engleski

The piecewise full decoupling method for dynamic problems

The dynamic behavior of mechanical systems with clearances is often modelled by a set of piecewise linear equations of motion. Exact solutions of piecewise linear differential equations are very rare and almost all of the methods for thier solving are only approximate. The most commonly used solution methods are the classical numerical time integration (Runge-Kutta, etc.), the harmonic balance method, the incremental harmonic balance method and the finite element in time method. The piecewise full decoupling method is new developed numerical procedure based on piecing together equations of motion defined over stage stiffness regions. The mechanical system starts from an initial position described with one of the local equations of motion. When the system changes a stage stiffness region, the system is represented with the new equation of motion. The determination of times of flight in each stage stiffness region can be done only numerically, and local equation of motion are solved applying the state-space formulation.

nonlinear dynamics; piecewise full decoupling method; clearance

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