Static modes switching in gear contact simulation

Abstract

Contact modeling is an active research area in the field of multibody dynamics. Despite the important research effort, two main challenging issues, namely accuracy and speed, are not yet jointly solved. One main issue remains the lack of model order reduction schemes capable to efficiently treat systems where multiple, a priori unknown, input-output locations are present. This work first analyzes the importance of including the necessary residual attachment modes by numerical simulation of two gears meshing in an ad-hoc flexible multibody model. Given the large number of residual attachment modes needed, the methodology named static modes switching is extended and successfully applied to improve efficiency. The method proposes an on line selection of residual attachment modes for accurate local deformation prediction. The applicability to impact problems is discussed through numerical experiments and the automatic selection strategy is based purely on geometrical information. Results show that the method can be applied to gear meshing simulation, obtaining a high level of accuracy while preserving computational efficiency. Comparisons are made between modally reduced models, full nonlinear finite element and the proposed strategy

A nonlinear parametric model reduction method for efficient gear contact simulations

“…The procedure for obtaining these residual global contact shapes, denoted by S i , is described in Section 3 and involves the repeated evaluation of an eigenvalue problem of reduced dimensions. Upon completion of this procedure, it can be shown that the resulting global contact shapes satisfy the following relations: where is the FE stiffness matrix of the i th gear.…”

“…A statically complete and computationally tractable procedure for the analysis of dynamic contact problems is provided by the static modes switching (SMS) method , which was applied to the gear contact problem by . Taking advantage of the observation that at each time step of the simulation only few out of many interface DOF will be loaded simultaneously, SMS makes use of a discontinuously changing basis matrix of minimal dimensions, containing only those static shape vectors that actually contribute to the solution .…”

Analysis of dynamic meshing characteristic of planetary gear transmission in wind power increasing gearbox

“…The tooth engagement behavior of beveloid gears was analyzed through formulating a pitch cone design theory by Zhu [7]. Tamarozzi et al [8] analyzed flexible multibody model of two meshing gears by numerical simulation. Dong et al [9] proposed a new method to study the contact fatigue life of gear-bearing system of a wind turbine.…”

“…Lumped parameter model and the finite element analysis (FEA) just for teeth were adopted in references [1][2][3][4][5][6][7][8][9][10] to analyze the dynamic characteristics of meshing contact transmission with parallel axis. However, the FEA just for teeth is not fully conformed to actual condition of planetary gear transmission in engineering application, leading to that the actual condition cannot be reflected in full scale.…”

A ‘nodeless’ dual superelement formulation for structural and multibody dynamics application to reduction of contact problems

“…Spring with unilateral contacts undergoing large rotation under impulse loading: variation in gap response between sheets at point A with varying number(1,5,10,20, 30) of residual modes.…”