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Optimum design of composite laminates for frequency constraints

机译：针对频率限制的复合层压板的优化设计

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摘要

A method for minimum thickness multilayer rectangular composite laminates is presented which is based on a layerwise optimization procedure under natural frequency limitations. In this method, all types of boundary conditions and their combinations can be taken into account. Analysis is based on the Ritz approximations, and no limitations exist on the number of layers that can be considered or the plate's aspect ratio. Coupling of flexural and torsional stiffness terms need not be zero in any of the cases. Optimization constraints can be either limits on the fundamental frequency or separation between two natural frequencies. Hybrid combination of layers is also made possible in order to enhance the laminate economy, and a short cut procedure is recommended to save total computational efforts.rnExamples are offered that illustrate the method's capabilities, and the results are verified by comparison to some published ones.
机译：提出了一种最小厚度的多层矩形复合材料层压板的方法，该方法基于固有频率限制下的分层优化程序。在这种方法中，可以考虑所有类型的边界条件及其组合。分析基于Ritz近似值，对可以考虑的层数或板的纵横比没有限制。弯曲刚度项和扭转刚度项的耦合在任何情况下都不必为零。优化约束可以是对基本频率的限制，也可以是两个固有频率之间的间隔。为了提高层压板的经济性，还可以进行层的混合组合，并建议使用简化程序以节省总的计算量。提供了一些示例来说明该方法的功能，并通过与一些已发表的示例进行比较来验证结果。

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