Computation of Shape Design Sensitivities on Thermo-Elastic Problems using Modified Semi-Analytical Method

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Sheikhi Azqandi M.; HASSANZADEH M.

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Journal: JOURNAL OF MECHANICAL ENGINEERING Year:2018 | Volume:48 | Issue:3 (84) Page(s): 157-166

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Title

Computation of Shape Design Sensitivities on Thermo-Elastic Problems using Modified Semi-Analytical Method

Author(s)

Sheikhi Azqandi M. | HASSANZADEH M. | Issue Writer Certificate

Keywords

Thermo-elasticity

Finite element

Optimization

Complex Variables Method (CVM)

Semi-Analytical Method

Abstract

The aim of the present paper is sensitivity of shape design analysis on thermo-elastic problems using a modified Semi-Analytical Method. The Semi-Analytical Method is one of the efficient methods for sensitivity analysis with respect to the design variables which combines the analytical method and finite difference method. Although this method is a powerful method, however, it is sensitive to perturbation size. Complex variables method is a new novel approach which is not sensitive to disturbance and has some potential advantages over other methods. The implementation of this method in a Finite element code for sensitivities calculation is straightforward, only requiring a perturbation of the Finite element mesh along the imaginary axis. This study uses the combination of analytical method and complex variables method to calculate the sensitivity of thermo-elastic problems. The proposed method has both advantages of the analytical method and the complex variables method. The advantages of this method are that it is quick, accurate and simple to implement. The obtained results are compared to other methods 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

Sheikhi Azqandi, M., & HASSANZADEH, M.. (2018). Computation of Shape Design Sensitivities on Thermo-Elastic Problems using Modified Semi-Analytical Method. JOURNAL OF MECHANICAL ENGINEERING, 48(3 (84) ), 157-166. SID. https://sid.ir/paper/270138/en

Vancouver: Copy

Sheikhi Azqandi M., HASSANZADEH M.. Computation of Shape Design Sensitivities on Thermo-Elastic Problems using Modified Semi-Analytical Method. JOURNAL OF MECHANICAL ENGINEERING[Internet]. 2018;48(3 (84) ):157-166. Available from: https://sid.ir/paper/270138/en

IEEE: Copy

M. Sheikhi Azqandi, and M. HASSANZADEH, “Computation of Shape Design Sensitivities on Thermo-Elastic Problems using Modified Semi-Analytical Method,” JOURNAL OF MECHANICAL ENGINEERING, vol. 48, no. 3 (84) , pp. 157–166, 2018, [Online]. Available: https://sid.ir/paper/270138/en

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