OPTIMIZATION OF FREE FORM SHELLS UNDER STRESS CONSTRAINT AND USING B-SPLINE FUNCTIONS

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ABBASI PARIZAD FROUGH; HASSANI BEHROOZ; GHASEMNEJADMOGHARI HOSSEIN

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Journal: Modares Mechanical Engineering Year:2015 | Volume:14 | Issue:16 Page(s): 190-200

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Title

OPTIMIZATION OF FREE FORM SHELLS UNDER STRESS CONSTRAINT AND USING B-SPLINE FUNCTIONS

Author(s)

ABBASI PARIZAD FROUGH | HASSANI BEHROOZ | GHASEMNEJADMOGHARI HOSSEIN | Issue Writer Certificate

Keywords

SHAPE OPTIMIZATIONQ2

FREE FORM SHELLQ2

WILSON ELEMENTQ2

FINITE ELEMENT METHODQ2

B-SPLINEQ2

Abstract

SHAPE OPTIMIZATION of FREE FORM SHELL structures with different objective and constraint functions including the stress constraint is the subject of this article. To construct the geometry B-SPLINEs are employed that allow generating smooth free form geometries with a small number of parameters which are considered as the design variables of the optimization problem. For analysis, the FINITE ELEMENT METHOD, by using the Wilson’s quad shell element is employed. For SHAPE OPTIMIZATION, in each step of the optimization process the mesh generation, finite element analysis, sensitivity analysis and geometry update steps are repeated until convergence. Maximization of the stiffness of structure with volume constraint and the minimization of the weight of structure with the von Misses stress constraint are the problems addressed in this article. In both kinds of problems applicates of the control points is considered as the design variables of the SHAPE OPTIMIZATION problem and the sequential quadratic programming (SQP) is employed to solve the optimization problem. Since in this approach the derivatives of the objective and constraint functions are required, the sensitivity analysis is carried out in each step by the finite difference method. The quality and smoothness of the obtained results together with the convergence graphs of the presented examples are indicative of the usefulness and efficiency of the proposed approach for SHAPE OPTIMIZATION of shell structures.

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APA: Copy

ABBASI PARIZAD, FROUGH, HASSANI, BEHROOZ, & GHASEMNEJADMOGHARI, HOSSEIN. (2015). OPTIMIZATION OF FREE FORM SHELLS UNDER STRESS CONSTRAINT AND USING B-SPLINE FUNCTIONS. MODARES MECHANICAL ENGINEERING, 14(16), 190-200. SID. https://sid.ir/paper/177858/en

Vancouver: Copy

ABBASI PARIZAD FROUGH, HASSANI BEHROOZ, GHASEMNEJADMOGHARI HOSSEIN. OPTIMIZATION OF FREE FORM SHELLS UNDER STRESS CONSTRAINT AND USING B-SPLINE FUNCTIONS. MODARES MECHANICAL ENGINEERING[Internet]. 2015;14(16):190-200. Available from: https://sid.ir/paper/177858/en

IEEE: Copy

FROUGH ABBASI PARIZAD, BEHROOZ HASSANI, and HOSSEIN GHASEMNEJADMOGHARI, “OPTIMIZATION OF FREE FORM SHELLS UNDER STRESS CONSTRAINT AND USING B-SPLINE FUNCTIONS,” MODARES MECHANICAL ENGINEERING, vol. 14, no. 16, pp. 190–200, 2015, [Online]. Available: https://sid.ir/paper/177858/en

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