Probabilistic solutions of a stretched beam discretized with finite difference scheme and excited by Kanai–Tajimiground motion

• Autorzy: Er G.-K. , Iu V. P. , Du H.-E.

Identyfikatory

DOI

10.24423/aom.3145

• Konferencja: Solid Mechanics Conference (SolMech 2018) (41 ; 27–31.08. 2018 ; Warsaw, Poland)
• Języki publikacji: EN

Abstrakty

EN

The probabilistic solutions of the elastic stretched beam are studied under the excitation of Kanai–Tajimi ground motion. Finite difference scheme is adopted to formulate the nonlinear multi-degree-of-freedom system about the random vibration of the beam. The state-space-split is employed to make the high-dimensional Fokker–Planck–Kolmogorov equation reduced to 4-dimensional Fokker–Planck–Kolmogorov equations which are solved by the exponential polynomial closure method for the probabilistic solutions of the system responses. The rules for selecting the state variables are proposed in order to reduce the dimensionality of Fokker–Planck–Kolmogorov equation by the state-space-split method. The numerical results obtained by the state-space-split and exponential polynomial closure method, Monte Carlo simulation method, and equivalent linearization method are presented and compared to show the computational efficiency and numerical accuracy of the state-space-split and exponential polynomial closure method in analyzing the probabilistic solutions of thestrongly nonlinear stretched beam systems formulated by a finite difference scheme and excited by the Kanai–Tajimi ground motion.

Słowa kluczowe

EN

stretched beam; nonlinear random vibration; FPK equation; Kanai–Tajimi ground motion; finite difference scheme

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2019
• Tom: Vol. 71, nr 4-5
• Strony: 433--457
• Opis fizyczny: Bibliogr. 54 poz.

Twórcy

autor

Er G.-K.

• Department of Civil and Environmental Engineering, University of Macau,Macau SAR, P. R. China

autor

Iu V. P.

• Department of Civil and Environmental Engineering, University of Macau, Macau SAR, P. R. China

autor

Du H.-E.

• Department of Civil and Environmental Engineering, University of Macau, Macau SAR, P. R. China

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).