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Titlebook: Dynamics of Vibro-Impact Systems; Proceedings of the E V. I. Babitsky Conference proceedings 1999 Springer-Verlag Berlin Heidelberg 1999 ch

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https://doi.org/10.1007/978-1-349-18122-3 nonlinear form, with periodic stiffness and external forcing terms. Then, several types of periodic steady-state response are identified and determined by applying a methodology, that is suitable for piecewise linear systems with time-periodic coefficients and excitation. This methodology is comple
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https://doi.org/10.1007/978-1-349-18122-3study is exemplified on a piezoelectric vibroconverter with an impact rheological model It consists of a piezoelectric body and another rigid body prestressed to each other by means of a connecting element. During the vibrations of the piezoelectric vibroconverter between its rigid hand and the rigi
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https://doi.org/10.1007/978-1-349-18122-3led based on a phenomenological concept by introducing a power nonlinearity with a higher exponent A special saw-tooth time transformation (STTT) technique is used to analytically describe the in-phase and out-of-phase strongly nonlinear periodic regimes. Based on explicit forms of analytical soluti
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https://doi.org/10.1007/978-1-349-18122-3stic vibro-impacts. The imposition of suitable boundary conditions at the instants of impacts eliminates the singularities introduced by the transformations, and the smoothened problem is solved numerically. Numerical analysis reveals vibro-impact solutions of complicated form and interesting bifurc
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