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

[en] 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.

Disciplines :

Mechanical engineering

Author, co-author :

Udwadia, Firdaus; University of Southern California > Department of Aerospace and Mechanical Engineering

Cho, Hancheol ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Language :

English

Title :

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

Publication date :

2013

Journal title :

Journal of Applied Mechanics

ISSN :

0021-8936

eISSN :

1528-9036

Publisher :

American Society of Mechanical Engineers, New York, United States - New York

Volume :

Issue :

Pages :

041023-1 – 041023-10

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 20 January 2016

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Bibliography

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