About this book
Introduction
This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.
Keywords
Kirchhoff-Love model Faedo-Galerkin method thermoelastic shells evolutionary equations theory of design Timoshenko hypothesis Sheremetev-Pelekh-Reddy-Levinson third approximation model Grigolyuk-Kulikov model chaotic vibrations
Authors and affiliations
- Vadim A. Krysko
- Jan Awrejcewicz
- Maxim V. Zhigalov
- Valeriy F. Kirichenko
- Anton V. Krysko
- 1.Department of Mathematics and ModelingSaratov State Technical UniversitySaratovRussia
- 2.Department of Automation, Biomechanics and MechatronicsLodz University of TechnologyLodzPoland
- 3.Department of Mathematics and ModelingSaratov State Technical UniversitySaratovRussia
- 4.Department of Mathematics and ModelingSaratov State Technical UniversitySaratovRussia
- 5.Department of Applied Mathematics and Systems AnalysisSaratov State Technical UniversitySaratovRussia
Bibliographic information