The application of no-matrix iteration method is studied to analyze the fluid-structure interaction in wind-induced vibration of membrane structure.Firstly

immersed object method（IOM） is employed to establish the finite element formula of membrane structures and the air flow.The weak form of the fluid-structure system is given using the IOM by introducing the fictitious domain.No-matrix Newton-Krylov iteration solution with pre-condition is proposed to solve the IOM established equations

with fluid velocity

fluid pressure

and solid pressure as the main unknowns.In the method

a pre-conditioning matrix rather than Jacobian matrix is needed for the calculation.Finite difference method is adopted to substitute the allowable velocity variance

which is a key step in the method.The presented method is then applied to analyze the fluid-structure interaction in wind-induced vibration of a double-sloped membrane structure.Wind pressure distribution and velocity vectors are obtained.Comparison is made between no-matrix iteration method with pre-condition and without pre-condition.And it is found that the one with precondition can greatly simplify the calculation.No-matrix iteration method applies well in studying fluid-structure interaction in wind-induced vibration of membrane structure

with accurate results

and with pre-condition

calculation efficiency is enormously improved.