Synopses & Reviews
Synopsis
Nano-Structural Members in Various Fields, Literature Review.- Size-Dependent Theories of Beams, Plates and Shells.- Lyapunov Exponents and Methods of Their Analysis.- Reliability of Chaotic Vibrations of Euler-Bernoulli Beams withClearance.- Analysis of Simple Nonlinear Dynamical Systems.- Mathematical Models of Micro- and Nano-Cylindrical Panels inTemperature Field.- Mathematical Models of Functionally Graded Beams in Temperature Field.- Thermoelastic Vibrations of Timoshenko Microbeams (Modified Couple Stress Theory).- Vibrations of Size-Dependent Beams Under Topologic Optimization and Temperature Field.
Synopsis
This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics. It presents a collection of the latest developments in the field of nonlinear (chaotic) dynamics of mass distributed-parameter nanomechanical structures, providing a rigorous and comprehensive study of modeling nonlinear phenomena. It is written in a unique pedagogical style particularly suitable for independent study and self-education. In addition, the book achieves a good balance between Western and Eastern extensive studies of the mathematical problems of nonlinear vibrations of structural members.