A Linearization Method Based on 3D Contact Model for the Steady-State Analysis Towards Complex Engineering Structures Containing Friction

In this paper, a linearization method based on 3D contact model for the steady-state response analysis of dry friction systems is proposed from the perspective of engineering application. The core is to equivalently express the nonlinear force described by the 3D contact model into distributed local linear damping and stiffness by means of linearization, and apply it to the finite element model of linear substructures with MATRIX 27 elements. In this way, the steady-state response can be calculated in ANSYS. The 3D contact model ensures the accuracy of the algorithm, and the linearization improves the efficiency. Besides, the stress can be directly displayed in ANSYS post-processing. The effectiveness and efficiency are verified both on the contact interface level and the structure level. Finally, the proposed method is applied to a real multi-stage stator casing with a friction ring damper. Results show that for this finite element model with 1944 nonlinear degrees of freedom, the average calculation time for one frequency is less than 5 s. The larger the scale of the model, the greater the benefit of efficiency.