Loading...

Modeling and optimization of an ultrasonic setup basedon combination of finite element method and mathematical full factorial design

Ghahramani Nick, M ; Sharif University of Technology | 2011

898 Viewed
  1. Type of Document: Article
  2. DOI: 10.4028/www.scientific.net/AMR.320.553
  3. Publisher: 2011
  4. Abstract:
  5. Ultrasonic assisted machining (UAM) is an efficient nontraditional machining operation for brittle, hard-to-cut and poor-machinability materials. In UAM, high frequency oscillation in ultrasonic range at low amplitude is imposed on the workpiece or cutting tool. In most cases, the equipments that generates and transfers the vibration, have a complicated structure, and requires significant effort to achieve their optimum function. In this work, a mathematical model is developed and an optimization method is employed for design process. This makes it possible to achieve proper setup and reduce the amount of calculation. For this purpose, the combination of a two level full factorial design is performed with data that are obtained from finite element model(FEM)are used. Based on the mathematical model, an objective function is defined with the objective of maximizing the vibration amplitude at longitudinal resonance frequency of 22 kHz. Genetic algorithm is used to optimize the design parameters according to the defined objective function. The obtained results are shown just an error about 0.03 percent between FEM modal analysis and mathematical model answer. The advantages of the proposed optimization method in ultrasonic setup design in case of complicated geometries is discussed. Therefore optimization methods via FEM data could be regarded as an efficient approach for design of complicated structures
  6. Keywords:
  7. Finite element analysis ; Genetic algorithm ; Mathematical model ; Complicated geometry ; Complicated structures ; Design parameters ; Design process ; FEM modal analysis ; Finite element models ; Full factorial design ; High frequency oscillations ; Low-amplitude ; Modeling and optimization ; Non-traditional machining ; Objective functions ; Optimization method ; Resonance frequencies ; Ultrasonic range ; Ultrasonic set-up ; Ultrasonic vibration ; Vibration amplitude ; Work pieces ; Computer science ; Finite element method ; Functions ; Genetic algorithms ; Modal analysis ; Optimization ; Structural design ; Mathematical models
  8. Source: Advanced Materials Research, 6 August 2011 through 7 August 2011, Dalian ; Volume 320 , 2011 , Pages 553-558 ; 10226680 (ISSN) ; 9783037852118 (ISBN)
  9. URL: http://www.scientific.net/AMR.320.553