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A geometrically exact formulation for thin multi-layered laminated composite plates: Theory and experiment

机译：多层薄层压复合板的几何精确公式：理论和实验

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摘要

A geometrically exact approach is employed to formulate the equations of motion of thin multi-layered isotropic and laminated composite plates subject to excitations that cause large strains, displacements, and rotations. The linearization of the obtained semi-intrinsic theory leads to the Mindlin-Reissner theory while an ad hoc truncated kinematic approximation delivers, as a by-product, the Foppl-von Karman theory of plates. An experimental validation is sought for fully clamped plates which are either of the isotropic single-layered type or of the multi-layered laminated composite type. To this end, nonlinear equilibrium paths are constructed both theoretically and experimentally when the plates are subject to a quasi-statically increasing central point load. The comparisons between the experimentally obtained results and those furnished by the geometrically exact theory as well as by the Foppl-von Karman (FVK) theory show the high accuracy of the proposed nonlinear theory while the FVK theory becomes increasingly inaccurate at deflection amplitudes of the order of the plates thickness.
机译：采用几何上精确的方法来公式化薄薄的多层各向同性和层压复合材料板的运动方程，这些板受到引起大应变，位移和旋转的激励。所获得的半本征理论的线性化导致了Mindlin-Reissner理论，而特设的截断运动学近似作为副产品提供了Foppl-von Karman板理论。对于各向同性单层类型或多层层压复合材料类型的完全夹紧的板，寻求实验验证。为此，当板承受准静态增加的中心点载荷时，将在理论和实验上构建非线性平衡路径。实验获得的结果与几何精确理论以及Foppl-von Karman（FVK）理论提供的结果之间的比较表明，所提出的非线性理论具有很高的准确性，而FVK理论在阶跃偏转振幅下变得越来越不准确板的厚度。

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