Modeling of the quasi-periodic galloping response type under combined harmonic and random excitation

0539606 - ÚTAM 2022 RIV GB eng J - Článek v odborném periodiku
Náprstek, Jiří - Fischer, Cyril - Pospíšil, Stanislav - Trush, Arsenii
Modeling of the quasi-periodic galloping response type under combined harmonic and random excitation.
Computers and Structures. Roč. 247, April (2021), č. článku 106478. ISSN 0045-7949. E-ISSN 1879-2243
Grant CEP: GA ČR(CZ) GA19-21817S; GA ČR(CZ) GA19-04695S
Institucionální podpora: RVO:68378297
Klíčová slova: Van der Pol equation * lock-in regime * combined harmonic and random excitation * quasi-periodic response * detuning in the resonance zone * rod with ice accretion * flow induced vibration
Obor OECD: Civil engineering
Impakt faktor: 5.372, rok: 2021
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.compstruc.2020.106478

The paper presents a mathematical Single-Degree-of-Freedom model of a cable with ice accretion vibrating in an air flow. It follows an experimental investigation of several aeroelastic models in a wind tunnel. The analysis of the experimental data is very complicated because a number of structural and stream characteristics mutually interact. Distinction between deterministic and random response components is only possible using a theoretical solution. The vibrational movement of the models used can be expressed by van der Pol-Duffing type equations. The aeroelastic excitation that is due to the air flow is modeled as an additive process consisting of a deterministic periodic part and random components. The paper investigates several particular configuration parameter settings for a non-white Gaussian random part of an excitation process and characterizes corresponding response properties. The Fokker-Planck equation is constructed for the random part of the response, and its semi-analytical solution in exponential form is expressed using a probability potential. Partial amplitudes of a harmonic approximation of the response are determined using the stochastic averaging strategy. The existence of a stationary probability distribution of the response is investigated, and its stochastic stability is assessed. Open problems and further research steps are outlined.
Trvalý link: http://hdl.handle.net/11104/0318751