TRANSVERSE VIBRATIONS OF A ROTATING TWISTED TIMOSHENKO BEAM UNDER AXIAL LOADING

被引：33

作者：

CHEN, WR

KEER, LM

机构：

[1] Department of Mechanical Engineering, Northwestern University, Evanston, IL

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1993年 / 115卷 / 03期

关键词：

D O I：

10.1115/1.2930347

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Transverse bending vibrations of a rotating twisted beam subjected to an axial load and spinning about its axial axis are established by using the Timoshenko beam theory and applying Hamilton's Principle. The equations of motion of the twisted beam are derived in the twist nonorthogonal coordinate system. The finite element method is employed to discretize the equations of motion into time-dependent ordinary differential equations that have gyroscopic terms. A symmetric general eigenvalue problem is formulated and used to study the influence of the twist angle, rotational speed, and axial force on the natural frequencies of Timoshenko beams. The present model is useful for the parametric studies to understand better the various dynamic aspects of the beam structure affecting its vibration behavior.

引用

页码：285 / 294

页数：10

共 32 条

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