Conceptual Design, Functional Decomposition, Mathematical Modelling, and Perturbation Analysis

2000 ◽  
pp. 38-45 ◽  
Author(s):  
S. Dierneder ◽  
R. Scheidl
Keyword(s):  
Mathematical Modelling ◽  
Conceptual Design ◽  
Perturbation Analysis ◽  
Functional Decomposition

scholarly journals Supporting resilient conceptual design using functional decomposition and conflict resolution

2021 ◽  
Vol 48 ◽  
pp. 101262
Author(s):  
Xin Guo ◽  
Ying Liu ◽  
Wu Zhao ◽  
Jie Wang ◽  
Ling Chen
Keyword(s):  
Conflict Resolution ◽  
Conceptual Design ◽  
Functional Decomposition

A Mathematical Functional Decomposition Approach Through Granularity Partition Process in Quotient Space

2018 ◽  
Author(s):  
Y. T. Li ◽  
Y. X. Wang
Keyword(s):  
Conceptual Design ◽  
Quotient Space ◽  
Lower Layer ◽  
Solution Space ◽  
Decomposition Process ◽  
Decomposition Approach ◽  
Functional Decomposition ◽  
Topological Structures ◽  
Functional Reasoning ◽  
Partition Process

Over the past decades, several methodologies have coalesced around the functional decomposition and partial solution manipulation techniques. These methodologies take designers through steps that help decompose a design problem and build conceptual solutions based on the intended, product functionality. However, this kind of subjective decomposition restricts solutions of conceptual design within designers’ intended the local, rather the whole, solution space. In such cases, the ability for AI-based functional reasoning systems to obtain creative conceptual design solutions is weakened. In this paper, a functional decomposition model based on the domain decomposition theory in quotient space is proposed for carrying out functional decomposition without needing functional reasoning knowledge to support. In this model, the functional decomposition is treated as a granularity partition process in quotient space composed of three variables: the domain granularities, the attribute properties, and the topological structures. The closeness degrees and the attribute properties in fuzzy mathematics are utilized to describe the fuzzy equivalence relations between the granularities in the up-layer and in the lower-layer of the functional hierarchies. According to the order characteristics in the partially sequential quotient space, based on the homomorphism principle, the attribute properties and the topological structures corresponding to the lower-layer of the functional hierarchies are constructed then. Here, the attribute properties are expressed with membership functions pointed to the lower-layer from the up-layer of the functional hierarchies, and the topological structures are expressed with matrixes and the directed function network represent the topological connections among the subfunctions in the lower-layer of the functional hierarchies. Through refining the functional decomposition process step by step, and traversing all tree branches and leaf nodes in the functional decomposition tree, the functional hierarchies are obtained. Since the functional decomposition process not need the user to indicate or manage desired functionality, the model presented in this paper can reduce designers’ prejudices or preconceptions on the functional hierarchies, as well as extend the solution space of conceptual design.

A hybrid approach for the automation of functional decomposition in conceptual design

2016 ◽  
Vol 27 (4-6) ◽  
pp. 333-360 ◽  
Author(s):  
Lin Yuan ◽  
Yusheng Liu ◽  
Zhongfei Sun ◽  
Yanlong Cao ◽  
Ahsan Qamar
Keyword(s):  
Conceptual Design ◽  
Hybrid Approach ◽  
Functional Decomposition

A Hierarchical Material Flow Based Automated Functional Decomposition for Conceptual Design of Working Machines

2014 ◽  
Author(s):  
Lin Yuan ◽  
Yusheng Liu
Keyword(s):  
Conceptual Design ◽  
Material Flow ◽  
Transformation Model ◽  
Input Output ◽  
Primary Input ◽  
Functional Decomposition ◽  
Functional Representation ◽  
Operation Process ◽  
Internal Structures ◽  
Functional Representations

The purpose of conceptual design is to build the function structure and find the principle solution for fulfilling it. A formal functional representation is needed for decomposing the overall function to sub-functions with the computer-aid reasoning process. However, the existing functional representations lack of supporting the description of attributes and internal structures of input/output material flows. Material flow may be much more complicated than the other two kinds of flows (signal flow and energy flow) since its geometry and topology may be very complex, and which hinders the automated functional decomposition. In this paper, we propose a hierarchical material representation for the working machines which use material as the primary input/output flows. We combine input/output transformation model with “verb+noun” pairs, using the standard vocabulary of functional basis, to model function formally and objectively. Therefore, the functional effects can be inferred from the information contained in flows. Moreover, we propose the concept of action as an operation process that bridge what and how of one function to guide the further decomposition. Finally, a prototype tool is developed as a MagicDraw’s plug-in to implement the decomposition process.

Towards Rules for Functional Composition

2008 ◽  
Author(s):  
Benjamin W. Caldwell ◽  
Gregory M. Mocko
Keyword(s):  
Conceptual Design ◽  
Functional Model ◽  
Functional Composition ◽  
Functional Decomposition ◽  
Functional Basis ◽  
Functional Models ◽  
Hierarchical Levels ◽  
Unknown Solution

Functional decomposition is used in conceptual design to divide an overall problem with an unknown solution into smaller problems with known solutions. The procedure for functional decomposition, however, has not been formalized. In a larger effort to understand and develop rules for functional decomposition, this paper develops rules for composition of reverse-engineered functional models. First, the functional basis hierarchy is used in an attempt to compose the functional model of a hair dryer, which does not produce the desired results. Second, a set of rules for composition is presented and applied to the hair dryer functional model. This composed functional model is more similar to the desired decomposition result than the functional model developed by changing hierarchical levels. Ten additional functional models are also composed and the results shown. The findings demonstrate that composition rules can be developed empirically through analysis of functional models.

Innovative Conceptual Design

2001 ◽  
Author(s):  
Ehud Kroll ◽  
Sridhar S. Condoor ◽  
David G. Jansson
Keyword(s):  
Conceptual Design
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