矩形板の後座屈挙動および塑性座屈解析への動的緩和法の適用

概要

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Derivation of stable equilibrium paths of a elastic rectangular plate may require the huge amount of calculation to evade the singular points on it. Moreover, the combination of structual instability and plasticity of materials offers the complicated problems in the procedure of numerical calculations. For example, when a rectangular plate subject to the uniform enforced displacement, the plastic buckling occurs, and after that, the deformation modes are localized. The dynamic relaxation method (DRM) is expected to give the stable equilibrium solution as a stationary value of the dynamic ploblems of damped free vibration. Thus, this DRM will give us the realistic and unique solution of equilibrium state by overcoming the singular points and material nonlinearity. In this paper, the plastic buckling and post-buckling analyses eliminating the numerical "Strain Reversal Phenomena" are carried out to investigate the applicability of DRM.
木更津工業高等専門学校の論文