A Region Based Method to Automated Design of Multi-Piece Molds with Application to Rapid Tooling

2002 ◽  
Vol 2 (2) ◽  
pp. 86-97 ◽  
Author(s):  
Yong Chen ◽  
David W. Rosen

Particularly for rapid tooling applications, delivering prototype parts with turn-around times of less than two weeks requires fast, proven mold design methods. We present a region-based approach to automated mold design that is suitable for simple two-piece molds (consisting of core and cavity), as well as molds with many additional moving sections. In our region-based approach, part faces are partitioned into regions, each of which can be formed by a single mold piece. The basic elements of our approach are concave regions (generalized pockets) and convex faces since these elements are central to the identification of regions. This paper focuses on the initial steps of automated mold design, including a problem formulation, methods for identifying the basic elements from part faces, and combining them into regions. By seeking to minimize the number of mold pieces, different partitions of faces into regions are explored until the smallest number of regions is found. During this process, a linear programming problem is adopted for finding a satisfactory parting direction of a region. Algorithms are presented for the region generating and combining process. Our approach is illustrated with several examples of industrial injection molded parts.

Author(s):  
Yong Chen ◽  
David Rosen

Abstract Rapid Tooling and multi-piece molds can dramatically reduce the lead-time for injection molded prototypes. A systematic approach based on regions is developed for automated design of multi-piece Rapid Tooling molds. Regions are connected collections of part faces that can be formed by one mold piece. This paper first formulates a linear programming problem for finding a satisfactory parting direction of a region. An approach to detect non-drafted and under-drafted faces during determination of parting direction is presented. An algorithm and related data representations are presented for the region combining process, intended to minimize the number of regions and, hence, mold pieces. Finally a test example and two industrial examples are provided which illustrate the effectiveness of the developed approach.


Author(s):  
Yong Chen ◽  
David Rosen

Abstract Mold design can be a difficult, time-consuming process. Particularly for rapid tooling applications, delivering prototype parts with turn-around times of less than two weeks requires fast, proven mold design methods. We present a region-based approach to automated mold design that is suitable for simple two-piece molds (consisting of core and cavity), as well as molds with many additional moving sections. In our region-based approach, part faces are partitioned into regions, each of which can be formed by a single mold piece. The basic elements of our approach are concave regions (generalized pockets) and convex faces since these elements are central to the identification of regions. This paper focuses on the initial steps of automated mold design, including a problem formulation and methods for identifying the basic elements from part faces. By seeking to minimize the number of mold pieces, different partitions of faces into regions are explored until the smallest number of regions is found. During this process, faces may be split and allocated to different regions. The scope of this paper is limited to the initial steps of the region forming process. We present alternative region forming algorithms and analyze their computational complexity. Our approach is illustrated with two examples of industrial injection molded parts.


2017 ◽  
Vol 27 (3) ◽  
pp. 563-573 ◽  
Author(s):  
Rajendran Vidhya ◽  
Rajkumar Irene Hepzibah

AbstractIn a real world situation, whenever ambiguity exists in the modeling of intuitionistic fuzzy numbers (IFNs), interval valued intuitionistic fuzzy numbers (IVIFNs) are often used in order to represent a range of IFNs unstable from the most pessimistic evaluation to the most optimistic one. IVIFNs are a construction which helps us to avoid such a prohibitive complexity. This paper is focused on two types of arithmetic operations on interval valued intuitionistic fuzzy numbers (IVIFNs) to solve the interval valued intuitionistic fuzzy multi-objective linear programming problem with pentagonal intuitionistic fuzzy numbers (PIFNs) by assuming differentαandβcut values in a comparative manner. The objective functions involved in the problem are ranked by the ratio ranking method and the problem is solved by the preemptive optimization method. An illustrative example with MATLAB outputs is presented in order to clarify the potential approach.


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