Abstract: It analyzed and studied the buckling and stability of the rocker of the picking manipulator by using the finite element method of nonlinear equations.When the linear finite element is used to analyze the force of the object, the traditional direct iteration will fail at the extreme point.In this paper, a new arc length iteration scheme is adopted, which can effectively solve this calculation problem. The simulation results of ANSYS Workbench show that when the load is added to the rocker of the picking manipulator, the displacement deformation range and strain force distribution range meet the design requirements, which has a certain reference significance for the modal and transient dynamic analysis of the rocker of the subsequent picking manipulator.