高等工程力学(汉英双语版)

第1章压杆稳定(1)1.1压杆稳定的基本概念及工程实例(1)1.2两端铰支细长压杆的临界压力(2)1.3其他约束条件下细长压杆的临界压力(4)1.4非细长杆的临界应力(6)1.5临界应力总图(8)1.6提高压杆稳定性的措施(8)习题(14)第2章碰撞(19)2.1求解碰撞问题的基本定理(19)2.2中心碰撞(23)2.3斜碰撞(26)习题(31)第3章动载荷(34)3.1概述(34)3.2直线运动构件的动应力(34)3.3旋转构件的动应力(36)3.4构件的冲击载荷与冲击应力(38)3.5冲击韧性(43)习题(45)第4章交变应力(48)4.1交变应力与疲劳失效(48)4.2交变应力的概念(50)4.3持久极限(51)4.4持久极限的影响因素(53)4.5对称循环疲劳强度计算(58)习题(62)第5章虚位移原理(64)5.1虚位移与虚功的概念(64)5.2刚体系统的虚位移原理(68)5.3虚位移与虚速度的应用(68)习题(73)第6章拉格朗日方程(76)6.1动力学普遍方程(76)6.2第二类拉格朗日方程(80)6.3拉格朗日方程的首次积分(90)*6.4**类拉格朗日方程(94)习题(97)第7章能量法(100)7.1概述(100)7.2杆件变形能的计算(100)7.3变形能的普遍表达式(102)7.4互等定理(107)7.5卡氏定理(109)7.6虚功原理(114)7.7单位载荷法——莫尔定理(116)7.8图乘法(118)习题(121)第8章静不定结构(124)8.1静不定结构概述(124)8.2力法求解静不定结构(125)8.3对称性的应用(131)习题(134)Chapter 1Buckling of Columns(137)1.1Basic Concepts and Engineering Examples of Buckling of Columns(137)1.2The Critical Pressure of a Slender Compression Rod with Hinged Supports at both Ends(139)1.3The Critical Pressure of a Slender Compression Rod under other Constraint Conditions(141)1.4Critical Stress for Nonslender Rods(144)1.5Critical Stress Diagram(146)1.6Measures to Improve the Stability of the Compression Rod(147)Exercises(154)Chapter 2Collision(160)2.1The Fundamental Theorems for Solving Collision Problems(160)2.2Central Collision(166)2.3Oblique Collision(170)Exercises(175)Chapter 3Dynamic Load(178)3.1Overview(178)3.2Dynamic Stress of linear Motion Components(179)3.3Dynamic Stress of the Rotating Member(181)3.4The Impact Load and Impact Strese in Members(183)3.5Impact Toughness(189)Exercises(192)Chapter 4Alternating Stress(196)4.1Alternating Stress and Fatigue Failure(196)4.2Conception of Alternating Stress(198)4.3Endurance Limit(200)4.4The Effective Factors of Endurance Limit(203)4.5The Calculation of Fatigue Strength under Symmetry Cycle(208)Exercises(214)Chapter 5Principle of Virtual Displacement(216)5.1Concepts of Virtual Displacement and Virtual Work(216)5.2Principle of Virtual Displacement for Rigid Body Systems(222)5.3Applications of Virtual Displacements and Virtual Velocities(223)Exercises(229)Chapter 6Lagrange Equation(232)6.1General Equation of Dynamics(232)6.2Lagrange Equation of the Second Kind(237)6.3The First Integral of Lagrange Equation(249)*6.4Lagrange Equation of the First Kind(253)Exercises(256)Chapter 7Energy Methods(261)7.1Overview(261)7.2Calculation of Deformation Energy of a Member(262)7.3General Formula of Deformation Energy(265)7.4Reciprocal Theorems(271)7.5Castigliano’s Theorem(273)7.6Principle of Virtual Work(279)7.7Unit Load Method—Mohr’s Theorem(283)7.8Diagram Multiplication Method(286)Exercises(289)Chapter 8Statically Indeterminate Structure(292)8.1Overview of Statically Indeterminate Structure(292)8.2Solving Statically Indeterminate Structure by Force Method(293)8.3Application of Symmetry(301)Exercises(305)主要参考文献(308)