Free Vibration Analysis of Cantilever Rectangular Plates with Variable Thickness

Mei Huang; Yu Xu; Bo Cao

doi:10.4028/www.scientific.net/AMM.130-134.2774

Paper Titles

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Study on Changes of Metal Chemical Composition by Abrasive Wear of Alfalfa Powder
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Analysis of the Tire Temperature Distribution Based on Tests
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A Novel Method of High Frequency Weak Signal Detection Based on Chaotic Oscillator System and Wavelet Transform System
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Free Vibration Analysis of Cantilever Rectangular Plates with Variable Thickness
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No-Load Analysis of Permanent Magnet Spring Nonlinear Resonant Generator for Human Motion Energy Harvesting
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Modeling of Rope Longitudinal Vibration on Flexible Hoisting System with Time-Varying Length
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The Research of Vibration Characteristic about Sucker Rod String
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Use of Taguchi Method to Optimize the Operating Parameters of a High-Pressure Injector Driving Circuit
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 130-134Free Vibration Analysis of Cantilever Rectangular...

Free Vibration Analysis of Cantilever Rectangular Plates with Variable Thickness

Abstract:

A new method-mixed boundary grid method (FBGM) is proposed to analyze the free vibration of cantilever plates with variable thickness. The fundamental differential equations of the plate are established for the bending problem. By transforming these equations into integral equations in a small area and using the trapezoidal rule of the approximate numerical integration, the solution of these equations is obtained and chosen as Green function to obtain the characteristic equation of the free vibration. The accuracy of the numerical results for the natural frequency parameter calculated by the proposed method is investigated.