共查询到18条相似文献,搜索用时 171 毫秒
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采用区间值直觉模糊不确定语言变量建模决策中存在的不确定信息,给出了一个新的不确定环境下的VIKOR方法.首先采用区间直觉模糊不确定语言变量对方案进行评价,然后将VIKOR方法进行推广到新的不确定环境下,给出新的方案排序方法.最后为了说明方法的有效性和合理性,将所给的方法应用于房地产开发方案的风险评价中. 相似文献
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针对决策信息为区间直觉不确定语言变量且属性间存在相互关联的多属性群决策问题,提出了一种基于区间直觉不确定语言几何加权Heronian平均算子的决策方法.首先对区间直觉不确定语言变量的概念、运算法则以及相关性质等做出界定,然后基于区间直觉不确定语言变量和Heronian平均算子,定义了新的区间直觉不确定语言几何Heronian平均算子和区间直觉不确定语言几何加权Heronian平均算子,并给出了基于IVIULN的MAGDM方法,最后通过实例验证了该算子的科学性与适用性. 相似文献
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Libove曾经证明[1],四边简支的正交异性板在双向压力下的屈曲模态沿x方向和y方向的半波数m和n这两者中必有一者为1.本文将给出m=1或n=1的条件,并确定n=1时m的取值,及m=1时n的取值.从而完全确定了四边简支正交异性板在双向压力下的屈曲模态,并给出了临界载荷的显式表达式. 相似文献
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通过区间值函数和实值函数的关系探讨了区间相关性导致的区间扩张的问题,给出了保证区间计算获得足够精度的计算方法;提出了基于单元的子区间摄动有限元计算方法,并给出了提高计算效率的一些方法和获得较好计算精度时的子区间数目的近似计算公式.结合工程实例,基于单元的子区间有限元方法和抗滑稳定性分析方法给出了稳定性的区间范围,为更合理地估计和评价结构的抗滑稳定性提供一定的依据. 相似文献
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研究了区间数的绝对值和区间值函数的极限问题.首先,讨论了区间数的H-差的性质,得到了H-差的两个运算法则;然后,给出了区间数的绝对值概念,并讨论了区间数绝对值的性质;最后,借助区间数的H-差和绝对值的概念,建立了区间值函数极限概念的一种新的表达方式,给出了极限存在的充分必要条件,证明了极限值的唯一性及对加法运算和数乘运算的封闭性. 相似文献
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In this study, the time dependent free vibration analysis of composite concrete-filled steel tubular (CFST) arches with various uncertainties is thoroughly investigated within a non-stochastic framework. From the practical inspiration, both uncertain material properties and mercurial creep effect associated with such composite materials are simultaneously incorporated. Unlike traditional non-probabilistic schemes, both spatially independent (i.e., conventional interval models) and dependent (i.e., interval fields) interval system parameters can be comprised within a unified uncertain free vibration analysis framework for CFST arches. For the purpose of achieving a robust framework of the time-dependent uncertain free vibration analysis, a new computational approach, which has been developed within the scheme of the finite element method (FEM), has been proposed for determining the extreme bounds of the natural frequencies of practically motivated CFST arches. Consequently, by successfully solving two eigenvalue problems, the upper and lower bounds of the natural frequencies of such composite structures with various uncertainties can be rigorously secured. The unique advantage of the proposed approach is that it can be effectively integrated within commercial FEM software with preserved sharp bounds on natural frequencies for any interval field discretisation. The competence of the proposed computational analysis framework has been thoroughly demonstrated through investigations on both 2D and3D engineering structures. 相似文献
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Practical structures often operate with some degree of uncertainties, and the uncertainties are often modelled as random parameters or interval parameters. For realistic predictions of the structures behaviour and performance, structure models should account for these uncertainties. This paper deals with time responses of engineering structures in the presence of random and/or interval uncertainties. Three uncertain structure models are introduced. The first one is random uncertain structure model with only random variables. The generalized polynomial chaos (PC) theory is applied to solve the random uncertain structure model. The second one is interval uncertain structure model with only interval variables. The Legendre metamodel (LM) method is presented to solve the interval uncertain structure model. The LM is based on Legendre polynomial expansion. The third one is hybrid uncertain structure model with both random and interval variables. The polynomial-chaos-Legendre-metamodel (PCLM) method is presented to solve the hybrid uncertain structure model. The PCLM is a combination of PC and LM. Three engineering examples are employed to demonstrate the effectiveness of the proposed methods. The uncertainties resulting from geometrical size, material properties or external loads are studied. 相似文献
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常玉宝 《数学的实践与认识》2012,42(20)
针对区间数多属性决策中的不确定性问题,提出基于区间数的不确定性分析方法,用集对分析联系数中的A表示区间数的数学期望,Bi表示区间数的不确定性,借助联系数A+Bi的加、乘运算建立区间数多属性决策模型,再利用i的不同取值进行不确定性分析.实例应用表明,方法算理清晰,算法简明,分析方便,结论可靠. 相似文献
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静力分析的一般随机摄动法 总被引:7,自引:0,他引:7
本文对向量值和矩阵值函数的不确定结构的静力响应和可靠性进行了研究。基于Kronecker代数和摄动理论导出了随机结构的有限元分析方法,随机变量和系统导数很方便地排列到2D矩阵中,给出了一般的数学表达式. 相似文献
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Xindong Zhang Pengzhan Huang Xinlong Feng Leilei Wei 《Numerical Methods for Partial Differential Equations》2013,29(4):1081-1096
In this article, we consider the finite element method (FEM) for two‐dimensional linear time‐fractional Tricomi‐type equations, which is obtained from the standard two‐dimensional linear Tricomi‐type equation by replacing the first‐order time derivative with a fractional derivative (of order α, with 1 <α< 2 ). The method is based on finite element method for space and finite difference method for time. We prove that the method is unconditionally stable, and the error estimate is presented. The comparison of the FEM results with the exact solutions is made, and numerical experiments reveal that the FEM is very effective. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013 相似文献
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区间参数结构振动问题的矩阵摄动法 总被引:1,自引:1,他引:0
当结构的参数具有不确定性时,结构的固有频率也将具有某种程度的不确定性.本文讨论了区间参数结构的振动问题,将区间参数结构的特征值问题归结为两个不同的特征值问题来求解.提出了求解区间参数结构振动问题的矩阵摄动方法.数值运算结果表明,本文所提出方法具有运算量小,结果精度高等优点. 相似文献
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基于区间的土体参数敏感性分析方法研究 总被引:2,自引:0,他引:2
将一种新的工程结构不确定性分析方法——区间分析方法溶入工程参数的敏感性分析之中,获得了一种新的工程参数敏感性分析方法,进一步拓宽了区间分析方法理论的应用领域.给出了土体参数敏感性因子矩阵求解的区间分析过程,依据区间分析给出了参数区间和决策目标区间的确定方法.基于MARC软件进行了二次开发,实现了Duncan-Chang非线性弹性模型以及与Fortran程序的相互调用功能.通过工程算例验证了该方法的合理可行性,并与文献的结果进行了对比. 相似文献
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This paper presents an adaptive algorithm in the time domain for the dynamic analysis of a simply supported beam subjected to the moving load and moving vehicle with/without varying surface roughness. By expanding variables at a discretized time interval, a coupled spatial‐temporal problem can be converted into a series of recursive space problems that are solved by finite element method (FEM), and a piecewised adaptive computing procedure can be carried out for different sizes of time steps. The proposed approach is numerically verified via the comparison with analytical and the Runge–Kutta method‐based solutions, and satisfactory results have been achieved. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献