Aiming at the existing problems of the linear non-resonance vibrator dryer used in projects, the nonlinear nearby resonance double-mass vibrator dryer is applied. Following the introduction of the working principle, this paper analyzed the maximum transverse force of sieve plate on vibrator dryer when suffering sudden load of system, and performed finite element analysis of buckling deformation of leaf spring curved surface. The study shows that it is correct to consider the sudden load generated by the factors such as the material viscosity with temperature change and the heterogeneity of granularity. It is possible that transverse destabilization of the canister occurs when the buckling deformation of leaf spring suffers an action of lateral force from a sudden load. Finite element models based on the ANSYS software were established to analyze the stress of leaf spring. By investigating the physical response and the stress distribution, the buckling deformation of leaf spring in every step was solved. The above model can be widely used in the stability and the security of the system.