03465nam a22006135i 4500 978-3-031-49397-3 DE-He213 20251030111359.0 cr nn 008mamaa 240122s2024 sz | s |||| 0|eng d 9783031493973 978-3-031-49397-3 10.1007/978-3-031-49397-3 doi TA352-356 TGMD4 bicssc TEC009070 bisacsh TGMD thema Luongo, Angelo. author. (orcid)0000-0003-1426-7825 https://orcid.org/0000-0003-1426-7825 aut http://id.loc.gov/vocabulary/relators/aut 69748 Perturbation Methods and Nonlinear Phenomena [electronic resource] : Applications to Continuous Mechanical Systems / by Angelo Luongo, Daniele Zulli, Manuel Ferretti, Francesco D’Annibale. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XI, 201 p. 33 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Engineering, Science, and Technology, 2690-0327 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. Multibody systems. 66046 Vibration. 66047 Mechanics, Applied. Plasma waves. 69749 Continuum mechanics. Mechanics. 68102 Multibody Systems and Mechanical Vibrations. 66048 Waves, instabilities and nonlinear plasma dynamics. 69750 Engineering Mechanics. Continuum Mechanics. Classical Mechanics. 68103 Zulli, Daniele. author. aut http://id.loc.gov/vocabulary/relators/aut 69751 Ferretti, Manuel. author. aut http://id.loc.gov/vocabulary/relators/aut 69752 D’Annibale, Francesco. author. aut http://id.loc.gov/vocabulary/relators/aut 69753 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031493966 Printed edition: 9783031493980 Printed edition: 9783031493997 Synthesis Lectures on Engineering, Science, and Technology, 2690-0327 https://doi.org/10.1007/978-3-031-49397-3 ZDB-2-SXSC 57257 57257