A nonlinear parametric model reduction method for efficient gear contact simulations

作者：Blockmans B; Tamarozzi T^*; Naets F; Desmet W

来源：International Journal for Numerical Methods in Engineering, 2015, 102(5): 1162-1191.

DOI：10.1002/nme.4831

• parametric model order reduction
• nonlinear model order reduction
• flexible multibody dynamics
• gear contact dynamics

A novel nonlinear parametric model order reduction technique for the solution of contact problems in flexible multibody dynamics is presented. These problems are characterized by significant variations in the location and size of the contact area and typically require high-dimensional finite element models having multiple inputs and outputs to be solved. The presented technique draws from the fields of nonlinear and parametric model reduction to construct a reduced-order model whose dimensions are insensitive to the dimensions of the full-order model. The solution of interest is approximated in a lower-dimensional subspace spanned by a constant set of eigenvectors augmented with a parameter-dependent set of global contact shapes. The latter represent deformation patterns of the interacting bodies obtained from a series of static contact analyses. The set of global contact shapes is parameterized with respect to the system configuration and therefore continuously varies in time. An energy-consistent formulation is assured by explicitly taking into account the dynamic parameter variability in the derivation of the equations of motion. The performance of the novel technique is demonstrated by simulating a dynamic gear contact problem and comparing results against traditional model reduction techniques as well as commercial nonlinear finite element software.

• 出版日期2015-5-4