복합체 판의 동적 변분 점근적 해석

Abstract

The classical dynamic plate analysis which is constructed with the first approximation displacement is not suitable for dynamic laminated composite plate analysis. To improve dynamic plate analysis in asymptotic sense, an order of time scale should be same as an order of characteristic wavelength. By different order of time scale, internal degrees of freedom can be introduced by solving eigenvalue problem in the primary approximation procedure of VAM. The asymptotically correct energy functional to a first approximation can be constructed with internal degrees of freedoms in long-wavelength regime. To solve mathematical problem of energy functional and expand wavelength regime, the independent logical transformation step is performed by hyperbolic short-wavelength extrapolation. A few examples available in literature are used to demonstrate the present theory by dispersion curves and frequency spectra.