Improved sensitivity analysis using a complex variable semi-analytical method |
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Authors: | Weiya Jin Brian H Dennis Bo Ping Wang |
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Affiliation: | 1. College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, 310032, China 2. Department of Mechanical & Aerospace Engineering, University of Texas at Arlington, Arlington, TX, 76019, USA
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Abstract: | The semi-analytical method (SAM) is a computationally efficient and easy to implement approach often used for the sensitivity
analysis of finite element models. However, it is known to exhibit serious inaccuracy for shape sensitivity analysis for structures
modeled by beam, frame, plate, or shell elements. In the present paper, we use a semi-analytical approach based on complex
variables (SACVM) to compute the sensitivity of finite element models composed of beam and plate elements. The SACVM combines
the complex variable method (CVM) with the semi-analytical method (SAM) to obtain the response sensitivity accurately and
efficiently. The current approach maintains the computational efficiency of the semi-analytical method but with higher accuracy.
In addition, the current approach is insensitive to the choice of step size, a feature that simplifies its use in practical
problems. The method is applicable to any structural elements including beam, frame, plate, or shell elements and only requires
minor modifications to existing finite element codes. |
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