The complementary functions method (CFM) is used to investigate the static behavior of laminated composite frames consisting of straight and/or curved members of variable cross section. The Timoshenko beam theory (TBT) is used to obtain the set of the governing equations. The fifth-order Runge–Kutta (RK5) algorithm is employed in the solution process of initial value problems via the CFM. A computer program is substantially coded in Fortran on rigidity matrix based on the CFM to acquire the rigidity matrices and load vectors of these structural elements. With the help of the suggested method, the influences of the symmetric layer stacking sequence, the ratio of E₁/E₂, and various boundary conditions on the nodal displacements and element end forces of the considered frames are investigated. Carrying out the static behavior of laminated composite frame systems which contain straight and circular axis elements for the first time by using the CFM is the novelty of this study. Verification and accuracy of the suggested scheme are intently performed through the comparison of the present results with those of the finite element method. The effectiveness of the method and good agreement of the results are observed.

互补函数法（CFM）用于研究由可变截面的直线和/或弯曲构件组成的层压复合框架的静态性能。季莫申科梁理论（TBT）用于获得控制方程组。通过CFM在初值问题的求解过程中采用了五阶Runge-Kutta（RK5）算法。在Fortran中，基于CFM的刚性矩阵上基本上会编码一个计算机程序，以获取这些结构元件的刚性矩阵和载荷向量。借助所建议的方法，对称层堆叠顺序，E ₁ / E ₂之比的影响，并研究了所考虑框架的节点位移和单元端力的各种边界条件。这项研究的新颖之处在于首次对包含直轴和圆轴单元的叠层复合框架系统进行了静态测试。通过将本发明的结果与有限元方法的结果进行比较，可以专心进行所提出方案的验证和准确性。观察到该方法的有效性和结果的良好一致性。