In the reliability designing procedure of the vehicle components, when the distribution styles of the random variables are unknown or non-normal distribution, the result evaluated contains great error or even is wrong...In the reliability designing procedure of the vehicle components, when the distribution styles of the random variables are unknown or non-normal distribution, the result evaluated contains great error or even is wrong if the reliability value R is larger than 1 by using the existent method, in which case the formula is necessary to be revised. This is obviously inconvenient for programming. Combining reliability-based optimization theory, robust designing method and reliability based sensitivity analysis, a new method for reliability robust designing is proposed. Therefore the influence level of the designing parameters’ changing to the reliability of vehicle components can be obtained. The reliability sensitivity with respect to design parameters is viewed as a sub-objective function in the multi-objective optimization problem satisfying reliability constraints. Given the first four moments of basic random variables, a fourth-moment technique and the proposed optimization procedure can obtain reliability-based robust design of automobile components with non-normal distribution parameters accurately and quickly. By using the proposed method, the distribution style of the random parameters is relaxed. Therefore it is much closer to the actual reliability problems. The numerical examples indicate the following: (1) The reliability value obtained by the robust method proposed increases (】0.04%) comparing to the value obtained by the ordinary optimization algorithm; (2) The absolute value of reliability-based sensitivity decreases (】0.01%), and the robustness of the products’ quality is improved accordingly. Utilizing the reliability-based optimization and robust design method in the reliability designing procedure reduces the manufacture cost and provides the theoretical basis for the reliability and robust design of the vehicle components.展开更多
Traditional methods for early warning of dam displacements usually assume that residual displacements follow a normal distribution.This assumption deviates from the reality,thereby affecting the reliability of early w...Traditional methods for early warning of dam displacements usually assume that residual displacements follow a normal distribution.This assumption deviates from the reality,thereby affecting the reliability of early warning results and leading to misjudgments of dam displacement behavior.To solve this problem,this study proposed an early warning method using a non-normal distribution function.A new early warning index was developed using cumulative distribution function(CDF)values.The method of kernel density estimation was used to calculate the CDF values of residual displacements at a single point.The copula function was used to compute the CDF values of residual displacements at multiple points.Numerical results showed that,with residual displacements in a non-normal distribution,the early warning method proposed in this study accurately reflected the dam displacement behavior and effectively reduced the frequency of false alarms.This method is expected to aid in the safe operation of dams.展开更多
Various kinds of Riemann boundary value problems (BVPs) for analytic functions on closed curves or on open arc, doubly periodic Riemann BVPs, doubly quasi-periodic Riemann BVPs, and BVPs for polyanalytic functions hav...Various kinds of Riemann boundary value problems (BVPs) for analytic functions on closed curves or on open arc, doubly periodic Riemann BVPs, doubly quasi-periodic Riemann BVPs, and BVPs for polyanalytic functions have been widely investigated in [1-8]. The main ap- proach is to use the decomposition of polyanalytic functions and their generalization to transform the boundary value problems to their corresponding boundary value problems for analytic functions. Recently, inverse Riemann BVPs for generalized analytic functions or bianalytic functions have been investigated in [9-12]. In this paper, we consider a kind of Riemann BVP of non-normal type on the infinite straight line and discuss the solvable conditions and the general solution for it.展开更多
We will discuss the non-normal Hasemann boundary value problem: we may find these results are coincided with those of normal Hasemann boundary value problem and non-normal Riemann boundary value problem.
In this paper, we present and study a kind of Riemann boundary value problem of non-normal type for analytic functions on two parallel curves. Making use of the method of complex functions, we give the method for solv...In this paper, we present and study a kind of Riemann boundary value problem of non-normal type for analytic functions on two parallel curves. Making use of the method of complex functions, we give the method for solving this kind of doubly periodic Riemann boundary value problem of non-normal type and obtain the explicit expressions of solutions and the solvable conditions for it.展开更多
Let A be a linear operator in a Hilbert space H such that Q=(A*A)1/2-(AA*)1/2≥0 andlet A=UR be the polar decomposition. Then there exist opeators A+=lim U*nAUn and A-=lim Un AU*n.In this paper, the relations betw...Let A be a linear operator in a Hilbert space H such that Q=(A*A)1/2-(AA*)1/2≥0 andlet A=UR be the polar decomposition. Then there exist opeators A+=lim U*nAUn and A-=lim Un AU*n.In this paper, the relations between the spectra of A+, A-,R and U are derived. Asingular integral model of the operator A is presented. Finally we shall prove the inequality ||Q||≤μφ(σ(A))/2π under certain conditions.展开更多
RQI is an approach for eigenvectors of matrices. In 1974, B.N Parlett proved that it was a ''succeessful algorithm'' with cubic convergent speed for normal matrices. After then, several authors develop...RQI is an approach for eigenvectors of matrices. In 1974, B.N Parlett proved that it was a ''succeessful algorithm'' with cubic convergent speed for normal matrices. After then, several authors developed relevant theory and put this research into dynamical frame. [3] indicated that RQI failed for non-normal matrices with complex eigenvalues. In this paper, RQI for non-normal matrices with only real spectrum is analyzed. The authors proved that eigenvectors are super-attractive fixed points of RQI. The geometrical and topological behaviours of two periodic orbits are considered too. The existness of three or higher periodic orbits and their geometry are considered too. The existness of three or higher periodic orbits and their geometry are still open and of interest. It will be reported in our forthcomming paper.展开更多
假定 G 是有限 p 组。如果 G 不是一个 Dedekind 集团,那么, G 有非正常的亚群。我们使用 p <sup > M (G)</sup> 和 p <sup > 表示 G 的非正常的亚群的订单的最大值和最小的 m (G)</sup> ;分别地。在这份报...假定 G 是有限 p 组。如果 G 不是一个 Dedekind 集团,那么, G 有非正常的亚群。我们使用 p <sup > M (G)</sup> 和 p <sup > 表示 G 的非正常的亚群的订单的最大值和最小的 m (G)</sup> ;分别地。在这份报纸,我们分类集团 G 以便 M (G)< 2m (G) 1:作为一个副产品,我们也分类其非正常的亚群的订单是 p <sup 的 p 组 > k </sup> 和 p <sup > k+1 </sup> 。展开更多
随着建筑物能源消耗的不断升高,高精度与高泛化能力的非侵入式负荷监测技术的研究具有重大意义。针对当前负荷分解方法存在的问题,提出了一种基于多尺度特征融合与多任务学习框架的非侵入式负荷监测方法。将实例-批归一化网络与U形网络...随着建筑物能源消耗的不断升高,高精度与高泛化能力的非侵入式负荷监测技术的研究具有重大意义。针对当前负荷分解方法存在的问题,提出了一种基于多尺度特征融合与多任务学习框架的非侵入式负荷监测方法。将实例-批归一化网络与U形网络结合,提取总负荷数据的上下文信息,并利用跨越连接实现对不同尺度的细节特征与全局特征的融合。针对多特征特点,引入高效通道注意力网络,使模型聚焦重要特征。引入多任务学习框架与后处理操作,去除输出的假阳性片段,实现对目标电器的精准识别。将所提模型与几种代表性模型在UK-DALE(UK domestic appliance-level electricity)数据集与REDD(reference energy disaggregation data set)上进行对比实验,结果表明,所提模型的性能优于对比模型,具有出色的负荷分解能力与状态识别能力。展开更多
基金supported by National Natural Science Foundation of China (Grant Nos. 51135003, U1234208, 51205050)New Teachers' Fund for Doctor Stations of Ministry of Education of China (Grant No.20110042120020)+1 种基金Fundamental Research Funds for the Central Universities, China (Grant No. N110303003)China Postdoctoral Science Foundation (Grant No. 2011M500564)
文摘In the reliability designing procedure of the vehicle components, when the distribution styles of the random variables are unknown or non-normal distribution, the result evaluated contains great error or even is wrong if the reliability value R is larger than 1 by using the existent method, in which case the formula is necessary to be revised. This is obviously inconvenient for programming. Combining reliability-based optimization theory, robust designing method and reliability based sensitivity analysis, a new method for reliability robust designing is proposed. Therefore the influence level of the designing parameters’ changing to the reliability of vehicle components can be obtained. The reliability sensitivity with respect to design parameters is viewed as a sub-objective function in the multi-objective optimization problem satisfying reliability constraints. Given the first four moments of basic random variables, a fourth-moment technique and the proposed optimization procedure can obtain reliability-based robust design of automobile components with non-normal distribution parameters accurately and quickly. By using the proposed method, the distribution style of the random parameters is relaxed. Therefore it is much closer to the actual reliability problems. The numerical examples indicate the following: (1) The reliability value obtained by the robust method proposed increases (】0.04%) comparing to the value obtained by the ordinary optimization algorithm; (2) The absolute value of reliability-based sensitivity decreases (】0.01%), and the robustness of the products’ quality is improved accordingly. Utilizing the reliability-based optimization and robust design method in the reliability designing procedure reduces the manufacture cost and provides the theoretical basis for the reliability and robust design of the vehicle components.
基金supported by the National Natural Science Foundation of China(Grant No.52109156)the Science and Technology Project of the Jiangxi Provincial Education Department(Grant No.GJJ190970).
文摘Traditional methods for early warning of dam displacements usually assume that residual displacements follow a normal distribution.This assumption deviates from the reality,thereby affecting the reliability of early warning results and leading to misjudgments of dam displacement behavior.To solve this problem,this study proposed an early warning method using a non-normal distribution function.A new early warning index was developed using cumulative distribution function(CDF)values.The method of kernel density estimation was used to calculate the CDF values of residual displacements at a single point.The copula function was used to compute the CDF values of residual displacements at multiple points.Numerical results showed that,with residual displacements in a non-normal distribution,the early warning method proposed in this study accurately reflected the dam displacement behavior and effectively reduced the frequency of false alarms.This method is expected to aid in the safe operation of dams.
文摘Various kinds of Riemann boundary value problems (BVPs) for analytic functions on closed curves or on open arc, doubly periodic Riemann BVPs, doubly quasi-periodic Riemann BVPs, and BVPs for polyanalytic functions have been widely investigated in [1-8]. The main ap- proach is to use the decomposition of polyanalytic functions and their generalization to transform the boundary value problems to their corresponding boundary value problems for analytic functions. Recently, inverse Riemann BVPs for generalized analytic functions or bianalytic functions have been investigated in [9-12]. In this paper, we consider a kind of Riemann BVP of non-normal type on the infinite straight line and discuss the solvable conditions and the general solution for it.
基金the National Natural Science Foundation of ChinaRF DP of Higher Education and SF of Wuhan Uni-versity(2 0 1990 3 3 6)
文摘We will discuss the non-normal Hasemann boundary value problem: we may find these results are coincided with those of normal Hasemann boundary value problem and non-normal Riemann boundary value problem.
文摘In this paper, we present and study a kind of Riemann boundary value problem of non-normal type for analytic functions on two parallel curves. Making use of the method of complex functions, we give the method for solving this kind of doubly periodic Riemann boundary value problem of non-normal type and obtain the explicit expressions of solutions and the solvable conditions for it.
文摘Let A be a linear operator in a Hilbert space H such that Q=(A*A)1/2-(AA*)1/2≥0 andlet A=UR be the polar decomposition. Then there exist opeators A+=lim U*nAUn and A-=lim Un AU*n.In this paper, the relations between the spectra of A+, A-,R and U are derived. Asingular integral model of the operator A is presented. Finally we shall prove the inequality ||Q||≤μφ(σ(A))/2π under certain conditions.
文摘RQI is an approach for eigenvectors of matrices. In 1974, B.N Parlett proved that it was a ''succeessful algorithm'' with cubic convergent speed for normal matrices. After then, several authors developed relevant theory and put this research into dynamical frame. [3] indicated that RQI failed for non-normal matrices with complex eigenvalues. In this paper, RQI for non-normal matrices with only real spectrum is analyzed. The authors proved that eigenvectors are super-attractive fixed points of RQI. The geometrical and topological behaviours of two periodic orbits are considered too. The existness of three or higher periodic orbits and their geometry are considered too. The existness of three or higher periodic orbits and their geometry are still open and of interest. It will be reported in our forthcomming paper.
基金This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11471198, 11771258).
文摘假定 G 是有限 p 组。如果 G 不是一个 Dedekind 集团,那么, G 有非正常的亚群。我们使用 p <sup > M (G)</sup> 和 p <sup > 表示 G 的非正常的亚群的订单的最大值和最小的 m (G)</sup> ;分别地。在这份报纸,我们分类集团 G 以便 M (G)< 2m (G) 1:作为一个副产品,我们也分类其非正常的亚群的订单是 p <sup 的 p 组 > k </sup> 和 p <sup > k+1 </sup> 。
文摘随着建筑物能源消耗的不断升高,高精度与高泛化能力的非侵入式负荷监测技术的研究具有重大意义。针对当前负荷分解方法存在的问题,提出了一种基于多尺度特征融合与多任务学习框架的非侵入式负荷监测方法。将实例-批归一化网络与U形网络结合,提取总负荷数据的上下文信息,并利用跨越连接实现对不同尺度的细节特征与全局特征的融合。针对多特征特点,引入高效通道注意力网络,使模型聚焦重要特征。引入多任务学习框架与后处理操作,去除输出的假阳性片段,实现对目标电器的精准识别。将所提模型与几种代表性模型在UK-DALE(UK domestic appliance-level electricity)数据集与REDD(reference energy disaggregation data set)上进行对比实验,结果表明,所提模型的性能优于对比模型,具有出色的负荷分解能力与状态识别能力。