Nonlinear structural contact/impact analysis problems using the finite element method

Author(s)

Marcelo Greco

• Document type: Doctoral Thesis
• Press: São Carlos. , gráficos, ilustrações, tabelas.
• Institution: Universidade de São Paulo (USP). Escola de Engenharia de São Carlos (EESC/SBD)
• Defense date: 2004-02-12

Examining board members

Humberto Breves Coda; Marcilio Alves; Jose Manoel Balthazar; Jonas de Carvalho; Jose Elias Laier

• Advisor: Humberto Breves Coda
• Field of knowledge: Engineering - Civil Engineering
• Indexed in: Banco de Dados Bibliográficos da USP-DEDALUS; Biblioteca Digital de Teses e Dissertações - USP
• Location: Universidade de São Paulo. Biblioteca da Escola de Engenharia de São Carlos; EESC/TESE 2648

Abstract

This work deals with formulations and algorithms for nonlinear bi-directional impact analysis between reticulated structures. New positional formulations for static and dynamic nonlinear cases are presented, both based on the finite element method. The developed formulations are extended to bi-directional impact problem between reticulated structures and rigid wall, using the Lagrange multiplier method to impose contact conditions. An appropriated time integration scheme is used to alleviate the numerical errors due high frequency vibrations occurring in the impact. Finally, the formulation is adapted for the bi-directional impact between reticulated structures. During the thesis several numerical examples are presented, comparing the obtained results with analytical and other numerical responses. The developed formulation also considers elastoplastic effects in structural members and nodal connections with free displacements (AU)