A FE model updating method for the simulation of the assembly process of large and lightweight aeronautical structures

In the context of the assembly of large aeronautical structures, the flexibility of the parts often leads to the nonconformity of the assembly or, at least, requires additional time-consuming operations. In order to deal with this problem, one must take this flexibility into account during the tolerancing process.Investigations of a non-rigid-body tolerancing process have shown that a robust model is necessary in order to achieve satisfactory predictability. It was also found that the finite element model used, based on a simplified geometry, was not accurate enough. The approach proposed in this paper to obtain an accurate tolerancing process consists in updating the stiffness and mass properties of the FE model based on measurements taken on the assembly line during the assembly process. The objective is to take these measurements using only tools which are available on the chain (such as manipulation or control tools). This implies that only static strength and displacement information can be used. This is achieved through a clever measurement methodology and a model updating method based on the constitutive relation error. HighlightsWe propose a model updating process to improve the quality of a finite element model (mass and stiffness parameters).The method is applied to highly flexible structures.A measurement technology used to acquire the experimental data in the absence of any information on the actual weightless and load-free structure is proposed.The updating method is based on the concept of error in the constitutive relation.The method is illustrated and validated on two examples.

[1]  Huajun Li,et al.  Simultaneous Mass, Damping, and Stiffness Updating for Dynamic Systems , 2007 .

[2]  Pierre Feissel,et al.  Modified constitutive relation error identification strategy for transient dynamics with corrupted data : the elastic case , 2007 .

[3]  John E. Mottershead,et al.  Model Updating In Structural Dynamics: A Survey , 1993 .

[4]  Pierre Ladevèze,et al.  A robust CRE-based approach for model updating using in situ measurements , 2013 .

[5]  Ludovic Chamoin,et al.  Real-time validation of mechanical models coupling PGD and constitutive relation error , 2013 .

[6]  H. G. Natke PROBLEMS OF MODEL UPDATING PROCEDURES: A PERSPECTIVE RESUMPTION , 1998 .

[7]  Pierre Ladevèze,et al.  Reduced bases for model updating in structural dynamics based on constitutive relation error , 2002 .

[8]  Pierre-Alain Boucard,et al.  A suitable computational strategy for the parametric analysis of problems with multiple contact , 2003 .

[9]  Alain Stricher,et al.  Flexible tolerancing: A first step towards the use of nonlinear simulation of assembly , 2010 .

[10]  Laurent Champaney,et al.  Definition and updating of simplified models of joint stiffness , 2011 .

[11]  Philippe Bouillard,et al.  Building a suited reduced modal basis for updating 3D acoustic models with the constitutive law error method , 2007 .

[12]  S. Jack Hu,et al.  Variation simulation for deformable sheet metal assemblies using finite element methods , 1997 .

[13]  Pierre Ladevèze,et al.  Application of a posteriori error estimation for structural model updating , 1999 .

[14]  H. G. Natke Error localization within spatially finite-dimensional mathematical models , 1991 .

[15]  Laurent Champaney,et al.  A Computational Strategy for the Random Response of Assemblies of Structures , 2004 .

[16]  F. Hemez,et al.  Updating finite element dynamic models using an element-by-element sensitivity methodology , 1993 .

[17]  Laurent Champaney,et al.  Fast validation of stochastic structural models using a PGD reduction scheme , 2013 .