THE ANALYTICAL STUDY ON THE LASER INDUCED REVERSE-PLUGGINGEFFECT BY USING THE CLASSICAL ELASTIC PLATETHEORY (Ⅰ)-TEMPERATURE FIELDS

The temperature distributions in the metallic foils induced by spatially cylindrical long-pulsed laser is exammed in order to analyse the newly-discovered reverse-plugging effect (RPE). An exact solution for the temperature fields is derived by using the Hankel transform and Laplace transform. Numerical results are obtained for both spatial distributions with Gaussian and cylindrical types. The results show that the spatially cylindrical distribution of laser offers a formidable potential for the RPE. Project supported by the Field of Laser Technology of the National High-Tech. Research and Development Programme, i.e., the 863 plan.     

THE ANALYTICAL STUDY ON THE LASER INDUCED REVERSE－PLUGGING EFFECT BY USING THE CLASSICAL ELASTIC PLATE THEORY（II）──REVERSE－BULGE MOTION

ＴＨＥＡＮＡＬＹＴＩＣＡＬＳＴＵＤＹＯＮＴＨＥＬＡＳＥＲＩＮＤＵＣＥＤＲＥＶＥＲＳＥ－ＰＬＵＧＧＩＮＧＥＦＦＥＣＴＢＹＵＳＩＮＧＴＨＥＣＬＡＳＳＩＣＡＬＥＬＡＳＴＩＣＰＬＡＴＥＴＨＥＯＲＹ（ＩＩ）──ＲＥＶＥＲＳＥ－ＢＵＬＧＥＭＯＴＩＯＮ￥(周益春，...     

THE ANALYTICAL STUDY ON THE LASER INDUCED REVERSE－PLUGGING EFFECT BY USING THE CLASSICAL ELASTIC PLATE THEORY（Ⅰ）－TEMPERATURE FIELDS

ＴＨＥＡＮＡＬＹＴＩＣＡＬＳＴＵＤＹＯＮＴＨＥＬＡＳＥＲＩＮＤＵＣＥＤＲＥＶＥＲＳＥ－ＰＬＵＧＧＩＮＧＥＦＦＥＣＴＢＹＵＳＩＮＧＴＨＥＣＬＡＳＳＩＣＡＬＥＬＡＳＴＩＣＰＬＡＴＥＴＨＥＯＲＹ（Ⅰ）－ＴＥＭＰＥＲＡＴＵＲＥＦＩＥＬＤＳＺｈｏｕＹｉｃｈｕｎ...     

THE ANALYTICAL STUDY ON THE LASER INDUCED REVERSE－PLUGGING EFFECT BY USING THE CLASSICAL EIASTIC PLATE THEORY（I）─TEMPERATURE FIELDS

ＴＨＥＡＮＡＬＹＴＩＣＡＬＳＴＵＤＹＯＮＴＨＥＬＡＳＥＲＩＮＤＵＣＥＤＲＥＶＥＲＳＥ－ＰＬＵＧＧＩＮＧＥＦＦＥＣＴＢＹＵＳＩＮＧＴＨＥＣＬＡＳＳＩＣＡＬＥＩＡＳＴＩＣＰＬＡＴＥＴＨＥＯＲＹ（Ｉ）─ＴＥＭＰＥＲＡＴＵＲＥＦＩＥＬＤＳＺｈｏｕＹｉｃｈｕｎ...     

STUDY ON THE COMPLICATED DYNAMICAL BEHAVIORS OF NONLINEAR ECOSYSTEM (Ⅰ)

This series of papers is prepared to develop systematically the complicated dynamical behaviors of nonlinear ecosystem and its internal mechanism. In this paper, we state briefly the increasing importance of ecology, describe and comment on the situations and reasons why ecology theory is behind practice. Then, we point out a procedure which modern ecology research should obey, and discuss the four basic characteristics of ecosystem in detad: level, opening, nonlinear and far from equilibrium. At last, we discuss systematically equilibrium and nonequilibrium, stable and unstable, environmental stochasticity and dynamical stochasticity, and conclude that there exists a bridge between deterministic behaviors and stochastic behaviors, which will result in a new model for ecological prediction.     

STUDY ON THE COMPLICATED DYNAMICAL BEHAVIORS OF NONLINEAR ECOSYSTEM (Ⅰ)

This series of papers is prepared to develop systematically the complicated dynamical behaviors of nonlinear ecosystem and its internal mechanism. In this paper, we state briefly the increasing importance of ecology, describe and comment on the situations and reasons why ecology theory is behind practice. Then, we point out a procedure which modern ecology research should obey, and discuss the four basic characteristics of ecosystem in detail: level, opening, nonlinear and far from equilibrium. At last, we discuss systematically equilibrium and nonequilibrium, stable and unstable, environmental stochasticity and dynamical stochasticity, and conclude that there exists a bridge between deterministic behaviors and stochastic behaviors, which will result in a new model for ecological prediction.Supported by Youth Fund of Chinese Academy of Science and Youth Fund of Lanzhou University.     

STUDY ON THE COMPLICATED DYNAMICAL BEHAVIORS OF NONLINEAR ECOSYSTEMS(Ⅲ)

This paper is a continuous study of references[1-2].At first,we introduce theconcept of assembles of ecosystems,and then discuss macro-and micro-synergeticalmethods for ecology study.Combining the two methods,by use of the macroscopic data(observable)outputted from the ecosystems,we can construct their GGLE,master theirinformation changes between,before and after the generalized phase changes(e.g.community successions),and find out the action mechanisms of microscopic factors onmacroscopic results.This may be a new approach to the study of action mechanisms ofcomplex ecosystems.     

INFLUENCE OF AIR HUMIDITY ON THE SUPPRESSION OF FUGITIVE DUST BY USING A WATER-SPRAYING SYSTEM

One of the main origins of fugitive dust emission arises from bulk handling in quarries or mines, in particular, from bulk materials falling from a hopper or a conveyor belt. Water-spraying systems, using two-phase nozzles, are one of the methods to suppress such dust emission. In this work we tried to develop a mathematical model to correlate air humidity, water flux through the nozzle and the dust （in particular PM10） emission, in order to improve the application and efficiency of these systems. Sand from the Yellow River in China was dropped from a conveyor belt into a dust chamber at 1 kg·min^-1, wherefrom the emitted dust was sucked off and quantified via a cascade impactor. A two-phase nozzle was installed in the dust chamber with a water flux through the nozzle of 1.2 to 3 L·h^-1, whereas the relative air humidity changed between 55 and 73%. Dust emission was found to be linearly dependent on relative air humidity. Furthermore model equations were developed to describe the dependence of PM10 emission on water flux and relative air humidity.     

ON THE MECHANISM OF TURBULENT COHERENT STRUCTURE(II)──A PHYSICAL MODEL OF COHERENT STRUCTURE FOR THE ROUGH BOUNDARY LAYER

In this paper, the differences of turbulent coherent structure between the smooth and rough boundary layers are analysed. Based on the discussing the transient properties from the smooth wall to the rough wall, the physical model of coherent structure for the rough boundary layer are established. The width of slowly-moving turbulent spot and the bursting time are obtained, which are in agreement with experimental results.The project supported by the National Nature Science Foundation of China     

ON THE LATTICE PATH METHOD IN CONVOLUTION-TYPE COMBINATORIAL IDENTITIES (II)—THE WEIGHTED COUNTING FUNCTION METHOD ON LATTICE PATHS

An independent method for paper [10]is presented. Weighted lattice paths are enumerated by counting function which is a natural extension of Gaussian multinomial coefficient in the case of unrestricted paths. Convolutions for path counts are investigated, which yields some Vandermunde-type identities for multinomial and q — multinomial coefficients.     

ON ANALYTICAL SOLUTIONS OF THE EQUATION u_(tt)-cu_(xx)+au+bu~3=0

In this paper a set of the analytical solutions of the equation u_(tt)-cu_(xx)+au+bu~3=0 are given.     

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS(Ⅱ)──PART 1

The study of linear and global properties of linear dynamical systems on vector bundles appeared rather extensive already in the past. Presently we propose to study perturbations of this linear dynamics. The perturbed dynamical system which we shall consider is no longer linear, while the properties to be studied will be still global in general. Moreover, we are intersted in the nonuniformly hyperbolic properties. In this paper, we set an appropriate definition for such perturbations. Though it appears somewhat not quite usual, yet has deeper root in standard systems of differential equations in the theory of differentiable dynamical systems. The general problem is to see which property of the original given by the dynamical system is persistent when a perturbation takes place. The whole content of the paper is devoted to establishing a theorem of this sort.     

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS(Ⅱ)──PART 1

ＮＯＴＥＳＯＮＡＳＴＵＤＹＯＦＶＥＣＴＯＲＢＵＮＤＬＥＤＹＮＡＭＩＣＡＬＳＹＳＴＥＭＳ（Ⅱ）──ＰＡＲＴ１ＬｉａｏＳｈａｎｔａｏ（廖山涛）Ａｂｓｔｒａｃｔ：Ｔｈｅｓｔｕｄｙｏｆｌｉｎｅａｒａｎｄｇｌｏｂａｌ．ｐｒｏｐｅｒｔｉｅｓｏｆｌｉｎｅａｒｄｙｎ...     

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS (Ⅱ)──PART 2

IV.ChangingVariablesTheproofofthemaintheoremstatedinSectionIofthepaperwillbecompletedinSectionVI.Now,withthesystem.)giveninSectionill,letuswritesimplyTheexistenceofsuchf(k)followsfromtheproperty(II)ofthesystem.).Theexistenceisunique.Thenbytheproperty(II)o…     

ON THE MECHANISM OF TURBULENT COHERENT STRUCTURE (I)──THE PYSICAL MODEL OF THE COHERENT STRUCTUREFOR THE SMOOTH BOUNDARY LAYER

In this paper, based on the discussion of properties of the turbulent coherent structure for smooth boundary layer, a physical model has been established. The width of slowly-moving streak line and bursting time of coherent structure expressed by momentum thickness Reynolds number of boundary layer have been obtained, which are in agreement with the experimental data^[3,4,5,7] Project supported by the National Natural Science Foundation of China     

NOTES ON A STUDY OF VECTOR BUNDLE DYNAMICAL SYSTEMS(Ⅰ)

ＮＯＴＥＳＯＮＡＳＴＵＤＹＯＦＶＥＣＴＯＲＢＵＮＤＬＥＤＹＮＡＭＩＣＡＬＳＹＳＴＥＭＳ（Ⅰ）ＬｉａｏＳｈａｎｔａｏ（廖山涛）（ＭａｔｈｅｍａｔｉｃｓＤｅｐａｒｔｍｅｎｔａｎｄＭａｔｈｅｍａｔｉｃｓＩｎｓｔｉｔｕｔｅ，ＰｅｋｉｎｇＵｎｉｒｅｒｓｉｔｙ，...     

THE METHOD OF THE RECIPROCAL THEOREM OF FORCED VIBRATION FOR THE ELASTIC THIN RECTANGULAR PLATES (III)—CANTILEVER RECTANGULAR PLATES

In this paper, applying the method of the reciprocal theorem, we give the stationary solutions of the forced vibration of cantilever rectangular plates under uniformly distributed harmonic load and concentrated harmonic load acting at any point of the plates, the figures and tables of number value of bending moment and the deflection amplitudes as well.     

ON THE DEGREE THEORY FOR MULTIVALUED(S_ ) TYPE MAPPINGS

I.IntroductionThetopologicaldegreetheoryofmultivalued(s)typemappingshasbeenestablishedbyZhangandChenllj.Tilepresentnoteprovidesafurthercontributioninthisdirection'.Weshallcollstructtinal,proxilllLltivcdcgrcctheoryI'OI'aclassofInultivalucdmappingsofthel'ornlF=L SfromthedolnaillD(L)inarealretlexiveBanachspaceXtoitsdualspaceX*,whereLisacloseddenselydcllned1llaxllllal1llollotolleoperatorandSisab1ultivalucd1flapofclass(S )withrespecttoD(L).OurconstructionisbasedonsuitableapproximationsofL …     

ON THE MECHANISM OF TURBULENT COHERENT STRUCTURE（II）──A PHYSICAL MODEL OF COHERENT STRUCTURE FOR THE ROUGH BOUNDARY LAYER

（刘宇陆）（蔡树棠）ＯＮＴＨＥＭＥＣＨＡＮＩＳＭＯＦＴＵＲＢＵＬＥＮＴＣＯＨＥＲＥＮＴＳＴＲＵＣＴＵＲＥ（ＩＩ）──ＡＰＨＹＳＩＣＡＬＭＯＤＥＬＯＦＣＯＨＥＲＥＮＴＳＴＲＵＣＴＵＲＥＦＯＲＴＨＥＲＯＵＧＨＢＯＵＮＤＡＲＹＬＡＹＥＲ￥ＬｉｕＹｕｌｕ；Ｃ...