封面
英文摘要
声明
答辩决议书
中文摘要
目录
Chapter 1 Introduction
1.1 Background
1.2 Objectives
1.3 Overview
Chapter 2 Literature review
2.1 Classical material viscoelasticity
2.2 Three-dimensional beam theory
2.3 Viscoelastic beam formulation
Chapter 3 Linear material viscoelasticity
3.1 One-dimensional Classical linear viscoelasticity
3.2 Three-dimensional generalized Maxwell model
3.3 Analysis of relaxation function
3.4 Simple viscoelastic elements
3.5 Viscoelastic branch properties definitions
Chapter 4 Novel nonlinearly inelastic model
4.1 Introduction to the novel non-linear inelastic model
4.2 The elastic branch
4.3 The dashpot branch
4.4 The plastic branch
4.5 The viscoelastic branch
4.6 Numerical examples and results of the novel model
4.7 Conclusion
Chapter 5 Three-dimensional beam theory
5.1 Kinematics of the problem
5.2 Strain components
5.3 Semi-discretization of the displacement field
5.4 The central solution
Chapter 6 Formulations of Visco elastic Beams
6.1 Viscoelastic beam theory
6.2 Computational method of the viscoelastic beam formulation
Chapter 7 Numerical Examples of Viscoelastic Beams in Flexible Multibody Dynamics
7.1 Composite layer beam
7.2 Poisson locking analysis
7.3 Rotating beam problem
Chapter 8 Conclusion
8.1 Summary
8.2 Future work
Appendix A
A.1 Relationship between hereditary integrals and ordinary differential equations
参考文献
