In previous work, Mockensturm and Mote investigated the effects of twist on steady motions of an axially moving plate. It was found that twisting produces compressive stresses that increase with twist, aspect ratio, and initial, longitudinal tension. In this work, we study the effects of the stresses and non-flat equilibrium produced by twist on the free response. To accomplish this, the equations of motion are linearized about the equilibrium configuration, yielding a set of three, coupled, linear partial differential equations. The equations are discretized and the free response is predicted from the resulting discrete eigenvalue problem. As a function of twist angle, the natural frequencies first increase and then decrease rapidly to zero as the compressive lateral stresses become sufficiently large to cause wrinkling. The effects of thickness, aspect ratio, and initial tension on natural frequencies are also studied.
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April 2001
Technical Papers
Free Response of Twisted Plates with Fixed Support Separation
Eric M. Mockensturm, Assistant Professor,
Eric M. Mockensturm, Assistant Professor
Department of Mechanical & Nuclear Engineering, Pennsylvania State University, University Park, Pa 16802
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C. D. Mote,, Jr., President,
C. D. Mote,, Jr., President,
University of Maryland, College Park, MD 20742
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Eric M. Mockensturm, Assistant Professor
Department of Mechanical & Nuclear Engineering, Pennsylvania State University, University Park, Pa 16802
C. D. Mote,, Jr., President,
University of Maryland, College Park, MD 20742
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Oct. 1999; revised Sept. 2000. Associate Editor: R. P. S. Han.
J. Vib. Acoust. Apr 2001, 123(2): 175-180 (6 pages)
Published Online: September 1, 2000
Article history
Received:
October 1, 1999
Revised:
September 1, 2000
Citation
Mockensturm, E. M., and Mote, , C. D., Jr. (September 1, 2000). "Free Response of Twisted Plates with Fixed Support Separation ." ASME. J. Vib. Acoust. April 2001; 123(2): 175–180. https://doi.org/10.1115/1.1340626
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