求解Biot固结方程组的广义差分法

主要研究求解Biot固结方程组的广义差分法及其数值实验,得到了计算结果。     

THE SOLUTION FOR THE GENERALIZED RICCATI ALGEBRAIC EQUATIONS OF LINEAR EQUALITY CONSTRAINT SYSTEM

I.IntroductionTheestablishmentofanalogytheorybetweencomputationalstructuralmechanicsalldoptimalcontrolisbasedonthesubstructuralchaintheoryinstructuralmechanicsandthelillearquadratic(LQ)controlprobleminoptimalcontrolllJ.Whendealillgwiththecontrolproblenlbyapplyingtheabovethe.ry,wecanrealizetheadvantagesofmethodsinstrLlcturalInechanicsl2'3].Howevermostworkhasbeenlimitedtothenon-constraintsystemandlittleworkhasbeendonefortheconstraintsystemsofLlr.InRef.I4],basedonthegeneralizedvariationalprin…     

Proximal point algorithm with errors for generalized strongly nonlinear quasivariational inclusions

I.IntroductionLetHbeaHibertspaceendowedwithanorm11'11andaninnerproduct',.)andC(H)bethefamilyofallnonemptycompactsubsetsofH.LetT,A:H~C(H)besetvaluedmappings,g:H~Hbeasingle-valuedmappingand9:HxH~RU{ ac}besuchthatforeachfixedyeH,9.,y):H~RUt co}isaproperconvexlowersemicontinuousfunctiononHandg(H)ndomag'Y)#oforeachyeH,ThentheproblemoffindingxeH,ueT(x)andveA(x)suchthatg(x)edomag',x)and(u~v,y~g(x))39(g(x)'x)~9(y'x)(VYeH)(l.l)iscalledthegeneralizedstronglynonlinearquasivariationalinclusio…     

弹性圆板在一侧受均载而四周固定的条件下不用Kirchhoff-Love假设的一级近似理论(Ⅰ)

根据一般形状的三维弹性板不用Kirchhoff-Love假设的近似理论[1],[2],作者导出了三维弹性圆板的广义变分泛函,从而得到了圆板四周固定和一侧受均布载荷下的一级近似理论的微分方程和有关边界条件,其解析解答留待另文处理.     

现代结构系统可靠性评估理论研究进展

简要介绍大型结构系统可靠性评估理论的发展概况,对各个时期有代表性的估算方法进行了比较系统的分析,重点阐述了复杂系统可靠性精确评估理论的整体框架,对近年来兴起的随机有限元法,直接ＭｏｎｔｅＣａｒｌｏ模拟法,响应面法和广义失效面及广义母体分布重构方法的应用前景作了粗略的预测。      

GENERALIZED THEORY OF NONLINEAR AND UNSTEADY MECHANICS AND APPLICATIONS TO PARTICLE PHYSICS

ＧＥＮＥＲＡＬＩＺＥＤＴＨＥＯＲＹＯＦＮＯＮＬＩＮＥＡＲＡＮＤＵＮＳＴＥＡＤＹＭＥＣＨＡＮＩＣＳＡＮＤＡＰＰＬＩＣＡＴＩＯＮＳＴＯＰＡＲＴＩＣＬＥＰＨＹＳＩＣＳＹａｎｇＷｅｎ－ｘｉｏｎｇ（杨文熊）（ＳｈａｎｇｈａｉＪｉａｏｔｏｎｙＵｎｉｖｅｒｓｉｔｙ...     

广义脉冲谱方法的一个新形式及其应用

构造了一种新的、有一定抗噪能力的广义脉冲谱方法(GPST)的计算格式。设计了选取正则参数过程中节省计算量的技巧.最后探讨了方法在地震勘探一维波方程反问题上的应用,进行了数值模拟。     

考虑纤维端头脱粘的金属基复合材料轴向弹塑性拉伸性能的研究*

本文建立在广义自洽有限元迭代平均化方法的基础上,分析了纤维端头脱粘对SiC晶须增强铝基复合材料的轴向弹塑性拉伸性能的影响.分别计算了不同纤维长径比与体分比下有纤维端头脱粘情况的金属基复合材料的轴向拉伸性能.并与界面完好的情况相对比,得出了纤维端头脱粘的影响随纤维长径比增大而减小,和随纤维体分比增大而增大的结论.     

A new equilibrium existence theorem of generalized game

ＡＮＥＷＥＱＵＩＬＩＢＲＩＵＭＥＸＩＳＴＥＮＣＥＴＨＥＯＲＥＭＯＦＧＥＮＥＲＡＬＩＺＥＤＧＡＭＥＤｉｎｇＸｉｅ－ｐｉｎｇ（丁协平）（ＳｉｃｈｕａｎＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ,Ｃｈｅｎｇｄｕ）ＡＮＥＷＥＱＵＩＬＩＢＲＩＵＭＥＸＩＳＴＥＮＣＥＴＨＥ...     

A matrix method of displacement analysis of the general spatial 7R mechanism

An input-output equation of the general spatial 7R mechanism is derived in this paper by using the method in [1] and applying the rotation matrices. The result is the same as [2], but the process of derivation is simpler. Applying the character of rotation matrices, it is not difficult to obtain the recurrence formulas of direction cosines of Cartesian unit vectors, to calculate the scalar products and triple products of these unit vectors, and to derive the 6th constraint equation. Moreover, an algorithm, which consists of successive applications of row transformation and expansion based on Laplace’s Theorem, is given to evaluate the 16 × 16 determinant according to its characteristic, so that the evaluation is much simplified.