AbstractThis paper presents an extension of BATTINI´s formulation to two-dimensional analysis of nonlinear dynamical problems. The main interest of the co-rotational approach is to separate rigid body motions from pure deformations at the local element level through co-rotated framework. Employing co-rotated framework to derive both internal and inertial terms is the objective of the formulation presented in this study. Numerical examples are presented to illustrate the ability of the proposed co-rotational formulation.

This paper presents a new approach to simultaneously obtain the optimal design parameters of tensegrity structures, including pre-stress force and sectional area of elements. The proposed method is based on minimizing the static compliance in terms of some linear and nonlinear constraints using a genetic algorithm tool. This work is devoted to optimize the concurrent cross sectional area of element and pre-stress of a tensegrity system which works under the applied external loading along with a fixed topology and shape. An increase in the rigidity of systems is one of the outcomes of modifying of tensegrity structures according to optimal design parameters. The validation, efficiency and characteristics of proposed algorithm to find the optimum values for design variables of tensegrity structures is tested through three known tensegrity structures.