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.

利用波浪方法研究了在弯曲和纵向变形中耦合的非对称交叉多层层压复合梁的自由振动特性。分析中包括剪切变形和旋转惯性的影响。对于固有频率，振型和传播波的功率流，可以得出精确的解析表达式。使用过去文献的结果对派生的表达式进行了验证，并为数值模型提供了基准。与常规的自由振动分析方法相比，波动法的优势得到了强调。具体而言，波方法用于导出复合梁的模数函数的简化表达式。此外，波动法还用于研究跨越各种经典边界条件的传播波型的功率流和交叉转换。还研究了交叉层数对固有频率和功率流的影响。通过几个数值示例说明了波浪分析的有效性。