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夹层圆板非线性弯曲问题的加权残值解法
引用本文:侯国华,侯朝胜.夹层圆板非线性弯曲问题的加权残值解法[J].工业建筑,2012(Z1):122-125.
作者姓名:侯国华  侯朝胜
作者单位:中国纺织工业设计院;天津大学建筑工程学院
摘    要:用幂函数做试函数,用加权残值法中的配点法得出非线性方程组。用牛顿迭代法解得了夹层圆板在均布荷载作用下的非线性弯曲挠度和应力解。结果证明本方法具有计算精确,荷载收敛范围大的特点。

关 键 词:非线性弯曲  加权残值法  牛顿迭代法

THE RESEARCH ON THE NONLINEAR BENDING QUESTIONS OF CIRCULAR SANDWICH PLATES BY METHOD OF WEIGHTED RESIDUALS
Hou guohua,Hou chaosheng.THE RESEARCH ON THE NONLINEAR BENDING QUESTIONS OF CIRCULAR SANDWICH PLATES BY METHOD OF WEIGHTED RESIDUALS[J].Industrial Construction,2012(Z1):122-125.
Authors:Hou guohua  Hou chaosheng
Affiliation:1.China textile industry design institute Beijing 100037,China; 2.College of Civil Engeering,Tianjin University,Tianjin 300072,China)
Abstract:In this paper,power functions have been taken as trial functions.The nonlinear functions are got through the method of point collocation.The results of stresses and deflections on sandwich plate are gained by Newton iteration method.They testify that the method has advantage of high accuracy and broad loads convergence.
Keywords:nonlinear bend  method of weighted residuals  Newton iteration method
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