The exact, resultant equilibrium conditions for irregular shells reinforced by beams along the junctions are formulated. The equilibrium conditions are derived by performing direct integration of the global equilibrium conditions of continuum mechanics. New, exact resultant static continuity conditions along the singular curve modelling reinforced junction are presented. The results do not depend on shell thickness, internal through-the-thickness shell structure, or material properties of shell and beam elements. In this theoretical approach, the beam’s kinematics is represented by the elastic Cosserat curve. Kinematically, the six-parameter model of shell structures coincides with the Cosserat curve model of the beam. The presented method can be easily applied to cases of connection of three or four shell elements with the reinforcement along the junction.

制定了沿连接处由梁加固的不规则壳的精确合成平衡条件。平衡条件是通过对连续介质力学的全局平衡条件进行直接积分而导出的。提出了沿着奇异曲线建模加固连接的新的、精确的结果静态连续性条件。结果不取决于壳厚度、内部全厚度壳结构或壳和梁单元的材料属性。在这种理论方法中，梁的运动学由弹性 Cosserat 曲线表示。在运动学上，壳结构的六参数模型与梁的 Cosserat 曲线模型一致。