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Stability of variable stiffness composite laminates under compressive and shearing follower forces

机译：压缩和剪切从动力下可变刚度复合层压板的稳定性

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Dynamic stability characteristics of variable stiffness composite rectangular panels subjected to non-conservative compressive or shear follower loads are investigated here using the shear-deformable finite element method. At the beginning, the veering of modal frequencies are studied by the eigenvalue analysis to classify the divergence and flutter type of instabilities and evaluate the critical loads for isotropic and variable stiffness composite plates under both types of follower forces. Thereafter, the governing finite element equations are reduced into a set of Mathieu-Hill equations employing the modal transformation technique and the method of multiple scales is used to determine the regions of instability of composite laminates under pulsating follower forces. Limited numerical examples are presented to demonstrate the simple and combination (additive/difference) type of parametric instabilities of edge supported and cantilever panels with curvilinear fibers under compressive or shear pulsating follower forces.
机译：这里使用剪切可变形的有限元法在此研究经受非保守压缩或剪切从动载荷负载的可变刚度复合矩形面板的动态稳定性特性。在开始时，通过特征值分析研究了模态频率的转向，以分类缺陷和颤动类型的不稳定性，并在两种类型的跟随力下评估各向同性和可变刚度复合板的临界载荷。此后，控制有限元方程被减少到采用模态变换技术的一组Mathieu-Hill方程，并且使用多个尺度的方法来确定脉动从动力下的复合层压板的不稳定性区域。提出了有限的数值示例以证明具有在压缩或剪切脉动从动力的压缩或剪切脉冲力下的曲线纤维的边缘支撑和悬臂面板的简单和组合（添加剂/差）类型的参数型。

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