Efficient Numerical Integration of the Equations of Motion of Non‐Smooth Mechanical Systems

A method for dealing with the numerical integration of non‐smooth mechanical dynamical systems is presented. This method is based on the integration of piecewise smooth parts and piecing these parts together with appropriate transition conditions. A distinguishing characteristic of this method is that it can deal with very close transitions. The method is applied to a forced friction oscillator with one degree of freedom, and a system of two coupled non‐linear oscillators in which one oscillator has an amplitude‐limiting stop.

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