柔性梁与柔韧板的有限元分析

刘正兴; 吴连元; 冯太华

柔性梁与柔韧板的有限元分析

1.
上海交通大学;
2.
南京航空学院

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出版历程
- 收稿日期: 1982-04-24
- 刊出日期: 1985-09-15

The Finite Element Analysis of the Flexible Beams and Plates

1.
Shanghai Jiao Tong University, Shanghai;
2.
Nanjing Aeronautical Institute, Nanjing

摘要

摘要: 本文采用有限单元法分析梁、板的大挠度问题,在应变位移关系中考虑了转动引起的中面伸长;在计算应变能时保留了高阶项.应用最小位能原理导出空间柔性梁元、柔韧板元的弹性刚度矩阵、线性和非线性初应力矩阵,算例表明,在不增加存贮量和计算时间的条件下可适当提高解的精度、为排除寄生的刚体位移,应采用拖带坐标系的迭代法.

Abstract: This paper studies large deflection problem of beam and plates by the finite element method. The elongation of the middle surface caused by its rotation is considered in strain-displacement relations. The higher order terms will be reserved when strain energy is calculated. The elastic stiffness matrix, linear and nonlinear initial stress stiffness metrices are derived by the principle of minimum potential energy. Examples show that precision will be properly manifested although the total storage amount and the calculating lime are not increased. The iterative method with co-moving coordinate must be adopted to avoid parasitic rigid body motion.

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参考文献(16)

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[8]	B,B诺沃日洛夫,《非线性弹性力学基础》.科学出版社(1958).
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