Parametric Analysis of Transient Beam Behavior with Impact
Publication: Journal of Engineering Mechanics
Volume 137, Issue 11
Abstract
After any terrorist attack or natural disaster, more research focuses on the dynamic response of structures under unexpected loads. Extreme loads such as explosions and earthquakes can cause enormous human and infrastructure losses. Rotating machinery can also routinely experience internal contact. Unpredicted failure may be caused by vibration-induced impact and is highly dangerous for both equipment and safety. For these reasons, the investigation of these beamlike structures under extreme loads is of importance. In this study, an Euler-Bernoulli beam with adjustable boundary conditions and variable impact is numerically studied under shock loading. Modal analysis and discrete time step methods are programmed in MATLAB to obtain linear analytical solutions. The influential parameters of structural stiffness, material modulus, contact stiffness, contact location, and damping ratio are examined. Their effects on different boundary conditions will be contrasted as well. This efficient model contributes to a better fundamental understanding of impact and will serve as a building block on which to introduce additional phenomena, such as multiple point contact, large deflection theory, and plastic material behavior.
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Acknowledgments
This work was performed under BRIGE Grant NSF0824227 from the National Science Foundation.
References
Bao, S., Deng, Z., and Fan, C. (2008). “Analytical solution to impact between a particle and an Euler-Bernoulli beam.” Journal of Vibration and Shock, 27(1), 163–166.
Davies, H. G. (1980). “Random vibration of a beam impacting stops.” J. Sound Vib., 68(4), 479–487.
Ervin, E. K., and Wickert, J. A. (2007). “Repetitive impact response of a beam structure subjected to harmonic base excitation.” J. Sound Vib., 307(1–2), 2–19.
Falsone, G., and Muscolino, G. (2000). “Response of a beam-stop system under random excitations by an equivalent non-linearization approach.” Structures under Shock and Impact VI, N. Jones and C. A. Brebbia, eds., Vol. 8, WIT Press, Southampton, UK, 611–623.
Salmon, M. A., Verma, V. K., and Youtsos, T. G. (1985). “Elastic analysis of beam-support impact.” J. Pressure Vessel Technol., 107(1), 64–67.
Shaw, S. W., and Holmes, P. J. (1983). “A periodically forced piecewise linear oscillator.” J. Sound Vib., 90(1), 129–155.
van de Vorst, E. L. B., Heertjes, M. F., van Capen, D. H., de Kraker, A., and Fey, R. H. B. (1998). “Experimental and numerical analysis of the steady state behavior of a beam system with impact.” J. Sound Vib., 212(2), 321–336.
Yin, X. C., Qin, Y., and Zou, H. (2007). “Transient responses of repeated impact of a beam against a stop.” Int. J. Solids Struct., 44(22–23), 7323–7339.
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© 2011 American Society of Civil Engineers.
History
Received: Feb 24, 2010
Accepted: Jun 13, 2011
Published online: Jun 15, 2011
Published in print: Nov 1, 2011
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