《2025 双英 弹性力学及有限元 东南 59讲 视频教程》

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视频介绍 [复制本页地址介绍给朋友~]

 大纲

1.Introduction
 
1.1 Development history of elasticity 
 
1.2 Contents of Elasticity 
 
1.3 Several basic concepts in elasticity
 
1.4 Basic assumptions in elasticity
 
第一章测试
 
2. Basic theory of spatial problems 
 
2.1 Equilibrium differential equations
 
2.2 Stress state of a point in elastic body
 
2.3 Principal stresses, max. and mini. stresses
 
2.4 Geometric equations
 
2.5 Physical equations
 
3. Basic Theory of Plane Problems 
 
3.1 Plane stress and plane strain problems 
 
3.2 Equilibrium differential equations
 
 3.3 Stress state of a point of a plane problem
 
3.4 Geometric equations and rigid displacements 
 
3.5 Physical equations
 
3.6 Boundary conditions 
 
3.7 Saint Vanant Principle and its application 
 
3.8 Displacement based solution of plane problems 
 
3.9 Stress based solution of plane problems and compatible equations 
 
3.10 Simplified solutions for problems with constant body forces
 
第三章测试
 
4. Rectangular Coordinate Solution of Plane Problems
 
4.1 Inverse method and polynomial solution 
 
4.2 Pure bending of a rectangular beam: stress
 
4.3 Pure bending of a rectangular beam: displacement
 
4.4 Semi-inverse method
 
4.5 Simply supported beam with uniformly disturbed loading 
 
4.6 Wedge shaped body subjected to liquid pressure and gravity
 
第四章测试
 
5. Polar Coordinate Solutions to Plane Problems
 
5.1 Differential equations of equilibrium in polar cooridnates
 
5.2 Geometricla and physical equations in polar coordinates
 
5.4 Coordinate transformation of stress comonents
 
5.5 Axisymmetric stresses 
 
5.6 Circular ring subjected to uniform pressure
 
5.7 Pressure tunnel
 
5.8 Stress connentration of a circular hole
 
5.9 Concentrated normal load on a semi-infinite plane
 
5.10 Distributed normal load on a semi-infinite plane
 
5.3 Stress function and compatibility equation in polar coordinates
 
第五章测试
 
6. Mathematical Solutions to Space Problems
 
6.1 Solution to 3D problems in terms of dispacement
 
6.2 Half speca subejtected to gravity and uniform pressure
 
6.3 Displacement potential fuction
 
6.4 Love and Galerkin displacement functions
 
6.5 Half space subjected to concentrated normal force 
 
6.6 Solution to 3D problems in terms of stresses
 
6.7 Pure bending of a straight bar 
 
7. Thin Plate Bending Problems
 
7.1 Concepts and assumptions 
 
7.2 Differential equation of elastic curved surface
 
7.3 Internal forces of cross sections
 
7.4 Boundary condition and equivalent shear force 
 
第七章测试
 
8. Variational method for plane problems
 
8.1 Introduction 
 
8.2 Strain potential energy
 
8.3 Variation equations of displacement 
 
8.4 An example of displacemeny variational method 
 
第八章测试
 
9. Finite Element Method for Planar Problems
 
9.1 Basic components and equations in matrx 
 
9.3 Displacement mode of element and convergence of solution
 
9.4 Matrixed of strain and stress 
 
9.5 Matrixes of nodal forces and stiffness matrix
 
9.6 Load translated nodal load and elemental nodal load matrix
 
9.7 Gloabal analysis of structure and equations of nodal equilibrium
 
9.8 Steps of solving practical problems and dissecting of elements 
 
9.2 Concepts of finite elemet method
 
第九章测试
 
10. Curriculum Ideology
 
10.1Curriculum Ideolog

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