Asymptotic steady state behavior of fractionally damped systems

DOI10.1016/0016-0032(87)90057-3zbMath0626.73061OpenAlexW2056607968MaRDI QIDQ581071

Sangwoo Chung, Joe Padovan, Yue Hua Guo

Publication date: 1987

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(87)90057-3

zbMATH Keywords

asymptotic expansionsclosed form steady state solutionsdamped structural systemsdissipative/hysteretic effectsforced vibratory responseN-dimensional systemsRiemann-Liouville type fractional integro-differential operators

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Fractional derivatives and integrals (26A33) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (2)

General response of viscoelastic systems modelled by fractional operators ⋮ HEREDITARY EFFECTS OF EXPONENTIALLY DAMPED OSCILLATORS WITH PAST HISTORIES

Cites Work

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• Spectral/critical speed characteristics of structure subject to moving loads
• Computational algorithms for FE formulations involving fractional operators
• L'intégrale de Riemann-Liouville et le problème de Cauchy

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