Dynamic plastic response of rectangular plates with plastic energy dissipation by membrane force
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摘要: 从能量的观点在小挠度理论中引入表征膜力塑性耗散效应的修正因子,基于刚性板块的总体平衡给出矩形板大挠度塑性动力响应的完全运动方程组,分析了理想刚塑性简支和固支矩形板在矩形脉冲和冲击载荷下包括移行塑性铰相的完全大挠度响应过程。解决了当矩形板的挠度达到厚度量级时弯矩、膜力的联合作用问题,理论预报的结果在板的挠度为10倍板厚的量级与实验结果符合良好,改进了只考虑弯矩作用的小挠度理论结果和模态近似估计。Abstract: By reckoning the plastic dissipation by membrane force induced by finite deflection, a modifying factor is introduced into the bending-only theory to formulate the governing equations of dynamic plastic response of rectangular plates with deflections where bending moment and membrane force are both important. Based on a kinematically admissible, time-dependent velocity field, a complete theoretical investigation is undertaken to trace the finite deflection response of simply-supported or fully-clamped rigid-plastic rectangular plates to a rectangular pulse or impulsive loading. The present prediction on the final plate deflection agrees well with the corresponding experimental results for deflections up to about 10 times of the plate thickness. This theoretical treatment improves the estimates from the bending-only theory greatly and provides a complete response (including the transient phase) analysis of the rectangular plates, the predictions are much more reliable than the previous mode approximation.
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