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ANALYSIS OF FAILURE MECHANISM IN MULTIPLE DISC WET BRAKES

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Chinese Journal of Mechanical Engineering 1998年第1期11卷 35-38页

作者： Sun Dongye Qin datong Yang Yalian (Chongqing university) Wang Yuxing (Shandong Institute of Engineering) Chongqing Univ Chongqing China

By the numberical calculation of dynamic lining pressure distributions,temperature fields and thermal stress fields of steel plates,a method using nonlinear finite element techniques to analyze failure mechanism of a ... 详细信息

关键词： Wet brake Failure mechanism Finite element

C-Wellposedness of the Complete Second Order Abstract Cauchy Problem and Applications

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Acta Mathematica Sinica,English Series 1999年第4期15卷 535-548页

作者： Mingchu Gao department of mathematics,shanxi Teachers {2.,Linfen 041004,P.R.China E-mail:mcgao@*** department of mathematics Shanxi Teachers University Linfen P. R. China

In this paper,we first give a sufficient and necessary condition for M= to generate an exponentially bounded =-semigroup and discuss its relations to the C-wellposedness of the complete second order abstract Cauchy problem （（ACP2./sub>） for short） in some *** we use these results and those in [1] to discuss the C-（exponential） wellposedness of a kind of （ACP2./sub>） with application backgrounds,and develop the results in [2..

关键词： Abstract Cauchy problem C-semigroup C-wellposedness

The maximal super-singular integral operators on product spaces

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Science China mathematics 2011年第12期54卷 2615-2626页

作者： WANG Hui1 & CHEN JieCheng2.3, 1department of mathematics, Xidian university, Xi’an 710071, China 2.0}, Zhejiang Normal university, Jinhua 32.004, China 3department of mathematics, Zhejiang university, Hangzhou 31002., China department of mathematics Xidian University Xi’an China department of mathematics Zhejiang Normal University Jinhua China department of mathematics Zhejiang University Hangzhou China

We study the maximal super-singular integral operator T＊Ω,α,β（f）（x,y）=sup ∈1〉0,∈2.0｜∫｜u｜〉ε1,｜v｜〉ε2.b1（｜u｜）b2.｜u｜）Ω（u＇,u＇）/｜u｜^n＋α｜u｜^m＋β-f（x-u,y-u）dudu｜defined on all f ∈ S（R^n ×R^m）, where 0 ≤ α,β〈∞, b1 b2.∈ L∞（R＋1 ）,Ω satisfies certain cancellation conditions and Ω∈L1（S^n-1×S^m-1）in the case α,β〉0;Ω∈L（log＋L）（S^n-1×S^m-1）in the case αβ=0 and α＋β 〉0. It is proved that, for 1〈p〈∞.T＊Ω,α,βis a bounded operator from the homogeneous Sobolev space Lα,β^p（R^n×R^m）to the Lebesgue space L^p（R^n×R^m）.

关键词： super-singular integral maximal operator product spaces

NONOVERLAPPING DOMAIN DECOMPOSITION METHOD WITH MIXED ELEMENT FOR ELLIPTIC PROBLEMS

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Journal of Computational mathematics 1996年第4期14卷 291-300页

作者： H.X. Rui(mathematics department, Shandong {2., Jinan) 山东大学数学系山东济南

In this paper we consider the nonoverlapping domain decomposition method based on mixed element approximation for elliptic problems in two dimentional space. We give a kind of discrete domain decomposition iterative algorithm using mixed finite element, the subdomain problems of which can be implemented parallelly. We also give the existence, uniqueness and convergence of the approximate solution.

关键词： Zhang NONOVERLAPPING DOMAIN DECOMPOSITION METHOD WITH MIXED ELEMENT FOR ELLIPTIC PROBLEMS EV

Constructing super Gabor frames:the rational time-frequency lattice case

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Science China mathematics 2010年第12期53卷 3179-3186页

作者： LI ZhongYan 1 & HAN DeGuang 2. 1 department of mathematics and Physics, North China Electric Power university, Beijing 102.06, China 2.department of mathematics, university of Central Florida, Orlando, FL 32.16, USA department of mathematics and Physics North China Electric Power University Beijing China department of mathematics University of Central Florida Orlando USA

For a time-frequency lattice Λ = A Z d × B Z d , it is known that an orthonormal super Gabor frame of length L exists with respect to this lattice if and only if |det( AB) | = 1 L . The proof of this result involves various techniques from multi-lattice tiling and operator algebra theory, and it is far from constructive. In this paper we present a very general scheme for constructing super Gabor frames for the rational lattice case. Our method is based on partitioning an arbitrary fundamental domain of the lattice in the frequency domain such that each subset in the partition tiles R d by the lattice in the time domain. This approach not only provides us a simple algorithm of constructing various kinds of orthonormal super Gabor frames with flexible length and multiplicity, but also allows us to construct super Gabor (non-Riesz) frames with high order smoothness and regularity. Several examples are also presented.

关键词： super Gabor frame orthonormal super frame full rank lattice tiles

L-R smash products for bimodule algebras

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Progress in Natural Science:Materials International 2006年第6期16卷 580-587页

作者： ZHANG Liangyun (department of mathematics, Nanjing Agricultural university, Nanjing 2.0095, China department of mathematics, Nanjing university, Nanjing 2.0008, China) department of mathematics Nanjing Agricultural University Nanjing 210095 China department of mathematics Nanjing U-niversity Nanjing 210008 China

In this paper, we prove that the L-R smash product A(?)H is exactly the twisted smash product A * H if H is a finite dimensional cocommutative Hopf algebra, and give a sufficient and necessary condition for L-R smash products to be bialgebras (Hopf algebras) . For any finite dimensional coquasitriangular Hopf algebra (H,σ), we prove that the L-R smash product H(?)H is semisimple Artinian if H is semisimple and H * is unimodular. In particular, the L-R smash product D(H)* (?)D(H)* semisimple Artinian if the Drin-fel'd double D(H) is semisimple.

关键词： bimodule algebras L-R smash products coquasitriangular Hopf algebras Long bialgebras.

A Class of Plurisubharmonic Functions of Positively Homogeneous of Order ρ

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Systems Science and Systems Engineering 2000年第1期10卷 110-118页

作者： WANG Guang department of mathematics, shanxi {2., Taiyuan 030006,China

In this paper, we construct and discuss some plurisubharmonic functions of positively homogeneous of oder ρ and some weight system, which will be used in the study of the solution of Dirichlet problem for the com... 详细信息

关键词： plurisubharmonic function weight system Monge\|Ampère equation support function

Occupation Measures of Singularly Perturbed Markov Chains with Absorbing States

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Acta Mathematica Sinica,English Series 2000年第1期16卷 161-180页

作者： G.Yin~(1)) department of mathematics,Wayne State university,Detroit,MI 482.2.USAQ.Zhang~(2.) department of mathematics,university of Georgia,Athens,GA 30602.USAG.Badowski~(3)) department of mathematics,Wayne State university,Detroit,MI 482.2.USA department of mathematics Wayne State University Detroit MI 48202 USA department of mathematics University of Georgia Athens GA 30602 USA

This paper develops asymptotic properties of singularly perturbed Markov chains with inclusion of absorbing *** focuses on both unscaled and scaled occupation *** mild conditions,a mean-square estimate is *** averaging the fast components,we obtain an aggregated *** the aggregated process itself may be non-Markovian,its weak limit is a Markov chain with much smaller state ***,a suitably scaled sequence consisting of a component of scaled occupation measures and a component of the aggregated process is shown to converge to a pair of processes with a switching diffusion component.

关键词： Singularly perturbed Markov chain Occupation measure Aggregation Absorbing state Weak convergence Switching diffusion

Singular Integral Equations with Cosecant Kernel in Solutions with Singularities of High Order

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Wuhan university Journal of Natural Sciences 2005年第2期10卷 339-343页

作者： HAN Hui-li 1,2.,DU Jin-yuan 1,3 1. School of mathematics and Statistics, Wuhan university, Wuhan 430072. Hubei, China 2. School of mathematics and Computer, Ningxia university, Yinchuan 75002., Ningxia, China 3. department of mathematics, Hubei Institute for Nationalities, Enshi 445000, Hubei, China School of mathematics and Statistics Wuhan University Wuhan Hubei China School of mathematics and Computer Ningxia University Yinchuan Ningxia China department of Mathematies Hubei Institute for Nationalities Enshi Hubei China

We have discussed and solved the boundary value problem with period 2.π and the singular integral equation with kernel csc t-tv/a in solution having singularities of high order, where the smooth contour of integratio... 详细信息

关键词： boundary value problem singular integral equation the singularities of high order