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2024 | OriginalPaper | Chapter

5. Global Nonlinear Dynamics: Challenges in the Analysis and Safety of Deterministic or Stochastic Systems

Author : Giuseppe Rega

Published in: Exploiting the Use of Strong Nonlinearity in Dynamics and Acoustics

Publisher: Springer Nature Switzerland

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Abstract

The chapter provides a state-of-the-art, qualitative and application-oriented overview of topics in the global nonlinear dynamics of mechanical systems and structures. Models, methods, phenomena, practical examples are addressed with the aim of highlighting the enormous potential of global analysis as regards in-depth description and understanding of systems’ nonlinear dynamics, and a reliable assessment of their actual load carrying capacity. Challenges and prospects are outlined, as mostly occurring when moving from the low-order, deterministic, models mostly dealt with so far within the underlying scientific community, to the multi-dimensional, non-deterministic, systems and structures encountered in engineering and characterizing the real world. General items addressed include fundamentals of global dynamics, use of dynamical integrity as a reliable and effective computational-geometrical tool for investigating and controlling response robustness, computational challenges for multi-dof systems, need for refined reduced order modeling, influence of parametric uncertainty and noise.

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previous chapter Exploiting the Use of Strong Nonlinearity in Dynamics and Acoustics: The Case of Musical Wind Instruments

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This section is based on the work done by Dr. Kaio C.B. Benedetti in his Ph.D. dissertation [Benedetti, 2022] and ensuing papers listed in the References.

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Title: Global Nonlinear Dynamics: Challenges in the Analysis and Safety of Deterministic or Stochastic Systems
Author: Giuseppe Rega
Publisher: Springer Nature Switzerland
Book: Exploiting the Use of Strong Nonlinearity in Dynamics and Acoustics
Print ISBN: 978-3-031-56901-2

Electronic ISBN: 978-3-031-56902-9

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-56902-9_5