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Uncertainty analysis of powertrain mounting systems with independent and correlated parameters based on multidimensional parallelepiped model

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART D-JOURNAL OF AUTOMOBILE ENGINEERING 2024年第14期238卷 4596-4609页

作者： Huang, Xiaoting Li, Zhencong Lu, Hui Shangguan, Wen-Bin Guangzhou City Univ Technol Sch Automobile & Traff Engn Guangzhou Guangdong Peoples R China South China Univ Technol Sch Mech & Automot Engn Guangzhou 510641 Guangdong Peoples R China

In engineering practice, some uncertain parameters of structures are usually independent while others might be correlated in the design problems of automotive engineering. This study introduces the multidimensional parallelepiped (MP) model to handle the independent and correlated parameters of an uncertain automotive powertrain mounting system (PMS) in a unified framework. Two uncertainty analysis methods, including the multidimensional parallelepiped-Monte Carlo method (MP-MCM) and the multidimensional parallelepiped-regularization-perturbation method (MP-RPM), are developed for the uncertainty analysis of the dynamic responses of PMS, in which independent and correlated parameters coexist. In the proposed MP-MCM, the uncertainty domain of all uncertain parameters is firstly established based on the MP model. Then, the correlated parameters are treated as independent uncertain variables and the traditional Monte Carlo simulation is applied to obtain random samples. Among the obtained samples, the ones satisfying the matrix inequality of MP model are selected and finally used to calculate the interval responses of PMS. In the proposed MP-RPM, the regularization method is firstly introduced to transform the parametric uncertainty domain into a standard multidimensional cube domain, where all uncertain parameters become independent with each other. And then, the perturbation analysis and central difference strategy are combined to efficiently calculate the interval responses of PMS. A numerical application is provided to demonstrate the effectiveness of the proposed methods on uncertainty analysis of the PMS with independent and correlated parameters. The influence of different parametric correlation on system dynamic responses, and the effect of the parametric correlation of different mounts on system responses are discussed in detail.

关键词： Uncertainty analysis multidimensional parallelepiped model correlated parameters independent parameters powertrain mounting system

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Hecke algebras with independent parameters

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JOURNAL OF ALGEBRAIC COMBINATORICS 2016年第3期43卷 521-551页

作者： Huang, Jia Univ Nebraska Kearney Dept Math & Stat Kearney NE USA

We study the Hecke algebra over an arbitrary field of a Coxeter system (W, S) with independent parameters for all generators. This algebra always has a spanning set indexed by the Coxeter group W, which is indeed a basis if and only if every pair of generators joined by an odd edge in the Coxeter diagram receives the same parameter. In general, the dimension of could be as small as 1. We construct a basis for when (W, S) is simply laced. We also characterize when is commutative, which happens only if the Coxeter diagram of (W, S) is simply laced and bipartite. In particular, for type A, we obtain a tower of semisimple commutative algebras whose dimensions are the Fibonacci numbers. We show that the representation theory of these algebras has some features in analogy/connection with the representation theory of the symmetric groups and the 0-Hecke algebras.

关键词： Hecke algebra independent parameters Fibonacci number independent set Grothendieck group

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A high-sensitivity sensor based on tapered dispersion compensation fiber for curvature and temperature measurement

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OPTICS COMMUNICATIONS 2021年 481卷 126534-126534页

作者： Wang, Fang Zhang, Long Ma, Tao Wang, Xu Yu, Kun Liu, Yufang Henan Normal Univ Coll Elect & Elect Engn Xinxiang 453007 Henan Peoples R China Henan Normal Univ Sch Phys Xinxiang 453007 Henan Peoples R China Key Lab Optoelect Sensing Integrated Applicat Hen Xinxiang 453007 Henan Peoples R China

A high-sensitivity sensor based on a tapered dispersion compensation fiber (DCF) structure that consists of a 6 mm DCF spliced between single-mode fibers (SMFs) is proposed for measuring curvature and temperature. A Mach-Zehnder interferometer (MZI) was introduced by fabricating a taper at the first splicing joint. In the experiment, the intensity of the interference dips had a very high linear response to curvature changes with low temperature cross-sensitivity (0.0012 dB/degrees C). The results demonstrated a maximum curvature sensitivity of up to 15.19 dB/m(-1) within a linear range of 0.98-1.753 m(-1), and the temperature sensitivity was 79.8 pm/degrees C with a range of 25-60 degrees C. Therefore, the cross-sensitivity was solved by monitoring two independent parameters, in which the wavelength shifts for temperature sensing and the intensity variations for curvature sensing. With its compact structure and high sensitivity, the proposed sensor has potential application value in some fields, such as building structural health monitoring and alerting.

关键词： Tapered fiber Dispersion compensation fiber Low cross-sensitivity independent parameters

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Optimization of a methodology for determination of iron concentration in aqueous samples using a newly synthesized chelating agent in dispersive liquid-liquid microextraction

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FOOD CHEMISTRY 2018年 264卷 9-15页

作者： Borzoei, Mohammad Zanjanchi, Mohammad Ali Sadeghi-aliabadi, Hojjat Saghaie, Lotfollah Univ Guilan Dept Chem Fac Sci Rasht 413351914 Iran Isfahan Univ Med Sci Fac Pharm Dept Med Chem Esfahan *** Iran

The aim of this study was to establish a new dispersive liquid-liquid microextraction (DLLME) technique for the determination of iron concentration in aqueous solutions and fruit juices based on the reaction between iron and 3-hydroxy-1-(3-hydroxyphenyl)-2-methylpyridin-4(1H)-one (3-OH-PMPO) as a chelating agent. A central composite design (CCD) was applied to optimize the effects of independent parameters (pH, volume of disperser solvent and extractant solvent and chelating agent concentration) on extraction efficiency. Under the optimized conditions, the analytical curve is linear in a concentration range of 10-750 mu gL(-1) with a detection limit of 5 mu gL(-1). The relative standard deviation (RSD) for ten repeated determinations of iron concentrations at 40 and 200 mu gL(-1) was calculated to be 4.2% and 1.2%, respectively. Relative recovery of iron in several water samples was investigated and the average was obtained in the range of 91-108%.

关键词： Iron Dispersive liquid-liquid microextraction 3-OH-PMPO Central composite design independent parameters

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Surrogate model based iterative ensemble smoother for subsurface flow data assimilation

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ADVANCES IN WATER RESOURCES 2017年 100卷 96-108页

作者： Chang, Haibin Liao, Qinzhuo Zhang, Dongxiao Peking Univ Coll Engn ERE Beijing 100871 Peoples R China Peking Univ Coll Engn BIC ESAT Beijing 100871 Peoples R China

Subsurface geological formation properties often involve some degree of uncertainty. Thus, for most conditions, uncertainty quantification and data assimilation are necessary for predicting subsurface flow. The surrogate model based method is one common type of uncertainty quantification method, in which a surrogate model is constructed for approximating the relationship between model output and model input. Based on the prediction ability, the constructed surrogate model can be utilized for performing data assimilation. In this work, we develop an algorithm for implementing an iterative ensemble smoother (ES) using the surrogate model. We first derive an iterative ES scheme using a regular routine. In order to utilize surrogate models, we then borrow the idea of Chen and Oliver (2013) to modify the Hessian, and further develop an independent parameter based iterative ES formula. Finally, we establish the algorithm for the implementation of iterative ES using surrogate models. Two surrogate models, the PCE surrogate and the interpolation surrogate, are introduced for illustration. The performances of the proposed algorithm are tested by synthetic cases. The results show that satisfactory data assimilation results can be obtained by using surrogate models that have sufficient accuracy. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： Data assimilation Iterative ensemble smoother Surrogate model independent parameters Subsurface flow

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Further results on the strong stability of difference equations of continuous time

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IFAC-PapersOnLine 2017年第1期50卷 13318-13323页

作者： Ma, Qian Gu, Keqin Choubedar, Narges School of Automation Nanjing University of Science and Technology NanjingJiangsu210094 China Department of Mechanical and Industrial Engineering Southern Illinois University Edwardsville EdwardsvilleIL62025 United States

This article studies the strong stability of scalar difference equations of continuous time in which the delays are sums of a number of independent parameters τii = 1, 2,… K. The characteristic quasipolynomial of such an equation is a multilinear function of e-Tis. It is known that the characteristic quasipolynomial of any difference equation set in the form of one-delay-per-scalar-channel (ODPSC) model is also in such a multilinear form. However, it is shown in this article that some multilinear forms of quasipolynomials are not characteristic quasipolynomials of any ODPSC difference equation set. The equivalence between local strong stability the exponential stability of a fixed set of rationally independent delays, and the stability for all positive delays is shown. © 2017

关键词： Stability Continuous time systems Convergence of numerical methods Difference equations Time delay Continuous time independent delays independent parameters Multilinear forms Multilinear functions Quasi poly nomial Quasipolynomials Strong stability

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Analyzing research performance: proposition of a new complementary index

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SCIENTOMETRICS 2016年第2期108卷 489-504页

作者： Sahoo, Shaon CEA INAC SPSMS F-38000 Grenoble France

A researcher collaborating with many groups will normally have more papers (and thus higher citations and h-index) than a researcher spending all his/her time working alone or in a small group. While analyzing an author's research merit, it is therefore not enough to consider only the collective impact of the published papers, it is also necessary to quantify his/her share in the impact. For this quantification, here I propose the I-index which is defined as an author's percentage share in the total citations that his/her papers have attracted. It is argued that this I-index does not directly depend on the most of the subjective issues like an author's influence, affiliation, seniority or career break. A simple application of the Central Limit Theorem shows that, the scheme of equidistribution of credit among the coauthors of a paper will give us the most probable value of the I-index (with an associated small standard deviation which decreases with increasing h-index). I show that the total citations (N-c), the h-index and the I-index are three independent parameters (within their bounds), and together they give a comprehensive idea of an author's overall research performance.

关键词： Coauthors' contributions independent parameters Central Limit Theorem

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Optimal Three Impulse Orbital Transfer Between Coplanar Non Co-Axial Orbits 7

Optimal Three Impulse Orbital Transfer Between Coplanar Non ...

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7th International Conference on Recent Advances in Space Technologies (RAST)

作者： Sanatifar, Mohammad Dolcetta, Roberto Capuzzo Sapienza Univ Roma Rome Italy

ISBN: (纸本)9781479976973

The goal of this paper is to find the global minimum for three impulses orbital transfer between coplanar non co-axial orbits. Since there is no analytical solution for the problem, it is necessary to resort to a numerical approach. As first step, we extensively cover the space of possible solutions with the aim to get approximations for independent parameters to use as initial values for a gradient-based optimization method to seek for exact values. A comparison between the optimal solutions in the two impulse and three impulse cases shows that optimality depends on the ratio of semi-latus recti, argument of periapsis and on the eccentricity of initial and final orbits. We see also that the three impulses transfer case leads to different local minima, which could be useful when there are imposed contsraints on the problem.

关键词： optimal transfer independent parameters Numerical methods

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A Reciprocal-Orthogonal Parametric Transform and Its Fast Algorithm

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IEEE SIGNAL PROCESSING LETTERS 2012年第11期19卷 769-772页

作者： Bouguezel, Saad Univ Ferhat Abbas Lab Croissance & Caractarisat Nouveaux Semicond Dept Elect Fac Technol Setif Algeria

In this letter, a reciprocal-orthogonal parametric transform and an efficient algorithm for its simple construction and fast computation are proposed. The algorithm is developed by introducing a recursive approach to decompose the transform matrix into a product of sparse matrices using the Kronecker product. It is shown that the structure of the resulting algorithm is very similar to that of the well-known Walsh-Hadamard transform, except for the multipliers introduced by the independent parameters. The transform has a large number of independent parameters that can be chosen arbitrarily from the complex plane. Thus, many interesting special cases can easily be obtained from the proposed transform. Moreover, we carry out a number of experiments to show that its independent parameters can successfully be used as an additional secret key for image encryption.

关键词： independent parameters Kronecker product parametric complex Hadamard matrices reciprocal-orthogonal parametric transform Walsh-Hadamard transform

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An extended class of multilayer perceptron

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NEUROCOMPUTING 2008年第13-15期71卷 2538-2543页

作者： Lopez, R. Onate, E. Int Ctr Numer Methods Engn CIMNE Barcelona 08034 Spain

In this work an extended class of multilayer perceptron is presented. This includes independent parameters, boundary conditions and lower and upper bounds. In some cases, such extensions contain a priori information of the problem. On some other situations they are necessary in order to define a correct representation for the solution. The use of this augmented class of neural network is illustrated through a case study in the optimal control theory. The numerical results are compared against the analytical solution. (C) 2008 Elsevier B.V. All rights reserved.

关键词： multilayer perceptron independent parameters boundary conditions lower and upper bounds

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