Numerical fundamentals and interactive computer graphics system for the nonlinear analysis of planar frames

Abstract

Recent scientific and computational advances have facilitated the analysis of slender structural systems subject to instability. With the employment of more sophisticated numerical tools and algorithms, it is possible to accurately determine the critical points (limit and bifurcation loads) as well as the post-critical behavior of the structural system. In the computational context, efficient data structures are needed to enable code and graphic interface expansion for the generation of models and visualization of the results obtained. Thus, an interactive object-orientated graphic computational system is presented herein. It has been developed using MATLAB/GUI, with pre-processing, analysis and post-processing capacities for planar structural frames. The nonlinear finite element developed and implemented for the structure modeling is formulated considering second order effects. Therefore, with the computational tool presented, the geometric nonlinear effects and stability of the structural system can be directly addressed, and the visualization of the numerical results are accessed through interactive controls that permit data inclusion and analysis verification. The engineerdesigner can see the structural model discretization, the equilibrium path, its deformation configuration, the force and bending moment diagrams at the moment that he runs the program and in each load step. It is also possible to export the images, videos or tables of the obtained numerical results. The example presented demonstrates the capacity of the developed graphic computational system.

Application of Chinese Folk Art in the Computer Design Assistant System of Modern Art

“…With the progress and development of modern society, technological innovation has gradually affected all walks of life, and its influence on the field of art has become greater and greater [1][2]. Especially thanks to the innovation of people's design thinking and painting methods, the combination of science and technology and art design has been accelerated, and modern computer art design auxiliary technology has been created [3][4].…”

Comportamento Não Linear E Instabilidade De Arcos Ajustáveis

“…Recentemente, Santana et al (2018;2019a;2019b;2019c;2019d) desenvolveram o programa computacional "Galileo" na linguagem de programação C++, que é capaz de realizar análises estáticas e dinâmicas não lineares, considerando os efeitos de segunda ordem e comportamento inelástico dos materiais, bem como o comportamento mecânico das conexões. Este programa será utilizado nas análises dessa dissertação.…”

“…Observa-se que o programa computacional é capaz, usando métodos de continuação, de ultrapassar os diversos pontos limites, Figura 58 (a) (Santana, & Silveira, 2019b). Esta não linearidade é mais acentuada nas estruturas compostas por poucos elementos (6, 7, 8 e 9 elementos) onde se observam diversos pontos limite relacionados a cargas elevadas (maiores que 300 kN) e grandes A influência dos diferentes tipos de apoios no comportamento não linear dessas estruturas pode ser observada na Figura 60, que compara o comportamento de estruturas compostas por elementos polares (primeira coluna) e translacionais (segunda coluna) para um mesmo tipo de apoio.…”