摘要
本文以空间曲梁理论为基础,推导出具有非圆形横截面的直梁的运动微分方程,对其自由振动特性进行研究。方程中不仅考虑了转动惯量、轴向变形和横向剪切变形的效应,而且考虑了与扭转有关的翘曲变形对梁固有频率的影响。结果表明:在考虑了翘曲效应后,用本文方法得到的解和有限元结果吻合得很好,翘曲变形对梁的第5-8阶固有频率有较大影响。
Based on the spatial curved beam theory, the differential equations of motion for straight beam with noncircular cross section were derived, and its free vibration characteristics were studied. In the formulations, the warping effect upon natural frequencies was studied in addition to considering the rotary inertia, the shear and axial deformation effects. The numerical result shows that the results available in the literature are consistent with the finite element results by considering the warping effect, which has a great influence on the 5 th-8 th order natural frequencies of the beam.
作者
高珊珊
黄欣
郝颖
GAO Shanshan;HUANG Xin;HAO Ying(School of Civil Engineering and Communication,North China University of Water Resources and Electric Power,Zhengzhou Henan 450045)
出处
《河南科技》
2019年第28期110-111,共2页
Henan Science and Technology
基金
国家自然科学基金（11402090）资助
关键词
非圆形截面
广义翘曲坐标
固有频率
non-circular cross section
generalized warping coordinate
natural frequency
