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An Improved Model for Bending of Thin Viscoelastic Plate on Elastic Foundation

机译:弹性基础上粘弹性薄板弯曲的改进模型

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An improved model for bending of thin viscoe-lastic plate resting on Winkler foundation is presented. The thin plate is linear viscoelastic and subjected to normal distributed loading, the effect of normal stress along the plate thickness on the deflection and internal forces is taken into account. The basic equations for internal forces and stress distribution are derived based on the general viscoelastic theory under small deformation condition. The reduced equations for elastic case are given as well. It is shown that the proposed model reveals a larger flex-ural rigidity compared to that in classic models, in which the normal stress along the plate thickness is neglected.
机译:提出了一种基于温克勒基础的粘弹性薄板弯曲的改进模型。薄板是线性粘弹性的,承受正态分布载荷,考虑了沿板厚度的法向应力对挠度和内力的影响。基于小变形条件下的粘弹性理论,推导出了内力和应力分布的基本方程。还给出了弹性情况的简化方程。结果表明,与经典模型相比,该模型具有更大的挠曲刚度,在经典模型中,沿板厚度的法向应力被忽略了。

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