英汉双语弹性力学4.ppt

文档介绍：Elasticity
Chapter 4 Polar Solutions for Planar Problems
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第四章平面问题的极坐标解答
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POLAR SOLUTIONS FOR PLANAR PROBLEMS
Chapter 4 Polar Solutions For Planar Problems
§4-1 Differential Equations of Equilibrium in Polar
Coordinates
§4-5 Axially Symmetric Stress and Its Displacement
§4-2 Geometric and Physical Formulas in Polar
Coordinates
§4-3 Stress Functions and Consistent Equations in
Polar Coordinates
§4-4 Coordinates Transforms for ponents
§4-6 Circular Ring or Cylinder under Uniform
Loading Pressure Tunnel
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平面问题的极坐标解答
第四章平面问题的极坐标解答
§4-1 极坐标中的平衡微分方程
§4-4 应力分量的坐标变换式
§4-3 极坐标中的应力函数与相容方程
§4-2 极坐标中的几何方程及物理方程
§4-5 轴对称应力和相应的位移
§4-6 圆环或圆筒受均布压力压力隧洞
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§4-7 Pure Bending of Curved Beam
Chapter 4 Polar Solutions For Planar Problems
§4-11 Normal Concentrated Forces on the Boundary for
Semi-plane Body
Exercise
§4-9 Stress Concentration Close by Circular Aperture
§4-10 Force on the Top and the Faces of Wedge
§4-8 Stress and Displacement of Disc in Uniform
Rotation
POLAR SOLUTIONS FOR PLANAR PROBLEMS
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§4-9 圆孔的孔边应力集中
§4-7 曲梁的纯弯曲
§4-8 圆盘在匀速转动中的应力及位移
§4-10 楔形体在楔顶或楔面受力
&#167;4-11 半平面体在边界上受法向集中力<br面问题的极坐标解答
第四章平面问题的极坐标解答
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&#167;4-1 Differential Equations of
Equilibrium in Polar Coordinates
Dealing with elasticity problems, what form of coordinate system we choose,which can’t affect on describing problem essence, but relate to the level of difficulty on solving problem directly。If coordinate is suitable,it can simplify the problem considerably。For example, for circular、wedged and sector and so on,solved by using polar coordinates are more convenient than using rectangular coordinates.
Considering an differential field in the plate
POLAR SOLUTIONS FOR PLANAR PROBLEMS
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&#167;4-1 极坐标中的平衡微分方程
在处理弹性力学问题时,选择什么形式的坐标系统,虽不会影响对问题本质的描绘,但将直接关系到解决问题的难易程度。如坐标选得合适,可使问题大为简化。例如对于圆形、楔形、扇形等物体,采用极坐标求解比用直角坐标方便的多。
考虑平面上的一个微分体
平面问题的极坐标解答
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Considering equilibrium of an unit element,there have three equilibrium equations:
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normal stress in the direction i