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1.
In this paper we analyze the behavior of plane harmonic waves and Rayleigh waves in a linear thermoelastic material with voids. We take into account the damped effects of the thermal field upon the propagation waves. Consequently, the propagation condition is established in the form of an algebraic equation of 9th degree whose coefficients are complex numbers while the eigensolutions of the thermoelastodynamic with voids system are explicitly obtained in terms of the characteristic solutions. We show that the transverse waves are undamped in time and they are not influenced by the thermal and porous effects while the longitudinal waves are all damped in time and they are coupled with the thermal and porous effects. The related solution of the Rayleigh surface wave problem is expressed as a linear combination of the eigensolutions in concern. The secular equation is established in an implicit form and afterwards an explicit form is written for an isotropic and homogeneous thermoelastic with voids half-space. Furthermore, we use the numerical methods and computations to solve the secular equation for a specific material. 相似文献
2.
We study the relationship between the Ferrers property and the notion of interval order in the context of valued relations.
Given a crisp preference structure without incomparability, the strict preference relation satisfies the Ferrers property
if and only if the associated weak preference relation does. These conditions characterize a total interval order. For valued
relations the Ferrers property can be written in two different and non-equivalent ways. In this work, we compare these properties
by finding the kind of completeness they imply. Moreover, we study whether they still characterize a valued total interval
orders. 相似文献
3.
Flow through a channel whose walls are lined with non-erodible porous material is investigated using Beavers and Joseph slip
boundary condition. It is shown that the effect of porous lining is to increase the mass flow rate and to decrease the friction
factor. 相似文献
4.
ChaiGenxiang XuKejun 《高校应用数学学报(英文版)》1999,14(3):329-336
In this paper,a semlparametrie resresaion model in which errors are i. i. d random variables from an unknown density f( ) is considered. Based on Hall et al. (1995),a nonlinear wavelet estimation of f( ) without restrictions of continuity everywhere on f( ) is given,and the convergence rate of the estimators in L2 is obtained. 相似文献
5.
Tong Xiaojiao Zhou Shuzi Dept. of Appl.Math. Hunan Univ. Changsha . Dept.of Math. Changsha Univ.of Electric Power Changsha 《高校应用数学学报(英文版)》2000,(2)
§ 1 IntroductionIn this paper we study the following nonlinear equality constrained optimization prob-lem:minimize f(x) ,subjectto h(x) =0 ,(P)where h(x) =(h1 (x) ,h2 (x) ,...,hm(x) ) T,f and hi(i=1 ,2 ,...,m) are Rn→R twice conti-nously differentiable(m≤n) .Many authors have studied the problem(P) with trustregion method(see,references[1~ 3 ] ) .These methods have the same property:to enforce strict monotonicity for meritfunction at every iteration.Paper[4 ] shows thatstrictmonotonic … 相似文献
6.
Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings 总被引:2,自引:1,他引:1
In this paper, some iterative schemes for approximating the common element of the set of zero points of maximal monotone operators and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Some strong convergence theorems are obtained, to extend the previous work. 相似文献
7.
Abstract. The trace representation of the dual of quaternary Goethals code δ(m) is given . It isproved that the shortened code of δ(m) is cyclic and its generators are shown. 相似文献
9.
一类非线性二阶差分方程解的振动性 总被引:7,自引:0,他引:7
本文建立了非线性二阶差分方程的若干振动准则,所得结果改进了文[5]中相应的定理. 相似文献
10.
一类双对称矩阵反问题的最小二乘解 总被引:55,自引:0,他引:55
1.问题的提出近年来,对于矩阵反问题AX=B的研究已取得了一系列的结果[1],获得了解存在的条件,但由于实际问题中X,B由实验给出,很难保证满足解存在的条件,因此研究问题的最小二乘解是有实际意义的.本文就结构设计中用到的一类双对称矩阵的最小二乘问题进行探讨.令R~(n×m)表示所有n×m阶实矩阵集合,R~n=R~(n×1) 表示其中秩为r的子集;OR~(n×n) 表示所有n阶正交阵之集;A~( )表示矩阵A的Moore-Penrose广义逆;I_k表示k阶单位阵;||·||表示Frobenius范数;表示SR~(n… 相似文献