计算力学学报2017，Vol.34Issue(2)：137-142,6.DOI:10.7511/jslx201702002
变截面压杆稳定非线性微分方程边值问题的最优化算法研究
Optimization algorithm of boundary value problem of stable nonlinear differential equation for variable cross-section compression bar
摘要
Abstract
For computation of critical load of variable cross-section compression bar under all types of constraints,numerical algorithms for nonlinear differential equation are combined with optimization methods.Taking initial condition of the starting point boundary,unknown critical load and additional constraint force as design variables,terminal boundary value condition and buckling position condition as objective function,an optimization algorithm for critical load and stable buckling deformation of variable cross-section compression bar is proposed.Visual Basic is used to develop a universal computing program.Typical examples are analyzed.Comparison shows that critical load is computed with high precision and the method can be applied in engineering.关键词
压杆稳定/非线性微分方程边值问题/优化算法/临界载荷/位型Key words
compression bar stability/boundary value problem nonlinear differential equation/optimization algorithm/critical load/buckling position分类
数理科学引用本文复制引用
侯祥林,胡建强,卢宏峰,王春刚..变截面压杆稳定非线性微分方程边值问题的最优化算法研究[J].计算力学学报,2017,34(2):137-142,6.基金项目
国家自然科学基金(51008200) （51008200）
辽宁省自然科学基金(2015020129)资助项目. （2015020129）
