Analytical resolution to dynamic buckling of rectangular thin plates withone edge clamped and the other three edges simply supported

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (2) : 140-142.

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Analytical resolution to dynamic buckling of rectangular thin plates withone edge clamped and the other three edges simply supported

HAN Da-wei, WANG An-wen

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Abstract

Based on twin-characteristic-parameter method and stress wave theory, dynamic buckling displacements of rectangular thin plates with one edge clamped and the other three edges simply supported subject to axial in-plane impact are obtained analytically by solving the equations for dynamic balance with a supplementary restraint-equation at the compression-wave front. In the dynamic buckling process of the rectangular thin plate, the relations of its thickness-width rate, the amplitude of impulsive loads, buckling modes and critical buckling length are found out. The results indicate that, for the existance of transverse inertia effect, the critical load of dynamic buckling is much bigger than that of static buckling.

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dynamic buckling / rectangular thin plate / twin-characteristic-parameter method / analytical solution / stress wave

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HAN Da-wei;WANG An-wen. Analytical resolution to dynamic buckling of rectangular thin plates withone edge clamped and the other three edges simply supported[J]. Journal of Vibration and Shock, 2013, 32(2): 140-142