Technical Brief

Inverse Problem of Lagrangian Mechanics for Classically Damped Linear Multi-Degrees-of-Freedom Systems

[+] Author and Article Information
Firdaus E. Udwadia

Aerospace and Mechanical Engineering,
Civil Engineering, Mathematics, and Operations
and Information Management,
University of Southern California,
Los Angeles, CA 90089
e-mail: feuUSC@gmail.com

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received February 1, 2016; final manuscript received June 22, 2016; published online July 25, 2016. Assoc. Editor: Alexander F. Vakakis.

J. Appl. Mech 83(10), 104501 (Jul 25, 2016) (4 pages) Paper No: JAM-16-1065; doi: 10.1115/1.4034012 History: Received February 01, 2016; Revised June 22, 2016

Lagrangians for classically damped linear multi-degrees-of-freedom dynamical systems are obtained using simple and elementary methods. Such dynamical systems are very widely used to model and analyze small amplitude vibrations in numerous naturally occurring and engineered systems. An invariant of the motion is also obtained.

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