A theoretical model to study the flexural vibration of a bonded lap joint system is described in this paper. First, equations of motion at the joint region are derived using a differential element approach. The transverse displacements of the upper and lower beam are considered to be different. The adhesive is assumed to be linearly viscoelastic and the widely used Kelvin-Voight model is used to represent the viscoelastic behavior of the adhesive. The shear force at the interface between the adhesive and the beam is obtained from the simple bending motion equations of the two beams. The resulting equations of motion are combined with the equations of transverse vibration of the beams in the unjointed regions. These are later solved as a boundary value problem to obtain the eigenvalues and eigenvectors of the system. The model can be used to predict the natural frequencies, modal damping ratios, and mode shapes of the system for free vibration. Good agreement between numerical and experimental results was obtained for a system of graphite epoxy beams lap-jointed by an epoxy adhesive.
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October 1990
Research Papers
Analytical and Experimental Study of the Vibration of Bonded Beams With a Lap Joint
M. D. Rao,
M. D. Rao
Department of Mechanical Engineering-Engineering Mechanics, Michigan Technological University, Houghton, MI 49931
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M. J. Crocker
M. J. Crocker
Department of Mechanical Engineering, Auburn University, Auburn, AL 36849
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M. D. Rao
Department of Mechanical Engineering-Engineering Mechanics, Michigan Technological University, Houghton, MI 49931
M. J. Crocker
Department of Mechanical Engineering, Auburn University, Auburn, AL 36849
J. Vib. Acoust. Oct 1990, 112(4): 444-451 (8 pages)
Published Online: October 1, 1990
Article history
Received:
November 1, 1989
Online:
June 17, 2008
Citation
Rao, M. D., and Crocker, M. J. (October 1, 1990). "Analytical and Experimental Study of the Vibration of Bonded Beams With a Lap Joint." ASME. J. Vib. Acoust. October 1990; 112(4): 444–451. https://doi.org/10.1115/1.2930127
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