弹性压杆的大变形分析  

Analysis of large deflection of flexible compression bars

作　　者：李银山[1] 刘波[1] 潘文波[1] 侯书军[1] 

机构地区：[1]河北工业大学机械工程学院,天津300130

出　　处：《河北工业大学学报》2011年第5期31-35,共5页Journal of Hebei University of Technology

基　　金：国家自然科学基金(10872063)

摘　　要：建立了弹性压杆大变形的数学模型,采用Maple编程求解了该数学模型,并对细长柔韧压杆弹性失稳后挠曲线形状进行了计算机仿真.分析计算了失稳后屈曲的力学特征,给出了解析表达式;分析计算了失稳后屈曲的平衡状态曲线的几何特征,给出了计算机仿真曲线.A mathematical model for large deflection of flexible bars is founded and then solved via Maple programming. The shape of the deflection curve of the slender flexible bar after buckling is given through computer simulation. Mechanical character of instability after buckling is then analyzed and computed for its analytical expression; meanwhile, the curve＇s geometry in equilibrium case after buckling is also analyzed and computed for its simulated curve.

关 键 词：细长弹性杆 大变形 分岔 MAPLE 

分 类 号：O343.9[理学—固体力学]