On the Equations Governing the Free and Forced Vibrations of a General Non-Conservative System-Reference-Cited by-同舟云学术

On the Equations Governing the Free and Forced Vibrations of a General Non-Conservative System

Published:1976-02 Issue:1 Volume:18 Page:6-10
ISSN:0022-2542
Container-title:Journal of Mechanical Engineering Science
language:en
Short-container-title:Journal of Mechanical Engineering Science

Author:

Wahed I. F. A.¹,Bishop R. E. D.²

Affiliation:

1. Department of Mechanical Design, Faculty of Engineering, University of Cairo

2. Head of the Department of Mechanical Engineering, University College London. Fellow of the Institution

Abstract

An expression is derived for the steady forced response of a system governed by the equationin which A, B and C are real but not symmetric. The theory is effectively an adaptation and exploration of previous work by Woodcock (1)‡. His studies were published in the ‘Hamiltonian’ form, while in the present paper the Lagrange approach is used.

Publisher

SAGE Publications

Subject

General Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1243/JMES_JOUR_1976_018_004_02

Reference5 articles.

1. On the Interpretation of the Vector Plots of Forced Vibrations of a Linear System with Viscous Damping

2. Co-Ordinates Which Uncouple the Equations of Motion of Damped Linear Dynamic Systems

3. Classical Normal Modes in Damped Linear Dynamic Systems

4. Normal mode solution to the equations of motion of a flexible airplane.

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On eigenproblem solution of damped vibrations associated with gyroscopic moments;Journal of Sound and Vibration;2009-02

2. The sensitivity and stability of spinning process using frequency response method;Korean Journal of Chemical Engineering;2004-01

3. Taussky's theorem, symmetrizability and modal analysis revisited;Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences;2001-10-08

4. Discussion: “Modal Decoupling of Systems Described by Three Linear Operators” (Renshaw, A. A., 1997, ASME J. Appl. Mech., 64, pp. 238–240);Journal of Applied Mechanics;1997-12-01

5. Modal Decoupling of Systems Described by Three Linear Operators;Journal of Applied Mechanics;1997-03-01