Proper Orthogonal Decomposition of Random Wind Pressure Field

Tamura, Yukio; Suganuma, S.; Kikuchi, Hirotoshi; Hibi, Kazuki

doi:10.1006/jfls.1999.0242

Cited by 160 publications

(66 citation statements)

References 14 publications

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“…However, it is not suitable to expanding the time-series data of wind pressure in this way. By using the first M orthonormal eigenvectors obtained by POD as a coordinate system and utilizing their orthogonality, expanding wind pressure data to each point on the whole surface can be carried out within an acceptable error [8], i.e., the expanded wind pressure field can be expressed as [9] 1 ( ) A full linear or non-linear time-history analysis using the measured wind tunnel data is the most accurate method for analysis of strength, deformation and stability of spatial structures. However, because it is very time-consuming, it is suitable primarily for final analysis.…”

Section: Dynamic Time-history Analysis For Wind-induced Responsesmentioning

confidence: 99%

Universal Equivalent Static Wind Load Estimation for Spatial Structures Based on Wind-Induced Envelope Responses

Wang

Tamura

et al. 2011

International Journal of Space Structures

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With the rapid development of new materials and structural techniques, many new kinds of spatial structural systems have been widely used for large-span roofs, such as the sport, exhibition and entertainment halls, and they are becoming more and more large-span and flexible. However, up to now, wind-resistant design of large-span spatial structures is still complex and difficult in practice due to their strong individuality and complexity of architectural shapes and lack of practical and feasible provisions in related codes for structural design especially. In this paper, a practical wind-resistant approach based on Wind-induced Envelope Responses, i.e., the maximum or minimum responses, including displacement of any nodes, internal forces (axial force, bending moment, torsional moment, or extreme stress, etc.) of any elements, reaction of any supports, etc., of the structures in question under the expected wind load action with any attack angle, is presented for this problem from the structural designers' point of view, and the advantages and disadvantages of the existing approaches used in wind-resistant design of large-span spatial structures, as well as the presented one, are analyzed at different aspects, such as necessary information of wind load, time consuming problem, convenience in practice, and so on. Finally, the convenience and efficiency of the presented approach is illuminated with two numerical examples of single layered reticulated shells based on the pressure information obtained from wind tunnel tests.

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Section: Dynamic Time-history Analysis For Wind-induced Responsesmentioning

confidence: 99%

Universal Equivalent Static Wind Load Estimation for Spatial Structures Based on Wind-Induced Envelope Responses

Wang

Tamura

et al. 2011

International Journal of Space Structures

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“…A comprehensive review on the subject is available in Solari et al (2005). Lumley (1970) and Armitt (1968) introduced this technique to address turbulence and wind-related problems, respectively, and it was later used by many researchers in describing pressure fluctuations on buildings and structures and a host of wind-related problems (e.g., Lee 1975; Kareem and Cermak 1984;Holmes 1992;Kareem 1999;Tamura et al 1999;Carassale et al 2001). In stochastic structural mechanics, the POD technique based on the covariance matrix has been utilized for the simulation of spatially varying correlated random variables (e.g., Yamazaki and Shinozuka 1990), stochastic finite element analysis (e.g., Ghanem and Spanos 1991), and stochastic dynamics (Li and Kareem 1989, 1995, Vasta and Schueller 2000.…”

Section: Proper Orthogonal Decompositionmentioning

confidence: 99%

“…This reduced-order representation, of course, must warrant that the important characteristics of the random field and related quantities remain unchanged, or the modification resulting from the approximate representation is acceptable. Several studies on the covariance matrix-based POD technique have demonstrated that truncating higher wind loading modes helps to expedite computations of global wind loads and their effects, e.g., Tamura et al 1999;Chen and Kareem 2000. However, truncation of higher modes may not work effectively in the case of local response, which may lead to an underestimation of the local wind loads and their effects (Chen and Kareem 2005).…”

Section: Proper Orthogonal Decompositionmentioning

confidence: 99%

Numerical simulation of wind effects: A probabilistic perspective

Kareem

2008

Journal of Wind Engineering and Industrial Aerodynamics

132

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Numerical simulations of wind loads and their effects are critical in the design of structures to ensure their safety under winds. The simulations range from generation of time histories of wind velocity, pressure and force fluctuations to structural response and assessment of attendant functionality and safety under service and design loads, respectively. Typically these schemes employ Monte Carlo based approaches that encompass model based simulations or information derived from observed data. The scope of simulations spans uni-variate to multivariate processes; uni-dimensional to multi-dimensional fields; Gaussian to non-Gaussian; stationary to non-stationary; conditional and unconditional cases. In order to accomplish these tasks, methods based on the time, frequency, or time-frequency domains are employed. This paper summarizes a historical perspective, recent developments and future challenges. Also included in the discussion are computational tools employed for data analysis, response analysis and its management, and prediction. Examples are presented to illustrate some of the topics discussed.

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“…A comprehensive review on the subject is available in Solari et al (2005). Lumley (1970) and Armitt (1968) introduced this technique to address turbulence and wind-related problems, respectively, and it was later used by many researchers in describing pressure fluctuations on buildings and structures and a host of wind-related problems (e.g.,Lee 1975; Kareem and Cermak 1984; Holmes 1992; Kareem 1999; Tamura et al 1999;Carassale et al 2001). In stochastic structural mechanics, the POD technique based on the covariance matrix has been utilized for the simulation of spatially varying correlated random variables (e.g.,Yamazaki and Shinozuka 1990), stochastic finite element analysis (e.g.,Ghanem and Spanos 1991), and stochastic dynamics (Li and Kareem 1989, Vasta and Schueller 2000.…”

Section: Proper Orthogonal Decompositionmentioning

confidence: 99%

Invited Lectures

Tamura

Kareem

Mochida

et al. 2006

Wind Engineers, JAWE

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In order to numerically simulate unsteady flow phenomena, LES or DNS technique should be used. Especially LES is appropriate for application in the wind engineering problem, because the requirement of computational power and memories is reasonable. The present study discusses the applicability of LES to several issues such as practical use for windresistant design, wind velocity affected by the terrain or the ground surface condition, turbulence structures and atmospheric diffusion in the urban area. Comparison with full-scale measurement data is important for all cases to clarify the effectiveness of LES.

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Proper Orthogonal Decomposition of Random Wind Pressure Field

Cited by 160 publications

References 14 publications

Universal Equivalent Static Wind Load Estimation for Spatial Structures Based on Wind-Induced Envelope Responses

Universal Equivalent Static Wind Load Estimation for Spatial Structures Based on Wind-Induced Envelope Responses

Numerical simulation of wind effects: A probabilistic perspective

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