Free response of twisted plates with fixed support separation

Eric M. Mockensturm, C. D. Mote

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

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-fat 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.

Original languageEnglish (US)
Pages (from-to)175-180
Number of pages6
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume123
Issue number2
StatePublished - Apr 2001

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanical Engineering
  • Mechanics of Materials
  • Acoustics and Ultrasonics

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