A Mathematical Approach to Automatic Configuration of Machining Fixtures: Analysis and Synthesis

1989 ◽  
Vol 111 (4) ◽  
pp. 299-306 ◽  
Author(s):  
Y-C. Chou ◽  
V. Chandru ◽  
M. M. Barash

Drawing on screw theory and engineering mechanics, a mathematical theory for automatic configuration of machining fixtures for prismatic parts is developed. There are two parts in the theory: analysis and synthesis. The following functions of fixtures are analyzed: deterministic workpiece location, clamping stability, and total restraint. The synthesis of fixtures includes the determination of locating and clamping points on workpiece surface and the determination of clamping forces. The theory deals with the general case of 3-dimensional parts, polygon support (as opposed to three-point support), and multiple machining operations.

2000 ◽  
Vol 123 (4) ◽  
pp. 708-719 ◽  
Author(s):  
Rodrigo A. Marin ◽  
Placid M. Ferreira

This paper addresses the problem of generating a well-conditioned, near-optimal deterministic 3-2-1 location scheme. Given are a workpart with identified planar datum faces, each with an associated convex region of admissible locator positions, and a set of disturbing twists (resulting from the processing operations on the workpart). First, screw theory is used to identify easily implementable necessary and sufficient conditions for deterministic positioning of the workpart in a 3-2-1 locator scheme. Next, the conditioning of a location scheme is studied and combinatorial algorithms are developed for synthesizing near-optimally conditioned locator schemes. Interesting decomposition and restrictions on the search space are identified to make the synthesis procedure efficient.


Author(s):  
Y. F. Zhang ◽  
A. Y. C. Nee ◽  
J. Y. H. Fuh

Abstract One of the most difficult tasks in automated process planning is the determination of operation sequencing. This paper describes a hybrid approach for identifying the optimal operation sequence of machining prismatic parts on a three-axis milling machining centre. In the proposed methodology, the operation sequencing is carried out in two levels of planning: set-up planning and operation planning. Various constraints on the precedence relationships between features are identified and rules and heuristics are created. Based on the precedence relationships between features, an optimization method is developed to find the optimal plan(s) with minimum number of set-ups in which the conflict between the feature precedence relationships and set-up sequence is avoided. For each set-up, an optimal feature machining sequence with minimum number of tool changes is also determined using a developed algorithm. The proposed system is still under development and the hybrid approach is partially implemented. An example is provided to demonstrate this approach.


2021 ◽  
Vol 38 (4) ◽  
Author(s):  
Olga Kalaman ◽  
Tetiana Stupnytska ◽  
Yurii Melnyk ◽  
Karine Doicheva

The purpose of the presented research is to analyze, systematize and formulate an enterprise strategy based on the analysis and synthesis of opportunities and threats of the external environment in combination with its strengths and weaknesses. Unconventional structuring of SWOT-factors, as well as their local synthesis for determination of the driving and inhibiting forces of the enterprise, has been offered. Ways to identify trends and patterns of external and internal environment based on a generalized model of SWOT-factors have been identified. Decisive in formulating a strategy (self-organized in nature) is a harmonization model of the goals system. General theoretical methods (analogy, abstraction, analysis and synthesis, idealization, imaginary modeling) and practical methods of research (observation, comparison, matching, analysis of statistical and other indicators) were used to solve the problems of the research. Methods such as empirical, statistical, graphical, etc. were used to process and summarize information.Thus, the approach study to the enterprise strategy formation based on the analysis and synthesis of the environment opportunities and threats in combination with its strengths and weaknesses allows to state that the development of a common structured list of major areas of enterprise activity is carried out taking into account the synthesis of all SWOT-analysis of the brand product, competitors and market segments, which allows the company to achieve a certain specific purpose of its activities.


2013 ◽  
Vol 6 (1) ◽  
Author(s):  
Thierry Laliberté ◽  
Clément Gosselin

The concept of polyhedra with articulated faces is investigated in this paper. Polyhedra with articulated faces can be described as polyhedral frameworks, whose faces are constrained to remain planar. A mechanical arrangement based on a single type of component is proposed for the construction of the polyhedra. Then, the determination of their infinitesimal and full-cycle mobility is addressed. In some cases, they are rigid structures while in others they are articulated mechanisms. Finally, examples are given, using simulation and physical models, and several new families of articulated polyhedra are synthesized.


2020 ◽  
Vol 111 (1-2) ◽  
pp. 359-369
Author(s):  
Benedict Stampfer ◽  
Philipp Golda ◽  
Robert Schießl ◽  
Ulrich Maas ◽  
Volker Schulze

Abstract Cooling of machining operations by liquid nitrogen is a promising approach for reducing cutting temperatures, increasing tool life and improving the workpiece surface integrity. Unfortunately, the cooling fluid tends to evaporate within the supply channel. This induces process variations and hinders the use of nitrogen cooling in commercial applications. In this work, the coolant is applied via the tool’s rake face during orthogonal turning of Ti-6Al-4V. The effect of a nitrogen supply pressure adjustment and a subcooler usage—proposed here for the first time for machining—is analyzed in terms of process forces, tool temperatures and wear patterns, taken dry cutting as a reference. Thereby, reliable cooling strategies are identified for cryogenic cutting.


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