THE WIND-STRUCTURE INTERACTION EQUATION OF MEMBRANE ROOFS WITH SMALLSAG
With light mass, small stiffness and low natural vibration frequency, membrane roofs are sensitive to wind. Generally, wind loading may induce large displacement and acceleration of membrane roofs, which may result in the change of local flow field around the structure and even induce the aeroelastic instability. Therefore, the wind-induced vibrations of such structures should be analyzed on the basis of considering the wind-structure interaction. The wind-structure interaction equation of membrane roofs is studied in this paper. The equilibrium equation and the compatible equation of membrane roofs are obtained by applying the membrane theory of thin shallow shells in which the geometrical non-linearity of the structure is taken into account. The potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics are adopted to define the aerodynamic pressure on membrane roofs. Thus, the wind-structure interaction equation of membrane roofs is established.