The stability of plunge pool slab of drainage structure is crucial to energy dissipation,but the working conditions of counter-arched slab are very complex and its stress procedure is considerably nonlinear and coupling.Therefore,a nonlinear static and dynamic coupling method to analyze the counter-arched slab configuration is put forward,which can reflect the coupling of dynamic loads,slab,anchor bars,groundwork and abutment as well as the dynamic procedure of instability.Various nonlinear factors and static-dynamic coupling are taken into consideration,and the working conditions,stress mechanism,dynamic instability procedure and influential instability factors are revealed.The proposed method thus provides a comprehensive safety evaluation method of plunge pool,which further pro-vides an important theoretical basis for engineering design of counter-arched slab in plunge pool.