Statistical variation analysis of multi-station compliant assemblies based on sensitivity matrix

Gerbino, Salvatore; Patalano, Stanislao; Franciosa, Pasquale

doi:10.1504/ijcat.2008.021881

Cited by 20 publications

(8 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ideal part Liu and Hu, 15 Chang and Gossard, 17 Merkley, 18 Camelio et al, 19 Liao and Wang, 20 Xie et al, 21 Dahlströ m and Lindkvist, 22 Ungemach and Mantwill 23 Camelio et al, 16 Gerbino et al 24 Non-Ideal part Franciosa and colleagues [26][27][28] Jandaghi Shahi et al 29,30…”

Section: Compliantmentioning

confidence: 99%

“…To speed-up the assembly process simulation considering part-to-part interaction, Ungemach and Mantwill 23 integrated a linear contact search algorithm and a contact equilibrium criterion with MIC. In the same way, a linear methodology, called statistical variation analysis and finite element analysis (SVA-FEA), was introduced by Gerbino et al 24 to statistically simulate MSA systems. The above approaches rely on the ideal shape of the parts being assembled, and local deviations on joint features are assumed to be independent.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Integration of in-plane and out-of-plane dimensional variation in multi-station assembly process for automotive body assembly

Shahi

Masoumi

2019

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

Automotive body assembly systems contain multiple operations in multi-station processes. One of the most critical challenges for such manufacturing systems is dimensional quality, which is affected by the accumulation and propagation of variation caused by manufacturing imperfections. However, sheet metal part compliancy behavior makes the variation modeling method extremely intricate when both rigid (in-plane) and compliant (out-of-plane) variations are considered. This paper develops a more accurate variation propagation model to describe dimensional variation of sheet metal assembly in multi-station assembly system through involving both the variation types simultaneously as well as the impacts of assembly operations on each other. In this methodology, three sources of deviations—non-ideal parts, fixture errors, and assembly operations effects—are taken into account. The variation generated in every assembly operation (placing, clamping, fastening, and releasing steps) and the variation propagation through station-to-station interaction (repositioning) are analyzed by the transfer function mechanism. In the in-plane direction, the stream of variation analysis is adopted to obtain the rigid transfer function to describe the position and orientation relationships between part and assembly element errors. For the simulation of part deformation during the assembly process in the out-of-plane direction, the compliant transfer functions are extracted by variation response methodology. A nested state space model is used to integrate the overall assembly variation by updating part geometry after each assembly operation. The capability of proposed method is illustrated through a case study on an automotive body side assembly process.

show abstract

Section: Compliantmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Integration of in-plane and out-of-plane dimensional variation in multi-station assembly process for automotive body assembly

Shahi

Masoumi

2019

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

show abstract

“…SVA-FEA is linked, in background mode, to MSC NASTRAN® solver, used to calculate elastic displacements and generalized forces. More details about the SVA-FEA methodology can be found in (Gerbino et al, 2008).…”

Section: Sva-feamentioning

confidence: 99%

“…As stated before in this Chapter, for each assembly sub-station, a fixture frame and a fasten tool should be defined, simulating the classical PCFR cycle. As detailed in (Gerbino et al, 2008;Franciosa, 2010a), SVA-FEA calculates the influence that previous sub-stations have on the actual assembly station. Such dependencies can be accounted considering the assembly process as an oriented graph, in which each vertex corresponds to a station, while every edge represents a station-to-station relationship.…”

Section: Sva-fea Software: Assembly Tree Implementationmentioning

confidence: 99%

Advanced User-Interaction with GUIs in MatLAB®

Franciosa¹,

Gerbino²,

Patalano³

2011

Engineering Education and Research Using MATLAB

View full text Add to dashboard Cite

“…Gerbino et al. 18 proposed a statistical variation analysis method for multi-station sheet assembly, which uses “linear contacts” to eliminate penetration, also the implementation of presented method was carried out by MATLAB®. Ungemach and Mantwill 19 proposed an MIC-based compliant analysis method using a retroactive scheme to account for contact effect, in which less additional computing effort would be taken to consider contact nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Compliant assembly analysis including initial deviations and geometric nonlinearity, part II: Plate structure

Liu

Jin

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

Part I of this paper (Liu et al., “Compliant assembly analysis including initial deviations and geometric nonlinearity, part I: Beam structure”) has studied the variation propagation of beam structures with consideration of initial deviations and geometric nonlinearity. In practices, plate structures are more commonly used in manufacturing fields, and the attempt of this paper is to expand previous methodology for the assembly process of orthotropic composite plate structures. Similarly, initial deviations and von Kármán-type geometric nonlinearity are introduced into variation analysis model, with Mindlin plate theory accounting for shear effect. The analyzed plates are set as orthotropic composite materials, which also preserve the compatibility with isotropic metal materials. Governing equations and corresponding finite element expressions can be obtained by applying the principle of virtual work. Also, a linearized model or noninitial model can be regarded as a degradation of origin governing equations. A variation analysis approach for plate structures is proposed to make more refined assembly variation predictions with consideration of initial deviations, fixture errors, and matching deviations. The verification of the developed method is implemented with case studies on springback prediction of two composite plates assembly.

show abstract

Statistical variation analysis of multi-station compliant assemblies based on sensitivity matrix

Cited by 20 publications

References 10 publications

Integration of in-plane and out-of-plane dimensional variation in multi-station assembly process for automotive body assembly

Integration of in-plane and out-of-plane dimensional variation in multi-station assembly process for automotive body assembly

Advanced User-Interaction with GUIs in MatLAB®

Compliant assembly analysis including initial deviations and geometric nonlinearity, part II: Plate structure

Contact Info

Product

Resources

About