Abstract
Aerodynamic stability of long-span roofs is investigated on the basis of computational fluid dynamics (CFD) with a large eddy simulation (LES). A forced vibration test is performed to obtain the unsteady aerodynamic forces for the first anti-symmetric mode. The CFD simulation method is first verified by comparing the results with the previous experimental results. Then, the unsteady aerodynamic forces, represented by the aerodynamic stiffness and damping coefficients, at the location of the anti-nodes of vibration as well as on the whole roof are computed for various wind velocities, vibration frequencies, and vibration amplitudes. The resonant effect and aerodynamic stability are discussed based on the results. Finally, the critical wind velocity that induces the aerodynamically unstable vibration is provided on the basis of the relation between the mass damping parameter and the non-dimensional wind velocity.
