Finite element formulation of damped laminated composite beam considering both Euler-Bernoulli and Timoshenko beam theory is proposed based on Equivalent Modulus Theory (EMT) and Direct Procedure Technique (DPT). An operator-based approach is employed to integrate viscoelastic behaviour which results to higher-order model. The viscoelastic parameters of composite material are extracted from frequency dependent storage and loss modulus plots on performing experiments in Dynamic Mechanical Analyser over fabricated samples of single layer and eight layers separately. The DPT uses material properties of eight-layer sample, while material properties of single lamina sample are utilised in EMT and stacking sequences are made mathematically. Numerical results predicted from both methods are compared, which proves the correctness of the EMT formulation. The uniqueness of this study lies in the application of the novel mathematical formulation which uses the material properties of just the single lamina, eliminating the need for fabricating the whole composite.

基于等效模量理论（EMT）和直接程序技术（DPT），提出了考虑欧拉-伯努利和蒂莫申科梁理论的阻尼层合复合梁的有限元公式。采用基于操作员的方法来整合粘弹性行为，从而产生高阶模型。在动态力学分析仪中分别对制造的单层和八层样品进行实验时，从频率相关的存储和损耗模量图中提取复合材料的粘弹性参数。DPT使用八层样品的材料特性，而单层样品的材料特性在EMT中得到利用，并且堆叠顺序是通过数学方法完成的。比较了两种方法预测的数值结果，证明了EMT公式的正确性。