Abstract
A new method of vibration analysis of continuous bodies is presented. In the method, the domain to be analyzed is divided into several subdomains. Analytical solutions are used for subdomains which have regular shapes but the FEM is used for irregularly shaped subdomains. The analytical solutions are transformed into relations between generalized forces and generalized displacements at nodal points located on the boundaries of the regular subdomains. This transformation is based on a type of energy method and concentrating stresses or flux. The resulting relations have the same forms as those of the FEM. Therefore, the solutions for the regular subdomains can be joined directly to the FEM solutions for the irregular subdomains. As simple examples, some two-dimensional acoustic problems are analyzed by this method. It is confirmed that the method brings about more accurate results and shorter computational time in comparison with the FEM only.
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Schedule a callMore From: JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
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