Transactions of the Korean Society of Automotive Engineers (한국자동차공학회논문집)

The Korean Society of Automotive Engineers (한국자동차공학회)
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Rayleigh Method and Ritz Method

Rayleigh 방법과 Ritz 방법

  • 박보용 (인천대학교 공과대학 기계공학과)
  • Received : 2008.12.09
  • Accepted : 2009.03.09
  • Published : 2009.07.01
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Abstract

Leissa claimed in his article that the Rayleigh method is not the same as the Ritz method for determining natural frequencies and its corresponding mode shapes and contended that Rayleigh's name should not be attached to the method. The present article examines the methods in viewpoint of admissible functions and its minimization process, and of the historical developments. It concludes that Leissa's assertion is relevant, although Rayleigh did apply a conceptual theory systematized from the Lagrange method, and given 38 years earlier than Ritz's 'masterly exposition of theory'.

Keywords

References

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