轴向力作用两端支承梁的固有特性和稳定性分析  

Characteristic and stability of supported beam under axial force

作　　者：刘善亮[1] 金基铎[1] 张艳雷[1] 

机构地区：[1]沈阳航空工业学院航空宇航工程学院,辽宁沈阳110136

出　　处：《沈阳航空工业学院学报》2009年第1期26-30,共5页Journal of Shenyang Institute of Aeronautical Engineering

摘　　要：推导了轴向力作用下的两端支承梁的运动微分方程,以两端支承梁的振型函数为假设振型函数,分析了不同扭转弹簧刚度下轴向力变化对梁固有频率的影响,导出了两端支承梁在临界轴向力作用下的解析表达式,讨论了扭转弹簧刚度对梁临界轴向力的影响特性。The differential equation of the supported beam under axial force are derived. The effect of the axial force on the frequency of the supported beam under different torsional spring is discussed, and the analytical expression of critical axial force of the supported beam is also obtained using the given eigenfunction. The effect of torsional spring on the values of critical axial force is discussed according to the analytical expressions derived.

关 键 词：轴向力 0内共振 稳定性 临界轴向力 

分 类 号：TB123[理学—工程力学]