Edit Profile Andrianov, Igor V. Compute Distance To: Compute Author ID: andrianov.igor-v Published as: Andrianov, I. V.; Andrianov, Igor V.; Andrianov, Igor; Andrianov, I.; Adrianov, Igor V.; Adrianov, Igor Documents Indexed: 119 Publications since 1981, including 10 Books Reviewing Activity: 355 Reviews all top 5 Co-Authors 18 single-authored 35 Danishevskiĭ, Vladislav Valentinovich 22 Weichert, Dieter 12 Tokarzewski, Stanisław 10 Starushenko, Galina A. 8 Kholod, Elena G. 8 Manevich, Leonid Isaakovich 7 Awrejcewicz, Jan 7 Topol, Heiko 5 Mikhlin, Yuri Vladimirovich 4 Bolshakov, Vladimir I. 4 Gendelman, Oleg V. 4 Kolpakov, Alexander G. 4 Shevchenko, V. V. 3 Bulanova, N. S. 3 Kalamkarov, Alexander L. 3 Kaplunov, Julius D. 3 Markert, Bernd 3 Pilipchuk, Valery N. 3 Rogerson, Graham A. 2 Gałka, Andrzej 2 Krizhevsky, G. A. 2 Nerubajlo, B. V. 2 Obraztsov, Ivan Filippovich 2 Ryzhkov, Oleksandr I. 2 Sedin, V. L. 2 Vakakis, Alexander F. 1 Argatov, Ivan I. 1 Astashev, Vladimir K. 1 Ausheva, Nataliia M. 1 Babitsky, Vladimir I. 1 Bławzdziewicz, Jerzy 1 Bochkarev, Andrey V. 1 Emaci, Edward 1 Guillet, Alain 1 Ivankov, A. O. 1 Ivankov, Andrey 1 Koblik, S. G. 1 Konashenko, S. I. 1 Kovaleva, Margarita Alekseevna 1 Kudaibergenov, A. K. 1 Kushnierov, Ievgen A. 1 Lesnichaya, V. A. 1 Linnik, R. Ya. 1 Luyt, Adriaan S. 1 Manevich, Arkadiy I. 1 Markert, Berndt 1 Mityushev, Vladimir V. 1 Mogilevich, Lev I. 1 Olevs’ka, Yuliia Borysivna 1 Olevskyi, Viktor I. 1 Oshmyan, Victor G. 1 Pareige, Philippe 1 Piskunov, V. I. 1 Porubov, Alexey V. 1 Prikazchikov, Danila A. 1 Rakin, Sergei I. 1 Ryzhkov, Alexander I. 1 Sedin, W. 1 Selyanskij, V. K. 1 Smirnov, Valeri V. 1 Starosvetsky, Yuli 1 van Horssen, Wilhem Teunis 1 Zemlyanukhin, Alexander I. all top 5 Serials 7 Acta Mechanica 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 5 Wave Motion 5 Nonlinear Dynamics 4 International Journal of Engineering Science 4 Journal of Sound and Vibration 4 Physics-Doklady 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Journal of Applied Mathematics and Mechanics 3 Journal of Soviet Mathematics 3 European Journal of Mechanics. A. Solids 2 International Journal of Heat and Mass Transfer 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Prikladnaya Matematika i Mekhanika 2 Soviet Applied Mechanics 2 Archive of Applied Mechanics 2 Dopovidi Akademiï Nauk Ukraïni 2 International Applied Mechanics 2 Dinamicheskie Sistemy (Kiev) 2 Mathematics and Mechanics of Solids 2 Advanced Structured Materials 2 Nelineĭnaya Dinamika 1 Archives of Mechanics 1 International Journal of Non-Linear Mechanics 1 International Journal of Solids and Structures 1 Mechanika Teoretyczna i Stosowana 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 Numerical Algorithms 1 Journal of Natural Geometry 1 Prikladnaya Mekhanika 1 Soviet Physics. Doklady 1 Facta Universitatis. Series Mechanics, Automatic Control and Robotics 1 Vychislitel’naya i Prikladnaya Matematika 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Computer Assisted Mechanics and Engineering Sciences 1 Matematicheskoe Modelirovanie 1 Journal of Applied Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Springer Series in Synergetics 1 Acta Mechanica Sinica 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Proceedings of the Estonian Academy of Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Foundations of Engineering Mechanics all top 5 Fields 86 Mechanics of deformable solids (74-XX) 18 Partial differential equations (35-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Ordinary differential equations (34-XX) 8 Mechanics of particles and systems (70-XX) 7 Approximations and expansions (41-XX) 5 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 59 Publications have been cited 306 times in 161 Documents Cited by ▼ Year ▼ Higher-order asymptotic homogenization and wave propagation in periodic composite materials. Zbl 1153.74024Andrianov, Igor V.; Bolshakov, Vladimir I.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 38 2008 Asymptotic approaches in nonlinear dynamics. New trends and applications. Zbl 0910.70001Awrejcewicz, Jan; Andrianov, I. V.; Manevitch, L. I. 37 1998 Improved continuous models for discrete media. Zbl 1191.76102Andrianov, I. V.; Awrejcewicz, J.; Weichert, D. 24 2010 Averaging method in statics and dynamics of ribbed shells (Metod usredneniya v statike i dinamike rebristykh obolochek). Zbl 0576.73054Andrianov, I. V.; Lesnichaya, V. A.; Manevich, L. I. 13 1985 Transitions from strongly to weakly nonlinear motions of damped nonlinear oscillators. Zbl 1013.70017Salenger, G.; Vakakis, A. F.; Gendelman, Oleg; Manevitch, Leonid; Andrianov, Igor 12 1999 Mechanics of periodically heteregeneous structures. Zbl 1006.74001Manevitch, L. I.; Andrianov, I. V.; Oshmyan, V. G. 11 2002 Asymptotic study of imperfect interfaces in conduction through a granular composite material. Zbl 1211.74056Andrianov, Igor V.; Bolshakov, Vladimir I.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 11 2010 Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions. Zbl 1027.74055Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 10 2002 Study of two-dimensional axisymmetric breathers using Padé approximants. Zbl 0883.35106Emaci, E.; Vakakis, A. F.; Andrianov, I. V.; Mikhlin, Yu. 10 1997 Dynamic homogenization and wave propagation in a nonlinear 1D composite material. Zbl 1360.74129Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Ryzhkov, Oleksandr I.; Weichert, Dieter 8 2013 Asymptotic approach for non-linear periodical vibrations of continuous structures. Zbl 1237.74044Andrianov, I. V.; Danishevs’kyy, V. V. 8 2002 Homogenization of a 1D nonlinear dynamical problem for periodic composites. Zbl 1316.74043Andrianov, I. V.; Danishevs’kyy, V. V.; Topol, H.; Weichert, D. 8 2011 Simple estimation on effective transport properties of a random composite material with cylindrical fibres. Zbl 1157.74033Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 5 2008 Analytical study of the load transfer in fibre-reinforced 2D composite materials. Zbl 1169.74369Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 5 2008 Homogenization procedure and Padé approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section. Zbl 0953.74054Andrianov, I. V.; Starushenko, G. A.; Danishevs’kyy, V. V.; Tokarzewski, S. 5 1999 Boundary layers in fibrous composite materials. Zbl 1398.74051Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 5 2011 Nonlinear waves in diatomic crystals. Zbl 1454.74095Porubov, A. V.; Andrianov, I. V. 4 2013 Edge-localized effects in buckling and vibrations of a shell with free in circumferential direction ends. Zbl 1066.74031Andrianov, I. V. 4 2004 Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear. Zbl 1079.74601Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Guillet, Alain; Pareige, Philippe 4 2005 Quasifractional approximants in the theory of composite materials. Zbl 0958.80001Andrianov, Igor; Danishevsky, Vladyslav; Tokarzewski, Stanisław 4 2000 Homogenization of viscoelastic composites with fibres of diamond-shaped cross-section. Zbl 1401.74240Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Kholod, Elena G. 4 2012 Asymptotical mechanics of composites. Modelling composites without FEM. Zbl 1383.74001Andrianov, Igor V.; Awrejcewicz, Jan; Danishevskyy, Vladyslav V. 4 2018 Effective coefficients for real non-linear and fictitious linear temperature-dependent periodic composites. Zbl 1342.74021Tokarzewski, S.; Andrianov, I. 3 2001 Asymptotic analysis of perforated shallow shells. Zbl 1423.74574Kalamkarov, Alexander L.; Andrianov, Igor V.; Weichert, Dieter 3 2012 Three-phase model for a composite material with cylindrical circular inclusions. I: Application of the boundary shape perturbation method. Zbl 1423.74046Kalamkarov, Alexander L.; Andrianov, Igor V.; Starushenko, Galina A. 3 2014 Three-phase model for a composite material with cylindrical circular inclusions. II: Application of Padé approximants. Zbl 1423.74047Kalamkarov, Alexander L.; Andrianov, Igor V.; Starushenko, Galina A. 3 2014 Homogenization procedure and Padé approximations in the theory of composite materials with parallelepiped inclusions. Zbl 0918.73007Andrianov, I. V.; Starushenko, G. A.; Tokarzewski, S. 3 1998 Two-point Padé approximants for formal Stieltjes series. Zbl 0814.41015Tokarzewski, Stanisław; Bławzdziewicz, Jerzy; Andrianov, I. V. 3 1994 Approximate equations of axisymmetric vibrations of cylindrical shells. Zbl 0486.73058Andrianov, I. V.; Manevich, L. I. 3 1981 Asymptotic methods in the theory of plates with mixed boundary conditions. Zbl 1286.76004Andrianov, Igor V.; Awrejcewicz, Jan; Danishevs’kyy, Vladyslav; Ivankov, Andrey 3 2014 Propagation of Floquet-Bloch shear waves in viscoelastic composites: analysis and comparison of interface/interphase models for imperfect bonding. Zbl 1383.74048Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Topol, Heiko; Rogerson, Graham A. 3 2017 An asymptotic strategy to couple homogenized elastic structures. Zbl 1423.74789Kolpakov, Alexander G.; Andrianov, Igor V.; Rakin, Sergei I.; Rogerson, Graham A. 2 2018 Load transfer in fibre-reinforced composites with viscoelastic matrix: An analytical study. Zbl 1184.74014Andrianov, I. V.; Topol, H.; Weichert, D. 2 2009 Load-transfer from an elastic fibre to isotropic half-space with coating. Zbl 1193.93112Andrianov, Igor V.; Awrejcewicz, Jan; Weichert, Dieter 2 2009 Load-transfer from fibre to anisotropic half-space for dilute composites. Zbl 1155.74320Andrianov, I. V.; Danishevs’kyy, V. V.; Weichert, D. 2 2008 Asymptotic construction of nonlinear normal modes for continuous systems. Zbl 1170.74331Andrianov, I. V. 2 2008 Continuum approximation for high-frequency oscillations of a chain and composite equations. Zbl 0756.70028Obraztsov, I. F.; Andrianov, I. V.; Nerubajlo, B. V. 2 1991 Asymptotic methods in the structural mechanics of thin-walled structures. (Asimptoticheskie metody v stroitel’noj mekhanike tonkostennykh konstruktsij.) Zbl 0914.73007Obraztsov, I. F.; Nerubajlo, B. V.; Andrianov, I. V. 2 1991 Nonlinear free vibration of shallow cylindrical shell by Bolotin’s asymptotic method. Zbl 0958.74507Andrianov, I. V.; Kholod, E. G. 2 1993 Asymptotics of nonlinear dynamical systems with high degree of nonlinearity. Zbl 1031.37020Andrianov, I. V. 2 2002 Construction of simplified equations of nonlinear dynamics of plates and shallow shells by the averaging method. Zbl 0616.73058Andrianov, I. V. 2 1986 On the theory of Berger plates. Zbl 0527.73035Andrianov, I. V. 2 1983 Asymptotic decomposition in the problem of joined elastic beams. Zbl 1301.74033Kolpakov, Alexander G.; Andrianov, Igor V. 2 2014 Spatial localization of linear elastic waves in composite materials with defects. Zbl 1303.74019Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Kushnierov, Ievgen A. 2 2014 Analytical approximations of the period of a generalized nonlinear van der Pol oscillator. Zbl 1243.34019Andrianov, Igor V.; van Horssen, Wim T. 2 2006 Application of quasi-continuum models for perturbation analysis of discrete kinks. Zbl 1247.35119Andrianov, Igor V.; Kholod, Elena G.; Weichert, Dieter 2 2012 Numerical investigation of 1D continuum dynamical models of discrete chain. Zbl 1256.65068Andrianov, I. V.; Starushenko, G. A.; Weichert, D. 2 2012 The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell. Zbl 1397.74133Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I. 2 2018 Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material. Zbl 1456.74106Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Ryzhkov, Oleksandr I.; Weichert, Dieter 1 2014 The generalized Schamel equation in nonlinear wave dynamics of cylindrical shells. Zbl 1430.37087Zemlyanukhin, A. I.; Andrianov, I. V.; Bochkarev, A. V.; Mogilevich, L. I. 1 2019 Exact and “exact” formulae in the theory of composites. Zbl 1405.74008Andrianov, Igor; Mityushev, Vladimir 1 2018 Asymptotic methods in the theory of vibrations of beams and panels. (Асимптотические методы в теории колебаний балок и пластин.) Zbl 1228.74001Andrianov, I. V.; Danishevskij, V. V.; Ivankov, A. O. 1 2010 Padé approximations and continualization for 1D mass chain. Zbl 1099.65019Andrianov, I. V. 1 2006 Laplace transform inverse problem application of two-point Padé approximant. Zbl 0757.65132Andrianov, Igor V. 1 1992 Free vibration analysis of rectangular plates with structural inhomogeneity. Zbl 0925.73361Andrianov, I. V.; Krizhevsky, G. A. 1 1993 Two-point Padé approximants and their applications to in solving mechanical problems. Zbl 0953.74619Andrianov, Igor; Mikhlin, Yuri; Tokarzewski, Stanisław 1 1997 The specific features of the limiting transition from a discrete elastic medium to a continuous one. Zbl 1066.34507Andrianov, I. V. 1 2002 Bounds on the effective transport coefficients of two-phase media from discrete theoretical and experimental data. Zbl 0949.74056Tokarzewski, Stanisław; Gałka, Andrzej; Andrianov, Igor 1 1997 Homogenization of viscoelastic-matrix fibrous composites with square-lattice reinforcement. Zbl 1271.74380Andrianov, I. V.; Danishevs’kyy, V. V.; Weichert, D. 1 2011 The generalized Schamel equation in nonlinear wave dynamics of cylindrical shells. Zbl 1430.37087Zemlyanukhin, A. I.; Andrianov, I. V.; Bochkarev, A. V.; Mogilevich, L. I. 1 2019 Asymptotical mechanics of composites. Modelling composites without FEM. Zbl 1383.74001Andrianov, Igor V.; Awrejcewicz, Jan; Danishevskyy, Vladyslav V. 4 2018 An asymptotic strategy to couple homogenized elastic structures. Zbl 1423.74789Kolpakov, Alexander G.; Andrianov, Igor V.; Rakin, Sergei I.; Rogerson, Graham A. 2 2018 The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell. Zbl 1397.74133Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I. 2 2018 Exact and “exact” formulae in the theory of composites. Zbl 1405.74008Andrianov, Igor; Mityushev, Vladimir 1 2018 Propagation of Floquet-Bloch shear waves in viscoelastic composites: analysis and comparison of interface/interphase models for imperfect bonding. Zbl 1383.74048Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Topol, Heiko; Rogerson, Graham A. 3 2017 Three-phase model for a composite material with cylindrical circular inclusions. I: Application of the boundary shape perturbation method. Zbl 1423.74046Kalamkarov, Alexander L.; Andrianov, Igor V.; Starushenko, Galina A. 3 2014 Three-phase model for a composite material with cylindrical circular inclusions. II: Application of Padé approximants. Zbl 1423.74047Kalamkarov, Alexander L.; Andrianov, Igor V.; Starushenko, Galina A. 3 2014 Asymptotic methods in the theory of plates with mixed boundary conditions. Zbl 1286.76004Andrianov, Igor V.; Awrejcewicz, Jan; Danishevs’kyy, Vladyslav; Ivankov, Andrey 3 2014 Asymptotic decomposition in the problem of joined elastic beams. Zbl 1301.74033Kolpakov, Alexander G.; Andrianov, Igor V. 2 2014 Spatial localization of linear elastic waves in composite materials with defects. Zbl 1303.74019Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Kushnierov, Ievgen A. 2 2014 Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material. Zbl 1456.74106Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Ryzhkov, Oleksandr I.; Weichert, Dieter 1 2014 Dynamic homogenization and wave propagation in a nonlinear 1D composite material. Zbl 1360.74129Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Ryzhkov, Oleksandr I.; Weichert, Dieter 8 2013 Nonlinear waves in diatomic crystals. Zbl 1454.74095Porubov, A. V.; Andrianov, I. V. 4 2013 Homogenization of viscoelastic composites with fibres of diamond-shaped cross-section. Zbl 1401.74240Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Kholod, Elena G. 4 2012 Asymptotic analysis of perforated shallow shells. Zbl 1423.74574Kalamkarov, Alexander L.; Andrianov, Igor V.; Weichert, Dieter 3 2012 Application of quasi-continuum models for perturbation analysis of discrete kinks. Zbl 1247.35119Andrianov, Igor V.; Kholod, Elena G.; Weichert, Dieter 2 2012 Numerical investigation of 1D continuum dynamical models of discrete chain. Zbl 1256.65068Andrianov, I. V.; Starushenko, G. A.; Weichert, D. 2 2012 Homogenization of a 1D nonlinear dynamical problem for periodic composites. Zbl 1316.74043Andrianov, I. V.; Danishevs’kyy, V. V.; Topol, H.; Weichert, D. 8 2011 Boundary layers in fibrous composite materials. Zbl 1398.74051Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 5 2011 Homogenization of viscoelastic-matrix fibrous composites with square-lattice reinforcement. Zbl 1271.74380Andrianov, I. V.; Danishevs’kyy, V. V.; Weichert, D. 1 2011 Improved continuous models for discrete media. Zbl 1191.76102Andrianov, I. V.; Awrejcewicz, J.; Weichert, D. 24 2010 Asymptotic study of imperfect interfaces in conduction through a granular composite material. Zbl 1211.74056Andrianov, Igor V.; Bolshakov, Vladimir I.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 11 2010 Asymptotic methods in the theory of vibrations of beams and panels. (Асимптотические методы в теории колебаний балок и пластин.) Zbl 1228.74001Andrianov, I. V.; Danishevskij, V. V.; Ivankov, A. O. 1 2010 Load transfer in fibre-reinforced composites with viscoelastic matrix: An analytical study. Zbl 1184.74014Andrianov, I. V.; Topol, H.; Weichert, D. 2 2009 Load-transfer from an elastic fibre to isotropic half-space with coating. Zbl 1193.93112Andrianov, Igor V.; Awrejcewicz, Jan; Weichert, Dieter 2 2009 Higher-order asymptotic homogenization and wave propagation in periodic composite materials. Zbl 1153.74024Andrianov, Igor V.; Bolshakov, Vladimir I.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 38 2008 Simple estimation on effective transport properties of a random composite material with cylindrical fibres. Zbl 1157.74033Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 5 2008 Analytical study of the load transfer in fibre-reinforced 2D composite materials. Zbl 1169.74369Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 5 2008 Load-transfer from fibre to anisotropic half-space for dilute composites. Zbl 1155.74320Andrianov, I. V.; Danishevs’kyy, V. V.; Weichert, D. 2 2008 Asymptotic construction of nonlinear normal modes for continuous systems. Zbl 1170.74331Andrianov, I. V. 2 2008 Analytical approximations of the period of a generalized nonlinear van der Pol oscillator. Zbl 1243.34019Andrianov, Igor V.; van Horssen, Wim T. 2 2006 Padé approximations and continualization for 1D mass chain. Zbl 1099.65019Andrianov, I. V. 1 2006 Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear. Zbl 1079.74601Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Guillet, Alain; Pareige, Philippe 4 2005 Edge-localized effects in buckling and vibrations of a shell with free in circumferential direction ends. Zbl 1066.74031Andrianov, I. V. 4 2004 Mechanics of periodically heteregeneous structures. Zbl 1006.74001Manevitch, L. I.; Andrianov, I. V.; Oshmyan, V. G. 11 2002 Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions. Zbl 1027.74055Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter 10 2002 Asymptotic approach for non-linear periodical vibrations of continuous structures. Zbl 1237.74044Andrianov, I. V.; Danishevs’kyy, V. V. 8 2002 Asymptotics of nonlinear dynamical systems with high degree of nonlinearity. Zbl 1031.37020Andrianov, I. V. 2 2002 The specific features of the limiting transition from a discrete elastic medium to a continuous one. Zbl 1066.34507Andrianov, I. V. 1 2002 Effective coefficients for real non-linear and fictitious linear temperature-dependent periodic composites. Zbl 1342.74021Tokarzewski, S.; Andrianov, I. 3 2001 Quasifractional approximants in the theory of composite materials. Zbl 0958.80001Andrianov, Igor; Danishevsky, Vladyslav; Tokarzewski, Stanisław 4 2000 Transitions from strongly to weakly nonlinear motions of damped nonlinear oscillators. Zbl 1013.70017Salenger, G.; Vakakis, A. F.; Gendelman, Oleg; Manevitch, Leonid; Andrianov, Igor 12 1999 Homogenization procedure and Padé approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section. Zbl 0953.74054Andrianov, I. V.; Starushenko, G. A.; Danishevs’kyy, V. V.; Tokarzewski, S. 5 1999 Asymptotic approaches in nonlinear dynamics. New trends and applications. Zbl 0910.70001Awrejcewicz, Jan; Andrianov, I. V.; Manevitch, L. I. 37 1998 Homogenization procedure and Padé approximations in the theory of composite materials with parallelepiped inclusions. Zbl 0918.73007Andrianov, I. V.; Starushenko, G. A.; Tokarzewski, S. 3 1998 Study of two-dimensional axisymmetric breathers using Padé approximants. Zbl 0883.35106Emaci, E.; Vakakis, A. F.; Andrianov, I. V.; Mikhlin, Yu. 10 1997 Two-point Padé approximants and their applications to in solving mechanical problems. Zbl 0953.74619Andrianov, Igor; Mikhlin, Yuri; Tokarzewski, Stanisław 1 1997 Bounds on the effective transport coefficients of two-phase media from discrete theoretical and experimental data. Zbl 0949.74056Tokarzewski, Stanisław; Gałka, Andrzej; Andrianov, Igor 1 1997 Two-point Padé approximants for formal Stieltjes series. Zbl 0814.41015Tokarzewski, Stanisław; Bławzdziewicz, Jerzy; Andrianov, I. V. 3 1994 Nonlinear free vibration of shallow cylindrical shell by Bolotin’s asymptotic method. Zbl 0958.74507Andrianov, I. V.; Kholod, E. G. 2 1993 Free vibration analysis of rectangular plates with structural inhomogeneity. Zbl 0925.73361Andrianov, I. V.; Krizhevsky, G. A. 1 1993 Laplace transform inverse problem application of two-point Padé approximant. Zbl 0757.65132Andrianov, Igor V. 1 1992 Continuum approximation for high-frequency oscillations of a chain and composite equations. Zbl 0756.70028Obraztsov, I. F.; Andrianov, I. V.; Nerubajlo, B. V. 2 1991 Asymptotic methods in the structural mechanics of thin-walled structures. (Asimptoticheskie metody v stroitel’noj mekhanike tonkostennykh konstruktsij.) Zbl 0914.73007Obraztsov, I. F.; Nerubajlo, B. V.; Andrianov, I. V. 2 1991 Construction of simplified equations of nonlinear dynamics of plates and shallow shells by the averaging method. Zbl 0616.73058Andrianov, I. V. 2 1986 Averaging method in statics and dynamics of ribbed shells (Metod usredneniya v statike i dinamike rebristykh obolochek). Zbl 0576.73054Andrianov, I. V.; Lesnichaya, V. A.; Manevich, L. I. 13 1985 On the theory of Berger plates. Zbl 0527.73035Andrianov, I. V. 2 1983 Approximate equations of axisymmetric vibrations of cylindrical shells. Zbl 0486.73058Andrianov, I. V.; Manevich, L. I. 3 1981 all cited Publications top 5 cited Publications all top 5 Cited by 244 Authors 25 Andrianov, Igor V. 18 Danishevskiĭ, Vladislav Valentinovich 14 Weichert, Dieter 7 Kalamkarov, Alexander L. 5 Awrejcewicz, Jan 5 Kaplunov, Julius D. 5 Pesetskaya, Ekaterina V. 5 Topol, Heiko 4 Gendelman, Oleg V. 4 Guzina, Bojan B. 4 Mityushev, Vladimir V. 4 Rogerson, Graham A. 4 Starushenko, Galina A. 3 Andrianov, Igor Vasil’evich 3 Bacigalupo, Andrea 3 Pinheiro de Castro, Luís Filipe 3 Chen, Liqun 3 Georgiades, A. V. 3 Nawalaniec, Wojciech 3 Oskay, Caglar 3 Pilipchuk, Valery N. 3 Pivovarov, Dmytro 3 Rodríguez-Ramos, Reinaldo 3 Steinmann, Paul 3 Tokarzewski, Stanisław 3 Tovstik, Petr Evgen’evich 3 Zhao, Jie 2 Biwa, Shiro 2 Bravo-Castillero, Julián 2 Cakoni, Fioralba 2 Erbaş, Bariş 2 Fafalis, Dimitrios 2 Feng, Jingjing 2 Filippov, Sergei B. 2 Fish, Jacob 2 Geers, Marc G. D. 2 Ghayesh, Mergen H. 2 Gholipour, Alireza 2 Giani, Stefano 2 Guinovart-Díaz, Raúl 2 Hadjiloizi, D. A. 2 Hakula, Harri 2 Hui, Tong 2 Ishii, Yosuke 2 Kapanadze, David 2 Kholod, Elena G. 2 Kouznetsova, Varvara G. 2 Manevich, Leonid Isaakovich 2 Manucharyan, Gayane V. 2 McIver, Philip 2 Mishuris, Gennady S. 2 Moskow, Shari 2 Nguyen, Trung-Kien 2 Panayotounakos, Dimitrios E. 2 Pham, Duc Chinh 2 Psaltis, Peter J. 2 Rylko, Natalia 2 Sevostianov, Igor 2 Smith, John D. 2 Sridhar, Ashwin 2 Tovstik, Tatiana P. 2 Wang, Juan 2 Wang, Wei 2 Zander, Anthony C. 2 Zhang, Qichang 1 Abrahams, I. David 1 Adachi, Tadaharu 1 Al-Jamal, Mohammad F. 1 Alomari, A. K. 1 Ammar, Amine 1 Anakira, N. Ratib 1 Andrianov, Igor I. 1 Ang, Whyeteong 1 Argatov, Ivan I. 1 Aydın, Yağmur Ece 1 Baranova, S. 1 Bataineh, A. Sami 1 Belyaev, Aleksandr Konstantinovich 1 Benveniste, Yakov 1 Berezovski, Arkadi 1 Berg, Lothar 1 Berger, Harald 1 Berjamin, Harold 1 Bin, Jonghoon 1 Bochkarev, Andrey V. 1 Bolshakov, Vladimir I. 1 Bonnet, Marc 1 Boyarskaya, M. L. 1 Brenner, Renald 1 Brito-Santana, Humberto 1 Bultheel, Adhemar François 1 Bunoiu, Renata 1 Carpenter, Harry J. 1 Cartraud, Patrice 1 Challagulla, K. S. 1 Chen, Ke 1 Chiavassa, Guillaume 1 Chinesta, Francisco 1 Colquitt, Daniel J. 1 Cornaggia, Rémi ...and 144 more Authors all top 5 Cited in 57 Serials 15 International Journal of Engineering Science 9 Acta Mechanica 8 European Journal of Mechanics. A. Solids 7 Computer Methods in Applied Mechanics and Engineering 7 Chaos, Solitons and Fractals 7 Nonlinear Dynamics 7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Wave Motion 5 Computational Mechanics 5 Mathematical Problems in Engineering 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Applied Mathematics and Mechanics 4 Journal of the Mechanics and Physics of Solids 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Computational and Applied Mathematics 4 Mathematics and Mechanics of Solids 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Prikladnaya Matematika i Mekhanika 3 Applied Mathematical Modelling 3 Archive of Applied Mechanics 3 International Applied Mechanics 2 Journal of Mathematical Physics 2 Vestnik St. Petersburg University. Mathematics 2 Engineering Analysis with Boundary Elements 2 Mathematical Modelling and Analysis 2 Archives of Computational Methods in Engineering 2 Complex Variables and Elliptic Equations 1 Archives of Mechanics 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Soviet Applied Mechanics 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Meccanica 1 Results in Mathematics 1 Journal of Symbolic Computation 1 Mathematical and Computer Modelling 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Continuum Mechanics and Thermodynamics 1 Journal of Mathematical Sciences (New York) 1 Nonlinear Analysis. Real World Applications 1 Waves in Random and Complex Media 1 Acta Mechanica Sinica 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Mathematics and Computer Science. JMCS 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 23 Fields 120 Mechanics of deformable solids (74-XX) 29 Partial differential equations (35-XX) 15 Ordinary differential equations (34-XX) 14 Numerical analysis (65-XX) 9 Mechanics of particles and systems (70-XX) 7 Functions of a complex variable (30-XX) 7 Fluid mechanics (76-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Special functions (33-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year