TY - BOOK AU - Luongo,Angelo AU - Zulli,Daniele AU - Ferretti,Manuel AU - D’Annibale,Francesco ED - SpringerLink (Online service) TI - Perturbation Methods and Nonlinear Phenomena: Applications to Continuous Mechanical Systems T2 - Synthesis Lectures on Engineering, Science, and Technology, SN - 9783031493973 AV - TA352-356 PY - 2024/// CY - Cham PB - Springer Nature Switzerland, Imprint: Springer KW - Multibody systems KW - Vibration KW - Mechanics, Applied KW - Plasma waves KW - Continuum mechanics KW - Mechanics KW - Multibody Systems and Mechanical Vibrations KW - Waves, instabilities and nonlinear plasma dynamics KW - Engineering Mechanics KW - Continuum Mechanics KW - Classical Mechanics N1 - Introduction -- Conservative static systems -- Non-autonomous dynamical systems -- Autonomous nonconservative dynamical systems -- Nonlinear continuum models -- Perturbation methods for a continuum metamodel -- Solved Problems -- Summary N2 - 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 UR - https://doi.org/10.1007/978-3-031-49397-3 ER -