Optimal Damping of Random Excited Systems

  • Ferenc KnoppEmail author
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


Through the case study of a simple mechanical system (mass, springs, damper) we analyse the effect of the damper coefficients on the output variance. The system described by a continuous differential equation is substituted with a discrete time (sampled) autoregressive moving average ARMA (3, 2) time series model. The displacement input (road profile) also characterized by an ARMA (p, q) stationary stochastic process. A variance transformation formula is derived which uses the (simulated) discrete impulse response function and the autocorrelations of the input signal. This formula is applied to the mechanical system searching the optimal damping which gives the minimal output variance.


Output Variance Time Series Model Stochastic Resonance Impulse Response Function Road Profile 
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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Budapest University of Technology and Economics (BME)BudapestHungary

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