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Response analysis under stochastic loading in presence of structural uncertainties
Author(s) -
Chiostrini Sandro,
Facchini Luca
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19991030)46:6<853::aid-nme677>3.0.co;2-7
Subject(s) - duffing equation , stiffness , stochastic process , random vibration , mathematics , gaussian , series (stratigraphy) , amplitude , statistical physics , restoring force , structural engineering , mathematical analysis , nonlinear system , engineering , physics , statistics , vibration , geology , paleontology , quantum mechanics
The response of a structure with random parameters (e.g. stiffness, or damping coefficients) is investigated, when it is subjected to a random load. The structural behaviour can be either linear or non‐linear, but the forcing process has been assumed to be second‐order Gaussian. A modified series expansion is used to determine response statistics, in the various cases of a Duffing oscillator with random stiffness and damping coefficients being subjected to a deterministic sinusoidal force, a random amplitude sinusoidal force, a Kanai–Taijimi‐type earthquake. Copyright © 1999 John Wiley & Sons, Ltd.