轴向受载的阶梯梁的振动  

VIBRATIONS OF STEPPED BEAMS UNDER AXIAL LOADS

作　　者：张英世[1] 刘宗德[2] 

机构地区：[1]北京航空航天大学508教研室,北京100083 [2]华北电力大学,北京102206

出　　处：《工程力学》1999年第3期75-80,共6页Engineering Mechanics

摘　　要：用奇异函数建立轴向受载的阶梯梁自由振动和强迫振动的微分方程并求得其通解，用W算子给出主振型函数的表达式及常见支承条件下粱的频率方程。对各种情况下的影响函数进行详细的讨论。文中给出的固有频率表达式表明，轴向载荷对梁的固有频率有影响。Differential equations of free/forced vibrations of stepped beams under axial loadsare established and the general solutions are obtained. The vibration mode fraction andfrequency equations on usual supportS are also derived. Influence functions for various cases arediscussed in detail. It is found that frequencies of beams are influenced by axial force.

关 键 词：轴向受载 阶梯梁 自由振动 强迫振动响应 

分 类 号：O327[理学—一般力学与力学基础] TB123[理学—力学]