 0546.73009 Appl. Math. Mech., Engl. Ed. 5, 1263-1272 (1984). MSC: 74S30 49S05 PDFBibTeX XMLCite \textit{B.-l. Fu}, Appl. Math. Mech., Engl. Ed. 5, 1263--1272 (1984; Zbl 0546.73009) Full Text: DOI
Utku, M.; Carey, G. F. Penalty resolution of the Babushka circle paradox. (English) Zbl 0509.73075 Comput. Methods Appl. Mech. Eng. 41, 11-28 (1983). MSC: 74S05 74K20 49M30 74S99 PDFBibTeX XMLCite \textit{M. Utku} and \textit{G. F. Carey}, Comput. Methods Appl. Mech. Eng. 41, 11--28 (1983; Zbl 0509.73075) Full Text: DOI
Fu, Bao-lian Applications of the reciprocal theorem to solving the equations of the deflection surface of the rectangular plates with various edge conditions. (English) Zbl 0501.73052 Appl. Math. Mech., Engl. Ed. 3, 353-364 (1982). MSC: 74K20 74K10 74S30 49S05 PDFBibTeX XMLCite \textit{B.-l. Fu}, Appl. Math. Mech., Engl. Ed. 3, 353--364 (1982; Zbl 0501.73052) Full Text: DOI
Usmani, Riaz A. On a class of numerical integration methods for a problem of plate deflection theory. (English) Zbl 0483.73070 Int. J. Comput. Math. 11, 305-318 (1982). MSC: 74S30 65L10 34B15 74K20 49M25 PDFBibTeX XMLCite \textit{R. A. Usmani}, Int. J. Comput. Math. 11, 305--318 (1982; Zbl 0483.73070) Full Text: DOI
Hughes, Thomas J. R.; Liu, Wing Kam Nonlinear finite element analysis of shells. I. Three-dimensional shells. (English) Zbl 0461.73061 Comput. Methods Appl. Mech. Eng. 26, 331-362 (1981). MSC: 74S05 74K15 74B20 74A20 65D30 49M15 PDFBibTeX XMLCite \textit{T. J. R. Hughes} and \textit{W. K. Liu}, Comput. Methods Appl. Mech. Eng. 26, 331--362 (1981; Zbl 0461.73061) Full Text: DOI
Pajmushin, V. N. Calculation of plates and shells with a complex contour. (English. Russian original) Zbl 0475.73047 Sov. Appl. Mech. 16, 316-322 (1980); translation from Prikl. Mekh. 16, No. 4, 63-70 (1980). MSC: 74K20 74K15 49S05 49M15 PDFBibTeX XMLCite \textit{V. N. Pajmushin}, Sov. Appl. Mech. 16, 316--322 (1980; Zbl 0475.73047); translation from Prikl. Mekh. 16, No. 4, 63--70 (1980) Full Text: DOI
Ohtake, K.; Oden, J. T.; Kikuchi, N. Analysis of certain unilateral problems in von Kármán plate theory by a penalty method. II. Approximation and numerical analysis. (English) Zbl 0457.73096 Comput. Methods Appl. Mech. Eng. 24, 317-337 (1980). MSC: 74A55 74M15 74S05 65N30 65K10 74-04 74K20 49J40 35D10 74G60 47H05 49M30 35G30 PDFBibTeX XMLCite \textit{K. Ohtake} et al., Comput. Methods Appl. Mech. Eng. 24, 317--337 (1980; Zbl 0457.73096) Full Text: DOI
Ohtake, K.; Oden, J. T.; Kikuchi, N. Analysis of certain unilateral problems in von Kármán plate theory by a penalty method. I. A variational principle with penalty. (English) Zbl 0457.73095 Comput. Methods Appl. Mech. Eng. 24, 187-213 (1980). MSC: 74A55 74M15 74K20 49J40 65K10 74S05 65N30 49M30 35D10 74B20 74G60 47H05 35G30 PDFBibTeX XMLCite \textit{K. Ohtake} et al., Comput. Methods Appl. Mech. Eng. 24, 187--213 (1980; Zbl 0457.73095) Full Text: DOI
Bercovier, M.; Livne, E. A 4 CST quadrilateral element for incompressible materials and nearly incompressible materials. (English) Zbl 0418.73009 Calcolo 16, 5-19 (1979). MSC: 74S30 49S05 PDFBibTeX XMLCite \textit{M. Bercovier} and \textit{E. Livne}, Calcolo 16, 5--19 (1979; Zbl 0418.73009) Full Text: DOI
Limarchenko, O. S. Variational principle for nonsteady multicomponent continuum system. (English. Russian original) Zbl 0426.73007 Sov. Appl. Mech. 14, 1039-1043 (1979); translation from Prikl. Mekh. 14, No. 10, 28-34 (1978). MSC: 74A20 76A02 49S05 PDFBibTeX XMLCite \textit{O. S. Limarchenko}, Sov. Appl. Mech. 14, 1039--1043 (1978; Zbl 0426.73007); translation from Prikl. Mekh. 14, No. 10, 28--34 (1978) Full Text: DOI
Carmichael, D.; Goh, B. S. Optimal vibrating plates and a distributed parameter singular control problem. (English) Zbl 0372.49009 Int. J. Control 26, 19-31 (1977). MSC: 49K20 74K20 93C20 49J20 PDFBibTeX XMLCite \textit{D. Carmichael} and \textit{B. S. Goh}, Int. J. Control 26, 19--31 (1977; Zbl 0372.49009) Full Text: DOI
Distefano, N. Dynamic programming and the optimum design of rotating disks. (English) Zbl 0226.49019 J. Optimization Theory Appl. 10, 109-131 (1972). MSC: 49L20 49L99 PDFBibTeX XMLCite \textit{N. Distefano}, J. Optim. Theory Appl. 10, 109--131 (1972; Zbl 0226.49019) Full Text: DOI
Kim, M. Dynamic control of biharmonic processes. (English) Zbl 0222.49002 J. Franklin Inst. 288, 415-418 (1969). MSC: 49L99 70H20 49L20 49N10 PDFBibTeX XMLCite \textit{M. Kim}, J. Franklin Inst. 288, 415--418 (1969; Zbl 0222.49002) Full Text: DOI