Reference : Second-order moment of the first passage time of a quasi-Hamiltonian oscillator with ...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Mechanical engineering
Engineering, computing & technology : Civil engineering
http://hdl.handle.net/2268/213521
Second-order moment of the first passage time of a quasi-Hamiltonian oscillator with stochastic parametric and forcing excitations
English
Vanvinckenroye, Hélène mailto [Université de Liège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil >]
Denoël, Vincent mailto [Université de Liège > Département ArGEnCo > Analyse sous actions aléatoires en génie civil >]
2018
Journal of Sound and Vibration
Elsevier
427
178-187
Yes (verified by ORBi)
International
0022-460X
1095-8568
United Kingdom
[en] This work focuses on the stochastic version of the linear Mathieu oscillator with both forced and parametric excitations of small intensity. In this quasi-Hamiltonian oscillator, the concept of energy stored in the oscillator plays a central role and is studied through the first passage time, which is the time required for the system to evolve from a given initial energy to a target energy. This time is a random variable due to the stochastic nature of the loading. The average first passage time has already been studied for this class of oscillator. However, the spread has only been studied under purely parametric excitation. Extending to combinations of both forcing and parametric excitations, this work provides a closed-form solution and a thorough analytical study of the coefficient of variation of the first passage time of the energy in this system. Simple asymptotic solutions are also derived in some particular ranges of parameters corresponding to different regimes.
http://hdl.handle.net/2268/213521
10.1016/j.jsv.2018.03.001

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