Study on Design Sensitivity Analysis Based on EFG Method in Mechanical Shape Optimization

机译：基于EFG方法的机械形状优化设计灵敏度分析研究。

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The sensitivity analysis is a fundamental requirement for shape optimization. In this paper, the design sensitivity analysis based on element free Galerkin method is proposed, and the derivative of shape function with respect to design variable is obtained by utilizing the ideas of direct differential approach and semi-analytical method. The accuracy and consistency, computational costs and implementations efforts of building computation approaches is discussed. The most advantage of the approach presented is that the calculating process of DSA is similar to the solving process of EFG method. This approach can also be easily extended to 3-D. The example, which has the exact solution, is presented to test the derived arithmetic. The results obtained that there exists excellent agreement between the analytical solution and numerical results.

机译：灵敏度分析是形状优化的基本要求。本文提出了基于无单元伽辽金法的设计灵敏度分析，并利用直接微分法和半解析法的思想，获得了形状函数对设计变量的导数。讨论了构建计算方法的准确性和一致性，计算成本和实现工作。提出的方法的最大优点是，DSA的计算过程类似于EFG方法的求解过程。这种方法也可以轻松地扩展到3-D。给出了具有精确解的示例来测试派生的算法。结果表明，解析解与数值结果之间具有很好的一致性。

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来源
《International Conference on Mechanical Engineering and Mechanics vol.1; 20051026-28; Nanjing(CN)》|2005年|P.876-881|共6页
会议地点 Nanjing(CN)
作者
Shuguang GONG; Yanping CHEN; Yunqing HUANG; Aihong QIU; Guilan XIE;
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作者单位

Institute for Computation and Applied Mathematics, Xiangtan University, Hunan 411105, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类机械设计、计算与制图;
关键词
shape sensitivity analysis; element free galerkin method; shape optimization; direct differential method; semi-analytical method;

机译：形状灵敏度分析;无元素伽勒金法;形状优化;直接微分法;半解析法;

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1. Sensitivity analysis and shape optimization based on FE–EFG coupled method [J] . S. G. Gong, G. L. Xie, J. P. Zhang, Research in Engineering Design . 2009,第2期

机译：基于FE–EFG耦合方法的灵敏度分析和形状优化
2. Sensitivity analysis and shape optimization based on FE-EFG coupled method [J] . S. G. Gong, G. L. Xie, J. P. Zhang, Research in Engineering Design . 2009,第2期

机译：基于FE-EFG耦合方法的灵敏度分析与形状优化
3. Three-dimensional computer-aided design based design sensitivity analysis and shape optimization of the stem using adaptive p-method. [J] . Tanino H, Ito H, Higa M, Journal of Biomechanics . 2006,第10期

机译：基于三维计算机辅助设计的设计灵敏度分析和自适应P方法对杆的形状进行优化。
4. Study on Sensitivity Analysis and Shape Optimization Based on FE-EFG Coupled Method [C] . Dyrdin Valery V, rnYolkin Ivan S Computational Mechanics . 2007

机译：基于FE-EFG耦合方法的灵敏度分析与形状优化研究
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7. ABSTRACTudThe purpose of this research is to obtain an optimal formulations of Black mulberry leaves dried noodle product by using Design Expert Application with Design Mixture D-optimal method.udThis research was done with two phases. The preliminary procedures research is to determine levels of antioxidant activity, chlorophyll content, and the levels of tannin that was contained in black mulberry leaves, the black mulberry leaf flour, a pare fruits, and pare flour. Primary research is to determine the best formulation by using a Mixture Design Expert Design D-optimal method, for a purpose is to optimized the Black mulberry leaf dry noodle. Responses in this studies are a chemical analysis response by using a crude fiber analysis and protein analysis. Physical response is water absorption. Sensory response are color, flavor, and odor.udBlack mulberry leaves dried noodles was made from wheat flour, black mulberry leaf flour, and pare flour, other materials such as an eggs, water, salt, and sodium bicarbonate, of the 16 formulations that has offered to produce an optimal formulation based on desirability which contains 39.69 Flour,14.25 Black Mulberry Leaves flour, 3.06 Pare fruit and flour amounted, and other materials are 30 water, 10 eggs, 2 salt, and 1 sodium bicarbonate. The formulation has been result by program 11,05 crude fiber content, 12.93 protein, 274.31 water absorption, 4,31 for color attribute, 3,87 for taste attribute, and 3,71 for aroma attribute.ududKeyword: Black mulberry leaf dried noodles, optimization. [O] . Leti Nurlatifah Alumni, Yudi Garnida DS, Tantan Widiantara DS 2017

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机译：一种最可能的基于点的可靠性分析，灵敏度分析和设计优化方法

Study on Design Sensitivity Analysis Based on EFG Method in Mechanical Shape Optimization

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