In the previous paper (Part 2), we proposed a set of wind force coefficients for designing free-standing canopy roofs, based on a series of wind tunnel experiments. The wind force coefficients for three types of roof geometries, i.e. gable, troughed and mono-sloped, were derived from a combination of the lift and aerodynamic moment coefficients. Assuming that four corner columns supported the roof, the axial forces induced in the columns were regarded as the most important load effect. The present paper investigates the validity and application of the proposed wind force coefficients. First, the coefficients are compared with the results of the LRC method. Then, it is discussed if the coefficients can be applied to the other roof supporting systems, for example, when two center or edge columns support the roof.
The estimation of the coherent structures existing in a random phenomenon is important for the study of fluctuating fields, such as the flow fields or the pressure fields around a structure. For the estimation of the coherent structures, Proper Orthogonal Decomposition (POD) is available, which is able to obtain the coherent structures as the principal components of the fluctuating fields. However the components calculated by the POD analysis are stationary modes in space, therefore it is impossible to express the advection phenomenon as a single principal component. In such a case, the complex POD analysis is available. In this paper, the procedure of the complex POD analysis is described. And also the interpretation of it by the use of the complex envelope is shown. The calculations of some model cases are carried out by the POD analysis and the complex POD analysis. By comparing the results, the effectiveness of the complex POD analysis is shown.