[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
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