Linear And Nonlinear System Modeling Eds T Roy

MEMS Linear and Nonlinear Statics and Dynamics presents the necessary analytical and computational tools for MEMS designers to model and simulate most known MEMS devices, structures, and phenomena. This book also provides an in-depth analysis and treatment of the most common static and dynamic phenomena in MEMS that are encountered by engineers. Coverage also includes nonlinear modeling approaches to modeling various MEMS phenomena of a nonlinear nature, such as those due to electrostatic forces, squeeze-film damping, and large deflection of structures.

​This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization.

This book presents recent research in the field of piezoelectric vibration energy harvesting in which intentionally designed nonlinearities as well as inherently present are widely considered. It provides an overview of the state-of-the-art, with a sharp classification into linear and nonlinear devices, and recalls the fundamentals of piezoelectricity and magnetostatics. A detailed treatment of linear and nonlinear mathematical modeling of piezoelectric harvesters is then developed to provide the reader with a wide range of modeling possibilities. Theoretical, computational, and experimental approaches to modeling the magnetic interaction are also provided. Several cases of innovative piezoelectric harvester designs based on magnetic interaction as a frequency up-conversion mechanism (FuC) are developed. Improvements of the magnetic FuC are proposed, in combination with indirect impacts as well as the manipulation of magnetic forces with novelty methods. Novel studies on the magnetic interaction itself and its implications for the dynamic behavior of the harvester are also summarized. The book provides an integrated view of theoretical, computational, and experimental research in this field, as such it can be useful for researchers interested in linear and nonlinear piezoelectric energy harvesting, for graduate courses on smart structures and devices, microsystems, and for designers.

by Santanu Saha Ray (Author), Prakash Kumar Sahu (Author)
This book deals with the numerical solution of integral equations based on approximation of functions and the authors apply wavelet approximation to the unknown function of integral equations. The book's goal is to categorize the selected methods and assess their accuracy and efficiency

Linear and Nonlinear Buckling Method