Decomposition-Based Assembly Synthesis for Structural Modularity

A method for modular design of structural products such as automotive bodies is presented where two structural products are simultaneously decomposed to components considering the structural performances of each structure and the component sharing between two structures. The problem is posed as an optimization to minimize the reduction of structural strength due to the introduction of spot-weld joints and the number of redundant joints, while maximizing the manufacturability of the component and component sharing between two structures. As an extension to our previous work, this paper focuses on the simultaneous decomposition of two 3D beam-based structures. The major extensions include 1) a new, realistic definition of feasible joining angles based on the local geometry of joining components, 2) a component manufacturability evaluation that eliminates the need of specifying the number of components prior to decomposition and 3) a multi-objective optimization formulation that allows an effective exploration of trade-offs among different criteria. A case study on the simplified, 3D beam models of automotive bodies is presented to demonstrate the developed method.

[1]  Moreno Muffatto,et al.  Developing product platforms:: analysis of the development process , 2000 .

[2]  Niklas Sundgren,et al.  Introducing Interface Management in New Product Family Development , 1999 .

[3]  Marc Schoenauer,et al.  Genetic Operators for Two-Dimensional Shape Optimization , 1995, Artificial Evolution.

[4]  Kalyanmoy Deb,et al.  MULTI-OBJECTIVE FUNCTION OPTIMIZATION USING NON-DOMINATED SORTING GENETIC ALGORITHMS , 1994 .

[5]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[6]  Onur L. Cetin,et al.  Decomposition-Based Assembly Synthesis for Structural , 2004 .

[7]  Kunihiko Fujita,et al.  Product Variety Optimiza-tion: Simultaneous Optimization of Module Combination and Module Attributes , 2001 .

[8]  Kazuhiro Saitou,et al.  DECOMPOSITION-BASED ASSEMBLY SYNTHESIS BASED ON STRUCTURAL CONSIDERATIONS , 2002 .

[9]  Kalyanmoy Deb,et al.  A Fast Elitist Non-dominated Sorting Genetic Algorithm for Multi-objective Optimisation: NSGA-II , 2000, PPSN.

[10]  Kazuhiro Saitou,et al.  Topology Optimization of Multicomponent Beam Structure via Decomposition-Based Assembly Synthesis , 2005 .

[11]  Farrokh Mistree,et al.  Product platform design: method and application , 2001 .

[12]  Sridhar Kota,et al.  A Metric for Evaluating Design Commonality in Product Families , 2000 .

[13]  Jyh-Cheng Yu,et al.  Computer-aided design for manufacturing process selection , 1993, J. Intell. Manuf..

[14]  Javier P. Gonzalez-Zugasti,et al.  Assessing value in platformed product family design , 2001 .

[15]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[16]  D. W. Fanjoy,et al.  Topology Design of Planar Cross-Sections with a Genetic Algorithm: Part 1--Overcoming the Obstacles , 2002 .

[17]  Kazuhiro Saitou,et al.  Decomposition-based assembly synthesis for maximum structural strength and modularity , 2004 .

[18]  Geoffrey Boothroyd,et al.  Product design for manufacture and assembly , 1994, Comput. Aided Des..

[19]  Panos Y. Papalambros,et al.  Platform Selection Under Performance Loss Constraints in Optimal Design of Product Families , 2002, DAC 2002.

[20]  Timothy W. Simpson,et al.  Introduction of a product family penalty function using physical programming , 2000 .

[21]  D. Radaj.  Fatigue assessment of spot welds based on local stress parameters , 2000 .

[22]  Timothy W. Simpson,et al.  Assessing Variable Levels of Platform Commonality Within a Product Family Using a Multiobjective Genetic Algorithm , 2004, Concurr. Eng. Res. Appl..

[23]  Dana S. Nau,et al.  Automated manufacturability analysis: A survey , 1995 .

[24]  Jason C. Brown,et al.  Motor Vehicle Structures: Concepts and Fundamentals , 2001 .

[25]  Kazuhiro Saitou,et al.  Topology Optimization of Multi-Component Structures via Decomposition-Based Assembly Synthesis , 2003, DAC 2003.

[26]  Edwin R. Hancock,et al.  Inexact graph matching using genetic search , 1997, Pattern Recognit..

[27]  A. Globus,et al.  Automatic molecular design using evolutionary techniques , 1999 .

[28]  John E. Hopcroft,et al.  Linear time algorithm for isomorphism of planar graphs (Preliminary Report) , 1974, STOC '74.

[29]  Timothy W. Simpson,et al.  Asessing Variable Levels of Platform Commonality Within a Product Family Using a Multiobjective Genetic Algorithm , 2002 .

[30]  Matthew B. Parkinson,et al.  MULTICRITERIA OPTIMIZATION IN PRODUCT PLATFORM DESIGN , 1999, DAC 1999.

[31]  Juraj Bosák,et al.  Decompositions of Graphs , 1990 .

[32]  Steven Skiena,et al.  The Algorithm Design Manual , 2020, Texts in Computer Science.

[33]  Juraj Bosák.  Decomposition of graphs , 1990 .

[34]  Ortwin Hahn,et al.  Fatigue resistance of spot welds under multiaxial loads , 1996 .

[35]  M.H.W. Hobbs,et al.  Representing Space: A Hybrid Genetic Algorithm for Aesthetic Graph Layout , 1998 .

[36]  Kazuhiro Saitou,et al.  Modular Structural Component Design Using the First Order Analysis and Decomposition-Based Assembly Synthesis , 2001, Advanced Vehicle Technologies.