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A lumped parameter model for exponentially tapered piezoelectric beam in transverse vibration

Fakharian, O ; Sharif University of Technology | 2019

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  1. Type of Document: Article
  2. DOI: 10.1007/s12206-019-0407-x
  3. Publisher: Korean Society of Mechanical Engineers , 2019
  4. Abstract:
  5. Tapered piezoelectric beams, because of their more efficiency to generate power, are required to be analyzed by simple models. In this paper, single degree of freedom (SDOF) relations are used to model transvers vibration of an exponentially tapered piezoelectric beam. For this purpose, first, response of the damped cantilevered Euler–Bernoulli beam with base excitation is obtained. Then, lumped parameters of the beam are extracted in order to calculate the SDOF model response. Comparing the Euler-Bernoulli beam model with the SDOF model shows that the lumped parameter model is not accurate enough to predict the beam’s response. Therefore, a tapering parameter dependent correction factor is introduced to adapt a reduced SDOF model. The results of some cases are reported and verified by test. It is concluded that in a tapered beams the accuracy of reduced SDOF model is increased for high tip mass values. © 2019, KSME & Springer
  6. Keywords:
  7. Exponentially tapered piezoelectric beam ; Reduced SDOF model ; Tapered dependent correction factor ; Transvers vibration ; Degrees of freedom (mechanics) ; Piezoelectricity ; Correction factors ; Euler-bernoulli beam models ; Lumped parameter modeling ; Piezoelectric beam ; SDOF models ; Single degree of freedoms ; Transverse vibrations ; Lumped parameter networks
  8. Source: Journal of Mechanical Science and Technology ; Volume 33, Issue 5 , 2019 , Pages 2043-2048 ; 1738494X (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s12206-019-0407-x