混凝土矩形薄板的热弹性力学问题
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广东广州
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作者Xuansheng Cheng 著
出版社科学出版社
ISBN9787030526472
出版时间2017-10
装帧平装
开本其他
定价98元
货号1201550367
上书时间2024-09-03
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目录
1 Introduction 1
1.1 The Basic Status of Rectangular Thin Plate Thermal Problems 2
1.1.1 Thermal Bending of Rectangular Thin Plate 2
1.1.2 Thermal Buckling of Rectangular Thin Plate 3
1.1.3 Thermal Vibration of Rectangular Thin Plate 4
1.2 The Necessity of Concrete Rectangular Thin Plate 4
1.3 The Main Contents of the Book 6
1.3.1 Thermal Bending of Concrete Rectangular Thin Plate 6
1.3.2 Thermal Buckling of Concrete Rectangular Thin Plate 7
1.3.3 Thermal Vibration of Concrete Rectangular Thin Plate 8
2 Thermal Bending of Concrete Rectangular Thin Plate with Four Supported Edges 9
2.1 Introduction 9
2.2 The Basic Equation for the Thermal Elastic Problem of Rectangular Thin Plate 12
2.2.1 Calculation Assumption 12
2.2.2 Basic Equation of Thermal Elasticity 12
2.3 Thermal Bending of Rectangular Thin Plate with Four Edges Simply Supported 15
2.3.1 Boundary Conditions 15
2.3.2 The Analytical Solution of the Thermal Elastic Problem 15
2.3.3 Results Analysis 18
2.3.4 Engineering Design 18
2.3.5 Numerical Example 19
2.4 Thermal Bending of Rectangular Thin Plate with Four Edges Clamped 22
2.4.1 Boundary Conditions 22
2.4.2 Analytical Solution of Thermal Elastic Problem 23
2.4.3 Result Analysis 27
2.5 Thermal Bending of Rectangular Thin Plate with One Edge Simply Supported and Three Edges Clamped 28
2.5.1 Boundary Conditions 28
2.5.2 Analytical Solution for Thermal Elastic Problems 28
2.5.3 Result Analysis 31
2.6 Thermal Bending of Rectangular Thin Plate with Three Edges Simply Supported and One Edge Clamped 31
2.6.1 Boundary Conditions 31
2.6.2 Analytical Solution for Thermal Elastic Problems 32
2.6.3 Results Analysis 35
2.7 Thermal Bending of Rectangular Thin Plate with Two Adjacent Edges Simply Supported and Two Opposite Edges Clamped 35
2.7.1 Boundary Conditions 35
2.7.2 Analytical Solution for Thermal Elastic Problems 36
2.7.3 Results Analysis 39
2.8 Thermal Bending of Rectangular Thin Plate with Two Opposite Edges Simply Supported and Two Opposite Edges Clamped 39
2.8.1 Boundary Conditions 39
2.8.2 Analytical Solution for Thermal Elastic Problems 39
2.8.3 Results Analysis 42
3 Thermal Bending of Concrete Rectangular Thin Plate with Free Boundary 45
3.1 Introduction 45
3.2 Thermal Bending of the Concrete Rectangular Thin Plate with Three Edges Simply Supported and One Edge Free 47
3.2.1 Boundary Conditions 47
3.2.2 Analytic Solution for the Rectangular Thin Plate with Three Edges Simply Supported and One Edge Free Under the Deflection w1|y=b 47
3.2.3 Analytical Solution of the Rectangular Thin Plate With Three Edges Supported and One Edge Free Under the Action of DT 49
3.2.4 Results Analysis 52
3.3 Thermal Bending of the Concrete Rectangular Thin Plate with Three Edges Clamped and One Edge Free 52
3.3.1 Boundary Conditions 52
3.3.2 Analytical Solution for the Thermal Elastic Problem 54
3.3.3 Results Analysis 58
3.3.4 Numerical Example 58
3.4 Thermal Bending of Concrete Rectangular Thin Plate with Two Opposite Edges Clamped and One Edge Simply Supported and One Edge Free 61
3.4.1 Boundary Conditions 61
3.4.2 Analytical Solution for the Thermal Elastic Problem 63
3.4.3 Results Analysis 67
3.5 Thermal Bending of Concrete Rectangular Thin Plate with Two Adjacent Edges Clamped and One Edge Simply Supported and One Edge Free 68
3.5.1 Boundary Conditions 68
3.5.2 Analytical Solution for the Thermal Elastic Problem 69
3.5.3 Results Analysis 74
3.6 Thermal Bending of Concrete Rectangular Thin Plate with Two Opposite Edges Simply Supported and One Edge Clamped and One Edge Free 75
3.6.1 Boundary Conditions 75
3.6.2 Analytical Solution for the Thermal Elastic Problem 76
3.6.3 Results Analysis 80
3.7 Thermal Bending of the Concrete Rectangular Thin Plate with Two Adjacent Edges Simply Supported and One Edge Clamped and One Edge Free 81
3.7.1 Boundary Conditions 81
3.7.2 Analytical Solution for the Thermal Elastic Problem 83
3.7.3 Results Analysis 89
4 Thermal Buckling of the Concrete Rectangular Thin Plate 91
4.1 Introduction 91
4.2 Equilibrium and Buckling Equations of Rectangular Thin Plate 92
4.2.1 Geometric Equation 92
4.2.2 Physical Equation 92
4.2.3 Equilibrium and Buckling Equations 94
4.3 Thermal Buckling Temperature of Concrete Rectangular Thin Plate 95
4.3.1 Calculation Parameters 95
4.3.2 Buckling Critical Temperature 96
4.3.3 Numerical Examples 98
4.4 Thermal Buckling of Concrete Rectangular Thin Plate on the Elastic Foundation 100
4.4.1 Equilibrium and Buckling Equations 100
4.4.2 Thermal Buckling of Thin Plate Under the Uniform Temperature Change 100
4.4.3 Numerical Examples 101
4.4.4 Thermal Buckling of Concrete Rectangular Thin Plate on Elastic Foundation in the Case of the Transverse Temperature 104
5 Thermal Vibration of Concrete Rectangular Thin
内容摘要
本书是作者多年来在混凝土矩形薄板热力学性能方面理论研究成果的汇集和总结，全书系统地介绍了各类边界条件下矩形薄板的挠度和弯矩解析解，探讨了混凝土矩形薄板的热屈曲和热振动。为便于工程应用，给出了各类边界条件下混凝土矩形薄板的挠度和弯矩计算用表。
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