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Wave characteristics of nonsymmetric cross-ply laminated composite beams

机译:非对称交叉层层压复合梁的波浪特性

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摘要

The free vibration characteristics of a nonsymmetric cross-ply laminated composite beam coupled in bending and longitudinal deformation is studied using a wave approach. The effects of shear deformation and rotary inertia are included in the analysis. Exact analytical expressions are derived for the natural frequencies, mode shapes, and the power flow of the propagating waves. The derived expressions are validated using the results from past literature and provide a benchmark for numerical models. The advantages of the wave approach over conventional free vibration analysis methods are highlighted. Specifically, the wave approach is used to derive a simplified expression for the mode count function of the composite beam. Additionally, the wave approach is also used to investigate the power flow and cross-conversion of the propagating wavetypes across various classical boundary conditions. The influence of the number of cross-ply layers on the natural frequencies and power flow are also investigated. The efficacy of the wave analysis is illustrated through several numerical examples.
机译:使用波方法研究了在弯曲和纵向变形中耦合的非对称交叉层叠复合梁的自由振动特性。剪切变形和旋转惯性的影响包括在分析中。用于自然频率,模式形状和传播波的功率流来导出精确的分析表达式。使用过去文献的结果验证衍生的表达式,并为数字模型提供基准。突出了传统自由振动分析方法的波接近的优点。具体地,波方法用于导出复合光束的模式计数函数的简化表达式。另外,波方法还用于研究传播波纹跨各种经典边界条件的动力流和交叉转换。还研究了交叉层数对自然频率和功率流量的影响。通过几个数值示例说明了波分析的功效。

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