侯祥林, 卢宏峰, 范炜, 贾连光. 变截面承压杆的临界载荷的优化算法研究与应用[J]. 工程力学, 2013, 30(增刊): 6-10. DOI: 10.6052/j.issn.1000-4750.2012.03.S001
引用本文: 侯祥林, 卢宏峰, 范炜, 贾连光. 变截面承压杆的临界载荷的优化算法研究与应用[J]. 工程力学, 2013, 30(增刊): 6-10. DOI: 10.6052/j.issn.1000-4750.2012.03.S001
HOU Xiang-lin, LU Hong-feng, FAN Wei, JIA Lian-guang. OPTIMIZATION ALGORITHM AND APPLICATION OF CRITICAL LOAD FOR VARIABLE CROSS-SECTION COMPRESSION BAR[J]. Engineering Mechanics, 2013, 30(增刊): 6-10. DOI: 10.6052/j.issn.1000-4750.2012.03.S001
Citation: HOU Xiang-lin, LU Hong-feng, FAN Wei, JIA Lian-guang. OPTIMIZATION ALGORITHM AND APPLICATION OF CRITICAL LOAD FOR VARIABLE CROSS-SECTION COMPRESSION BAR[J]. Engineering Mechanics, 2013, 30(增刊): 6-10. DOI: 10.6052/j.issn.1000-4750.2012.03.S001

变截面承压杆的临界载荷的优化算法研究与应用

OPTIMIZATION ALGORITHM AND APPLICATION OF CRITICAL LOAD FOR VARIABLE CROSS-SECTION COMPRESSION BAR

  • 摘要: 针对变截面压杆临界载荷计算问题,应用差分原理,转化一阶临界载荷下的稳定方程为离散差分方程组。以各离散点的未知挠度和压杆临界力为设计变量,以非线性方程组满足的关系构建目标函数,提出了变截面压杆临界载荷分析求解的优化算法。编制通用程序求解变截面压杆的临界载荷。通过典型算例分析与对比,表明该算法是具有简单和高精度的快速数值新方法,为工程应用提供良好条件。

     

    Abstract: Different principles are applied to critical load computing problems about variable cross-section compression bars, and the stable equation for first-order critical load is converted into difference equations. Making unknown deflections of discrete coordinate points and critical load of compression bars to be design variables, the construct objective function based on the relation is satisfied by nonlinear difference equations. The optimization algorithm of critical load analysis and solution for variable cross-section compression bars are put forward. The generalized program is designed to solve the critical load of a variable cross-section compression bar. By the analysis and comparison of practical computing examples, it is proved that the algorithm is simple in program design, high in precise and fast in convergence. The method can be well used in engineering.

     

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