This communication aims to initiate an investigation towards understanding the influence that fibre bending stiffness has on the three-dimensional dynamic behaviour of fibrous composites with embedded functionally graded stiff fibres. In this context, it (i) formulates the general dynamical problem of a rectangular plate with embedded a single family of straight fibres that possess bending resistance and are distributed in a controlled, functionally graded manner through the plate thickness, and (ii) for simple support boundary conditions, it solves the free relevant vibration problem. The problem formulation is based on principles of polar linear elasticity and leads to a high-order set of Navier-type partial differential equations with variable coefficients. For simply supported edge boundaries, solution of these equations is achieved with the use of a computationally efficient semi-analytical (so-called fictitious layer) mathematical method. Two types of possible inhomogeneous distributions of straight fibres are considered for computational and numerical result presentation purposes. These are both regarded as possible, realistic types of inhomogeneous redistributions of stiff fibres that in previous studies have been assumed homogeneously distributed throughout the plate body. The presented numerical results examine to a considerable extent the manner that either of the employed types of inhomogeneous fibre redistribution, in conjunction with the fibre ability to resist bending, affects the dynamic behaviour of the fibrous composite plate of interest.

该交流旨在启动一项研究，以了解纤维弯曲刚度对具有嵌入功能梯度硬质纤维的纤维复合材料的三维动态行为的影响。在这种情况下，它（i）提出了一个矩形板的一般动力学问题，该矩形板嵌入了具有抗弯性并以可控制的，功能梯度的方式分布在整个板厚度中的单个直纤维家族，以及（ii）为简单起见支持边界条件，它解决了自由相关的振动问题。问题的制定是基于极线弹性原理，并导致了具有可变系数的高阶Navier型偏微分方程组。对于简单支持的边缘边界，这些方程的解是通过使用计算效率高的半分析（虚拟层）数学方法来实现的。考虑到计算和数值结果表示的目的，考虑了两种类型的直纤维可能的不均匀分布。这些都被认为是可能的，现实类型的硬质纤维的不均匀再分布，在先前的研究中已假定它们均匀分布在整个板体内。给出的数值结果在相当程度上检验了所采用的两种类型的不均匀纤维再分布以及纤维抵抗弯曲的能力会影响所关注的纤维复合板的动力性能的方式。