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受弯薄板基本方程坐标变换中的一些问题
SOME QUESTIONS IN COORDINATE TRANSFORMATION OF BASIC EQUATION OF BENDING THIN PLATE
【摘要】 受弯薄板的基本方程,主要是挠曲微分方程和内力方程。指出目前许多文献中普遍存在的基本方程坐标变换时的概念错误,并以数学的等参变换为基础,利用内力的平衡关系,实现直角坐标下内力方程到极坐标下内力方程的变换,圆满完成基本方程的过渡。反过来,同样可以从极坐标下内力方程严密并方便地变换到直角坐标下。
【Abstract】 The basic equation of bending plate includes bending differential equation and internalforce equations.There is a conceptual confusion in basic equation coordinate transformation in many literatures.In order to transform internalforce equations from rectangular coordinate to polar coordinate,based on mathematical transformation and using the balance of the internalforce.So the transition of basic equation accomplished.On the contrary,we can transform internalforce equations from polar coordinate to rectangular coordinate expediently and rigorously.
【关键词】 板结构;
板壳理论;
薄板弯曲;
坐标变换;
【Key words】 plate structures theory of plates and shells bending of thin plate coordinate transformation;
【Key words】 plate structures theory of plates and shells bending of thin plate coordinate transformation;
- 【文献出处】 工业建筑 ,Industrial Construction , 编辑部邮箱 ,2005年S1期
- 【分类号】TU339
- 【下载频次】61