TECHNICAL NOTES
Aug 16, 2004

Analytical Solution of Direct Dynamics Problem in Cylindrical Coordinates

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 Fr and tangential force Fθ are solved. The analytical solution for the case of variable radial force Fr=-kr and the constant tangential force Fθ 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).

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 130Issue 9September 2004
Pages: 1115 - 1117

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, Uludagˇ. Univ., Görükle, 16059 Bursa, Turkey.
İbrahim Güney
Associate Professor, Dept. of Mathematics, Faculty of Science, Uludagˇ. Univ., Görükle, 16059 Bursa, Turkey.
Gültekin Karadere
Assistant Professor, PhD, Dept. of Mechanical Engineering, Engineering Faculty, Uludagˇ. Univ., Görükle, 16059 Bursa, Turkey.

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