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Timoshenko阶梯梁在惯性效应移动载荷下的振动
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
Department光电信息技术研究室
Source Publication噪声与振动控制
ISSN1006-1355
2020
Volume40Issue:2Pages:71-75, 132
Indexed ByCSCD
CSCD IDCSCD:6702561
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
Abstract

变截面梁可以简化为由多段阶梯梁所组成,简化的段数越多,结果越精确。因此,基于Timoshenko梁理论,运用连续体传递矩阵法建立阶梯梁振动微分方程,并求解阶梯梁在考虑惯性效应移动载荷作用下的受迫振动响应;改变移动载荷的质量、速度和加速度,研究移动载荷参数对惯性效应的影响。与Euler梁模型和有限元模型的对比表明,该方法精度良好。选取悬臂梁自由端端点进行分析,结果表明,移动载荷的质量、速度和加速度增大,惯性系数也增大;质量是影响惯性效应的主要因素。当移动载荷的质量很小时,可以忽略由加速度和速度引起的惯性效应。

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.

Language中文
Citation statistics
Document Type期刊论文
Identifierhttp://ir.sia.cn/handle/173321/26712
Collection光电信息技术研究室
Corresponding Author李宏亮
Affiliation1.哈尔滨工程大学航天与建筑工程学院
2.中国科学院沈阳自动化研究所光电信息技术研究室
3.中国核动力研究设计院
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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