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Free Flexural Vibration Analysis Of Symmetric Rectangular Honeycomb Panels Using The Improved Reddy's Third-order Plate Theory

机译:基于改进的雷迪三阶板理论的对称矩形蜂窝板自由弯曲振动分析

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The free flexural vibration of symmetric rectangular honeycomb panels is investigated in this paper using the improved Reddy's third-order theory. Reddy's third-order theory provides a parabolic distribution of the transverse shear stresses in the thickness direction and represents a close approximation to the true shear strain distribution for a shallow single-layer plate. However, for the case of multilayered laminates, the continuity condition on the inter-laminar shear stresses implies a piecewise continuous shear strain distribution in the thickness direction. To accommodate the effect of the continuity condition of inter-laminar transverse shear stresses, the shear correction factors are introduced to modify the shear strains in the Reddy's third-order theory. The shear correction factors are calculated using an iterative formulation based on the shear strain energy equivalence. The improved Reddy's third-order theory coupled with shear correction factors in predicting free flexural vibration of symmetric honeycomb panels is examined by being compared with the experimental value and the finite element analyses based on three-dimensional models.
机译:本文利用改进的雷迪三阶理论研究了对称矩形蜂窝板的自由弯曲振动。雷迪的三阶理论提供了沿厚度方向的横向剪应力的抛物线分布,并代表了近似于单层浅板的真实剪应变分布。但是,对于多层层压板,层间剪切应力的连续性条件意味着在厚度方向上的分段连续剪切应变分布。为了适应层间横向剪切应力的连续性条件的影响,在Reddy的三阶理论中引入了剪切校正因子以修改剪切应变。剪切校正因子是基于剪切应变能量当量使用迭代公式计算的。通过与实验值和基于三维模型的有限元分析进行比较,检验了改进的雷迪三阶理论和剪切校正因子在预测对称蜂窝板自由弯曲振动中的作用。

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