A unified procedure is proposed in this study to analyze the free and transient vibration behaviors of a composite laminated beam subjected to general boundary conditions under thermal scenario. A general theoretical quasi-3D shear deformation beam model incorporating both the shear deformation and thickness stretching effects is derived using the Hamilton's principle. The coupling of axial–shear–flexural–stretching with the thermal stress and the Poisson's ratio effect is taken into account. The natural frequencies, mode shapes and transient responses of composite laminated beams are evaluated analytically by the method of reverberation ray matrix (MRRM). The inhomogeneous term and the artificial spring boundary technique are introduced in MRRM to acclimatize itself to the general boundary conditions and the impulse loads of arbitrary distributions. The validity, reliability and efficiency of the proposed analytical solutions are verified by comparing with the results obtained from the published studies and finite element simulation. A considerable number of parametrical studies for the composite laminated beams with different elastic restraint parameters, lamination schemes, geometry parameters, material properties as well as various temperature rises are also analyzed and discussed. The present procedure is powerful in terms of its applicability for different high-order shape functions including polynomial and non-polynomial, as well as thin and thick beams subjected to arbitrary boundary conditions in practical engineering.

在这项研究中提出了一个统一的程序来分析在热情况下在一般边界条件下复合层合梁的自由和瞬态振动行为。利用汉密尔顿原理，推导了兼具剪切变形和厚度拉伸效应的一般理论准3D剪切变形梁模型。考虑了轴向剪切弯曲拉伸与热应力和泊松比效应的耦合。采用混响射线矩阵（MRRM）方法对复合叠层梁的固有频率，模态形状和瞬态响应进行了分析评估。MRRM中引入了不均匀项和人工弹簧边界技术，以使其适应一般边界条件和任意分布的脉冲载荷。通过与已发表的研究结果和有限元模拟结果进行比较，验证了所提出的分析解决方案的有效性，可靠性和有效性。对具有不同弹性约束参数，层压方案，几何参数，材料特性以及各种温升的复合层合梁的大量参数研究也进行了分析和讨论。就适用于多项式和非多项式（包括多项式，