Variation Propagation Analysis on Compliant Assemblies Considering Contact Interaction

Xie, Kang; Wells, Lee J.; Camelio, Jaime A.; Youn, Byeng D.

doi:10.1115/1.2752829

Cited by 84 publications

(31 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Due to external loads applied to the mechanism, the final position of parts may vary according to their own stiffness, local deformations of contact surfaces and possible movements in the mechanical joint induced by the local gaps. A few studies related to isostatic mechanism could be cited like Shiu et al (2003) for static mechanisms, Soderberg et al (2006) and Cid et al (2007) proposing deformations of several parts, Xie et al (2007) and Hu and Camelio (2006) including the influence of the assembly sequence and the part deformations or Jaishankar et al (2012Jaishankar et al ( , 2013 using T-Map models. In the studies by Chevassus et al (2006), Breteau et al (2007) and Mounaud et al (2007), part deformations are introduced for overconstrained applications.…”

Section: Tolerance Study Of Overconstrained Assemblymentioning

confidence: 99%

Tolerance analysis of overconstrained and flexible assemblies by polytopes and finite element computations: application to a flange

et al. 2017

View full text Add to dashboard Cite

In industrial contexts, overconstrained assemblies are often used to ensure sufficient stiffness and accuracy of assembly. Such architectures are quite usual, however, analysis and synthesis of the tolerance are not easy to define and quantify. In these cases, the compliance of the assembly is not automatic and deformations may often occur, requiring a particular and difficult analysis of the assembly from scientific and computing points of view. The present work addresses such overconstrained mechanisms through a general and a sequential approach. Based on this, it is possible to determine the final assembly condition (with or without interference) as a function of part defects. First, the assembly procedure is performed based on polytope computations, assuming a rigid part behavior. From this, a stochastic simulation is performed and some non-compliant assemblies (assemblies with interferences) are identified. For these assemblies, the rigid behavior of parts is then overcome by means of finite element simulations and a typical procedure is set up to introduce part defects. We then deduce whether the assembly can be made from the load needed to assemble the parts. This procedure is applied to a flange composed of five pin / hole pairs, as this is a highly overconstrained mechanism. Nomenclature• t M−1,i/2,i : translation vector of surface i of part 1 in relation to surface i of part 2 at point M. If i = 0, we are considering the translation of the nominal geometry of part 1 in relation to the nominal geometry of part 2 at point M.• r 1,i/2,i : rotation vector of surface i of part 1 in relation to surface i of part 2. If i = 0, we are considering the rotation of the nominal geometry of part 1 in relation to the nominal geometry of part 2,• e M−1,i/1,0 : location defect vector of surface i of part 1 in relation to its nominal geometry at point M,• e M−2,i/2,0 : location defect vector of surface i of part 2 in relation to its nominal geometry at point M, 1• D n , D 1,i and D 2,i : the diameter of the nominal surface, the diameters of surface i of part 1 and surface i of part 2 respectively,• H − i, j : half-space of the contact constraint derived from the j th discretization point between surface i of part 1 and surface i of part 2,• P i : contact polytope of surface i of part 1 in relation to surface i of part 2,• P R : resulting contact polytope of part 1 in relation to part 2.

show abstract

Section: Tolerance Study Of Overconstrained Assemblymentioning

confidence: 99%

Tolerance analysis of overconstrained and flexible assemblies by polytopes and finite element computations: application to a flange

et al. 2017

View full text Add to dashboard Cite

show abstract

“…Plates. Numerous papers [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] can be found studying how to model assembly deviation for sheet metal assembly. Similar to sheet metal assembly, the assembly process of laminated composite plates is a type of compliant part assembly, which is comprised of four steps ( Fig.…”

Section: Assembly Process Of the Laminated Compositementioning

confidence: 99%

“…Shui et al [13] proposed a set of principles to decouple automotive parts into beam members, beam connectivity selection, beam-to-beam joint geometry modeling, and process locating points for dimensional control of assembly process. To predict assembly deviation more accurately, Liao and Wang [14] and Xie et al [15] considered the contact and friction between two assembly surfaces when they analyzed the nonlinear dimensional variation of sheet metal assemblies. In the assembly process, residual stress unavoidably exists in the assembly.…”

Section: Introductionmentioning

confidence: 99%

Stream of Variation Modeling and Analysis for Compliant Composite Part Assembly—Part I: Single-Station Processes

Zhang

Shi

2016

Journal of Manufacturing Science and Engineering

View full text Add to dashboard Cite

Composite structures are widely used due to their superior properties, such as low density, high strength, and high stiffness-to-weight ratio (Mallick, 1993, Fiber-Reinforced Composites: Materials, Manufacturing, and Design, Marcel Dekker, New York). However, the lack of methodologies for variation modeling and analysis of composite part assembly has imposed a significant constraint on developing dimensional control for composite assembly processes. This paper develops a modeling method to predict assembly deviation for compliant composite parts in a single-station assembly process. The approach is discussed in two steps: considering the part manufacturing error (PME) only and considering both the PME and the fixture position error (FPE). Finite element method (FEM) and homogenous coordinate transformation are used to reveal the impact of the PME and the FPE. The validity of the method is verified with two case studies on assembly deviation prediction of two composite laminated plates considering the PME only and both the PME and the FPE, respectively. The proposed method provides the basis for assembly deviation prediction in the multistation composite assembly.

show abstract

“…Cai et al 3 amended the MIC to deal with the non-linear frictional contact interaction between the parts or jigs. [4][5][6][7] In recent years, the MIC has been further studied and widely used in assembly planning, optimization, evaluation, variation source identification and productoriented sensitivity analysis. [8][9][10][11][12] Based on the MIC, Camelio proposed the state space method according to multi-step or multi-station assembly process, which is used to not only simulate the compliant assembly but also control or improve the process.…”

Section: Introductionmentioning

confidence: 99%

Location optimization of interchangeable parts in sheet metal assembly

Huan

2016

Proceedings of the Institution of Mechanical Engineers, Part B:

View full text Add to dashboard Cite

Stiffened panel is a kind of structure that is widely used in aviation manufacturing. Some sheet metal parts in the structure have three characteristics: place-interchangeable, large quantity and stochastic variation caused by spring back or distortion in manufacturing process, which prominently impacts the assembly variation. In order to minimize the influence and improve the assembly quality of stiffened panel, a model based on flexible beam is established and a simplified and approximate assembly variation prediction method is obtained. Furthermore, for the interchangeable sheet metal parts, the assembly location optimization method based on the algorithm of perfect match of weighted complete bipartite graph is proposed. At last, case study on a fuselage panel assembly is implemented. The finite element analysis results show the reliability of the simplified variation prediction method and the necessity of assembly location optimization.

show abstract

Variation Propagation Analysis on Compliant Assemblies Considering Contact Interaction

Cited by 84 publications

References 11 publications

Tolerance analysis of overconstrained and flexible assemblies by polytopes and finite element computations: application to a flange

Tolerance analysis of overconstrained and flexible assemblies by polytopes and finite element computations: application to a flange

Stream of Variation Modeling and Analysis for Compliant Composite Part Assembly—Part I: Single-Station Processes

Location optimization of interchangeable parts in sheet metal assembly

Contact Info

Product

Resources

About