Form-finding of tensegrity structures based on genetic algorithm

Abstract

We develop a novel form-finding method that utilizes force density and a genetic algorithm. Firstly, the equilibrium equation is derived by using the force density method. Next, the force density matrix is decomposed through QR decomposition. Subsequently, an optimization objective function is introduced, which incorporates information about the force density values. The optimal solution for the objective function is obtained through the use of a genetic algorithm. We determine a suitable set of force density values that satisfy the requirements of the equilibrium matrix rank deficiency, force density rank deficiency, and precision, thereby establishing the equilibrium configuration of the structure. The simulation results verify the reliability of the proposed method. With its advantages of straightforward calculations, rapid convergence, and high precision, this method proves to be well-suited for the form-finding of both regular and irregular tensegrity structures.