VIBRATIONS OF ONE-WAY RECTANGULAR STEPPEDTHIN PLATES ON WINKLER'S FOUNDATION

I.IntroductionUsedextensivelyillengineeringareone-wayrectallgularsteppedthinplates.suchaslongandnarrow"platesofl'Oundationbaseincivilengineering,high-c"a}'surface.retainingwall,undergroundstructurefi-ame,baseplatesofsluice.shipyardando\-ertlowdam.Theyshouldnotonlymeetrequirementsofstrength,stiffnessalldsteadinessofstructuresbutalsosavematerialstotileftlll.Thus,steppedstructuresarecolnmonl}'adoptedinengineerings.Sofar.vibratio,nsofsuChplateshavenotbeendiscussedinanyliterature.Inthispaper.disc…     

STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF'S SYSTEM IN TERMS OF INDEPENDENT VARIABLES

I.IntroductionInl927,AmericanmathematicianG.D.Birkh0ffgaveakindofequationsofdynamicswhichweremoregeneralthantheHamilton'sequationsinhiswork"DynamicalSystems-l'].TheequationsarecalledBirkhofCsequationssuggested.byAmericanphysicianR.M.SantiIIiinl978[2j.Inl9…     

Microstructures and properties of cancellous bone of avascular necrosis of femoral heads

The aim of this study is to investigate microscopic structure and characterize cancellous bone of avascular necrosis of the femoral head （ANFH）. The rabbit model of the ANFH is established. The histopathologic features are studied successfully. The differences between the steroidinjection group （S.G.） and the controlled group （C.G.） are examined, including the weight of rabbits, the hematological examination and the three-dimensional stnactures. It is found that the plasma levels of cholesterol （CHO）, high-density lipoprotein （HDL） and low-density lipoprotein （LDL） in S.G. are lower than those in C.G. when the triglyceride （TG） increased in the S.G.; but the bone mineral content （BMC） and the structural model index （SMI） of the organ and tissue decreased significantly in S.G. Three-dimensional structures of the femoral head are obtained using micro-computed tomography （CT） scanning and the mechanical model is established to analyze the influences of these structural changes on the mechanical properties of the cancellous bone.     

GEODESIC PRECESSION IN THE (Ω,A_(ab))-FIELD THEORY

I.IntroductionSupposethata(small)torque-freegyroscopewithspinSmovesa1ongageodesic.ThueSisparallellytransported.TheagreementbetWeentheparalleltransportandthegyroscoPetransportonlyholdsalonggeodesic.Itisknownthatinthecurvedspacetime,paralleltranspotthasdrasticeffectsonthedirectionofavectorandwetherefOreexPectsimilareffeCtsonagyroscoPe.The'correspondingspinpreeessionintheSchwarzschildfieldhasbeendiscussedindetailbyQhanianl'l,Murray13],'andStraumannM,etal.usingdifferentapproaches.Here,inth…     

Panderivative blown-up of ground temperature and predicting earthquake

I.IntroductionEarthquakeisanaturalphenomenonofthemovementinsidetheearthitself.Itisalwaysadamageprocesstohumanbeing,biosphereandsoon.itsreflectiollispreltlyseriotls.Itissignificanttoinvestigateitsactivityfeatureandconcerningprocess,tounderstallditsphysicalSubstancetoformulateproventingmeasuresandimprovemonitoringpossibility.Groundthermalheatcurrentcontainsplentit'ulinformationofgeology,geophysicalilndgeochemistry.Itisimportantforgeoscienceresearch.Ithasbeenprovedthatthereexigtgoutgoinggeother…     

Viscosity approximation with weak contractions for fixed point problem,equilibrium problem,and variational inequality problem

This paper proposes a modified iterative algorithm using a viscosity approximation method with a weak contraction.The purpose is to find a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of a finite family of equilibrium problems that is also a solution to a variational inequality.Under suitable conditions,some strong convergence theorems are established in the framework of Hilbert spaces.The results presented in the paper improve and extend the corresponding results of Colao et al.（Colao,V.,Acedo,G.L.,and Marino,G.An implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive mappings.Nonlinear Anal.71,2708–2715（2009））,Plubtieng and Punpaeng（Plubtieng,S.and Punpaeng,R.A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces.J.Math.Anal.Appl.336,455–469（2007））,Colao et al.（Colao,V.,Marino,G.,and Xu,H.K.An iterative method for finding common solutions of equilibrium problem and fixed point problems.J.Math.Anal.Appl.344,340–352（2008））,Yao et al.（Yao,Y.,Liou,Y.C.,and Yao,J.C.Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings.Fixed Point Theory Application 2007,Article ID 64363（2007）DOI 10.1155/2007/64363）,and others.     

Geometrical nonlinear waves in finite deformation elastic rods

IntroductionSomenewphenomenaofnonlinearwavesinthesolidmediumsuchasshockwave ,solitarywaveetc.arepaidmoreattentiontoincreasinglybyresearchersbecausetheytakeonalotofimportantproperties.ItistheoreticallyanalyzedinRefs.[1 -6]thattheformationmechanismsofshockwaveandsolitarywaveintheelasticthinrodsaswellastheirpropagationproperties.TheexistenceofsolitarywaveintheelasticmediumsuchasarodandaplatehasbeenverifiedinRef.[7]byexperiments.Shockwaveandsolitarywavearesteadilypropagatingtraveling_wavesgenerat…     

Modified iterative method for augmented system

The successive overrelaxation-like(SOR-like) method with the real parameters ω is considered for solving the augmented system. The new method is called the modified SOR-like(MSOR-like) method. The functional equation between the parameters and the eigenvalues of the iteration matrix of the MSOR-like method is given. Therefore, the necessary and sufficient condition for the convergence of the MSOR-like method is derived. The optimal iteration parameter ω of the MSOR-like method is derived. Finally, the proof of theorem and numerical computation based on a particular linear system are given, which clearly show that the MSOR-like method outperforms the SOR-like(Li, C. J., Li, B. J., and Evans, D. J. Optimum accelerated parameter for the GSOR method. Neural, Parallel Scientific Computations, 7(4), 453–462(1999)) and the modified symmetric SOR-like(MSSOR-like) methods(Wu, S. L., Huang, T. Z., and Zhao, X. L. A modified SSOR iterative method for augmented systems.     

Homotopy analysis method: A new analytic method for nonlinear problems

I.IntroductionAlthoughtherapiddevelopmentofdigitalcomputersmakesiteasierandeasiertonumericallysolvenolllinearproblems,itisstillratherditliculttogivethed'analyticapproximations.Currently,mostofour11onlinearanalytictechlliquesill'cunsatislllctory.Forinstance,althoughpel.turbatiolltechlliquesarewidelyappliedtoalZalyzcnolllillcarproblcllisillscienceandengineerillg,theyarehoweversostronglydependentonsmall13arall,etersappearedinequatiollsunderconsiderationthattheyarerestrictedonlytoweLlklynolllinea…     

Caristi type hybrid fixed point theorems in menger probabilistic metric space

I.IntroductionandPreliminariesInl976,CaristiprovedtheCaristi'sfixedpointtheoreminIll.Becausethistheoremdoesnotrequirethecontinuityofthemapping.ittindsapplicationsinmanyfields.Inl99l,S.S.Changetal.l'l,broughtforwardCaristi'sfixedpointtheoremandEkeland'svar…     

LAGRANGE'S THEOREM FOR A CLASS OF NONHOLONOMICSYSTEMS AND ITS APPLICATION

I.IntroductionSinceE.T.Whittaker.proposedfoestabilit}'problellll'lofnonholononlicsystemsin1904forthefirsttime,thescholarsathomeandabroad11a\'emadealotofresearchesontheequilibriunlstabilityoflinearand11olllinearnonllolollolnicsystems,andhaveobtainedaseriesofimportantresultslZ--7].Hobbled'er,theexpositionandapplicationrelatedtoLagrange'stheorenlinthestabilityanalysisfornonholonomicsystemsisseldonlseenuptonow.Althoughitwasmentionedinreference[3].aspecialdiscussionhasnotbeencarriedoutyet.Asafam…     

1st UMN-CAS Bilateral Seminar on PM2.5 science,health effects and control technology Xi＇an,China, May 27-28, 2014

<正>The First UMN-CAS Bilateral Seminar was successfully concluded with all the goals met.The meeting in Xi'an was informative,stimulating and enjoyable,thanks to the local host,Prof.Junji Cao,and his capable staff.The Bilateral Seminar was organized by Prof.David Y.H.Pui of the University of Minnesota and Prof.Junji Cao of the Institute of Earth Environment,Chinese Academy of Sciences.It was attended by approximately 100 delegates from the University of Minnesota(UMN),the Center for Filtration Research(CFR),the Chinese Academy of Sciences(CAS)and other famous Chinese universities.We are grateful for the opening remarks     

Nonlinear semigroups and differential inclusions in probabilistic normed spaces

I.IntroductionTheconceptofaccretivemappingsisoffundamentalimportanceinthetheoryofsetvaluednonlinearoperators,differentialequationsandpartialdifferentialequationsinBanachspaces,whichwasintroducedindependentlybyF.E.Browdert31andT.Katolll].Ontheotherhand,manyauthorshavedoneconsiderableworkonsemigroupsofnonlinearcontractions,differentialequationsandevolutionequationsinBanachspacesandHilbertspaceal"='4'?.8.l:,13j.Recently,theauthorsintroducedtheconceptofaccretivemappingst"andsomeelementaryprope…     

Mechanical properties of lattice grid composites

Unfortunately, an error occurred in Fig. 12. The corrected Fig. 12 is given below.     

Further study of rubber-like elasticity： elastic potentials matching biaxial data＊

By virtue of the rational interpolation procedure and logarithmic strain, a direct approach is proposed to obtain elastic potentials that exactly match uniaxial data and shear data for elastomers. This approach reduces the determination of multiaxial elastic potentials to that of two one-dimensional potentials, thus bypassing usual cumbersome procedures of identifying a number of unknown parameters. Predictions of the suggested potential are derived for a general biaxial stretch test and compared with the classical data given by Rivlin and Saunders(Rivlin, R. S. and Saunders, D. W. Large elastic deformation of isotropic materials. VII: experiments on the deformation of rubber. Phill. Trans. Royal Soc. London A, 243, 251–288(1951)). Good agreement is achieved with these extensive data.     

飓风理论

本文内容曾由作者K.A.Emanuel于1990年8月在维也纳国际理论与应用力学联合会和国际测地与地球物理联合会(IUTAM/IUGG)召开的强气旋与热带风暴小型工作会议(TC Workshop)上作过报告,时飓风理论提出了许多有趣的科学问题.这次会议是国科联为了响应联合国国际减灾10年(IDNDR)的决议而召开的.参加这次会议的有J.Lighthill(英国),R.P.Pearce(英国),G.B.Tucker(澳大利亚),K.A.Emanuel(美国),B.Johns(英国),Y.Kurihara(日本),郑哲敏(中国),M.E.McIntyre(英国),M.P.Singh(印度)9位专家.这次会议形成了开展热带气旋风暴灾害(Tropical Cyclone Disasters)研究的建议.这项建议已被国科联国际减灾10年专门委员会(ICSU Special Committee)确定为三大重点研究项目之一,并拟于1992年在中国召开亚洲热带气旋风暴灾害学术会议(Asian Symposium on Tropical Cyclone Disasters).我们发表这篇译文,是希望能引起我国力学界,气象学界,...     

Corrigendum to ＂Carbon combustion synthesis of lithium cobalt oxide as cathode material for lithium ion battery＂ [Particulogy 6 （2008） 81-84]

The authors would like to include the following important reference which they missed when the above paper was published： “Martirosyan, K. S., ＆ Luss, D. （2005）. Carbon combustion synthesis of complex oxides： Process demonstration and features. AIChE Journal, 51（10）, 2801-2810.” The authors wish to thank Dr. Karen Martirosyan for pointing out this error.