Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
THEORETICAL AND NUMERICAL NONLINEAR DYNAMIC STUDY OF THE VON MISES STRUCTURE
Submission Author:
Lucas Sardinha de Arruda , SP
Co-Authors:
Lucas Sardinha de Arruda, Reyolando Brasil
Presenter: Lucas Sardinha de Arruda
doi://10.26678/ABCM.COBEM2019.COB2019-0957
Abstract
Abstract. A nonlinear numerical study of the von Mises structure was carried out to describe its dynamic behavior under a set of distinct load histories, since it is well known that this problem may lead, for certain parameters and initial conditions, to chaotic solutions, among other rich dynamic behaviors. In addition, a pseudo-static analysis using different cross-sections, material and load conditions is developed to obtain the characteristic dynamic snap-through phenomenon present in literature. The numerical algorithm is written in MATLAB© language and based on a ‘composite scheme’, where the first sub-step solution is obtained via the trapezoidal rule, and for the second sub-step solution, a 3-point Euler backward formula is employed. The dynamic equilibrium at each load step is achieved via a path following methodology, seeking to solve the nonlinear systems of equations derived from the time integration procedure. This combination of numerical procedures seeks to describe the exact structural dynamic behavior at every load step, as well as ensuring the convergence of the method for nonlinear problems.
Keywords
Nonlinear Dynamic Analysis, von Mises truss, Nonlinear truss
