摘要
选取带附加项的重三角级数为挠度函数,利用里兹法对无拉力文克尔地基上四边自由矩形薄板的弯曲问题进行分析.针对板与地基的接触区事先未知的情况,采用迭代法求解,通过算例,在迭代的第一步与经典的文克尔地基上的薄板结果进行比较,证明了里兹法的有效性.结果表明,文克尔地基上四边自由矩形薄板的弯曲与无拉力文克尔地基的解答有明显的差异,这对实际应用具有参考价值.
The bending problem of rectangle thin plates with four free edges on tensionless Winkler foundation is solved by using Ritz method based on selecting double trigonometric series with supplementary terms as deflection function.Iterative method is employed as the contact zone between plates and foundation is unknown.The method is simpler in computation and faster in convergence.A numerical example is given to prove the validity of Ritz method by compared with the classical thin plates on winkler foundation.The results show that there are obvious differences between the solutions of contact and renegade problems and is of referential value for practical application.
出处
《山东理工大学学报（自然科学版）》
CAS
2010年第4期5-8,共4页
Journal of Shandong University of Technology:Natural Science Edition
关键词
矩形薄板
无拉力文克尔地基
里兹法
rectangle thin plates
tensionless Winkler foundation
Ritz method
