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A method for selection of structural theories for low to high frequency vibration analyses

Sadeghmanesh, M ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1016/j.euromechsol.2019.01.004
  3. Publisher: Elsevier Ltd , 2019
  4. Abstract:
  5. Energy methods such as Energy Flow and Statistical Energy Analyses have been popularly used to predict the medium to high frequency vibro-acoustic response of several structures. In these energy methods, usually the common simple structural theories are used for simplicity. Since, the effects of shear deformation and rotary inertia at high frequency regions are unavoidable, it is necessary to determine the validity of these theories in each frequency domain. This paper aims to propose a method for defining a criteria to select a proper structural theory based on the order of shear deformation and rotary inertia to be used in vibration analyses. Several common as well as higher-order beam theories are chosen as test examples to derive and compare the key wave parameters to evaluate the effects of shear deformation and rotary inertia for wave propagation in near-field and far-field regions. Based on the results, a new classification of the frequency range is introduced for selecting an appropriate beam theory and commensurate method for wave propagation and vibration analyses. The same method can be used for other structures to define a proper structural theory based on shear deformation and rotary inertia terms for low to high frequency vibration analyses
  6. Keywords:
  7. Cut-off frequency ; High-frequency vibration ; Higher-order shear deformation beam theories ; Wave parameters ; Acoustics ; Frequency domain analysis ; Shear deformation ; Shear flow ; Wave propagation ; High frequency vibration ; High-Frequency regions ; Higher-order beam theories ; Statistical energy analysis ; Structural theories ; Vibro acoustic response ; Vibration analysis
  8. Source: European Journal of Mechanics, A/Solids ; Volume 75 , 2019 , Pages 27-40 ; 09977538 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0997753818303036