This paper concerns in-plane vibration analysis of coupled bending and longitudinal vibrations in L-shaped and portal planar frame structures. An exact analytical solution is obtained using wave vibration approach. The classical Euler-Bernoulli as well as the advanced Timoshenko bending theories are applied in modeling the flexural vibrations in planar frames. Reflection and transmission matrices corresponding to incident waves arriving at the “L” joint from various directions are obtained. A concise and systematic approach to both free and forced vibration analysis of coupled bending and longitudinal vibrations in L-shaped and portal planar frame structures is presented. Results are compared to the Euler-Bernoulli model results available in the literature. Good agreements have been reached.
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April 2012
Research Papers
Wave Analysis of In-Plane Vibrations of L-Shaped and Portal Planar Frame Structures
C. Mei
C. Mei
Department of Mechanical Engineering,
e-mail: cmei@umich.edu
The University of Michigan-Dearborn
, 4901 Evergreen Road, Dearborn, MI 48128
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C. Mei
Department of Mechanical Engineering,
The University of Michigan-Dearborn
, 4901 Evergreen Road, Dearborn, MI 48128e-mail: cmei@umich.edu
J. Vib. Acoust. Apr 2012, 134(2): 021011 (12 pages)
Published Online: January 18, 2012
Article history
Received:
January 13, 2010
Accepted:
July 12, 2011
Online:
January 18, 2012
Published:
January 18, 2012
Citation
Mei, C. (January 18, 2012). "Wave Analysis of In-Plane Vibrations of L-Shaped and Portal Planar Frame Structures." ASME. J. Vib. Acoust. April 2012; 134(2): 021011. https://doi.org/10.1115/1.4005014
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