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基于响应面法的斜交网格体系可靠度分析及材料本构优选

Digrid Structure Reliability Analysis and Material Constitutive Preference Based on Response Surface Method

【作者】 刘鹏远

【导师】 滕军;

【作者基本信息】 哈尔滨工业大学 , 结构工程, 2013, 硕士

【摘要】 近几年,斜交网格结构在国内外的高层建筑中的使用日益增多。然而,斜交网格结构受力复杂,传力路径与失效机理研究尚未有定论。同时,结构在设计、施工以及使用过程中受到多种不定性因素影响。为考虑到各种不确定因素的影响,对斜交网格结构进行可靠度评价具有优势。选用适合斜交网格结构可靠度计算的方法是可靠度计算中的关键问题。本文通过分析比较选取适合斜交网格筒可靠度分析方法,重点关注响应面法并对其进行相关优化,在有限元软件中实现适用于有限元-响应面法的参数模型的分析,最终实现对斜交网格结构的可靠度计算和灵敏度分析。具体研究内容如下:结构可靠度计算方法。本文主要考虑斜交网格筒的可靠度计算要求,通过对常见可靠度计算方法的比较,选择采用基于响应面法的可靠度计算方法,并对其响应面函数形式、试验点的选取、迭代步长影响、迭代点的选取等方面进行了相关研究。研究结果表明,通常情况,采用不含二次项的响应面函数形式可以满足基本精度要求;中心复合设计与Box-Behnken设计的效果较好,兼顾精度和效率;试验点迭代步长会影响可靠度分析精度。最后,提出一种迭代点改进方法,可以缩小迭代步长,更好的拟合响应面函数。斜交网格结构可靠度分析的参数化建模方法。通过OpenSees有限元软件对斜交网格筒子结构进行参数化建模,对构件的模拟单元进行选择,并对剪力墙单元的模拟进行了进一步的研究。对参数化模型进行倒三角加载的静力弹塑性分析,给出屈服顺序,并得到用于可靠度计算的性能点信息。斜交网格结构可靠度分析及材料本构参数优选研究。通过响应面方法与有限元计算的结合,给出响应面-有限元可靠度计算的实现方法。在相同的核心筒结构、材料和层间位移角的情况下,对斜交网格结构和框架-核心筒结构进行可靠度分析,斜交网格结构的失效概率与框架-核心筒结构相比较小。并对斜交网格结构进行灵敏度分析,并给出基于灵敏度分析的结构优选方法。

【Abstract】 In recent years, diagrid structures are widely used in the world. However, theforce of diagrid structure is complex, and force transferring path and failuremechanism remains inconclusive. Meanwhile, structure is affected by manyuncertainty factors in the process of design, construction and use. To take intoaccount the various uncertain factors, evaluating diagrid structure from the viewof reliability has advantages. Then, choosing a reliability calculation method ofdiagrid structure is the key issues of reliability analysis. This paper analyzes andselects comparatively the appropriate method for diagrid structure reliabilityanalysis, focusing on response surface methodology and optimizing the method.Afterwards, this paper realizes the parameterization model analysis applying tofinite element response surface method analysis, and ultimately realizes thereliability calculations and sensitivity analysis of diagrid structures. Specificstudies are as follows:Structural reliability calculation method. In this paper, considering thereliability diagrid structure computational requirements, select reliabilitycalculation method based on response surface method through the commonreliability calculation method comparison and study the effect of its responsesurface function form, the test point selection, iteration step, iterative pointselection on the accuracy of response surface method. The results show that, thenon-quadratic response surface functional forms meets basic accuracyrequirements; considering the accuracy and efficiency, the central compositedesign and Box-Behnken design ring is better; experimental point iteration stepcan affect reliability analysis accuracy. Finally, drawing up an iterative pointimprovement program which can reduce the step size and fitting response surfacefunction better.Diagrid structure parameterization modeling analysis. In this paper, builddiagrid substructure parameterization model in OpenSees finite element analysissoftware, and study the simulation of materials and elements. On this basis,analyze the parameterization model under inverted triangle load, and obtain theyielding order. Then, obtain the performance point information using forreliability analysis.Diagrid structure reliability analysis and component constitutive parameterpreference. Combining the response surface methodology and finite elementmethod, draw up realizable method of response surface-finite element reliabilitycalculation. Then, analyze the reliability of diagrid substructure and frame corewall substructure and obtain the conclusion that comparing to frame-corewall,the the failure probability of diagrid is smaller on the similar circumstances ofcorewall, materials and drift. Afterwards, analyze the sensitivity of diagridstructure and draw up a structure preferred method based on sensitivity analysis.

  • 【分类号】TU973.2
  • 【被引频次】6
  • 【下载频次】296
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