Abstract
The contribution regards a mathematical single-degree-of-freedom model of a slender structure vibrating in an air flow. Based on an experimental investigation, movement of such structures can be expressed by van der PolDuffing-type equations. Several particular configuration parameter settings for a white and non-white Gaussian random excitation together with deterministic harmonic forcing are considered and numerically analysed. The results support recently published analytic formulas.
Highlights
Movement of slender structures vibrating in an air flow can be modelled by van der Pol-Duffing-type equations
It is worthwhile to note that the character of the random excitation enters the theoretical formulas Eqs. (4,5) only through the value S, which corresponds to the value of the corresponding power spectral density at a single frequency
The approximative numerical stochastic analysis of a non-linear single-degree-of-freedom model was presented as a complement of previously published analytical formulas
Summary
Movement of slender structures vibrating in an air flow can be modelled by van der Pol-Duffing-type equations. The vortex shedding, which appears behind the structure, may induce a regular excitation, turbulence generated by an air circumfluence around the profile and its surface irregularities may cause random fluctuations of pressure. For the case of a combination of harmonic/random excitation is taken into account, the analytic formula was derived to distinguish two distinct phase shifted components of the response. This information is unavailable in the numerical results, in such a case only approximative comparison is presented.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
