Nonlinear Dynamics of Discrete and Continuous Systems

✍ Scribed by Andrei K. Abramian, Igor V. Andrianov, Valery A. Gaiko

• Publisher: Springer International Publishing;Springer
• Year: 2021
• Tongue: English
• Leaves: 284
• Series: Advanced Structured Materials 139
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book commemorates the 60th birthday of Dr. Wim van Horssen, a specialist in nonlinear dynamic and wave processes in solids, fluids and structures. In honor of Dr. Horssen’s contributions to the field, it presents papers discussing topics such as the current problems of the theory of nonlinear dynamic processes in continua and structures; applications, including discrete and continuous dynamic models of structures and media; and problems of asymptotic approaches.

✦ Table of Contents

Front Matter ....Pages i-xvii
Localized Waves in a Damaged Film Foundation Subjected to Periodic Impacts (Andrei K. Abramian, Sergei A. Vakulenko)....Pages 1-13
Mathematical Models in Pure and Applied Mathematics (Igor V. Andrianov)....Pages 15-29
Expanding the Applicability of the Competitive Modes Conjecture (Sudipto Choudhury, Huibert Reijm, Cornelis Vuik)....Pages 31-43
The Construction of Stabilizing Regulators Sets for Nonlinear Control Systems with the Help of Padé Approximations (Yulia Danik, Mikhail Dmitriev)....Pages 45-62
Galerkin’s Method was not Developed by Ritz, Contrary to the Timoshenko’s Statement (I. Elishakoff, J. Kaplunov, E. Kaplunov)....Pages 63-82
Global Bifurcation Analysis of Polynomial Dynamical Systems (Valery A. Gaiko)....Pages 83-101
Topological Shooting of Solutions for Fickian Diffusion into Core-Shell Geometry (T. G. de Jong, A. E. Sterk)....Pages 103-116
The Dynamic Interactions and Control of Long Slender Continua and Discrete Inertial Components in Vertical Transportation Systems (Stefan Kaczmarczyk)....Pages 117-128
Free Generalized van der Pol Oscillators: Overview of the Properties of Oscillatory Responses (Ivana Kovacic)....Pages 129-144
Theoretical Determination of the Five Physical Constants of the Toupin-Mindlin Gradient Elasticity for Polycrystalline Materials (Victor I. Malyi)....Pages 145-154
A Parametrically Excited Nonlinear Wave Equation (Ferdinand Verhulst, Johan M. Tuwankotta)....Pages 155-169
Chaotic Dynamic of a Symmetric Tree-Shaped Wave Network (Fei Wang, Jun-Min Wang)....Pages 171-189
A New Spatial and Temporal Incremental Harmonic Balance Method for Obtaining Steady-State Responses of a One-Dimensional Continuous System (Xuefeng Wang, Weidong Zhu)....Pages 191-215
The Stability of Non-linear Power Systems (Kaihua Xi, Johan L. A. Dubbeldam, Feng Gao, Hai Xiang Lin, Jan H. van Schuppen)....Pages 217-238
Geometric Series Method and Exact Solutions of Differential-Difference Equations (Aleksandr I. Zemlyanukhin, Andrey V. Bochkarev, Anna A. Orlova, Aleksandr V. Ratushny)....Pages 239-253
Harmonic Balance Method for the Stationary Response of Finite and Semi-infinite Nonlinear Dissipative Continua: Three Canonical Problems (Jiangyi Zhang, Enxhi Sulollari, Andrei B. Fărăgău, Federico Pisanò, Pim van der Male, Mario Martinelli et al.)....Pages 255-274
Back Matter ....Pages 275-276

✦ Subjects

Engineering; Engineering Thermodynamics, Heat and Mass Transfer; Vibration, Dynamical Systems, Control; Engineering Fluid Dynamics