论文部分内容阅读
本文以稳定性的一般理论为基础,运用有限元法对平板的后屈曲问题作了较详细的分析。应用变分原理推导出平板后屈曲平衡路径的有限元增量方程,由此建立了确定二次分支点的准确判据;编制了以当前刚度参数法自动控制步长和避免矩阵奇异性的微机程序,用这个程序求出了复杂约束和复杂载荷下平板的后屈曲平衡路径和二次分支点;以曲线拟合的方法,导出了一簇后屈曲平衡路径的计算公式。本文计算结果和其它理论结果和实验结果的比较表明,本文的分析和计算效果良好。
In this paper, based on the general theory of stability, the finite element method is used to analyze the post-buckling problem of the plate in more detail. The finite element incremental equations of the plate post-buckling equilibrium path were deduced by the variational principle, and the accurate criterion for the determination of the secondary branching point was established. A computer was developed to automatically control the step size and avoid the singularity of the matrix using the current stiffness parameter method. The program uses this program to find the post-buckling equilibrium path and quadratic bifurcation point of the plate under complicated constraints and complex loads. A curve-fitting method is used to derive a calculation formula for a cluster of post-buckling equilibrium paths. The comparison between the calculation results and other theoretical results and experimental results shows that the analysis and calculation results of this paper are good.