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Oscillators and Oscillatory Signals from Smooth to Discontinuous Geometrical, Algebraic, and Physical Nature /

This updated and enriched new edition maintains its complementarity principle in which the subgroup of rotations, harmonic oscillators, and the conventional complex analysis generate linear and weakly nonlinear approaches, whereas translations and reflections, impact oscillators, and hyperbolic Clif...

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Autore principale: Pilipchuk, Valery N. (Autore)
Ente Autore: SpringerLink (Online service)
Natura: Elettronico eBook
Lingua:inglese
Pubblicazione: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Edizione:2nd ed. 2023.
Soggetti:
Mechanics.
Multibody systems.
Vibration.
Mechanics, Applied.
Engineering.
Dynamics.
Nonlinear theories.
Classical Mechanics.
Multibody Systems and Mechanical Vibrations.
Technology and Engineering.
Applied Dynamical Systems.
Accesso online:https://doi.org/10.1007/978-3-031-37788-4
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Sommario:
  • Introduction
  • Smooth Oscillating Processes
  • Nonsmooth Processes as Asymptotic Limits
  • Nonsmooth Temporal Transformations (NSTT)
  • Sawtooth Power Series
  • NSTT for Linear and Piecewise-Linear Systems
  • Periodic and Transient Nonlinear Dynamics under Discontinuous Loading
  • Strongly Nonlinear Vibrations
  • Strongly Nonlinear Waves
  • Impact Modes and Parameter Variations
  • Principal Trajectories of Forced Vibrations
  • NSTT and Shooting Method for Periodic Motions
  • Essentially Non-periodic Processes
  • Spatially-Oscillating Structures.

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