期刊
JOURNAL OF SOUND AND VIBRATION
卷 247, 期 1, 页码 97-115出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1006/jsvi.2001.3716
关键词
-
The dynamic stiffness matrix of a centrifugally stiffened Timoshenko beam has been developed and used to carry out a free vibration analysis. The governing differential equations of motion of the beam in free vibration are derived using Hamilton's principle and include the effect of an arbitrary hub radius. For harmonic oscillation the derivation leads to two different (but of similar form) fourth-order ordinary differential equations with variable coefficients that govern the amplitudes of bending displacement and bending rotation respectively. An outboard force at the end of the beam is taken into account which makes possible the free vibration analysis of rotating non-uniform or tapered Timoshenko beams. Using the Frobenius method of series solution and imposing boundary conditions, the dynamic stiffness matrix, which relates amplitudes of harmonically varying forces with the amplitudes of harmonically varying displacements at the ends of the element, is formulated. Applying the Witt rick-Williams algorithm to the resulting dynamic stiffness matrix the natural frequencies of a few carefully chosen illustrative examples are obtained. The results are compared with those available in the literature. (C) 2001 Academic Press.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据