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Structural optimization of castings by using Abaqus and Matlab
Swedish Foundry Association, Jönköping, Sweden.
School of Engineering, Jönköping University, Jönköping, Sweden.ORCID-id: 0000-0001-6821-5727
2005 (engelsk)Inngår i: Proceedings of the Abaqus World Users' Conference, 2005Konferansepaper, Publicerat paper (Fagfellevurdert)
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Abstract [en]

In this work a general method for structural optimization of nonlinear structures is implemented using ABAQUS and Matlab. The method utilizes the response surface methodology with polynomial surfaces and nonlinear programming. In such manner a method that is applicable for a large number of different classes of nonlinear problems is obtained. For instance plasticity problems, thermomechanical problems and contact problems can be optimized using this strategy. In this paper, the method is utilized to minimize weight of castings by including residual stresses from solidification. This is performed by first determine the residual stresses by a thermomechanical analysis of a metal structure that is cooled down from a temperature above liquidus temperature down to room temperature. These residual stresses are then included when the problem of minimum of weight is formulated. The shape of the structure will of course affect the residual stress distribution during the optimization and the optimal shape will be different from the one obtained when residual stresses are not included in the analysis. The method is implemented by using a Python script and m-files. In such way a parameterized model can easily be treated in ABAQUS and Matlab during the optimization process. The parameterized geometry, loads, boundary conditions and mesh are first generated by the ABAQUS/CAE module. The nonlinear models are then solved using ABAQUS/Standard. A set of solutions are generated by solving the model for a pre-defined set of parameters. In order to minimize the number of simulations and still achieve good surface approximations these parameters are taken to be D-optimal. The sets of solutions and parameters are in turn exported to Matlab where general quadratic response surfaces are fitted by the least square method. By utilizing these surfaces the problem of minimum of weight subjected to constraints on stresses is formulated. Finally, the nonlinear optimization problem is solved by sequential linear programming where the linear part is solved using Matlab.

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URN: urn:nbn:se:oru:diva-48255OAI: oai:DiVA.org:oru-48255DiVA, id: diva2:904457
Konferanse
Abaqus World Users' Conference, Stockholm, Sweden, May 18-20, 2005
Tilgjengelig fra: 2007-04-26 Laget: 2016-02-15 Sist oppdatert: 2017-10-17bibliografisk kontrollert

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