函數級化尤拉樑之大振幅振動分析

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

黃書賢(Huang, Shu-Hsien)

指導教授 ： 施延欣

中原大學/工學院/機械工程研究所/碩士(2018年)

https://doi.org/10.6840/cycu201800875

摘要

在本文中考慮函數級化的尤拉樑，探討其在均勻材料下的大振幅振動分析。先利用漢米爾頓(Hamilton)原理求得其運動方程式與邊界條件，再以滿足邊界條件的模態函數，利用Galerkin’s method 將運動方程式簡化為以時間為變數的方程式，然後利用 Runge-Kutta 的數值方法求得振幅與時間的關係圖，並以此計算及自然頻率。

關鍵字

尤拉樑 ； 大振幅

並列摘要

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.

並列關鍵字

Clamped-Clamped Beam ； Large Amplitude Vibration

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