摘要
以Vlazov双参数弹性地基上中厚板为研究对象，建立地基与中厚板相互作用的控制微分方程，运用双五次B样条函数最小二乘法对该问题进行了求解，并用Matlab软件编制程序分析算例。算例表明，对于Vlazov地基上四边简支的中厚板而言，板的弯剪刚度比的增大可有效的减小板的挠度，亦即减小地基的变形；考虑地基的横向连续性可合理的修正板的挠度和弯矩的值，使其更符合实际，工程效益显著。该方法只需划分稀疏的离散网格，就可得到与精确解吻合较好的数值结果，其计算效率与精度均优于全域离散的有限元法，在工程实际应用中值得推广使用。
This paper discusses the medium-thick plates on elastic foundation. The elastic foundation model is considered as Vlazov＇s two-parameter elastic foundation model and its effect to medium-thick plates are taken into account by a set of governing differential equations. And double five B-spline function least squares method is put forward for solving the bending problems. As to the medium-thick plate with simply supported edges on Vlazov＇s foundation, the examples calculated show that the accretion of plate＇ s stiffness ratio of bending to shearing can reduce the plate＇ s deflection effectively, i.e. reduce the deformation of foundation. The project would be benefited notably from considering the transverse continuity of the foundation, which can amend the values of the plate＇ s deflection and bending moment. Only by plotting sparse griddings, the method can get the results allied well with the accurate answers, and both its calculation efficiency and precision are superiority to finite element method, worthy while widespread use in the practical project.
出处
《建筑技术开发》
2006年第3期36-39,共4页
Building Technology Development
基金
国家自然科学基金资助项目（No.50278033）
