An Alternative Form of the Equation of Motion for Constrained Structural and Mechanical Systems With Singular Mass Matrices-Reference-Cited by-同舟云学术

An Alternative Form of the Equation of Motion for Constrained Structural and Mechanical Systems With Singular Mass Matrices

Published:2022-12-19 Issue:3 Volume:90 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Udwadia Firdaus E.¹,Mogharabin Nami²

Affiliation:

1. University of Southern California Department of Aerospace and Mechanical Engineering; Department of Civil and Environmental Engineering; Department of Operations and Information Management, , Los Angeles, CA 90089

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

Abstract

Abstract This paper develops an alternative description of the general equation of motion for constrained mechanical systems with singular mass matrices. The formulation gives a new explicit equation of motion for such systems and provides a simple and elegant way to interpret the manner in which Nature orchestrates constrained motion, something that was not possible for such systems in the past.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

https://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/90/3/031008/6963571/jam_90_3_031008.pdf

Reference19 articles.

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2. On the Fundamental Formulae of Dynamics;Gibbs;Am. J. Math.,1879

3. Sur une Forme Generale des Equations de la Dynamique;Appell;C. R. Acad. Sci.,1899

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