Abstract

The paper considers the problem of unacceptable dynamic error formation if the numerical simulation is performed by the finite element method. The research aim is to determine the validity limits and limitations on the application scope of the finite element method in the masters and PhD students research. The research method was based on the resonant frequencies comparative analysis of the finite element model and the acoustic model of typical design elements. At the research final stage was verified by experimental method the resonant frequency true value of the design element. Models differed by the number of finite elements. The acoustic model was created on the wave equation basis. The studies were obtained the following values of the dynamic error. For model 5 finite element error estimation the main resonant frequency of the rod exceeded 48%. For the model 100 finite elements and more error did not fall below 12%. The report also presents the dynamic error detailed analytical dependence on the number of the numerical modeling grid nodes.

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