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Equivalent static wind loads for structure with non-proportional damping
Last modified: 2013-04-19
Abstract
In current practice, wind structural design is often carried out by a proper recourse to the concept of equivalent static wind loads [1, 2]. The main characteristic of such loadings is to reproduce, with static instead of dynamic analyses, the same extreme structural responses as those resulting from a formal buffeting analysis. Over the last years, methods have been derived to compute such equivalent static wind loads for structures with quasi-static or resonant behavior, analysed in nodal or modal basis. Assumptions in these methods are a linear behavior of the structure, Gaussian responses and if the structure is analysed in the modal basis, a structural damping matrix built with the assumption of proportionality. This paper proposes a new method for the computation of equivalent static wind loads for structures with non-proportional damping. This method is based on recent results obtained with asymptotic expansion of the modal transfer matrix of such structures [3, 4]. As a main benefit, the static loading is described as a perturbation of the equivalent loading that would be obtained if the system was uncoupled. The main contribution of this paper is to formalize the expression of the first correction resulting from the non-proportionality of damping.
References
[1] M. Kasperski, Extreme Wind Load Distributions for Linear and Nonlinear Design, Engineering Structures, 14 (1) (1992) 27-34.
[2] J.D. Holmes, Effective static load distributions in wind engineering, Journal of Wind Engineering and Industrial Aerodynamics, 90 (2) (2002), 91-109.
[3] V. Denoël, H. Degée, Asymptotic expansion of slightly coupled modal dynamic transfer functions, Journal of Sound and Vibration, 328 (2009) 1–8.
[4] T. Canor, N. Blaise, V. Denoël, Efficient uncoupled stochastic analysis with non-proportional damping, Journal of Sound and Vibration, 331 (24) (2012) 5283-5291.
[2] J.D. Holmes, Effective static load distributions in wind engineering, Journal of Wind Engineering and Industrial Aerodynamics, 90 (2) (2002), 91-109.
[3] V. Denoël, H. Degée, Asymptotic expansion of slightly coupled modal dynamic transfer functions, Journal of Sound and Vibration, 328 (2009) 1–8.
[4] T. Canor, N. Blaise, V. Denoël, Efficient uncoupled stochastic analysis with non-proportional damping, Journal of Sound and Vibration, 331 (24) (2012) 5283-5291.
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