Free vibration analysis of rotating Euler beams at high angular velocity

被引：97

作者：

Huang, Chih Ling ^{[1
]}

Lin, Wen Yi ^{[2
]}

Hsiao, Kuo Mo ^{[1
]}

机构：

[1] Natl Chiao Tung Univ, Dept Mech Engn, Hsinchu, Taiwan

[2] De Lin Inst Technol, Dept Mech Engn, Tucheng, Taiwan

来源：

COMPUTERS & STRUCTURES | 2010年 / 88卷 / 17-18期

关键词：

Rotating beam; Vibration; Natural frequency; Power series solution; Frequency veering; DYNAMIC STIFFNESS FORMULATION; POWER-SERIES SOLUTION; TIMOSHENKO BEAM; BERNOULLI BEAM; ELEMENT; BLADES;

D O I：

10.1016/j.compstruc.2010.06.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The natural frequency of the flapwise bending vibration, and coupled lagwise bending and axial vibration is investigated for the rotating beam. A method based on the power series solution is proposed to solve the natural frequency of very slender rotating beam at high angular velocity. The rotating beam is subdivided into several equal segments. The governing equations of each segment are solved by a power series. Numerical examples are studied to demonstrate the accuracy and efficiency of the proposed method. The effect of Coriolis force, angular velocity, and slenderness ratio on the natural frequency of rotating beams is investigated. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：991 / 1001

页数：11

共 26 条

[1] Dynamic stiffness formulation and free vibration analysis of a spinning composite beam [J].

Banerjee, J. R. ;

Su, H. .

COMPUTERS & STRUCTURES, 2006, 84 (19-20) :1208-1214

[2] Development of a dynamic stiffness matrix for free vibration analysis of spinning beams [J].

Banerjee, JR ;

Su, H .

COMPUTERS & STRUCTURES, 2004, 82 (23-26) :2189-2197

[3] Dynamic stiffness formulation and free vibration analysis of centrifugally stiffened Timoshenko beams [J].

Banerjee, JR .

JOURNAL OF SOUND AND VIBRATION, 2001, 247 (01) :97-115

[4]

Chung T.J., 1988, CONTINUUM MECH

[5] A POWER-SERIES SOLUTION FOR VIBRATION OF A ROTATING TIMOSHENKO BEAM [J].

DU, H ;

LIM, MK ;

LIEW, KM .

JOURNAL OF SOUND AND VIBRATION, 1994, 175 (04) :505-523

[6] FREE-VIBRATION ANALYSIS OF ROTATING BEAMS BY A VARIABLE-ORDER FINITE-ELEMENT METHOD [J].

HODGES, DH ;

RUTKOWSKI, MJ .

AIAA JOURNAL, 1981, 19 (11) :1459-1466

[7] COROTATIONAL TOTAL LAGRANGIAN FORMULATION FOR 3-DIMENSIONAL BEAM ELEMENT [J].

HSIAO, KM .

AIAA JOURNAL, 1992, 30 (03) :797-804

[8] A CONSISTENT FINITE-ELEMENT FORMULATION FOR NONLINEAR DYNAMIC ANALYSIS OF PLANAR BEAM [J].

HSIAO, KM ;

YANG, RT ;

LEE, AC .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (01) :75-89

[9] BENDING FREQUENCY OF A ROTATING BEAM WITH AN ELASTICALLY RESTRAINED ROOT [J].

LEE, SY ;

KUO, YH .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1991, 58 (01) :209-214

[10]

LEE SY, 2007, ASME, V74, P406

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