Wind-Induced Response and Universal Equivalent Static Wind Loads of Single Layer Reticular Dome Shells

Abstract

Wind pressure measurements were carried out for dome roofs with di®erent rise-span ratios (f=L ¼ 1=4; 1=6; 1=8) in a boundary wind tunnel. A parametric study was conducted to investigate the in°uences of wind loading and structural parameters on the wind-induced response and the universal equivalent static wind loads (ESWLs) of single-layer reticular dome shells, including the span, rise-span ratio, roof mass and the mean wind velocity. Results show that the rise-span ratio has a signi¯cant in°uence on the wind pressure distribution of the roof. High suction appears at the top of the roof with a larger rise-span ratio f=L ¼ 1=4, and it appears at the top and leading edge when f/L is 1/6 or 1/8. Many vibration modes should be included to analyze the wind-induced response of dome roof structures, and this makes it very di±cult to analyze the ESWL. The resonant response is larger than the background response. A method to calculate the universal ESWL for the building code is proposed for easy understanding by practicing engineers. Based on the distribution characteristics of the ESWL, simple fundamental vectors are constructed to recalculate the universal ESWL. This method is employed to divide the dome roof into four zones, and it also means that four fundamental vectors are used to evaluate the ESWL. Simpli¯ed expressions of universal ESWL in these four roof zones are proposed for the engineering design. All nodal displacements and structural member stresses under the universal ESWL agree well with actual peak responses.

A comprehensive review on estimation of equivalent static wind loads on long-span roofs

“…However, it may nullify itself if all the POD modes are greatly outnumbered by a wealth of WISRs in the complex linear structures for the greater errors between the accurate { r e } and the approximate WISRs subjected to { P E , f-u } (Sun et al, 2015), that is, the POD reduced-order talent will be even more eclipsed here. Another problem with the method is that only the background ESWLs can be computed in the articles of (Holmes, 1992, 2002, Ginger et al, 2000, Chen et al, 2006, 2012, 2014, Yang et al, 2013, Blaise and Denoel, 2013), and it doesn’t consider structural mechanical behavior and a possible resonant contribution in WISRs (Blaise and Denoel, 2013).…”

“…Therefore, equation (39) is multiplied by an adjustment factor β to express the total UESWLs for all member stress (Chen et al, 2018):In equations (39) and (40), the approximate and simple expressions of { φ k ( x , y )}can be found in Chen et al (2018). C k , f can be obtained like Chen et al (Chen et al 2012, 2014) and Yang et al (2013) in principle. However, to facilitate engineering application, the parametric results of the UESWLs can be simply expressed.…”

“…Enlightened by Katsumura et al (1994, 2005a, 2005b, 2007), Tamura and Katsumura (2012) and Chen and Yang (2019), Chen et al (Chen et al 2012, 2014) and Yang et al (2013) also ran the UESWLs on long-span roofs via the Two-Component-Method, in which the fluctuating ESWLs-{ P E , f } is a linear combination of some dominant POD modes and [ M ][ φ ][Λ] from the prominent structural modes/frequencies, i.e., both these POD modes and [ M ][ φ ][Λ] are excellent vehicles for the BWLDs. These POD modes and structural modes/frequencies can be specifically selected by the background response participation factor and Ritz-POD method, respectively.…”

Parametric study of the factors affecting the structural performance of braced domes subjected to gravity loads

“…The study showed that the type of dome does not significantly affect the deformation of the model. Chen et al (2014) examined the wind induced response and equivalent wind static load on lattice dome structures with different aspect ratio. The results of the study showed that rise-to-span had an important role on the wind pressure distribution of the roof.…”

Coupled wind-induced responses and equivalent static wind loads on long-span roof structures with the consistent load–response–correlation method

“…Nakayama et al (1998) proposed a method to choose a few vibration modes to calculate the wind-induced responses of domes. Chen et al, (2006Chen et al, ( , 2012Chen et al, ( , 2014 presented the Ritzproper orthogonal decomposition (POD) method to calculate the wind-induced responses of long-span roof structures. In order to cast a more convenient and physically meaningful description, dynamic wind loads are separated into background (quasi-static) and resonant components based on their frequency content (e.g.…”