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Vehicle and Automotive Engineering pp 99–107Cite as

Optimal Damping of Random Excited Systems

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Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

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.

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References

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Author information

Authors and Affiliations

  1. Budapest University of Technology and Economics (BME), Budapest, Hungary

    Ferenc Knopp

Authors
  1. Ferenc Knopp
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Corresponding author

Correspondence to Ferenc Knopp .

Editor information

Editors and Affiliations

  1. Miskolci Egyetem, University of Miskolc Miskolci Egyetem, Miskolc, Egyetemvaros, Hungary

    Károly Jármai

  2. Miskolci Egyetem, University of Miskolc Miskolci Egyetem, Miskolc, Hungary

    Betti Bolló

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Knopp, F. (2017). Optimal Damping of Random Excited Systems. In: Jármai, K., Bolló, B. (eds) Vehicle and Automotive Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-51189-4_10

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  • DOI: https://doi.org/10.1007/978-3-319-51189-4_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-51188-7

  • Online ISBN: 978-3-319-51189-4

  • eBook Packages: EngineeringEngineering (R0)

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