Block Krylov subspace methods for the computation of structural response to turbulent wind

• Published in: Computer methods in applied mechanics and engineering 2011-06, Vol.200 (23), p.2067-2082
• Main Authors: Barbella, G., Perotti, F., Simoncini, V.
• Format: Article
• Language: English
• Subjects: Block methods; Deflation techniques; Dynamic response; Earth, ocean, space; Exact sciences and technology; External geophysics; Fluid-structure interaction; Frequency domain analysis; Frequency domains; Fundamental areas of phenomenology (including applications); Iterative nonsymmetric solvers; Mathematical models; Meteorology; Physics; Solid mechanics; Stemming; Structural and continuum mechanics; Subspace methods; Turbulent flow; Turbulent wind; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Winds and their effects
• ISSN: 0045-7825; 1879-2138
• DOI: 10.1016/j.cma.2011.02.017

In this paper the numerical computation of the dynamic response to turbulent wind excitations of slender structures is addressed. A numerical procedure capable to effectively estimate the three-dimensional structural behavior is proposed, based on a direct frequency domain approach. A probabilistic description of the wind velocity field, accounting for the correlation between the turbulence components, is combined to a linearized fluid–structure interaction model, under the quasi-steady hypothesis. We propose robust implementations of multiple right-hand side and multiple shift Krylov subspace methods with deflation of basis vectors, which allow us to efficiently analyze the dynamic response for a wide range of frequency values and wind time histories. Numerical experiments are reported with data stemming from real structure modeling.