CAJ | 학술논문

针对Galerkin截断法在计算轴向受载运动梁的固有特性时，低阶频率误差较大的问题，通过引入轴向力作用对试函数进行改进，分析了两端固支和固支－自由边界条件下的Timoshenko运动梁在轴向压力作用下振动特性。结果表明：分析轴向受压运动梁的低阶弹性振动时，轴向力作用不可忽略；改进方法在轴向载荷较大时计算低阶频率有较大改进，而且对于不同边界条件有很好的适应性；轴向压力和运动效应的共同作用更易引起梁的失稳状态。
침대Galerkin절단법재계산축향수재운동량적고유특성시，저계빈솔오차교대적문제，통과인입축향력작용대시함수진행개진，분석료량단고지화고지－자유변계조건하적Timoshenko운동량재축향압력작용하진동특성。결과표명：분석축향수압운동량적저계탄성진동시，축향력작용불가홀략；개진방법재축향재하교대시계산저계빈솔유교대개진，이차대우불동변계조건유흔호적괄응성；축향압력화운동효응적공동작용경역인기량적실은상태。
Errors become larger when using Galerkin method to calculate lower order natural frequencies of an axially moving beam with axial load.By introducing the effect of axial compressive load,the test functions were modified and the vibration characteristics of an axially moving Timoshenko beam under clamped-clamped and clamped- free boundary conditions were investigated.Simulation results showed that the effect of axial load can not be ignored when calculating lower order natural frequencies of the axial moving beam with axial compressive load;the proposed modification approach based on Galerkin method improves the numerical results greatly when the axial compressive load is larger,and it also has a good applicability for different boundary conditions;the common action of axial compressive load and axially moving causes the beam state to be instable more easily.