Lagrangians for Damped Linear Multi-Degree-of-Freedom Systems-Reference-Cited by-同舟云学术

Lagrangians for Damped Linear Multi-Degree-of-Freedom Systems

Published:2013-05-23 Issue:4 Volume:80 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Udwadia Firdaus E.¹,Cho Hancheol²

Affiliation:

1. Professor Departments of Aerospace and Mechanical Engineering, Civil Engineering, Mathematics, Systems Architecture Engineering, and Information and Operations Management, University of Southern California, 430 K Olin Hall, Los Angeles, CA 90089

2. Graduate Student Department of Aerospace and Mechanical Engineering, University of Southern California, Los Angeles, CA 90089

Abstract

This paper deals with finding Lagrangians for damped, linear multi-degree-of-freedom systems. New results for such systems are obtained using extensions of the results for single and two degree-of-freedom systems. The solution to the inverse problem for an n-degree-of-freedom linear gyroscopic system is obtained as a special case. Multi-degree-of-freedom systems that commonly arise in linear vibration theory with symmetric mass, damping, and stiffness matrices are similarly handled in a simple manner. Conservation laws for these damped multi-degree-of-freedom systems are found using the Lagrangians obtained and several examples are provided.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/doi/10.1115/1.4023019/6077811/jam_80_4_041023.pdf

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