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Alternative TitleVibration Analysis of Timoshenko Stepped Beams under Moving Loads Considering Inertial Effect
龚云轩1; 李宏亮1; 汤占洲2; 王禹3
Source Publication噪声与振动控制
Volume40Issue:2Pages:71-75, 132
Indexed ByCSCD
Contribution Rank2
Funding Organization中国博士后科学基金资助项目(2015M581433)
Keyword振动与波 Timoshenko梁 传递矩阵 移动载荷 惯性效应


Other Abstract

Variable cross-section beams can be simplified into stepped beams. The accuracy of the results increases as the number of the simplified step segments increases. In this paper, based on the Timoshenko beam theory, the continuum transfer matrix method is used to establish the differential equation for the stepped beam vibration. The forced vibration response of the step beam under the action of the moving load is solved with the inertial effect considered. The influence of moving load parameters on inertial effects is studied by changing the mass, velocity and acceleration. The results are compared with those of the Euler beam model and the finite element model. It is proved that this model has better precision. The simulation data at the free end of the cantilever beam is analyzed. It is shown that as the mass, velocity and acceleration of the moving load increase, the inertia coefficient also increases. Mass is the main factor affecting the inertia effect. When the mass of the moving load is small, the inertia effect caused by the acceleration and the velocity can be ignored.

Citation statistics
Document Type期刊论文
Corresponding Author李宏亮
Recommended Citation
GB/T 7714
龚云轩,李宏亮,汤占洲,等. Timoshenko阶梯梁在惯性效应移动载荷下的振动[J]. 噪声与振动控制,2020,40(2):71-75, 132.
APA 龚云轩,李宏亮,汤占洲,&王禹.(2020).Timoshenko阶梯梁在惯性效应移动载荷下的振动.噪声与振动控制,40(2),71-75, 132.
MLA 龚云轩,et al."Timoshenko阶梯梁在惯性效应移动载荷下的振动".噪声与振动控制 40.2(2020):71-75, 132.
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