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高次数值流形方法及其在弹性地基板中的应用
HIGHER ORDER NUMERICAL MANIFOLD METHOD AND ITS APPLICATION IN ELASTIC FOUNDATION PLATES
【摘要】 根据数值流形方法的思想,用Hermite插值函数表示三角形板单元位移模式中的权函数,并在此基础上,在不增加额外覆盖数的条件下,构造了一种新的更高次位移模式,各种条件的计算结果表明这种位移模式具有精度高的优点,很有实用意义.
【Abstract】 Based on Shi’s numerical manifold method, a new higher order displacement model has been established for a triangular plate bend element, with Hermitian interpolation functions for covers’ weight functions and without adding any other covers. Various numerical examples show that the new model can solve the elastic foundation plate prob- lems and improve the accuracy of deflection and mo-ment.
【关键词】 数值流形;
弹性地基板;
高次位移模式;
【Key words】 numerical manifold method; elastic foundation plate; higher order displacement model;
【Key words】 numerical manifold method; elastic foundation plate; higher order displacement model;
- 【文献出处】 力学与实践 ,Mechanics and Engineering , 编辑部邮箱 ,2001年03期
- 【分类号】O302
- 【被引频次】10
- 【下载频次】94