caa a22 4500 445361611 CHVBK 20180317142916.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s11071-011-0080-9 doi (NATIONALLICENCE)springer-10.1007/s11071-011-0080-9 On periodic steady state response and stability of Filippov-type mechanical models [Elektronische Daten] [C. Theodosiou, A. Pournaras, S. Natsiavas] In the first part of this study, the basic steps of a methodology are presented, leading to a long time response of a class of periodically excited mechanical models with contact and dry friction. In particular, the models examined belong to the special class of Filippov-type dynamical systems, which possess continuous displacements and velocities, but exhibit discontinuities in their accelerations. The direct determination of periodic steady state response of this class of models is achieved by combining suitable numerical integration of the equations of motion with an appropriate technique yielding the corresponding monodromy matrix. This matrix, which arises from a linearization of the motion around a located periodic solution, involves saltations (jumps) and is also useful in predicting its stability properties. The analytical part is complemented by a suitable continuation procedure, enabling evaluation of complete branches of periodic motions. In the second part of the study, the effectiveness of the methodology developed is confirmed by presenting representative sets of numerical results obtained for selected examples. The first two of them are single degree of freedom oscillators. Besides investigating some interesting aspects of regular periodic response, some cases involving rich dynamics of the class of the system examined are also studied in a systematic way. The last example is a more involved and challenging model, related to the function of an engine valve and characterized by large numerical stiffness. Springer Science+Business Media B.V., 2011 Unilateral contact nationallicence Coulomb friction nationallicence Periodic steady state motion nationallicence Saltation nationallicence Stability nationallicence Path continuation nationallicence Theodosiou C. Department of Mechanical Engineering, Aristotle University, 54 124, Thessaloniki, Greece aut Pournaras A. Department of Mechanical Engineering, Aristotle University, 54 124, Thessaloniki, Greece aut Natsiavas S. Department of Mechanical Engineering, Aristotle University, 54 124, Thessaloniki, Greece aut Nonlinear Dynamics Springer Netherlands 66/3(2011-11-01), 355-376 0924-090X 66:3<355 2011 66 11071 https://doi.org/10.1007/s11071-011-0080-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-011-0080-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Theodosiou C. Department of Mechanical Engineering, Aristotle University, 54 124, Thessaloniki, Greece aut NATIONALLICENCE 700 1- Pournaras A. Department of Mechanical Engineering, Aristotle University, 54 124, Thessaloniki, Greece aut NATIONALLICENCE 700 1- Natsiavas S. Department of Mechanical Engineering, Aristotle University, 54 124, Thessaloniki, Greece aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/3(2011-11-01), 355-376 0924-090X 66:3<355 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer