Perturbation Methods and Nonlinear Phenomena [electronic resource] : Applications to Continuous Mechanical Systems / by Angelo Luongo, Daniele Zulli, Manuel Ferretti, Francesco D’Annibale.
Material type:
TextSeries: Synthesis Lectures on Engineering, Science, and TechnologyPublisher: Cham : Springer Nature Switzerland : Imprint: Springer, 2024Edition: 1st ed. 2024Description: XI, 201 p. 33 illus. online resourceContent type: - text
- computer
- online resource
- 9783031493973
- TA352-356
Introduction -- Conservative static systems -- Non-autonomous dynamical systems -- Autonomous nonconservative dynamical systems -- Nonlinear continuum models -- Perturbation methods for a continuum metamodel -- Solved Problems -- Summary.
This concise text introduces the reader to the use of perturbation methods, able to investigate nonlinear phenomena in continuous (not only discrete) mechanical systems. Distinct from the classic books on perturbation methods, the algorithms are directly illustrated for continuous systems, referring to a very simple case-study as well as to a metamodel, for which Statics, Buckling, Dynamics and Bifurcation behavior are quickly analyzed. Moreover, fundamental mechanical aspects are discussed in dealing with applications. Concepts herein are reinforced with worked examples at the end the book, relevant to several continuous systems.
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