Phase trajectory portrait of the vibro-impact forced dynamics of two heavy mass particles motions along rough circle

Hedrih, Katica; Raičević, Vladimir; Jović, Srđan

doi:10.1016/j.cnsns.2011.05.027

Cited by 7 publications

(3 citation statements)

References 10 publications

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“…Also, system with vibroimpacts are important for engineering practice. Vibro-impacts are strong non-linearity with discontinuities in the system kinetic parameters and alternations of the forced and velocities directions in comparison before and after impacts (see Reference [102] an [104] by Hedrih (Stevanović), Raičević and Jović).…”

Section: Discussionmentioning

confidence: 99%

Advances in classical and analytical mechanics: A reviews of author’s results

Hedrih-Stevanović

2013

Theor appl mech (Belgr)

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A review, in subjective choice, of author?s scientific results in area of: classical mechanics, analytical mechanics of discrete hereditary systems, analytical mechanics of discrete fractional order system vibrations, elastodynamics, nonlinear dynamics and hybrid system dynamics is presented. Main original author?s results were presented through the mathematical methods of mechanics with examples of applications for solving problems of mechanical real system dynamics abstracted to the theoretical models of mechanical discrete or continuum systems, as well as hybrid systems. Paper, also, presents serries of methods and scientific results authored by professors Mitropolyski, Andjelic and Raskovic, as well as author?s of this paper original scientific research results obtained by methods of her professors. Vector method based on mass inertia moment vectors and corresponding deviational vector components for pole and oriented axis, defined in 1991 by K. Hedrih, is presented. Results in construction of analytical dynamics of hereditary discrete system obtained in collaboration with O. A. Gorosho are presented. Also, some selections of results author?s postgraduate students and doctorantes in area of nonlinear dynamics are presented. A list of scientific projects headed by author of this paper is presented with a list of doctoral dissertation and magister of sciences thesis which contain scientific research results obtained under the supervision by author of this paper or their fist doctoral candidates. [Projekat Ministarstva nauke Republike Srbije, br. ON174001: Dynamics of hybrid systems with complex structures]

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Section: Discussionmentioning

confidence: 99%

Advances in classical and analytical mechanics: A reviews of author’s results

Hedrih-Stevanović

2013

Theor appl mech (Belgr)

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“…In the References [28][29] phase trajectory portrait of the vibro-impact forced dynamics of two heavy mass particles motions along rough circle is investigated, and also vibro-impact of a heavy mass particle moving along a rough circle with two impact limiters was considered and studied.…”

Section: Vibro-impact Dynamics Of Multiple Collisions Of Two Difmentioning

confidence: 99%

Central collision of two rolling balls: theory and examples

Hedrih¹

2017

atam

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Paper is focused to central collision of two rolling rigid and heavy smooth balls and using elements of mathematical phenomenology and phenomenological mapping obtain corresponding post collision and outgoing angular velocities of the balls and applied these results for investigation vibro-impact dynamics of two rolling balls along circle trace. This task is fully solved and obtained results are original and new! Original plans of component impact velocities and angular velocity of each of two different rolling balls in central collision and corresponding outgoing angular velocities are presented. Use Petroviċ's elements of mathematical phenomenology, especially mathematical analogy between kinetic parameters of collision of two bodies in translator motion and collision of two rolling different size balls, new original expressions of two outgoing angular velocities for each of rolling balls after collision are defined. Using this new and original result vibro-impact dynamics of two rolling different heavy balls on the circle trace in vertical plane in period of series collisions is investigated. Use series of the elliptic integrals, new nonlinear equations for obtaining angles of balls positions at positions of collisions are defined. Branches of phase trajectories of the balls in vibro-impact dynamics are theoretically presented.

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“…In recent decades, vibroimpact dynamics have attracted much attention and some methods have been developed for studying the dynamical behavior of deterministic vibroimpact system [5][6][7][8][9]. Some interesting phenomena are found such as grazing bifurcation [10][11], chatter and sticking motions [12,13] based on numerical methods, which are different from the dynamic phenomena existing in smooth systems.…”

Section: Introductionmentioning

confidence: 99%