| Summary: | 碩士 === 中原大學 === 機械工程研究所 === 105 === Abstract
In this study, consider a Timoshenko beam based on the functionally graded material, to analyze the natural frequency with several different materials. First , we derive the equations 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, then apply Runge-Kutta method to obtain the Relationship of amplitude ratio verse time. Each has a different . Finally compare natural frequency with natural frequency .
Keyword: Timoshenko beam, functionally graded material, natural frequency, free vibration
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