Predication of Peak Acceleration of One Degree of Freedom Structures by Scaling Law
Publication: Journal of Structural Engineering
Volume 131, Issue 4
Abstract
Acceleration responses of structures with one degree of freedom (1-DOF) under shocks are investigated based on Buckingham’s theorem of nondimension. The nondimensional parameters are determined based on equations of motion for the forced vibration of a mass-support system with 1-DOF. The acceleration responses of structures under possible excitations such as continuous sine wave excitations, single half-sine wave excitations, a train of half-sine wave excitations, and earthquake-like motion excitations are predicated by a numerical scheme. A model structural experiment is developed and carried out to validate the above numerical results. They agree with each other very well for all of the excitations. The scaling law is shown to be applicable for frequencies other than the resonance frequencies.
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Acknowledgment
This work was funded by the Defence Science & Technology Agency of Singapore.
References
Dente, J. V., McCutchon, J. L., and Jain, A. K. (1995). “Vibration qualification of commercial computers for use in military tactical environments,” Proc., 41st Annual Technical Meeting of the Institute of Environmental Sciences, Anaheim, Calif.
Gatti, P. L., and Ferrari, V. (1999). Applied structural and mechanical vibrations, E&FN Spon, New York.
Gerald, C. F., and Wheatley, P. O. (1999). Applied numerical analysis, 6th Ed., Addison-Wesley, Longman, New York.
Kumar, S., Itoh, Y., Saizuka, K., and Usami, T. (1997). “Pseudodynamic testing of scaled models.” J. Struct. Eng., 123(4), 524–526.
Lansmont Corporation (1990). Instruction manual for the Lansmount Model 65/81 shock test system.
Rezaeepazh, J., and Simitses, G. J. (1997). “Structural similitude for vibration response of laminated cylindrical shells with double curvature.” Composites, Part B, 28B, 195–200.
Rezaeepazhand, J., Simitses, G. J., and Starnes, J. H. (1995). “Use of scaled-down models for predicting vibration response of laminated plates.” Compos. Struct., 30, 419–426.
Sedov, L. I. (2000). Similarity and dimensional methods in mechanics, CRC, Boca Raton, Fla.
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© 2005 ASCE.
History
Received: Mar 26, 2003
Accepted: Aug 23, 2004
Published online: Apr 1, 2005
Published in print: Apr 2005
Notes
Note. Associate Editor: Barry Thomas Rosson
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