分布荷载下简支梁大变形的优化算法  

Optimization Computation of Large Deformation about Simple Support Beam Applied Distributed Force

作　　者：侯祥林[1] 尤超[1] 汪一鸣[1] 

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168

出　　处：《沈阳建筑大学学报（自然科学版）》2008年第4期601-605,共5页Journal of Shenyang Jianzhu University：Natural Science

基　　金：辽宁省自然基金项目(20072011)

摘　　要：目的研究分布荷载作用下的简支梁大变形问题的直接优化算法,求解复杂载荷作用下几何非线性梁的转角与位移.方法以平衡状态下梁未知转角和未知坐标为设计变量,通过含未知坐标的子段内力和变形关系与总体坐标累计计算,建立了确定未知坐标的复杂嵌套式动态目标函数,形成梁大变形量计算的优化问题,并编制计算程序分析典型实例.结果获得了分布载荷作用下的简支梁产生大变形时的各分点转角与位移,通过与Ansys 9.0有限元软件计算结果相对比,表明研究算法的正确性.结论通过分布载荷作用下梁的大变形算法分析,为复杂几何非线性静动态问题求解提供了新方法.A kind of optimization algorithm about large deformation of geometric non-linear beams applied distributed force is proposed to compute angle and displacement of geometric non - linear beams on complex loads. Making unknown rotating angle and coordinates under equilibrium state as design variables, relation of internal force and deformation of simple support beam in equilibrium state is analyzed and programmed objective function is formed, a non- constrain optimization problem computing large deformation is built. Deformation of Simple support beam applied distributed force is computed with program. Large deformation result is given. Contrasted with Ansys 9.0 method, effectiveness is verified by practical example. The new optimization method will be used to decide large engineering deformation problem.

关 键 词：简支梁 分布载荷 大变形 优化算法 目标函数 

分 类 号：O343.5[理学—固体力学] TU973[理学—力学]