A novel hybrid-Trefftz finite element (HTFE) for the analysis of symmetric laminated composite plates has been developed. Unlike the existing HTFE formulations, the derivation of this HTFE does not require the particular solutions of simultaneous governing partial differential equations. The Trefftz functions are constructed from the exact solutions of the homogeneous simultaneous governing partial differential equations in a straight forward manner without transforming them into a single governing equation. The HTFE is validated with the authenticated exact solutions. It is observed that this HTFE is an efficient finite element for analyzing laminated composite structures.

开发了一种新型的混合Trefftz有限元（HTFE），用于分析对称层压复合板。与现有的HTFE公式不同，此HTFE的推导不需要同时控制偏微分方程的特定解。Trefftz函数是由齐次联立控制偏微分方程的精确解以直接方式构造的，而无需将它们转换为单个控制方程。该HTFE验证与认证的精确解。可以看出，该HTFE是分析叠层复合结构的有效有限元。