【作者】 王效民；

【导师】 王克林； 刘新东；

【作者基本信息】 西安建筑科技大学 ， 工程力学， 2008， 硕士

【摘要】 本文主要研究利用重三角级数计算四边固定的矩形底柱壳的弯曲。期间考虑了对称性并运用了叠加原理,最后用Matlab编程完成计算。由于重三角级数的利用,将微分方程转换为代数方程,使方程的推导变得简洁,所得的结果数学形式统一,便于计算机编程计算。本文所述的利用重三角级数计算四边固定的矩形底柱壳的弯曲问题的求解方法,展示了这一问题对于利用重三角级数求解及借助计算机计算结果的可行性及准确性。这些充实了柱壳理论的研究,对矩形底柱壳的设计和施工等工程实践具有一定的指导意义。更多还原

【Abstract】 In this paper, using double Fourier Series, the bending of pillars with four fix edges are analyzed. And in the process, symmetry and the principle of superposition are also be used. Because of using double Fourier Series, the development of equations is very simple, and the answer has the advantages of uniform mathematic examples are worked out by using MATLAB, and some distortion graphics are given under different cases .It is easy to contrast and check.This paper described the use of double Fourier Series calculate the bending of equal thickness isotropic rectangular pillars with four fix edges solve means. This demonstrated the use of double Fourier Series for the use of computer and the results of the feasibility and accuracy. These enrich the theoretical study of the shell, the shell of rectangular pillars, such as engineering design and construction practice is of important guiding significance.更多还原