Wanda Szemplinska

The Behaviour of Nonlinear Vibrating Systems

Volume I: Fundamental Concepts and Methods; Applications to Single Degree-of-Freedom Systems Volume II: Advanced Concepts and Applications to Multi-Degree-of-Freedom Systems

• Gebundenes Buch

Produktdetails

• Mechanics: Dynamical Systems 12/13
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-0-7923-0368-8
• 1990.
• Seitenzahl: 284
• Erscheinungstermin: 30. Juni 1990
• Englisch
• Abmessung: 241mm x 160mm x 20mm
• Gewicht: 576g
• ISBN-13: 9780792303688
• ISBN-10: 0792303687
• Artikelnr.: 21055546

Inhaltsangabe

1/Normal Oscillations in Autonomous Conservative Systems.- 2/Normal Oscillations of Elastic Nonlinear Continuous Systems.- 3/Free Oscillations with Arbitrary Initial Conditions.- 4/Harmonic Solution in Nonautonomous Systems and Its Local Stability.- 4.1. The Ritz method and variational coupled Hill's equations.- 4.2. The first order unstable regions by the perturbation procedure based on the Floquet theory.- 4.3. The first order unstable regions by the asymptotic and averaging method.- 4.4. First order unstable regions of harmonic solution in a two- degree-of-freedom system - theoretical and computer simulation analysis.- 4.5. Harmonic plus constant term solution - systems with quadratic nonlinearity.- 5/Principal Resonances.- 6/Principal Resonances - Examples of Theoretical and Computer Simulation Analysis.- 6.1. Two-degree-of-freedom systems - problem of coupling of normal coordinates.- 6.2. Three-degree-of-freedom systems - the single nonlinear mode method.- 6.3. Homogeneous system with two-degrees-of-freedom.- 7/Secondary Resonances (Periodic and Almost-Periodic).- 8/Internal Resonances.- 9/Parametric Resonances.- References.