Edit Profile (opens in new tab) Andrianov, Igor V. Compute Distance To: Compute Author ID: andrianov.igor-v Published as: Andrianov, I. V.; Andrianov, Igor V.; Adrianov, Igor V.; Andrianov, Igor; Adrianov, Igor; Andrianov, I. more...less Documents Indexed: 60 Publications since 1981, including 6 Books 2 Contributions as Editor Reviewing Activity: 355 Reviews Co-Authors: 17 Co-Authors with 16 Joint Publications 285 Co-Co-Authors all top 5 Co-Authors 19 single-authored 8 Manevich, Leonid Isaakovich 5 Mikhlin, Yuri Vladimirovich 4 Gendelman, Oleg V. 4 Pasechnik, A. N. 4 Shevchenko, V. V. 3 Bulanova, N. S. 3 Kaplunov, Julius D. 3 Pilipchuk, Valery N. 2 Awrejcewicz, Jan 2 Krizhevsky, G. A. 2 Markert, Bernd 2 Nerubajlo, B. V. 2 Obraztsov, Ivan Filippovich 2 Olevs’ka, Yuliia Borysivna 2 Olevskyi, Viktor I. 2 Sedin, V. L. 2 Vakakis, Alexander F. 1 Abramian, Andrei K. 1 Astashev, Vladimir K. 1 Ausheva, Nataliia M. 1 Babitsky, Vladimir I. 1 Bochkarev, Andreĭ Vladimirovich 1 Emaci, Edward 1 Gaiko, Valery A. 1 Hazewinkel, Michiel 1 Koblik, S. G. 1 Konashenko, S. I. 1 Kovaleva, Margarita Alekseevna 1 Kudaibergenov, A. K. 1 Lesnichaya, V. A. 1 Linnik, R. Ya. 1 Manevich, Arkadiy I. 1 Markert, Berndt 1 Mityushev, Vladimir V. 1 Mogilevich, Lev I. 1 Oshmyan, Victor G. 1 Piskunov, V. I. 1 Porubov, Alexey V. 1 Sedin, W. 1 Smirnov, Valeri V. 1 Starosvetsky, Yuli 1 Tokarzewski, Stanisław 1 van Horssen, Wilhem Teunis all top 5 Serials 6 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 4 Nonlinear Dynamics 3 Journal of Applied Mathematics and Mechanics 3 Physics-Doklady 2 Journal of Sound and Vibration 2 Wave Motion 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Prikladnaya Matematika i Mekhanika 2 Soviet Physics. Doklady 2 Dopovidi Akademiï Nauk Ukraïni 2 Mathematics and Mechanics of Solids 2 Advanced Structured Materials 1 Acta Mechanica 1 Mechanika Teoretyczna i Stosowana 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Soviet Applied Mechanics 1 Journal of Soviet Mathematics 1 Applied Mathematics Letters 1 Journal of Natural Geometry 1 Prikladnaya Mekhanika 1 Facta Universitatis. Series Mechanics, Automatic Control and Robotics 1 Vychislitel’naya i Prikladnaya Matematika 1 International Applied Mechanics 1 Doklady Mathematics 1 Matematicheskoe Modelirovanie 1 Journal of Applied Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Springer Series in Synergetics 1 Proceedings of the Estonian Academy of Sciences 1 Nelineĭnaya Dinamika 1 Foundations of Engineering Mechanics 1 Russian Journal of Nonlinear Dynamics all top 5 Fields 40 Mechanics of deformable solids (74-XX) 9 Partial differential equations (35-XX) 8 Ordinary differential equations (34-XX) 8 Mechanics of particles and systems (70-XX) 6 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Approximations and expansions (41-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 2 Integral transforms, operational calculus (44-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 51 times in 48 Documents Cited by ▼ Year ▼ Asymptotic approaches in nonlinear dynamics. New trends and applications. Zbl 0910.70001Awrejcewicz, Jan; Andrianov, I. V.; Manevitch, L. I. 38 1998 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 Study of two-dimensional axisymmetric breathers using Padé approximants. Zbl 0883.35106Emaci, E.; Vakakis, A. F.; Andrianov, I. V.; Mikhlin, Yu. 10 1997 Nonlinear waves in diatomic crystals. Zbl 1454.74095Porubov, A. V.; Andrianov, I. V. 6 2013 Edge-localized effects in buckling and vibrations of a shell with free in circumferential direction ends. Zbl 1066.74031Andrianov, I. V. 4 2004 On the theory of Berger plates. Zbl 0527.73035Andrianov, I. V. 3 1983 Approximate equations of axisymmetric vibrations of cylindrical shells. Zbl 0486.73058Andrianov, I. V.; Manevich, L. I. 3 1981 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 Construction of simplified equations of nonlinear dynamics of plates and shallow shells by the averaging method. Zbl 0616.73058Andrianov, I. V. 2 1986 Analytical approximations of the period of a generalized nonlinear van der Pol oscillator. Zbl 1243.34019Andrianov, Igor V.; van Horssen, Wim T. 2 2006 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. (Асимптотические методы в строительной механике тонкостенных конструкций.) Zbl 0914.73007Obraztsov, I. F.; Nerubaĭlo, B. V.; Andrianov, I. V. 2 1991 Asymptotics of nonlinear dynamical systems with high degree of nonlinearity. Zbl 1031.37020Andrianov, I. V. 2 2002 Free vibration analysis of rectangular plates with structural inhomogeneity. Zbl 0925.73361Andrianov, I. V.; Krizhevsky, G. A. 1 1993 Method of composite equations in the theory of cylindrical shells. Zbl 0613.73059Andrianov, I. V.; Pasechnik, A. N. 1 1986 Exact and “exact” formulae in the theory of composites. Zbl 1405.74008Andrianov, Igor; Mityushev, Vladimir 1 2018 Two-point Padé approximants and their applications to in solving mechanical problems. Zbl 0953.74619Andrianov, Igor; Mikhlin, Yuri; Tokarzewski, Stanisław 1 1997 Padé approximations and continualization for 1D mass chain. Zbl 1099.65019Andrianov, I. V. 1 2006 The specific features of the limiting transition from a discrete elastic medium to a continuous one. Zbl 1066.34507Andrianov, I. V. 1 2002 Equations of higher-order approximations for investigation of the stressed-deformed state of cylindrical shells. Zbl 0737.73057Andrianov, I. V.; Pasechnik, A. N. 1 1990 Laplace transform inverse problem application of two-point Padé approximant. Zbl 0757.65132Andrianov, Igor V. 1 1992 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 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 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 Nonlinear waves in diatomic crystals. Zbl 1454.74095Porubov, A. V.; Andrianov, I. V. 6 2013 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 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 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 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 Asymptotic approaches in nonlinear dynamics. New trends and applications. Zbl 0910.70001Awrejcewicz, Jan; Andrianov, I. V.; Manevitch, L. I. 38 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 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. (Асимптотические методы в строительной механике тонкостенных конструкций.) Zbl 0914.73007Obraztsov, I. F.; Nerubaĭlo, B. V.; Andrianov, I. V. 2 1991 Equations of higher-order approximations for investigation of the stressed-deformed state of cylindrical shells. Zbl 0737.73057Andrianov, I. V.; Pasechnik, A. N. 1 1990 Construction of simplified equations of nonlinear dynamics of plates and shallow shells by the averaging method. Zbl 0616.73058Andrianov, I. V. 2 1986 Method of composite equations in the theory of cylindrical shells. Zbl 0613.73059Andrianov, I. V.; Pasechnik, A. N. 1 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. 3 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 73 Authors 8 Andrianov, Igor Vasil’evich 4 Gendelman, Oleg V. 4 Kalamkarov, Alexander L. 3 Awrejcewicz, Jan 3 Danishevskiĭ, Vladislav Valentinovich 3 Georgiades, A. V. 3 Kaplunov, Julius D. 3 Pilipchuk, Valery N. 3 Weichert, Dieter 3 Zhao, Jie 2 Erbaş, Bariş 2 Feng, Jingjing 2 Filippov, Sergei B. 2 Hadjiloizi, D. A. 2 Manevich, Leonid Isaakovich 2 Manucharyan, Gayane V. 2 Mikhlin, Yu. V. 2 Panayotounakos, Dimitrios E. 2 Wang, Juan 2 Wang, Wei 2 Zhang, Qichang 1 Al-Jamal, Mohammad F. 1 Alomari, Abedel-Karrem 1 Anakira, N. Ratib 1 Andrianov, Igor V. 1 Aydın, Yağmur Ece 1 Bataineh, Ahmad Sami 1 Boyarskaya, M. L. 1 Challagulla, K. S. 1 Ege, Nihal 1 Guillet, Alain 1 Han, Fenglei 1 Hao, Shuying 1 Hossain, Md. Mossaraf 1 Hu, Ankang 1 Jameel, Ali Fareed 1 Jézéquel, Louis 1 Jin, Yinlai 1 Jothi, S. Nithyanantha 1 Kaczyński, Andrzej 1 Kholod, Elena G. 1 Konashenko, S. I. 1 Kravvaritis, Dimitrios C. 1 Kudaibergenov, A. K. 1 Kudryavtsev, Boris A. 1 Li, Feng 1 Li, Zhenbo 1 Liu, Yachong 1 Lu, Yu 1 Lugovoj, P. Z. 1 Matysiak, Stanisław Jan 1 Nawalaniec, Wojciech 1 Paimushin, Vitaliy Nikolaevich 1 Pareige, Philippe 1 Parton, Vladimir Z. 1 Pasechnik, A. N. 1 Pasichnik, Irina V. 1 Piskunov, V. I. 1 Prikazchikova, Ludmila 1 Roy, Kamalesh Chandra 1 Saifur Rahman, M. 1 Sedin, V. L. 1 Selyanskij, V. K. 1 Shamsul Alam, Mohammad 1 Sinou, Jean-Jacques 1 Sotiropoulos, Nikolaos V. 1 Syam, Muhammed I. 1 Tang, Jiashi 1 Thouverex, F. 1 Vakakis, Alexander F. 1 Xie, Dandan 1 Zarubinskaya, M. A. 1 Zhang, Nana all top 5 Cited in 23 Serials 6 Chaos, Solitons and Fractals 5 Mathematical Problems in Engineering 5 European Journal of Mechanics. A. Solids 4 Journal of Applied Mathematics and Mechanics 3 Prikladnaya Matematika i Mekhanika 3 Nonlinear Dynamics 2 Journal of Mathematical Physics 2 Vestnik St. Petersburg University. Mathematics 2 International Applied Mechanics 2 Mathematics and Mechanics of Solids 1 International Journal of Engineering Science 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Journal of the Franklin Institute 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Soviet Applied Mechanics 1 Applied Mathematics and Computation 1 Journal of Symbolic Computation 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Nonlinear Analysis. Real World Applications 1 Archives of Computational Methods in Engineering 1 Journal of Mathematics and Computer Science. JMCS 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 9 Fields 29 Mechanics of deformable solids (74-XX) 12 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 5 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year