Advances in Nonlinear Dynamics: Methods and Applications : Methods and Applications

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ISBN 10: 0792336216 / ISBN 13: 9780792336211

Editore: Springer Netherlands, 1995

Zustand: Gut | Sprache: Englisch | Produktart: Bücher | This is the second and final issue of the collection of papers that were contributed by friends and colleagues of (Late) Professor P. R. "Pat" Sethna of the University of Minnesota to commemorate his 70th birthday on May 26, 1993. The first set of contributions was published in Nonlinear Dynamics as the last issue (no. 6) of Vol. 4 in 1993. As circumstances would have it, Professor Sethna was diagnosed with cancer in the fall of 1992 and, after an extended battle with the disease, he passed away on November 4, 1993, just a few days before the first set of contributed papers appeared in print. It is gratifying to report that the organizers of these vi Foreword commemorative issues in Nonlinear Dynamics were able to present to Professor Sethna, on the occasion of his 70th birthday, complete details of the planned commemorative issues. This second set of contributions is dedicated, in memoriam, to Professor P. R. Sethna. As many of you are well aware, Professor Sethna was an active researcher in the field of nonlinear vibrations and dynamics for nearly forty years, making many fundamental and significant contributions to both the theoretical and applied aspects of this field. He was also recognized for his outstanding leadership and administrative abilities, amply demonstrated through his position as the Head of the Department of Aerospace Engineering and Mechanics at the University of Minnesota for twenty-six years (1966-1992). Codice articolo 3011506/203

Riassunto:

The nine papers in this text cover a range of topics from specific problems - such as the dynamic buckling of shallow curved structures under stochastic loads, fluid particle motions in gravity and capillary waves generated by the Faraday instability, three-dimensional oscillations of suspended cables involving internal resonances, analysis of one-to-one autoparametric resonances in cables, chaos in elastoplastic oscillators, one- and two-parameter bifurcations to divergence and flutter in three-dimensional motions of a fluid conveying tube - to the more general, viz.: externally excited two-degree-of-freedom oscillators, time-periodic nonlinear systems undergoing bifurcations, and the dynamics of resonant capture. The analyses span the whole spectrum of applicable methods for nonlinear dynamics, including perturbation methods, local bifurcational analysis of differential equations and maps, equivariant bifurcation theory, global bifurcation analysis of maps, Melnikov's technique, and the use of the Liapunov-Floquet transformation.

Contenuti: Foreword. Editorial. The dynamics of resonant capture; D. Quinn, et al. Analysis of time-periodic nonlinear dynamical systems undergoing bifurcations; R. Pandiyan, S.C. Sinha. Three-dimensional oscillations of suspended cables involving simultaneous internal resonance; C. Lee, N.C. Perkins. Analysis of one-to-one autoparametric resonances in cables - discretization vs. direct treatment; M. Pakdemirli, et al. Global bifurcations in externally excited two-degree-of-freedom nonlinear systems; N. Malhotra, N. Sri Namachchivaya. Chaos in a mapping describing elastoplastic oscillations; R. Pratap, P. Holmes. Fluid particle dynamics and Stokes drift in gravity and capillary waves generated by the Faraday instability; Z.C. Feng, S. Wiggins. One- and two-parameter bifurcations to divergence and flutter in the three-dimensional motions of a fluid conveying viscoelastic tube with D4 symmetry; A. Steindl, H. Troger. Dynamic buckling of shallow curved structures under stochastic loads; S.T. Ariaratnam, W.-C. Xie.

Dati bibliografici

Titolo: Advances in Nonlinear Dynamics: Methods and ...
Casa editrice: Springer Netherlands
Data di pubblicazione: 1995
Legatura: Rilegato
Condizione: Gut