| Summary: | 碩士 === 大同大學 === 機械工程研究所 === 91 === This research is concentrated on the isotropy circular plates of the fixed outer diameter after being exercised with arbitrary in-plane forces; and then, we adopt the partial differential characteristic equations of Galerkin method to deduce the responding frequency approximations, together with the best solution to figure out the sensitivity of the tension against responding frequency. The arbitrary in-plane forces can be unfolded to the type of Fourier Series and also converted into non-dimension in-plane stress equation to be calculated into the governing equation of circular plates with the resultant theoretically responding frequencies. When comparing the responding frequency values from both theory deduction and experiments, we also modify the Fourier series parameters hypothesized by theory to result in the congruence between experimental and theoretical responding frequencies.
Within this research, we will apply the eigen-sensitivity methods to the searching of the sensitivity parameters for the forces against responding frequencies so that it can shorten the duration to search the parameters of Fourier series. Also, when it exists in the congruence between theory and experiment, we come to understand the magnitude and distributing shapes of the in-plane forces. We can adopt the Modal Assurance Criterion (MAC) to identify the vibration types of various modes from both experiment and theory by mode shapes.
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