Analytical Solution of Direct Dynamics Problem in Cylindrical Coordinates
Authors: Yaşar Pala, İbrahim Güney, and Gültekin KaradereAuthor Affiliations
Publication: Journal of Engineering Mechanics
Volume 130, Issue 9
Abstract
In this study, the analytical solution of the direct dynamics problem that mostly requires some numerical techniques is developed for two important cases. In the first case, two coupled differential equations of the motion of a particle acted upon by the constant radial force and tangential force are solved. The analytical solution for the case of variable radial force and the constant tangential force is considered as a second stage. The present method is applied to some practical engineering problems.
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References
Ames, F. W. (1968). Nonlinear ordinary differential equations in transport process, Academic, New York, 23–85.
Hibbeler, R. C. (1995). Engineering mechanics: Dynamics, Prentice-Hall, Englewood Cliffs, N.J., 57–65, 125–129.
Pala, Y. (2000). Engineering dynamics, Gaye Publication, Turkey, 60–70 (in Turkish).
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Copyright © 2004 American Society of Civil Engineers.
History
Received: Jan 16, 2001
Accepted: Mar 24, 2004
Published online: Aug 16, 2004
Published in print: Sep 2004
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Authors
Affiliations
Yaşar Pala
Professor, PhD, Dept. of Mechanical Engineering, Engineering Faculty, Uluda. Univ., Görükle, 16059 Bursa, Turkey.
İbrahim Güney
Associate Professor, Dept. of Mathematics, Faculty of Science, Uluda. Univ., Görükle, 16059 Bursa, Turkey.
Gültekin Karadere
Assistant Professor, PhD, Dept. of Mechanical Engineering, Engineering Faculty, Uluda. Univ., Görükle, 16059 Bursa, Turkey.
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