作者：罗朝俊//俞波
页数：208
出版社：高等教育出版社
出版日期：2018
ISBN：9787040484588
电子书格式：pdf/epub/txt
内容简介
本书通过两自由度非线性振子、并基于有限傅里叶级数的解析方法，首次给出了流体诱导绳索驰振的解析解。此有限傅里叶级数法提供了非线性系统从时域到频域的非线性变换，从而应用频幅特征来确定非线性系统的动力学行为。根据其解析解，展示驰振绳索的周期运动到混沌的解析分岔道路。本书提供了解决工程中流体诱导振动的解决方法，帮助人们更好地理解例如飞机、桥梁、高层建筑、换热器管道、高压电缆线中的流体诱导振动。
目录
1 Introduction
1.1 Analytical Methods
1.1.1 Traditional Methods
1.1.2 Generalized Harmonic Balance
1.2 Galloping Phenomena
1.2.1 A Brief History cf Galloping Modeling
1.2.2 Mathematical Modeling
1.2.3 Aerodynamic Force and Moment
1.3 Book Layout
References
2 Nonlinear Dynamical Systems
2.1 Continuous Systems
2.2 Equilibriums and Stability
2.3 Bifurcation and Stability Switching
2.3.1 Stability and Switching
2.3.2 Bifurcations
References
3 Analytical Methods
3.1 Periodic Motions
3.2 Quasiperiodic Motions
References
4 A Quadratic Nonlinear Oscillator
4.1 Analytical Period-m Motions
4.2 Analytical Bifurcation Trees
4.3 Numerical Illustrations
References
5 Two-Degree-of-Freedom Nonlinear Oscillators
5.1 Analytical Solution Formulation
5.2 Frequency-Amplitude Characteristics
5.3 Numerical Simulations
References
6 Linear Cable Galloping
6.1 Analytical Period-1 Motions
6.2 Frequency-Amplitude Characteristics
6.3 Numerical Simulations and Comparisons
References
7 Nonlinear Cable Galloping
7.1 Analytical Period-m Motions
7.2 Analytical Bifurcation Trees
7.3 Numerical Illustrations
References
Appendix A: Coefficients for Cable Galloping
Index
1.1 Analytical Methods
1.1.1 Traditional Methods
1.1.2 Generalized Harmonic Balance
1.2 Galloping Phenomena
1.2.1 A Brief History cf Galloping Modeling
1.2.2 Mathematical Modeling
1.2.3 Aerodynamic Force and Moment
1.3 Book Layout
References
2 Nonlinear Dynamical Systems
2.1 Continuous Systems
2.2 Equilibriums and Stability
2.3 Bifurcation and Stability Switching
2.3.1 Stability and Switching
2.3.2 Bifurcations
References
3 Analytical Methods
3.1 Periodic Motions
3.2 Quasiperiodic Motions
References
4 A Quadratic Nonlinear Oscillator
4.1 Analytical Period-m Motions
4.2 Analytical Bifurcation Trees
4.3 Numerical Illustrations
References
5 Two-Degree-of-Freedom Nonlinear Oscillators
5.1 Analytical Solution Formulation
5.2 Frequency-Amplitude Characteristics
5.3 Numerical Simulations
References
6 Linear Cable Galloping
6.1 Analytical Period-1 Motions
6.2 Frequency-Amplitude Characteristics
6.3 Numerical Simulations and Comparisons
References
7 Nonlinear Cable Galloping
7.1 Analytical Period-m Motions
7.2 Analytical Bifurcation Trees
7.3 Numerical Illustrations
References
Appendix A: Coefficients for Cable Galloping
Index
