Year: 2024
Type: conference-paper
Abstract: The response of slender engineered structures in close proximity to the lock-in frequency region exhibits multiple dominant frequencies that contribute to the quasiperiodic nature of the response.The difference in individual dominant frequencies increases significantly with increasing distance from the lock-in region.This effect alters the character of the response from apparently non-stationary to quasi-periodic, with the frequency of beating varying as the distance from the locking interval changes.In the presence of combined random and harmonic excitation, the response character varies between stationary, cyclo-stationary, and non-stationary, depending on the intensity of the stochastic component.While the probabilistic characteristics of a non-linear Single Degree of Freedom oscillator of the van der Pol type system on a slow time scale can be described using partial amplitudes of the response, this paper specifically focuses on the non-stationary case.The solution to the Fokker-Planck equation for the cross-Probability Density Function of the partial amplitudes is determined using the Galerkin approximation.For this purpose, orthogonal polynomial basis functions are utilized and assessed.
Source: Civil-comp conferences
DOI: 10.4203/ccc.9.8.4
Authors: C. Fischer, J. Náprstek
Language: English
Subfield: Aerospace Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
Award: G7599180421
OpenAlex ID: W4401882488