Experimental Analysis of Impact-Damped Flexible Beams
Publication: Journal of Engineering Mechanics
Volume 123, Issue 4
Abstract
Statistical analysis of the phenomenon of impact damping is performed on 60 steady-state vibration tests of a flexible beam to relate the system's modal damping to system parameters. Compared with other measures of effectiveness of the impact damper, modal damping ratios are useful in predicting the response of continuous systems under arbitrary forcing functions. Contour plots show that the modal damping ratio is nonlinearly dependent on the damper's mass and gap. However, these are not the only parameters that control the effectiveness of the impact damper. Multiple nonlinear regression analysis of the data is used to test the dependence of the system's modal damping on a number of parameters. It is hypothesized that the system's parameters are the mass and gap of the impact damper, the excitation frequency, the peak of the frequency response function, and the modal amplitude at the location of the impact damper. Multiple nonlinear regression analysis shows the validity of the hypothesis and the ability of the derived formula to predict the modal damping ratio of the beam.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Brown, G. V., and North, C. M. (1987). “The impact damped harmonic oscillator in free decay.”NASA Tech. Memo. 89897, Nat. Aeronautics and Space Admin., Washington, D.C.
2.
Chalmers, R., and Semercigil, S. E.(1991). “Impact damping the second mode of a cantilever beam.”J. Sound and Vibration, 146(1), 157–161.
3.
Edwins, D. J. (1986). Modal testing: theory and practice. Research Studies Press Ltd., Letchworth, England.
4.
Halpin, D. B. (1994). Modal special studies packet—preliminary tests of the impact damper test article. Vibration and Acoustic Test Fac., NASA Johnson Space Ctr., Houston, Tex.
5.
Masri, S. F. (1970). “General motion of impact dampers.”J. Acoustical Soc. of Am., 47(Part 2), 229–237.
6.
Masri, S. F.(1973a). “Steady-state response of a multidegree system with an impact damper.”J. Appl. Mech., 40(1), 127–132.
7.
Masri, S. F.(1973b). “Forced vibration of nonlinear dissipative beams.”J. Engrg. Mech., ASCE, 99(4), 669–683.
8.
Masri, S. F., and Kahyai, K.(1974). “Steady-state motion of a plate with a discontinuous mass.”Int. J. Nonlinear Mech., 9, 451–462.
9.
Nigm, M. M., and Shabana, A. A.(1983). “Effect of an impact damper on a multi-degree of freedom system.”J. Sound and Vibration, 89(4), 541–557.
10.
Roy, R. K., Rouche, R. D., and Foster, J. E.(1975). “The application of impact dampers to continuous systems.”J. Engrg. for Industry, 97(4), 1317–1324.
11.
Yousef, S., and Akl, F. (1988). “Forced vibration analysis of a slender stack equipped with sliding and pendulum impact dampers.”Developments in theoretical and applied mechanics, Vol. 14, University of Mississippi, Oxford, Miss., 433.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 123 • Issue 4 • April 1997
Pages: 376 - 383
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Apr 1, 1997
Published in print: Apr 1997
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.