Optimum shape and topology design using the boundary element method |
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| Institution: | 1. Mechanical Engineering Department, Imperial College of Science, Technology and Medicine, Exhibition Road, London SW7 2BX, UK;1. Industrial Engineering and Engineering Management Department, Western New England University, Springfield, USA;2. Department of Mechanical Engineering, University of Malaya, Kuala Lumpur, Malaysia;3. Electrical Engineering and Computer Science Department, Case Western Reserve University, Cleveland, USA;4. Business Systems and Analytics Department, Distinguished Chair of Business Analytics, La Salle University, Philadelphia, USA;5. Business Information Systems Department, Faculty of Business Administration and Economics, University of Paderborn, Paderborn, Germany;1. Department of Mechanical and Materials Engineering, Florida International University, 10555 W Flagler St, Miami, FL 33174, USA;2. Department of Mechanical and Aerospace Engineering, George Washington University, 2121 I St NW, Washington, DC 20052, USA;1. GITECO (Construction Technology Applied Research Group), University of Cantabria, E.T.S. de Ingenieros de Caminos, Canales y Puertos, Av/Los Castros 44, 39005 Santander, Spain;2. LADICIM (Laboratory of Materials Science and Engineering), University of Cantabria, E.T.S. de Ingenieros de Caminos, Canales y Puertos, Av/Los Castros 44, 39005 Santander, Spain;1. School of Mechanical Engineering, Northwestern Polytechnical University, Xi’an 710072, PR China;2. Department of Mechanical Engineering, Northwestern University, Evanston 60201, IL, USA |
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| Abstract: | A procedure is developed for simultaneous shape and topology design optimization of linear elastic two-dimensional continuum structures. An intuitive approach is presented to treat such topological problems whereby material is eliminated from within the structure (by introducing holes at regions of low stress) through a sequence of shape optimization processes. A mathematical programming technique coupled with the boundary element (BE) method of response and sensitivity analyses enables the optimal positioning of these holes plus optimization of the overall structural shape. The analytical derivative BE formulation is explained together with the use of appropriate design velocity fields, and example problems are solved to demonstrate the optimization procedure. |
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