Challenges in exact response of piecewise linear vibration isolator

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Abstract

In this chapter we study the determination of the frequency response of piecewise linear systems. The mathematical modeling of the system is presented and the method of obtaining the exact frequency response is explained. There are several challenges in calculating the exact frequency response of the system, such as: suitable step selection, multiple solutions in the set of equations, transition between amplitude/frequency curves. The method of determining the exact frequency response, and practical ways to overcome the challenges are reviewed.

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Pogorilyi, O., Jazar, R. N., & Trivailo, P. M. (2015). Challenges in exact response of piecewise linear vibration isolator. In Nonlinear Approaches in Engineering Applications: Applied Mechanics, Vibration Control, and Numerical Analysis (pp. 59–79). Springer International Publishing. https://doi.org/10.1007/978-3-319-09462-5_3

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