摘要
文章根据Mindlin-Reissner厚板理论,从挠度场和剪应变场出发,以变分原理和三次B样条函数为基础,推导出样条函数方法分析厚/薄板弯曲问题的具体计算格式,并编制了相应的计算程序。该方法适用于不同边界条件的厚/薄板在各种纵向荷载作用下的弹性弯曲分析,计算结果表明,文中方法适应性强、精度较高,用较少的结点离散就能获得较好的结果,而且无剪切闭锁现象。
In this paper, deflection and shear strain fields are assumed independently. According to Mindlin-Reissrer plate theory, B-Spline function and variation principle, Spline Function Method is applied to compute thick/thin plate bending, and the corresponding computed formulas are developed. Numerical result shows that the accuracy of this method is satisfactory. Therefore, it is reasonable and feasible for using the Spline Function Method in thick/thin plate bending problems. Moreover, the “shear locking”phenomenon can be avoided.
出处
《红水河》
2007年第2期37-40,共4页
Hongshui River
基金
国家自然科学基金项目(19872020)
广西2004年度科学研究与技术开发计划项目(桂科攻0442001)
关键词
厚/薄板
样条函数方法
剪切闭锁
变分原理
thick/thin plate
Spline Function Method
shear locking
variation principle
