Structural Optimization for Nonlinear Dynamics: Towards the Optimization of Dynamic Nonlinearities in MEMS Devices (SpringerBriefs in Applied Sciences and Technology)

This book presents a rigorous yet practical framework for analyzing and optimizing the nonlinear dynamic behavior of mechanical systems, with applications spanning microelectromechanical systems (MEMS), robotics, and advanced structural components.Centered on Spectral Submanifold (SSM) theory, it shows how modern optimization techniques can be integrated to design systems that operate reliably under complex nonlinear dynamic conditions.The book begins by introducing the fundamentals of SSM theory and its role in modeling and understanding nonlinear vibrations.It then reviews key structural and topology optimization methods, such as density-based formulations and size optimization, highlighting their relevance for engineering design.Building on this foundation, the authors develop an SSM-based optimization framework for tailoring the nonlinear dynamic response of mechanical systems.Dedicated chapters address adjoint-based sensitivity analysis for frequency response and backbone curves,