期刊文献+

基于保形分段三次Hermite插值的响应面法 被引量:5

Response Surface Method Based on Shape-Preserving Piecewise Cubic Hermite Interpolation
下载PDF
导出
摘要 基于可靠性分析理论,用保形分段三次Hermite插值方法构造响应面函数,以避免在整个设计空间内用一个形式固定的简单函数拟合隐式极限状态函数。插值中采用保形技术,可保证函数值不过度偏离给定数据。算例结果表明:采用保形分段三次Hermite插值方法构造响应面函数的拟合精度高于传统响应面函数。 Based on the reliability theory, response surface function was established by shape-preserving piecewise cubic Hermite interpolation in this paper, which would avoid to fit the implicit safe margin function by immovable simple function in the whole desigen space. In the process of interpolation, the technique of shape- preserving was applied, so it could ensure that the value of funtion did not deviate the given information. The result of examples was showed that the fitting precision of shape-preserving piecewise cubic Hermite interpolation was higher than the traditional response surface function.
出处 《上海航天》 2012年第5期45-47,60,共4页 Aerospace Shanghai
关键词 响应面 保形分段三次Hermite插值 适应性检验 MONTE Carlo Response surface Shape-preserving piecewise cubic Hermite interpolation Adaptation test Monte Carlo
  • 相关文献

参考文献6

  • 1李洪双,吕震宙,赵洁.基于加权线性响应面法的支持向量机可靠性分析方法[J].工程力学,2007,24(5):67-71. 被引量:14
  • 2DAS P K, ZHENG Y. Cumulative formation of re sponse surface and its use in reliability analysis[J] Probabilistic Engineering Mechanics, 2000, 15 (4) 309-315.
  • 3IMPOLLONIA F G. About the accuracy of a novel response surface method for the analysis of finite ele- ment modeled uncertain structures[J]. Probabilistic Engineering Mechanics, 2004, 19 (1) : 53-63.
  • 4GUPTA S, MANOHAR C S. An improved response surface method for the determination of failure proba- bility and importance measures[J]. Structural Safety, 2004, 26(2) : 123-139.
  • 5刘成立,吕震宙.结构可靠性分析中考虑高次项修正的组合响应面法[J].航空学报,2006,27(4):594-599. 被引量:6
  • 6BUCHER C G, BOURGUND U. A fast and efficient response surface approach for structural reliability problems[J]. Structural Safety, 1990, 7: 57-66.

二级参考文献24

  • 1Bucher C G,Bourgund U.A fast and efficient response surface approach for structural reliability problems[J].Structural Safety,1990,7:57~66.
  • 2Rajashekhar M R,Ellingwood B R.A new look at the response surface approach for reliability analysis[J].Structural Safety,1993,12:205~220.
  • 3Guan X L,Melchers R E.Effect of response surface parameter variation on structural reliability estimates[J].Structural Safety,2001,23:429~444.
  • 4Kim S,Na S.Response surface method using vector projected sampling points[J].Structural Safety,1997,19:3~19.
  • 5Kaymaz I,McMahon C A.A response surface method based on weighted regression for structural reliability analysis[J].Probabilistic Engineering Mechanics,2005,20:11~17.
  • 6Gomes H M,Awruch A M.Comparison of response surface and neural network with other methods for structural reliability analysis[J].Structural Safety,2004,26:49~67.
  • 7Hurtado J E.An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory[J].Structural Safety,2004,26:271~293.
  • 8Hurtado J E,Alvarez D A.Neural-network-based reliability analysis:a comparative study[J].Computer methods in applied mechanics and engineering,2001,191:113~132.
  • 9Deng J,Gu D S.Structural reliability analysis for implicit performance functions using artificial neural network[J].Structural Safety,2005,27:25~48.
  • 10Cortes C,Vapnik V N.Support vector networks[J].Machine Learning,1995,20:273~297.

共引文献18

同被引文献33

引证文献5

二级引证文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部