Sliding connections for geometrical nonlinear dynamical analysis of three-dimensional structures and mechanisms

• Grant number: 16/00622-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: May 01, 2016
• End date: February 28, 2019
• Field of knowledge: Engineering - Civil Engineering - Structural Engineering
• Principal Investigator: Humberto Breves Coda
• Grantee: Tiago Morkis Siqueira
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project proposes the development and computational implementation of a finite element formulation to model three-dimensional structures and mechanisms with sliding connections introduced by Lagrange multipliers. Sliding connections known as prismatic, cylindrical and plane joints will be considered in shell and three-dimensional frame finite elements in addition to rotational and spherical joints. Especial attention will be given to the connections between shell elements where a trajectory restriction path, or paths, will be created to allow motion for the sliding structure. Aspects such as surface roughness and energy dissipation by dry friction will be considered in the joints. Those connections presents numerous applications in structures and mechanisms of the aerospace, mechanical and civil industries. The finite element method formulation and implementation will be performed in a Total Lagrangian environment using positions as nodal parameters. This approach has been developed by the advisor of this project for more than ten years and it has proven to be a simple and efficient alternative for geometrical nonlinear dynamical analysis of structures. The Saint-Venant-Kirchhoff constitutive model, which relates the Green-Lagrange objective strain measure to the second Piola-Kirchhoff stress tensor, will be adopted. The system dynamical equilibrium is obtained by the Principle of Stationary Total Energy and the solution of the resulting nonlinear system is done by the Newton-Raphson method. The time integration to be used employs the Newmark method, which has adapted well to the Total Lagrangian formulation developed in the research group wherein this work belongs. Several examples will be presented to validate the formulation and the developed code.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

SIQUEIRA, TIAGO MORKIS; CODA, HUMBERTO BREVES. Total Lagrangian FEM formulation for nonlinear dynamics of sliding connections in viscoelastic plane structures and mechanisms. FINITE ELEMENTS IN ANALYSIS AND DESIGN, v. 129, p. 63-77, JUL 2017. (16/00622-0)

SIQUEIRA, TIAGO MORKIS; CODA, HUMBERTO BREVES. Flexible actuator finite element applied to spatial mechanisms by a finite deformation dynamic formulation. COMPUTATIONAL MECHANICS, v. 64, n. 6, p. 1517-1535, DEC 2019. (16/00622-0, 18/18321-1)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SIQUEIRA, Tiago Morkis. Sliding connections for the geometrical nonlinear dynamical analysis of three-dimensional structures and mechanisms by the positional finite element method. 2019. Doctoral Thesis - Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD) São Carlos.