Research Commons
      • Browse 
        • Communities & Collections
        • Titles
        • Authors
        • By Issue Date
        • Subjects
        • Types
        • Series
      • Help 
        • About
        • Collection Policy
        • OA Mandate Guidelines
        • Guidelines FAQ
        • Contact Us
      • My Account 
        • Sign In
        • Register
      View Item 
      •   Research Commons
      • University of Waikato Research
      • Science and Engineering
      • Science and Engineering Papers
      • View Item
      •   Research Commons
      • University of Waikato Research
      • Science and Engineering
      • Science and Engineering Papers
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Transient vibration analysis of a completely free plate using modes obtained by Gorman's superposition method

      Ilanko, Sinniah; Yusuke, Mochida
      Thumbnail
      Files
      Transient vibration analysis.pdf
      705.8Kb
      DOI
       10.1016/j.jsv.2009.11.029
      Find in your library  
      Citation
      Export citation
      Ilanko, S. & Yusuke, M. (2010). Transient vibration analysis of a completely free plate using modes obtained by Gorman's superposition method. Journal of Sound and Vibration, 329(10), 1890-1900.
      Permanent Research Commons link: https://hdl.handle.net/10289/3766
      Abstract
      This paper shows that the transient response of a plate undergoing flexural vibration can be calculated accurately and efficiently using the natural frequencies and modes obtained from the superposition method. The response of a completely free plate is used to demonstrate this. The case considered is one where all supports of a simply supported thin rectangular plate under self weight are suddenly removed. The resulting motion consists of a combination of the natural modes of a completely free plate. The modal superposition method is used for determining the transient response, and the natural frequencies and mode shapes of the plates used are obtained by Gorman's superposition method. These are compared with corresponding results based on the modes using the Rayleigh–Ritz method using the ordinary and degenerated free–free beam functions. There is an excellent agreement between the results from both approaches but the superposition method has shown faster convergence and the results may serve as benchmarks for the transient response of completely free plates.
      Date
      2010
      Type
      Journal Article
      Publisher
      Elsevier
      Rights
      This is an author’s accepted version of an article published in the journal: Journal of Sound and Vibration. © 2010 Elsevier Ltd.
      Collections
      • Science and Engineering Papers [3019]
      Show full item record  

      Usage

      Downloads, last 12 months
      162
       
       
       

      Usage Statistics

      For this itemFor all of Research Commons

      The University of Waikato - Te Whare Wānanga o WaikatoFeedback and RequestsCopyright and Legal Statement