Vibration of plates with a power-law-profiled thickness variation by wavelet decomposed Rayleigh-Ritz method

Li Ma, Su Zhang, Li Cheng

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

This paper presents a highly accurate 2-D semi-analytical model for the vibration analyses of a plate with a power-law-profiled thickness variation. Based on the Rayleigh-Ritz method, Daubechies scaling functions are chosen as the admission functions. To validate the proposed model, convergence studies are carried out for different support lengths of the scaling functions. Validation studies on modal analyses and forced vibration analyses are performed and compared with FEM. Investigations show that the use of Daubechies wavelet functions allows enhancing the effectiveness of the Rayleigh-Ritz method to reach the mid-to-high frequency range. More specifically, the proposed model is able of predicting the first 100 modes accurately. Further studies using damping layers are carried out to illustrate the effectiveness of the power-law-profiled plates for vibration reductions.
Original languageEnglish
Title of host publicationINTER-NOISE 2017 - 46th International Congress and Exposition on Noise Control Engineering: Taming Noise and Moving Quiet
PublisherInstitute of Noise Control Engineering
Publication statusPublished - 1 Jan 2017
Event46th International Congress and Exposition on Noise Control Engineering: Taming Noise and Moving Quiet, INTER-NOISE 2017 - Hong Kong Convention and Exhibition Centre (HKCEC), Hong Kong, Hong Kong
Duration: 27 Aug 201730 Aug 2017

Conference

Conference46th International Congress and Exposition on Noise Control Engineering: Taming Noise and Moving Quiet, INTER-NOISE 2017
CountryHong Kong
CityHong Kong
Period27/08/1730/08/17

Keywords

  • 2-D semi-analytical model
  • Daubechies scaling functions
  • Power-law-profiled plates
  • Rayleigh-Ritz method

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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