Dynamic analysis of a multibody open-chain system

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1991 (EN)
Dynamic analysis of a multibody open-chain system (EN)

Younis, C (EN)
Panayotounakos, DE (EN)

N/A (EN)

The free plane motion of a compound pendulum is studied using the Lagrange equations of motion. The specific compound pendulum consists of a main plane disk from which are suspended two chains, each of which is composed of m and n rigid plane disks, respectively. A nonlinear system of m + n + 1 ordinary differential equations (ODEs) with respect to the properly selected generalized coordinates, is obtained. For small-amplitude swing the above system becomes a linear differential system. The eigenvalues and eigenvectors constitute the eigenfrequencies and the modeshapes, respectively, of the free swing of the considered compound pendulum. Also, relations are extracted which ensure a unique swing with no relative rotation between any two disks. Finally, several numerical results are given. © 1991. (EN)


Mathematical Techniques--Eigenvalues and Eigenfunctions (EN)
Dynamics (EN)
Open Chain Systems (EN)
Equations of Motion (EN)
Dynamic Analysis (EN)
Lagrange Equations of Motion (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Computers and Structures (EN)



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