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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Structural Engineering and Mechanics, An Int'l Journal Structural Engineering and Mechanics, An Int'l Journal Vol.75 No.3
- 발행연도
- 2020.1
- 수록면
- 311 - 325 (15page)
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초록· 키워드
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In applying the spectral stochastic finite element methods to the frequency response analysis, the conventional methods are known to give unstable and inaccurate results near the natural frequencies. To address this issue, a new sensitivity based stabilized formulation for stochastic frequency response analysis is proposed in this paper. The main difference over the conventional spectral methods is that the polynomials of random variables are applied to both numerator and denominator in approximating the harmonic response solution. In order to reflect the resonance behavior of the structure, the denominator polynomials is constructed by utilizing the natural frequency sensitivity and the random mode superposition. The numerator is approximated by applying a polynomial chaos expansion, and its coefficients are obtained through the Galerkin or the spectral projection method. Through various numerical studies, it is seen that the proposed method improves accuracy, especially in the vicinities of structural natural frequencies compared to conventional spectral methods.
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참고문헌 (31)
참고문헌 신청
Adhikari, S. / 2011 / Doubly spectral stochastic finite-element method for linear structural dynamics / J. Aerosp. Eng 24(3):264~276
Adhikari, S. / 2016 / The ‘damping effect’in the dynamic response of stochastic oscillators / Probabilistic Eng. Mech 44:2~17
Bathe, K. J. / 1985 / A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation / J. Numerical Methods Eng 21(2):367~383
Berveiller, M. / 2006 / Stochastic finite element: a non intrusive approach by regression / European Journal of Computational Mechanics/Revue Européenne de Mécanique Numérique 15(1-3):81~92
Blatman, G. / 2011 / Adaptive sparse polynomial chaos expansion based on least angle regression / J. Comput. Phys 230(6):2345~2367
Adhikari, S. / 2016 / The ‘damping effect’in the dynamic response of stochastic oscillators / Probabilistic Eng. Mech 44:2~17
Bathe, K. J. / 1985 / A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation / J. Numerical Methods Eng 21(2):367~383
Berveiller, M. / 2006 / Stochastic finite element: a non intrusive approach by regression / European Journal of Computational Mechanics/Revue Européenne de Mécanique Numérique 15(1-3):81~92
Blatman, G. / 2011 / Adaptive sparse polynomial chaos expansion based on least angle regression / J. Comput. Phys 230(6):2345~2367
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