报告人：Assoc. Prof. Giuseppe Habib（匈牙利布达佩斯技术与经济大学）

题目：Global dynamics and Dynamical Integrity Assessment

时间：2024年7月15日 9:30-11:00

地点：德赢vwin055 F303会议室

邀请人：吴晓东 副教授（智能汽车研究所）

Biography

Giuseppe Habib received his Ph.D. in Mechanical Engineering from the Sapienza University of Rome (Italy) and the Budapest University of Technology and Economics (Hungary) in 2013 as part of a collaboration between the two institutes. After completing his Ph.D., he spent three years as a postdoctoral researcher at the University of Liege (Belgium). He later returned to Budapest as part of a Marie Skłodowska-Curie Individual Fellowship. He is now an associate professor at the Dept. of Applied Mechanics at the Budapest University of Technology and Economics, and head of the Global Dynamics research group, where he has remained since 2016.
His research interests include nonlinear dynamics, with a focus on global dynamics, dynamical integrity, vibration mitigation, and nonlinear dynamic vibration absorbers.

Abstract

One of the challenges of nonlinear dynamical systems is that it can be difficult to exclude the possibility of overlooked behaviors. This is because properties such as the stability of a steady-state solution are only local, meaning they only hold true in a small region around the solution in phase space. From an engineering perspective, this poses a significant challenge as a stability analysis is not sufficient for assessing the robustness of a system against external perturbations, a property known as dynamical integrity, which is necessary for safe operation. While methods for investigating the dynamical integrity of a steady-state solution exist, they often suffer from computational inefficiency, memory issues, or complexity.
During this seminar, first, examples of dynamical states, which are only locally stable, are provided. Then, an overlook of existing methods for dynamical integrity analysis is presented. Finally, a new numerical methodology for dynamical integrity assessment is discussed, and its effectiveness is evaluated through several examples.
In the second part of the seminar, a new method for predicting regions of the parameter space that may have problems with global stability will also be presented.

Related papers:

Habib, G. (2021). Dynamical integrity assessment of stable equilibria: a new rapid iterative procedure. Nonlinear Dynamics, 106(3), 2073-2096.

Szaksz, B., Stepan, G., & Habib, G. (2024). Dynamical integrity estimation in time delayed systems: a rapid iterative algorithm. Journal of Sound and Vibration, 571, 118045.

Habib, G. (2023). Predicting saddle-node bifurcations using transient dynamics: a model-free approach. Nonlinear Dynamics, 111(22), 20579-20596.