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Mathematical models of contact and impact interaction of mechanical systems elements: theoretical basis and practical implementation


authors:  Tkachuk M.M., Grabovskiy A.V., Skripchenko N.B.

Work is submitted by National Technical University

«Kharkiv Polytechnical Institute»

This work consists in development, improvement and implementation of methods for analysis of stress-strain state with account for contact interaction and geometry synthesis for complex-shaped elements of engineering structures with kinematically generated surfaces and dynamics of vibro-impact systems based on their parametric description and integration of computational models of different levels.

A new approach to problems related to geometric synthesis and analysis of stress-strain state of complex-shaped bodies as well as parametric synthesis and dynamics analysis of vibro-impact systems is developed. A method for determination of the kinematically generated surfaces and construction of the  finite element model is proposed. A new semi-analytical version of the boundary element method distinguished by accurate, not approximate, calculation of coefficients in the defining equations. A new method for solving the inverse problem of dynamics for vibro-impact systems, consisting in identification of impact-contact interaction forces and their temporal distribution in vibro-impact systems, is developed.

This work delivered several results of substantial practical importance: design recommendations for the prototypes of a hydrovolumetric transmission, a two-parameter gear drive and round-link chain drives, that resulted in ultimate design solutions with high performance  characteristics; scientifically grounded parameter identification for an improved design of a vibro-impact shake-out machine for large car casting. The approach developed in this work is extendable to design of a wide class of machine elements, which are in contact and perform coordinated movement along conjugate surfaces.

Total number of publications105 ( including94on the topic of the work).Besides, published in reviewed international journals‑ 9.Total number of citations according toSCOPUS‑ 25, collective citation index according toSCOPUS‑ 2.