Structural Engineering and Mechanics

  • 제52권3호
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  • Pages.525-540
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  • 2014
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Moment Lyapunov exponents of the Parametrical Hill's equation under the excitation of two correlated wideband noises

  • Janevski, Goran (Department of Mechanical Engineering, University of Nis) ;
  • Kozic, Predrag (Department of Mechanical Engineering, University of Nis) ;
  • Pavlovic, Ivan (Department of Mechanical Engineering, University of Nis)
  • 투고 : 2013.04.03
  • 심사 : 2014.05.30
  • 발행 : 2014.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

The Lyapunov exponent and moment Lyapunov exponents of Hill's equation with frequency and damping coefficient fluctuated by correlated wideband random processes are studied in this paper. The method of stochastic averaging, both the first-order and the second-order, is applied. The averaged $It\hat{o}$ differential equation governing the pth norm is established and the pth moment Lyapunov exponents and Lyapunov exponent are then obtained. This method is applied to the study of the almost-sure and the moment stability of the stationary solution of the thin simply supported beam subjected to time-varying axial compressions and damping which are small intensity correlated stochastic excitations. The validity of the approximate results is checked by the numerical Monte Carlo simulation method for this stochastic system.

키워드

과제정보

연구 과제 주관 기관 : Ministry of Education and Science of the Republic of Serbia

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피인용 문헌

  1. Higher-order stochastic averaging for a SDOF fractional viscoelastic system under bounded noise excitation vol.354, pp.17, 2017, https://doi.org/10.1016/j.jfranklin.2017.09.019
  2. Stochastic Responses for the Vibro-Impact System under the Broadband Noise vol.2019, pp.1875-9203, 2019, https://doi.org/10.1155/2019/2383576