Large Amplitude Vibration Analysis of Clamped-Clamped Beam with Functionally Graded Material

碩士 === 中原大學 === 機械工程研究所 === 106 === In this study, consider a functionally graded Euler’s beam based on graded material, to analyze the natural frequency with several different materials. First, we derive the equation of motion and boundary conditions by Hamilton’s principle, and then use the Galerk...

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Bibliographic Details
Main Authors: Huang, Shu-Hsien, 黃書賢
Other Authors: SHIH, YAN SHIN
Format: Others
Language:en_US
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/22xvqw
Description
Summary:碩士 === 中原大學 === 機械工程研究所 === 106 === In this study, consider a functionally graded Euler’s beam based on graded material, to analyze the natural frequency with several different materials. First, we derive the equation of motion and boundary conditions by Hamilton’s principle, and then use the Galerkin’s method to reduce the equations of motion to ordinary differential equations, finally apply Runge-Kutta method to obtain the Relationship of amplitude and time.