Research on Stability Analysis Method of n-order Variable Cross-Section Compression Bars

Abstract

Abstract:

For the stability of n-order variable cross-section compression bars, the differential equations concerning the flexible curve equation were established. Based on the boundary conditions of neighbored-order, a critical load coefficient equation was built by solving the differential equations. And Newton iteration method was applied to calculate the critical load. As a case of telescopic boom for 1200 ton all-terrain crane, comparison results of calculation were analyzed among Newton iteration method, secant method and stability of ANSYS, which indicate the rationality of the critical load coefficient equation and efficiency of Newton iteration method.

Key words: n-order variable cross-section compression bar, critical load, stability, Newton iteration method

摘要：

针对n阶变截面压杆稳定性问题，基于一般的压杆稳定性挠曲线方程建立了n阶变截面压杆的微分方程组，结合相邻阶的边界条件，求解方程组获取递推关系式，即关于临界载荷的方程，应用Newton迭代法对方程进行迭代求解。以1200t全地面起重机伸缩臂为例，分别采用Newton迭代法、弦截法及有限元法计算了伸缩臂的临界载荷，对比分析结果证明了所推导出的临界载荷关系式的合理性及Newton迭代法的高效性。

关键词: n阶变截面压杆, 临界载荷；稳定性, Newton迭代法

CLC Number:

Wang Xin, Yi Huaijun, Zhao Rixin, Xiao Hua. Research on Stability Analysis Method of n-order Variable Cross-Section Compression Bars[J]. China Mechanical Engineering, 2014, 25(13): 1744-1747,1799.

王欣, 易怀军, 赵日鑫, 肖华. 一种n阶变截面压杆稳定性计算方法的研究[J]. 中国机械工程, 2014, 25(13): 1744-1747,1799.

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