大连理工大学主页平台管理系统杜剑明 A geometric softening phenomenon of a rotating cantilever beam 中文主页

论文成果

A geometric softening phenomenon of a rotating cantilever beam: 点击次数：; 发布时间： 2019-03-12; 发布时间：2019-03-12; 论文类型：期刊论文; 发表时间：2017-06-01; 发表刊物：ARCHIVE OF APPLIED MECHANICS; 收录刊物：Scopus、EI、SCIE; 卷号：87; 期号：6; 页面范围：1049-1059; ISSN号：0939-1533; 关键字：Rotating cantilever beam; Foreshortening effect; Geometric stiffening; Geometric softening; Bending frequency; 摘要：In this study, we reconstructed a dynamic model of a rotating cantilever beam for which the geometric stiffening term was obtained by accounting for the longitudinal shrinkage caused by the transverse deflection of the beam. Previous investigations focused on kinetic energy but neglected strain energy. For this study, we retained these strain energy coupling terms. We used Hamilton's principle to derive the complete coupling model. Taking the effect of steady-state axial deformation into account, we obtained the transverse equation of motion and the coupling general characteristic equation. Unlike previous models, this model incorporates not only the geometric stiffening effect but also the geometric softening effect. In relevant numerical examples, as the angular velocity increases, the bending frequency gives rise to geometric stiffening in line with the results obtained in previous studies. When the angular velocity reaches and exceeds a critical value, the bending frequency produces a geometric softening phenomenon.

杜剑明

个人学术主页

性别：男

毕业院校：大连理工大学

学位：博士

所在单位：机械工程学院

办公地点：综合试验一号楼412b

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