caa a22 4500 445361751 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-010-9937-6 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9937-6 Inelastic impact dynamics of ships with one-sided barriers. Part I: analytical and numerical investigations [Elektronische Daten] [Ihab Grace, Raouf Ibrahim, Valery Pilipchuk] This two-part paper deals with impact interaction of ships with one-sided ice barrier during roll dynamics. The first part presents analytical and numerical studies for the case of inelastic impact. An analytical model of a ship roll motion interacting with ice is developed based on Zhuravlev and Ivanov non-smooth coordinate transformations. These transformations have the advantage of converting the vibro-impact oscillator into an oscillator without barriers such that the corresponding equation of motion does not contain any impact term. Such approaches, however, account for the energy loss at impact times in different ways. The present work, in particular, demonstrates that the impact dynamics may have qualitatively different response characteristics to different dissipation models. The difference between localized and distributed equivalent damping approaches is discussed. Extensive numerical simulations are carried out for all initial conditions covered by the ship grazing orbit for different values of excitation amplitude and frequency of external wave roll moment. The basins of attraction of safe operation are obtained and reveal the coexistence of different response regimes such as non-impact periodic oscillations, modulation impact motion, period added impact oscillations, chaotic impact motion and rotational motion. The second part will consider experimental validations of predicted results. Springer Science+Business Media B.V., 2011 Inelastic impact nationallicence Zhuravlev-Ivanov coordinate transformations nationallicence Equivalent impact damping nationallicence Ship roll stability index nationallicence Grace Ihab Department of Mechanical Engineering, Wayne State University, 48202, Detroit, MI, USA aut Ibrahim Raouf Department of Mechanical Engineering, Wayne State University, 48202, Detroit, MI, USA aut Pilipchuk Valery Department of Mechanical Engineering, Wayne State University, 48202, Detroit, MI, USA aut Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 589-607 0924-090X 66:4<589 2011 66 11071 https://doi.org/10.1007/s11071-010-9937-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9937-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Grace Ihab Department of Mechanical Engineering, Wayne State University, 48202, Detroit, MI, USA aut NATIONALLICENCE 700 1- Ibrahim Raouf Department of Mechanical Engineering, Wayne State University, 48202, Detroit, MI, USA aut NATIONALLICENCE 700 1- Pilipchuk Valery Department of Mechanical Engineering, Wayne State University, 48202, Detroit, MI, USA aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 589-607 0924-090X 66:4<589 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 445361751 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer