受均布载荷压杆后屈曲形态的数值计算

NUMERICAL CALCULATION OF THE POST-BUCKLING CONFIGURATION OF A COLUMN UNDER DISTRIBUTED LOAD

  • 摘要: 对受均布载荷压杆的屈曲及后屈曲行为进行了分析.基于杆的大变形理论,考虑杆的轴向伸长,建立了受均布载荷作用下细长压杆的几何非线性平衡方程.采用打靶法和解析延拓法数值求解非线性两点边值问题,得到了杆的后屈曲平衡路径和平衡构形.

     

    Abstract: The buckling and post-buckling behaviors of a columnunder distributed load are discussed in this paper. Based on the largedeformation theory and considering the axial extension of the column, theequilibrium equations with geometric nonlinearity of an elastic columnsubjected to distributed load are established. By using shooting method andanalytical continuation, the nonlinear boundary-value problem is solvednumerically. The post-bucking configuration and equilibrium paths of thecolumn are obtained.

     

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