Steady-State Motions of Machines with Finite Degree of Freedom Influenced by Position and Velocity Depending Forces
|International Journal of Mechanical Engineering|
|© 2018 by SSRG - IJME Journal|
|Volume 5 Issue 1|
|Year of Publication : 2018|
|Authors : V. S. Jivkov|
V. S. Jivkov, "Steady-State Motions of Machines with Finite Degree of Freedom Influenced by Position and Velocity Depending Forces" SSRG International Journal of Mechanical Engineering 5.1 (2018): 26-30.
V. S. Jivkov,(2018). Steady-State Motions of Machines with Finite Degree of Freedom Influenced by Position and Velocity Depending Forces. SSRG International Journal of Mechanical Engineering 5(1), 26-30.
An algorithm for solution of non-linear differential equations, describing the steady-state motion (T-periodical) of the mechanical systems with one or finite number of degree of freedom is presented. The initial approximation of the solution is obtained in poly-harmonic form, which is one of the most important merits of the proposed approach. Criteria for estimation of the number of harmonics in the stationary solution are minimization of the approximation’s iterations. Essentially, the problem defined in the paper is solved by a first order linear differential equation with one degree of freedom. For the systems with finite number degree of freedom the application of the method leads to solution of an extreme task with many variables.
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steady-state motion of machine’s units; solution in harmonics; non-linear equations