Vibration and stability analysis of a simply-supported Rayleigh beam with spinning and axial motions

被引：40

作者：

Zhu, Kefei ^{[1
]}

Chung, Jintai ^{[1
]}

机构：

[1] Hanyang Univ, Dept Mech Engn, 55 Hanyangdeahak Ro, Ansan 15588, Gyeonggi Do, South Korea

来源：

APPLIED MATHEMATICAL MODELLING | 2019年 / 66卷

基金：

新加坡国家研究基金会;

关键词：

Rayleigh beam; Axially moving and spinning beam; Vibration; Critical speed; Stability; Dynamic response; DYNAMIC-ANALYSIS; MOVING BEAM; TRANSVERSE; SPEED; MODEL; SHAFT;

D O I：

10.1016/j.apm.2018.09.021

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The vibration and stability of a simply supported beam are analyzed when the beam has an axially moving motion as well as a spinning motion. When a beam has spinning and axial motions, rotary inertia plays an important role on the lateral vibration. Compared to previous studies, the present study adopts the Rayleigh beam theory and derives more exact kinetic energy and equations of motion. The rotary inertia terms derived by the present study are compared to those of the previous studies. We investigate the natural frequencies between the present and previous studies. In addition, the critical speed and stability boundary for the spinning and moving speeds are also analyzed. It can be observed from the computed natural frequencies and dynamic responses that the present equations of motion are more reliable than the previous equations because the present equations fully consider the rotary inertia terms. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：362 / 382

页数：21

共 36 条

[1] 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

[2] Revolving superposed standing waves in a spinning Timoshenko Beam [J].

Chan, K. T. ;

Wang, X. Q. ;

So, R. M. C. ;

Huang, J. .

JOURNAL OF SOUND AND VIBRATION, 2012, 331 (04) :815-832

[3] Vibration and stability of an axially moving Rayleigh beam [J].

Chang, Jer-Rong ;

Lin, Wei-Jr ;

Huang, Chun-Jung ;

Choi, Siu-Tong .

APPLIED MATHEMATICAL MODELLING, 2010, 34 (06) :1482-1497

[4] A simple spinning laminated composite shaft model [J].

Chang, MY ;

Chen, JK ;

Chang, CY .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (3-4) :637-662

[5] VIBRATIONS OF PRETWISTED SPINNING BEAMS UNDER AXIAL COMPRESSIVE LOADS WITH ELASTIC CONSTRAINTS [J].

CHEN, ML ;

LIAO, YS .

JOURNAL OF SOUND AND VIBRATION, 1991, 147 (03) :497-513

[6] A TIME INTEGRATION ALGORITHM FOR STRUCTURAL DYNAMICS WITH IMPROVED NUMERICAL DISSIPATION - THE GENERALIZED-ALPHA METHOD [J].

CHUNG, J ;

HULBERT, GM .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1993, 60 (02) :371-375

[7] Natural frequencies of nonlinear vibration of axially moving beams [J].

Ding, Hu ;

Chen, Li-Qun .

NONLINEAR DYNAMICS, 2011, 63 (1-2) :125-134

[8] Parametric variable structure control of a spinning beam system via axial force [J].

Fung, RF ;

Lee, JP .

JOURNAL OF SOUND AND VIBRATION, 1999, 227 (03) :545-554

[9] Non-linear vibration and stability analysis of an axially moving rotor in sub-critical transporting speed range [J].

Ghayesh, Mergen H. ;

Ghazavi, Mohammad R. ;

Khadem, Siamak E. .

STRUCTURAL ENGINEERING AND MECHANICS, 2010, 34 (04) :507-523

[10] Free transverse vibration of an axially loaded non-uniform spinning twisted Timoshenko beam using differential transform [J].

Ho, Shing Huei ;

Chen, Cha'o Kuang .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2006, 48 (11) :1323-1331

← 1 2 3 4 →