Laboratory for 

      Manufacturing $ystem Realization and Synthesis

 
SOVA MODELING
MA/RS HOME->MA/RS ROADMAP->SOVA->MODELING->MULTIPLE STREAM SOVA

Title :Modeling and Analysis of Dimensional Variation in Multi-Station Multi-Stream Manufacturing Processes

Sponsor : NIST-ATP

Collaborators: R. Kumar, J. Kong, Y. Zhou, S. Gogoneni (Dimensional Control Systems)

Team: P. Hsieh and D. Ceglarek
Description:

SOVA state space model has been developed for modeling analysis, prediction and synthesis on product design at early design stage. Current SOVA model considers multi-station process configured as a single stream, i.e. a single assembly line. However, to adapt rapid market changes, most of current manufactures already use multi-station and multi-stream assembly system configuration to reduce the lead-time to market of a product. That means several parts are concurrently manufactured along different subassembly streams. We call this manufacturing method as multi-stream manufacturing. In this research, we will introduce a methodology of modeling and analysis dimensional variation for multi-station and multi-stream assembly system configurations. The objective is to integrate the configuration of assembly process and current SOVA model together such that we can analyze, predict, and synthesis dimensional variations with considering interactions between assembly streams. The methodology of building this model includes (1) constructing the information of assembly configuration to represent an assembly process by using incidence matrix and (2) modeling variation propagation in multi-station and multi-stream manufacturing process by integrating current SOVA model with information of assembly configuration (incidence matrix). By using this methodology, we can model the dimensional variation of a product with considering the relationship between overall configuration of assembly process and variation sources at each assembly stream. The model is validated through a case study of Warren truck by using 3DCS Analyst simulation software. This case study helps us having a better understanding of why and how using multi-stream SOVA model and allows us to have successful implementations of similar problems in practice.
 

 

1) SOVA MODEL: SINGLE STATION

Single station SOVA model models deviations from one station to another station represented as  one vertex to another vertex in process tree for a single part shown as in the above figure.

 

2) SOVA MODEL: SINGLE STREAM MULTI-STATION

Single stream SOVA model models deviations from initial station to the end station for a single part. It can be interpreted as the deviation from root vertex to the vertex of highest level in a process tree.

3) SOVA MODEL: MULTI-STREAM

3.1) Data Structure (Input to the SOVA Model) [Also see: A Graph-based Assembly Model for Dimensional Control]

 

 

3.2) Multi-Stream SOVA Model

The Multi-Stream SOVA model is defined by incidence matrix which allow to model interactions between station-to-station and stream-to-steam

3.2.1) Incidence Matrix 'M'

Each entry is defined by

3.2.2) Cumulated Deviation Matrix 'X'

 

3.2.3) Fixture Deviation Matrix 'F'

3.2.4) Multi-Stream SOVA Model

M.X=F

 
Research Papers
 

 
 
 
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