基于振动理论的压杆稳定性分析  

Stability Analysis of Compressive Rod using Vibration Theory

作　　者：孙保苍[1] 陈威[1] 何仁[1] 王欢[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《噪声与振动控制》2005年第4期8-10,共3页Noise and Vibration Control

基　　金：国家自然科学基金(10372037);江苏大学高级人才基金(04jdg010)资助

摘　　要：以轴向受压梁的固有振动分析为基础,利用线性代数的基本知识,通过去除平凡解的方法,导出了计算压杆临界力的公式。方法不仅比非线性动力学方法简单,而且数学上比材料力学给出的方法严谨,从而丰富和完善了压杆临界力计算的理论和方法。Compressive rods are widely applied in many engineering fields such as mechanics，building and mine. By analysizing the natural properties of a compressive beam and removing the ordinary solution, this paper gives a detail method for calculating the critical forces of compressive rods with several kinds of different boundary conditions using vibration theory. The conclusion is that this method is simpler than that given in nonlinear dynamigs, and more mathematically strict than that given in material mechanics. Therefore, this paper enriches and perfects the methods for calculating critical force of compressive rods.

关 键 词：振动与波 压杆 稳定性 平凡解 临界力 

分 类 号：TH133[机械工程—机械制造及自动化] O322[理学—一般力学与力学基础]