Luongo, Angelo. <br/><br/>
Perturbation Methods and Nonlinear Phenomena  Applications to Continuous Mechanical Systems /  [electronic resource] : 
by Angelo Luongo, Daniele Zulli, Manuel Ferretti, Francesco D’Annibale. 
 - 1st ed. 2024. 
 - XI, 201 p. 33 illus.  online resource. 
 - Synthesis Lectures on Engineering, Science, and Technology,  2690-0327 .
 - Synthesis Lectures on Engineering, Science, and Technology, .
<br/><br/>Introduction -- Conservative static systems -- Non-autonomous dynamical systems -- Autonomous nonconservative dynamical systems -- Nonlinear continuum models -- Perturbation methods for a continuum metamodel -- Solved Problems -- Summary. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9783031493973 
<br/><br/><label>Standard No.: </label>10.1007/978-3-031-49397-3  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/><br/>
<br/><br/><label>LC Class. No.: </label>TA352-356