仝立勇. 多参数变分原理及其在梁板单元中的应用[J]. 工程力学, 1987, 4(3): 111-119.
引用本文: 仝立勇. 多参数变分原理及其在梁板单元中的应用[J]. 工程力学, 1987, 4(3): 111-119.
Tong Liyong. ON MULTI PARAMETERS VARIATIONAL PRINCIPLES AND THEIR APPLICATION IN BEAM PLATE ELEMENTS[J]. Engineering Mechanics, 1987, 4(3): 111-119.
Citation: Tong Liyong. ON MULTI PARAMETERS VARIATIONAL PRINCIPLES AND THEIR APPLICATION IN BEAM PLATE ELEMENTS[J]. Engineering Mechanics, 1987, 4(3): 111-119.

多参数变分原理及其在梁板单元中的应用

ON MULTI PARAMETERS VARIATIONAL PRINCIPLES AND THEIR APPLICATION IN BEAM PLATE ELEMENTS

  • 摘要: 本文基于能量这个基本概念,获得了适用于线性和非线性弹性力学的多参数变分原理集合VR。并且,研究了它在Timoshenko梁和Mindlin板有限元分析中的应用,数值结果表明:适当地选取变分原理中的某个参数不仅可以改善单元的收敛性,并且还可以克服“剪切自锁”引起的困难。

     

    Abstract: This paper, basing on the fundamental concept of strain energy, studies the multiparameters variational principles set VR which is applicable for both linear and nonlinear elastic mechanics problems. The applications of ⅡL1 in finite element analyses of Timoshcnko beam and Mindlin plate are discussed in detail. The numerical results show that proper chose of the parameter in functional ⅡL1 can not only improve the convergent properties of the element concerned, but also avoid the troublesome caused by the so-called "shear locking".

     

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