波動方程式を利用した構造物の中・高周波数振動応答推定法に関する研究

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Large passenger ships have to be designed considering dynamic response of the middle and high frequency vibration sufficiently for good habitability. In the middle and high frequency domain, it is difficult to design avoiding resonance because of the high modal density. Therefore it is important for the designers to estimate vibration intensity level in the frequency domain. In the present paper, the estimation of the response of the middle-high frequency vibration has been focused. Finite element method (FEM), statistical energy analysis (SEA) or the wave equation method can be used to estimate the response of the vibration. FEM is widely used to estimate vibration in the low frequency domain, but in the middle-high frequency domain it is not suitable because of an excessive number of degrees of freedom. SEA is based on vibration power flow theory and also widely used in the acoustic problem, but the accuracy can not be necessarily expected in the frequency domain. The wave equation method is an alternative method to these methods. The governing equation of bending theory of beams is generally expected by the fourth order differential equation, but the response with the wave equation method is calculated by the second order differential equation, which is called wave equation. The response of the vibration is generally represented by the sum of an "evanescent" component and a "propagating" component, and the vibration response may be expressed approximately in terms of the propagating component alone. This propagating component satisfies the wave equation. Therefore solving the wave equation corresponds to solving only a propagating component. The accuracy of this method is better in the middle-high frequency domain. The purpose of the present paper is a confirmation of the validity of calculating the response in the middle-high frequency domain with the wave equation method and investigating the feasibility for the structures. Wave equation method has been applied to continuous beams, framed structures. Then the usefullness and limitation of the method has been examined.
2003-08-31

波動方程式を利用した構造物の中・高周波数振動応答推定法に関する研究

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