Free vibration of a rotating tapered Rayleigh beam: A dynamic stiffness method of solution

被引：75

作者：

Banerjee, J. R. ^{[1
]}

Jackson, D. R. ^{[2
]}

机构：

[1] City Univ London, Sch Engn & Math Sci, London EC1V 0HB, England

[2] Univ Manchester, Sch Engn, Manchester M60 1QD, Lancs, England

来源：

COMPUTERS & STRUCTURES | 2013年 / 124卷

关键词：

Rotating tapered beam; Free vibration; Dynamic stiffness method; Frobenius method; Wittrick-Williams algorithm; TRANSVERSE VIBRATIONS; NATURAL FREQUENCIES; UNIFORM; FORMULATION; MATRIX; RANGE;

D O I：

10.1016/j.compstruc.2012.11.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The dynamic stiffness method for free vibration analysis of a rotating tapered Rayleigh beam is developed to investigate its free vibration characteristics. The type of taper considered covers a majority of practical cross-sections. The effects of centrifugal stiffening, an outboard force, an arbitrary hub radius and importantly, the rotatory inertia (Rayleigh beam) are included in the analysis. Natural frequencies and mode shapes of some examples are illustrated by using the developed dynamic stiffness matrix and applying the Wittrick Williams algorithm. The theory is validated by using comparative results in the literature. The effects of slenderness ratio, rotational speed and taper ratio on results are discussed. This is followed by some concluding remarks. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：11 / 20

页数：10

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