Quasi-Mechanism Method of Structural Morphogenesis Based on Self-Adapting Function of Net System

This study explores a geometric method of structural morphogenesis, referred to here as the quasi-mechanism (QM) method because it is based on the self-adapting function of mechanism systems. First, a net-shaped mechanism system is modeled by adopting B-spline curves. Subsequently, an equation of shape is established to determine the tendency of shape transformation under the condition of constraining the length of each cable. This equation is solved using the generalized inverse matrix theory and the gradient of potential energy increment with shape transformation. Next, an iterative process is formed to determine the final shape of the system, which corresponds to an optimized structural shape featuring a predominant axial force and small bending moment under a specific loading case. Finally, the new structural shapes generated by the QM method illustrate its validity and characteristics.