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Research on Vibration Control of Thin Plate Based on Pre-Stressing

[+] Author Affiliations
Cheng Zhang, Jian-run Zhang, Xi Lu

Southeast University, Nanjing, China

Paper No. NCAD2018-6112, pp. V001T01A003; 7 pages
doi:10.1115/NCAD2018-6112
From:
  • ASME 2018 Noise Control and Acoustics Division Session presented at INTERNOISE 2018
  • ASME 2018 Noise Control and Acoustics Division Session presented at INTERNOISE 2018
  • Chicago, Illinois, USA, August 26–29, 2018
  • Conference Sponsors: Noise Control and Acoustics Division
  • ISBN: 978-0-7918-5142-5
  • Copyright © 2018 by ASME

abstract

The weak dynamic stiffness of thin plate is one of the important factors that limit the use of thin plate. Improving the dynamic stiffness of thin plate is one of the effective methods for the vibration control of thin plate. In this paper, the influence of pre-stress on the vibration characteristics of thin plate is studied. A vibration control method of thin plate based on pre-stress is proposed. The vibration differential equation of quadrate thin plate under pre-stressing is established. Using the Galerkin principle, the natural frequencies corresponding to the shape functions of the quadrate thin plates under pre-stressing in different distribution forms are obtained. By comparison, it is found that pre-stressing on the thin plate can change the dynamic stiffness of thin plate. In particular, tensile stress can increase the dynamic stiffness of thin plate while compressive stress can reduce the dynamic stiffness of the thin plate. The greater the pre-stress, the more obvious the effect. In the end, the requirements of the pre-stress distribution which can improve the dynamic stiffness of thin plate effectively are derived.

Copyright © 2018 by ASME

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