2015
DOI: 10.1016/j.asej.2014.10.009
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Parametric optimization of ultrasonic machining process using gravitational search and fireworks algorithms

Abstract: Ultrasonic machining (USM) is a mechanical material removal process used to erode holes and cavities in hard or brittle workpieces by using shaped tools, high-frequency mechanical motion and an abrasive slurry. Unlike other non-traditional machining processes, such as laser beam and electrical discharge machining, USM process does not thermally damage the workpiece or introduce significant levels of residual stress, which is important for survival of materials in service. For having enhanced machining performa… Show more

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Cited by 40 publications
(13 citation statements)
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“…GSA involves the interaction of masses under the influence of gravitational force in multiple dimensional search spaces and, ultimately, results in fast convergence due to sluggishness of the massive agent with approximately zero acceleration . The global solution corresponds the position of the most massive agent with a high tendency of attracting agents of lower masses . Supposing a search space containing kth agent in d‐dimension, it is defined by Equation : Xk=true(xk1,…..,xkdtrue), where k=1, 2,,NThe gravitational pull experienced by an agent with a characteristic mass, Mktrue(ttrue) as it interacts with another agent of mass, Mjtrue(ttrue), within a defined search space is depicted by Equation : normalFkjdtrue(ttrue)=Gtrue(ttrue)Mktrue(ttrue)Mjtrue(ttrue)Rkjtrue(ttrue)+ɛtrue(xjdtrue(ttrue)xkdtrue(ttrue)true)where Rkjtrue(ttrue), Gtrue(ttrue), and italicɛ respectively represent Euclidian distance, gravitational constant, and a constant random number.…”
Section: Formulation Of the Proposed Hybrid Intelligent Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…GSA involves the interaction of masses under the influence of gravitational force in multiple dimensional search spaces and, ultimately, results in fast convergence due to sluggishness of the massive agent with approximately zero acceleration . The global solution corresponds the position of the most massive agent with a high tendency of attracting agents of lower masses . Supposing a search space containing kth agent in d‐dimension, it is defined by Equation : Xk=true(xk1,…..,xkdtrue), where k=1, 2,,NThe gravitational pull experienced by an agent with a characteristic mass, Mktrue(ttrue) as it interacts with another agent of mass, Mjtrue(ttrue), within a defined search space is depicted by Equation : normalFkjdtrue(ttrue)=Gtrue(ttrue)Mktrue(ttrue)Mjtrue(ttrue)Rkjtrue(ttrue)+ɛtrue(xjdtrue(ttrue)xkdtrue(ttrue)true)where Rkjtrue(ttrue), Gtrue(ttrue), and italicɛ respectively represent Euclidian distance, gravitational constant, and a constant random number.…”
Section: Formulation Of the Proposed Hybrid Intelligent Modelmentioning
confidence: 99%
“…[41][42][43] The global solution corresponds the position of the most massive agent with a high tendency of attracting agents of lower masses. [44][45][46] Supposing a search space containing kth agent in d-dimension, it is defined by Equation (9):…”
Section: Operational Principles Of the Gravitational Search Optimizatmentioning
confidence: 99%
“…Fireworks algorithm (FWA), which can solve non-linear and complex numerical computation with high accuracy, is implemented in parameter optimization for MSVM kernel function parameters. Further numerous studies on solving practical optimization problems using the FWA method can be found (Goswami and Chakraborty, 2015; Tan and Zhu, 2010; Reddy et al, 2016; Zhang et al, 2016).…”
Section: Introductionmentioning
confidence: 99%
“…Based on the results, WSN method and UT method usually give better and comparable results for USM process compared to the others. Goswami and Chakraborty (2014) introduced gravitational search algorithm (GSA) and fireworks algorithm (FWA) for the parametric optimisation of USM processes. The effects of the algorithm parameters on the optimal solutions are investigated and a comparison between the two suggested algorithm and other population based algorithms has been carried out.…”
Section: Introductionmentioning
confidence: 99%