This book focuses on the latest applications of nonlinear approaches in different disciplines of engineering and to a range of scientific problems. For each selected topic, detailed concept development, derivations and relevant knowledge are provided for the convenience of the readers. The topics range from dynamic systems and control to optimal approaches in nonlinear dynamics. The volume further includes invited chapters from world class experts in the field. The selected topics are of great interest in the fields of engineering and physics and this book is ideal for engineers and researchers working in a broad range of practical topics and approaches.
Nonlinear Approaches in Engineering Applications: Applied Mechanics, Vibration Control, and Numerical Analysis
Part I Analytical Nonlinearity.- The Analysis and Control of the Nonlinear Vibrations of an Axially-Translating String.- Vehicle Dynamics Between Two Steady-States by Variable Steering.- Nonlinear Approaches in Engineering Applications.- an Approach to Optimal Stable Control of Nonlinear Dynamical Systems.- A Novel Cubically Convergent Iterative Method for Computing Complex Roots of Nonlinear Equations.- Analysis of Periodicities in Planetary Motions.- Dynamic Contact and Scratch Analysis at the Micro/Nanoscale.- Part II Practical Nonlinearity.- The Loss Tangent of Linear and Non-Linear Visco-Elastic Models.- Nonlinear Optimal Control with Receding Horizon - A Case Study of a Wheeled Robot Climbing an Oscillating Pole.- Statistical Methods for the Analysis Of Oscillatory Climate Time Series.- Nonlinear Approaches in Medical Image Registration.- Non-Linear Dynamics and Control of Cooperative Super-Flexible Robotic Arm Manipulators & Catapults.- FE Post Buckling Analysis of a Large Diameter Thin-Walled Tube.- Nonlinear Structural Dynamics of the Vehicle Seat Coupled with Human Body.- Modeling of the Human Discomfort and Fatigue in Response to Vibration.