Programa de Pós-Graduação em Engenharia Elétrica


Minicurso dia 29/5 14h: On Global Nonlinear Dynamics for Engineering Design and System Safety

Palestra dia 15/5 14h: Gaussian Adaptive PID Controller

Palestra dia 8/5 14h: Fundamentals, Challenges and Opportunities of Self-Driving Cars

Palestra dia 8/5 14h45: Artifical Neural Networks

Palestra dia 27/3 14h: Electric Vehicle Battery-Ultracapacitor Energy System Optimization

Palestra dia 20/3 14h: Exploring nonlinear dynamics in 2D parameter space

Resultado preliminar Edital 03/2018 Credenciamento de docente PPGEE

Resultado final Edital 02/2018 Seleção de bolsistas

Candidatos selecionados (final) Edital 33/2017

Inscrições de alunos externos

Calendário acadêmico PPGEE 2018/1

Instruções para matrícula 2018/1

Horário 1º semestre 2018

Novo checklist para entrega da versão final das dissertações

Professores do PPGEE aprovam projetos na Chamada Universal MCTI/CNPq no. 14/2014



Pesquisadores franceses G2ELab e CNRS visitam o PPGEE

Minicurso dia 29/5 14h: On Global Nonlinear Dynamics for Engineering Design and System Safety

(Mai/2018) dia 29 de maio (terça), às 14h00, no auditório do DAELE, será realizado o minicurso "On Global Nonlinear Dynamics for Engineering Design and System Safety" ministrado pelo prof. Frederico Martins Alves da Silva, professor da Universidade Federal de Goiás.


FREDERICO MARTINS ALVES DA SILVA is PhD, Pontifical Catholic University of Rio de Janeiro, RJ, Brazil. Graduation in Civil Engineering, Catholic University of Goiás, GO, Brazil. Research area: Dynamics and instability of structures - Linear and non-linear analysis; Stochastic dynamics; Numerical methods for structural analysis. Research lines: Applied and computational mechanics.


Global nonlinear dynamics in applied mechanics dates back to the Eighties, when the scientific community realized the importance of nonlinear phenomena in view of technical applications. Since then, the area has been evolving in a revolutionary way, with applications to a wide variety of systems made possible by sophisticated analytical, geometrical and computational techniques employing powerful concepts/tools of bifurcation and chaos theory, properly updated and complemented with a view to engineering aims and meaningful experimental verifications.

The achievements occurred over the last thirty years entail a substantial change of perspective when dealing with vibration problems, and are deemed ready to meaningfully affect the analysis, control and design of mechanical/structural systems.

This course aims at highlighting the important, yet still generally overlooked, role that the relevant concepts/tools may play as regards the load carrying capacity and safety of engineering systems.

Attention is paid to the evolution and update of the old concept of stability, as ensuing from consideration of global dynamics.

Upon dwelling on bifurcation and complexity, theoretical and practical stability, recent results obtained for a variety of systems in applied mechanics and structural dynamics are overviewed in terms of analysis and control of nonlinear phenomena.

Local and global stability of systems are discussed by also considering the effects of imperfections or small, but finite, dynamical perturbations, along with variations of control parameters. All of them may arise in technical applications and experiments, and are to be properly considered in design in order to secure the system capability to sustain changes without modifying the desired outcome. Robustness of solutions against variations of initial conditions or control parameters, and system dynamical integrity, are fundamental concepts to be addressed in view of global phenomena, which may entail the existence of merely residual levels of robustness and integrity, unacceptable in technical applications.

The overall transition from a local to global safety concept has also major implications as regards the feasibility and effectiveness of techniques aimed at controlling nonlinear dynamics, which may drastically change according to whether the control goal is local or overall.

All these issues, which also permit to explain partial discrepancies between experimental and theoretical/ numerical results based on merely local analyses, are overviewed for systems from macro- to micro/nano- mechanics. Archetypal discrete systems and reduced order models of continuous systems are addressed. Specific phenomenological aspects are discussed, paying attention to the common or distinguishing nonlinear dynamical features expected to play a meaningful role in analysis and design engineering.

The course is addressed to doctoral students and postdocs, but also to academics, industrial researchers and practicing engineers in mechanical, civil and aeronautical engineering, as well as in applied physics or applied mathematics.


Departamento de Eletrônica - DAELE
UTFPR Campus Ponta Grossa
Av. Monteiro Lobato, km 4 - s/n . CEP: 84016-210
Tel: +55 (42) 3235-7042 / 3220-4825 . FAX: +55 (42) 3220-4810
Ponta Grossa - Paraná - Brasil