摘要
根据Mindlin-Reissner厚板理论,从挠度场和截面法线转角场出发,以变分原理和3次B样条函数为基础,推导出样条无单元法分析厚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板在各种纵向荷载作用下的弹性弯曲分析。计算结果表明,本文方法适应性强、精度较高,用较少的结点离散就能获得较好的结果,而且无明显的剪切闭锁现象,满足工程中板分析的精度要求。
Deflection and rotation fields are assumed independently, according to Mindlin-Reissner thick plate theory, B-Spline function and variation principle, element-free spline method is applied to calculating think plate bending, and the corresponding computed formulas are developed. Numerical results show that the accuracy of this method is satisfactory. Therefore, it is reasonable and feasible for using the element-free spline method in plate bending problems. Moreover the ＂shear locking＂ phenomenon is very weak.
出处
《四川建筑科学研究》
北大核心
2008年第5期4-7,共4页
Sichuan Building Science
基金
国家自然科学基金资助项目(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
无单元法
剪切闭锁
变分原理
thick/thin plate
B-spline function
element-free method
shear locking
variation principle
