등방성 균질 빔의 동적 변분점근 해석

Abstract

Many studies have been done continuously to accurately predict the dynamic behavior of beam-like structure with arbitrary cross-section. But the classical beam theory is not appropriate in this regard. Therefore, the development of more sophisticated one-dimensional theory is an important task. We want to develop a new beam model which can predict and analyze mechanical behavior with good agreement. Therefore, we use Variational-Asymptotic method to represent physical phenomena without losing physical characteristic, and short-wave extrapolation is used to compensate for problems that may arise as the degrees of freedom are added. Intrinsic form are used to compactly describe the formulae. This constructed beam model forms an improved one-dimensional beam analysis model based on dispersion information. DVABS which is based on present theory has been coded to perform numerical analysis procedure. This can provide to represent dispersion curves depending on the internal degrees of freedom for arbitrary cross section and allows the selection of the optimal one-dimensional variables for approximate beam model through comparison with the three-dimensional finite element method. Present theory of optimal selection can be seen that the dispersion curve representing dynamic behavior is well represented and efficient.