Details

Exploiting the Use of Strong Nonlinearity in Dynamics and Acoustics


Exploiting the Use of Strong Nonlinearity in Dynamics and Acoustics


CISM International Centre for Mechanical Sciences, Band 613

von: Oleg V. Gendelman, Alexander F. Vakakis

171,19 €

Verlag: Springer
Format: PDF
Veröffentl.: 27.07.2024
ISBN/EAN: 9783031569029
Sprache: englisch
Anzahl Seiten: 200

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Beschreibungen

<div><p>This book covers the latest ideas and approaches in strongly nonlinear dynamical and acoustical systems and discusses appropriate modelling tools and practical examples highlighting the non-standard and non-stationary aspects of this challenging, yet so promising area. The contributions investigate and present the intentional use of nonlinearity in the most challenging field of acoustics, the latest developments in transient dynamics of strongly nonlinear systems, the subtle numeric problems arising while exploring nonlinear normal modes, the fascinating topic of nonlinear dynamics of wind musical instruments, the novel developments in the field of global nonlinear dynamics, some multi-faceted mathematical challenges in the dynamics of hysteretic systems, and lastly offers theoretical, numeric and experimental insights into the intricate dynamics of systems with contact nonlinearities. The need for such a work is underscored by the fact that accounting for, understanding of, and designing with nonlinearities is becoming an emerging universal trend in engineering practice, and is predicted to be even more so in the future. The book demonstrates that the idea of exploiting strong nonlinearity in dynamical and acoustical systems has transitioned from few early theoretical works to a diverse theoretical and experimental body of current research.<b></b></p></div><p></p>
<p>Inducing Intentional Strong Nonlinearity in Acoustics.- Beyond common simplifications: strongly nonlinear transient phenomena.-&nbsp;Tailoring Nonlinear Normal Modes and Managing Bifurcations.-&nbsp;Exploiting the use of strong nonlinearity in dynamics and acoustics: the case of musical wind instruments.-&nbsp;Global Nonlinear Dynamics: Challenges in the Analysis and Safety of Deterministic or Stochastic Systems.-&nbsp;Hysteretic Systems: Resonances, Modal Coupling, Mitigation.-&nbsp;Systems with Contact Nonlinearities.</p>
<p>This book covers the latest ideas and approaches in strongly nonlinear dynamical and acoustical systems and discusses appropriate modelling tools and practical examples highlighting the non-standard and non-stationary aspects of this challenging, yet so promising area. The contributions investigate and present the intentional use of nonlinearity in the most challenging field of acoustics, the latest developments in transient dynamics of strongly nonlinear systems, the subtle numeric problems arising while exploring nonlinear normal modes, the fascinating topic of nonlinear dynamics of wind musical instruments, the novel developments in the field of global nonlinear dynamics, some multi-faceted mathematical challenges in the dynamics of hysteretic systems, and lastly offers theoretical, numeric and experimental insights into the intricate dynamics of systems with contact nonlinearities. The need for such a work is underscored by the fact that accounting for, understanding of, and designing with nonlinearities is becoming an emerging universal trend in engineering practice, and is predicted to be even more so in the future. The book demonstrates that the idea of exploiting strong nonlinearity in dynamical and acoustical systems has transitioned from few early theoretical works to a diverse theoretical and experimental body of current research.<b></b></p><p></p>
Explores the developing field of nonlinear dynamics, with multiple potential applications in science and engineering Shows well-balanced combination of theoretical/numeric aspects of the problem with natural experiments and applications Written by leading experts in the field