第1章 压杆稳定
1.1 压杆稳定的基本概念及工程实例
1.2 两端铰支细长压杆的临界压力
1.3 其他约束条件下细长压杆的临界压力
1.4 非细长杆的临界应力
1.5 临界应力总图
1.6 提高压杆稳定性的措施
习题
第2章 碰撞
2.1 求解碰撞问题的基本定理
2.2 中心碰撞
2.3 斜碰撞
习题
第3章 动载荷
3.1 概述
3.2 直线运动构件的动应力
3.3 旋转构件的动应力
3.4 构件的冲击载荷与冲击应力
3.5 冲击韧性
习题
第4章 交变应力
4.1 交变应力与疲劳失效
4.2 交变应力的概念
4.3 持久极限
4.4 持久极限的影响因素
4.5 对称循环疲劳强度计算
习题
第5章 虚位移原理
5.1 虚位移与虚功的概念
5.2 刚体系统的虚位移原理
5.3 虚位移与虚速度的应用
习题
第6章 拉格朗日方程
6.1 动力学普遍方程
6.2 第二类拉格朗日方程
6.3 拉格朗日方程的首次积分
6.4 第一类拉格朗日方程
习题
第7章 能量法
7.1 概述
7.2 杆件变形能的计算
7.3 变形能的普遍表达式
7.4 互等定理
7.5 卡氏定理
7.6 虚功原理
7.7 单位载荷法——莫尔定理
7.8 图乘法
习题
第8章 静不定结构
8.1 静不定结构概述
8.2 力法求解静不定结构
8.3 对称性的应用
习题
Chapter 1Buckling of Columns
1.1 Basic Concepts and Engineering Examples of Buckling of
Columns
1.2 The Critical Pressure of a Slender Compression Rod with
Hinged Supports at both Ends
1.3 The Critical Pressure of a Slender Compression Rod under
other Constraint Conditions
1.4 Critical Stress for Nonslender Rods
1.5 Critical Stress Diagram
1.6 Measures to Improve the Stability of the Compression Rod
Exercises
Chapter 2Collision
2.1 The Fundamental Theorems for Solving Collision Problems
2.2 Central Collision
2.3 Oblique Collision
Exercises
Chapter 3Dynamic Load
3.1 Overview
3.2 Dynamic Stress of linear Motion Components
3.3 Dynamic Stress of the Rotating Member
3.4 The Impact Load and Impact Strese in Members
3.5 Impact Toughness
Exercises
Chapter 4Alternating Stress
4.1 Alternating Stress and Fatigue Failure
4.2 Conception of Alternating Stress
4.3 Endurance Limit
4.4 The Effective Factors of Endurance Limit
4.5 The Calculation of Fatigue Strength under Symmetry Cycle
Exercises
Chapter 5Principle of Virtual Displacement
5.1 Concepts of Virtual Displacement and Virtual Work
5.2 Principle of Virtual Displacement for Rigid Body Systems
5.3 Applications of Virtual Displacements and Virtual Velocities
Exercises
Chapter 6Lagrange Equation
6.1 General Equation of Dynamics
6.2 Lagrange Equation of the Second Kind
6.3 The First Integral of Lagrange Equation
6.4 Lagrange Equation of the First Kind
Exercises
Chapter 7Energy Methods
7.1 Overview
7.2 Calculation of Deformation Energy of a Member
7.3 General Formula of Deformation Energy
7.4 Reciprocal Theorems
7.5 Castigliano’s Theorem
7.6 Principle of Virtual Work
7.7 Unit Load Method—Mohr’s Theorem
7.8 Diagram Multiplication Method
Exercises
Chapter 8Statically Indeterminate Structure
8.1 Overview of Statically Indeterminate Structure
8.2 Solving Statically Indeterminate Structure by Force Method
8.3 Application of Symmetry
Exercises
主要参考文献
