COMPUTATION OF SHAPE DESIGN SENSITIVITIES FOR LINEAR FEM USING MODIFIED SEMI-ANALYTICAL METHOD

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HASSANZADEH MAHDI

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Journal: Modares Mechanical Engineering Year:2016 | Volume:15 | Issue:11 Page(s): 73-80

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Title

COMPUTATION OF SHAPE DESIGN SENSITIVITIES FOR LINEAR FEM USING MODIFIED SEMI-ANALYTICAL METHOD

Author(s)

HASSANZADEH MAHDI | Issue Writer Certificate

Keywords

DISCRETE SENSITIVITY METHOD (DSM)Q2

COMPLEX VARIABLE METHOD (CVM)Q1

SEMI-ANALYTICAL METHODQ1

FINITE ELEMENT METHOD (FEM)Q2

Abstract

Shape sensitivity analysis of finite element models is useful for structural optimization and design modifications. Within numerical design optimization, SEMI-ANALYTICAL METHOD for sensitivity analysis is frequently applied to estimate the derivative of an objective function with respect to the design variables. Generally, numerical sensitivity analysis commonly suffers from severe error due to the perturbation size, and finding a method which is not sensitive to the perturbation size is a topic under study. Complex variable methods for sensitivity analysis have some potential advantages over other methods. For first order sensitivities using the complex variable method, the implementation is straightforward, only requiring a perturbation of the finite element mesh along the imaginary axis. This paper uses a complex variable and combines it with discrete sensitivity analysis, thus a new method is presented to obtain derivatives for linear structure. The advantages of this method are that it is quick, accurate and simple to implement. The methodologies are demonstrated using two dimensional finite element models of linear elasticity problems with known analytical solutions. Obtained sensitivity derivatives are compared to the exact solution and also finite difference solutions and it is shown that the proposed method is effective and can predict the stable and accurate sensitivity results.

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APA: Copy

HASSANZADEH, MAHDI. (2016). COMPUTATION OF SHAPE DESIGN SENSITIVITIES FOR LINEAR FEM USING MODIFIED SEMI-ANALYTICAL METHOD. MODARES MECHANICAL ENGINEERING, 15(11), 73-80. SID. https://sid.ir/paper/177759/en

Vancouver: Copy

HASSANZADEH MAHDI. COMPUTATION OF SHAPE DESIGN SENSITIVITIES FOR LINEAR FEM USING MODIFIED SEMI-ANALYTICAL METHOD. MODARES MECHANICAL ENGINEERING[Internet]. 2016;15(11):73-80. Available from: https://sid.ir/paper/177759/en

IEEE: Copy

MAHDI HASSANZADEH, “COMPUTATION OF SHAPE DESIGN SENSITIVITIES FOR LINEAR FEM USING MODIFIED SEMI-ANALYTICAL METHOD,” MODARES MECHANICAL ENGINEERING, vol. 15, no. 11, pp. 73–80, 2016, [Online]. Available: https://sid.ir/paper/177759/en

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