Vibration Mechanics

Author: Liu Yanzhu
Publisher:
Publish Date: 2003-04-01
Features: This book is a research outcome of the "Reform Plan for Teaching Content and Curriculum System in Higher Education Towards the 21st Century" by the Ministry of Education. It is a textbook for the 21st century curriculum and the "Nineth Five-Year Plan" textbook for engineering mechanics by the Ministry of Education in industry, as well as a key textbook for the "Nineth Five-Year Plan" in general higher education by the Ministry of Education. The book systematically discusses the theoretical foundations and analytical methods of mechanical vibration. As a feature of the book, the author strives to integrate linear and nonlinear vibrations into a unified system. From the perspective of teaching, presenting both in a unified manner can improve efficiency and deepen understanding. To help students grasp some new ideas in modern nonlinear dynamics, the book introduces the concepts of bifurcation and chaos in a relatively accessible way. The book provides practical examples for various types of vibrations to illustrate the engineering context of vibration dynamics. The introduction outlines the general overview and history of vibration dynamics. Chapters 1, 2, and 3 discuss free, forced, and self-excited vibrations of single-degree-of-freedom systems, respectively, where nonlinear problems are addressed using intuitive phase-plane geometric methods and simple harmonic balance analysis. Chapters 4, 5, and 6 cover exact and approximate solutions for multi-degree-of-freedom and continuous systems, primarily focusing on nonlinear vibrations but also involving nonlinear vibrations. Chapters 7 and 8 present the geometric theory and approximate analytical methods for nonlinear systems. Chapters 9 and 10 cover parametrically excited vibrations and random vibrations. Chapter 11 serves as an introduction to chaotic vibrations. Each chapter is accompanied by exercises and answers. This book can be used as a textbook for engineering mechanics, mechanical engineering, aerospace engineering, and civil engineering, among other disciplines. The first six chapters form the foundational part, suitable for undergraduates, while the last five chapters are intended for advanced graduate courses. It can also serve as a reference for engineers working in the field of mechanical vibration. The book was first printed in October 1998, and adjustments were made to some exercises in the second printing.