Ultrasonic Machining System-Modeling, Analysis, Evaluation and Selection

Abstract

Non conventional is the process used to overcome the drawbacks of conventional process. Two main tool techniques i.e. Graph Theoretic approach and MADM i.e. TOPSIS and Graphical methods i.e. Line Graph method and Spider Diagram Method are used in ultrasonic machining system. In this thesis work, an attempt is made to increase an integrated systems model for the creation of ultrasonic machining system in terms of its constituent and interaction between the constituent and process etc, using graph theory and matrix algebra. The ultrasonic machining system is first modeled with the help of graph theory, then by a variable adjacency matrix and then by permanent function. The permanent function is used to bring out structural analysis of ultrasonic machining system by correlating the different system with its structure. A physical representation has been related with each term of permanent function. Different structural parameters of ultrasonic machining system are identified to develop a graph theoretic model, a matrix model and a permanent function model of an ultrasonic machining system. It is useful for better understanding, comparison, ranking and optimum selection of ultrasonic machining system from the alternates of ultrasonic machining systems available in the global market, the multiple attribute decision making problems is solved by “TOPSIS” (Technique for Order Preference by Similarity to Ideal Solution). The techniques convert the database into knowledge base by taking into consideration normalization, relative weights, positive benchmark and negative benchmark for ultrasonic machining system. The selection procedure by TOPSIS allows short listing of ultrasonic machining parameter from a large number of parameter by using elimination search. The rank of a particular ultrasonic machining system is calculated by TOPSIS method and Graphical method with respect to the best possible ultrasonic machining system, say positive benchmarked for particular usage and then ranking was done based on comparison between TOPSIS and Graphical Method i.e. Line Graph and Spider Diagram method to get the overall best ranked ultrasonic machining system. The final decision is made by the user by taking into the consideration various factors i.e. Economic consideration, Availability etc. MADM approach provides technique for selection of best ultrasonic machining system for application under consideration. MADM and Graph theoretic Approach has been demonstrated with illustrative example.