SOLUTIONS OF THE GENERALn－TH ORDER VARIABLE COEFFICIENTS LINEAR DIFFERENCE EQUATION

ＳＯＬＵＴＩＯＮＳＯＦＴＨＥＧＥＮＥＲＡＬｎ－ＴＨＯＲＤＥＲＶＡＲＩＡＢＬＥＣＯＥＦＦＩＣＩＥＮＴＳＬＩＮＥＡＲＤＩＦＦＥＲＥＮＣＥＥＱＵＡＴＩＯＮＺｈｏｕＺｈｉ－ｈｕ（周之虎）（ＡｎｈｕｉＡｒｃｈｉｔｅｃｔｕｒｅＩｎｄｕｓｔｒｙＣｏｌｌｅｇｅ）．Ｈ...     

A modified method of averaging for solving a class of nonlinear equations

ＡＭＯＤＩＦＩＥＤＭＥＴＨＯＤＯＦＡＶＥＲＡＧＩＮＧＦＯＲＳＯＬＶＩＮＧＡＣＬＡＳＳＯＦＮＯＮＬＩＮＥＡＲＥＱＵＡＴＩＯＮＳＺｈａｎｇＢａｏ－ｓｈａｎ（张宝善）（ＤｅｐａｒｉｍｅｎｔｏｆＭａｉｈ．,ＸｕｚｈｏｕＴｅａｃｈｅｒｓＣｏｌｌｅｇｅ,Ｘｕｚｈ...     

THE BOUNDED EXTERMINATION AND STABILITY OF MUTUAL INTERFERENCE SYSTEM OF FOUR－DIMENSIONAL SPECIES

ＴＨＥＢＯＵＮＤＥＤＥＸＴＥＲＭＩＮＡＴＩＯＮＡＮＤＳＴＡＢＩＬＩＴＹＯＦＭＵＴＵＡＬＩＮＴＥＲＦＥＲＥＮＣＥＳＹＳＴＥＭＯＦＦＯＵＲ－ＤＩＭＥＮＳＩＯＮＡＬＳＰＥＣＩＥＳＨｏｕＧａｎ－ｓｈｅｎｇ（侯赣生）（Ｄｅｐｌ．ｏｆＰｈｙｓｉｃｓ,Ｊｉａｎｇｘ...     

INTEGRABLE TYPES OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION SETS OF HIGHER ORDERS

ＩＮＴＥＧＲＡＢＬＥＴＹＰＥＳＯＦＮＯＮＬＩＮＥＡＲＯＲＤＩＮＡＲＹＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＥＴＳＯＦＨＩＧＨＥＲＯＲＤＥＲＳＴａｎｇＧｕａｎｇｓｏｎｇ（汤光宋）（ＭａｔｈｅｍａｔｉｃｓＤｅｐａｒｔｍｅｎｔ,ＪｉａｎｇｈａｎＵｎｉｖ...     

SOLUTIONS FOR A SYSTEM OF NONLINEAR RANDOM INTEGRAL AND DIFFERENTIAL EQUATIONS

ＳＯＬＵＴＩＯＮＳＦＯＲＡＳＹＳＴＥＭＯＦＮＯＮＬＩＮＥＡＲＲＡＮＤＯＭＩＮＴＥＧＲＡＬＡＮＤＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳ￥ＤｉｎｇＸｉｅｐｉｎｇ（丁协平）ＷａｎｇＦａｎ（王凡）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｓｉｃｈ...     

LOCAL BIFURCATION ANALYSIS OF STRONGLY NONLINEAR DUFFING SYSTEM

ＬＯＣＡＬＢＩＦＵＲＣＡＴＩＯＮＡＮＡＬＹＳＩＳＯＦＳＴＲＯＮＧＬＹＮＯＮＬＩＮＥＡＲＤＵＦＦＩＮＧＳＹＳＴＥＭＢｉＱｉｎｓｈｅｎｇ（毕勤胜）；ＣｈｅｎＹｕｓｈｕ（陈予恕）；ＷｕＺｈｉｑｉａｎｇ（吴志强）Ａｂｓｔｒａｃｔ：Ｂｙｕｓｉｎｇｃｏｏｒｄｉｎ...     

LARGE AMPLITUDE VIBRATION OF CIRCULAR SANDWICH PLATE

ＬＡＲＧＥＡＭＰＬＩＴＵＤＥＶＩＢＲＡＴＩＯＮＯＦＣＩＲＣＵＬＡＲＳＡＮＤＷＩＣＨＰＬＡＴＥＳＤｕＧｕｏ－ｊｕｎ（杜国君）（ＮｏｒｉｈｅａｓｉＩｎｓｔｉｔｕｔｅｏｆＨｅａｖｙＭａｃｈｉｎｅｒｙ,Ｑｉｑｉｈａｒ）（ＲｅｃｅｉｖｅｄＪａｎ．２,１９９２,...     

STUDYING THE FOCAL VALUE OF ORDINARY DIFFERENTIAL EQUATIONS BY NORMAL FORM THEORY

ＳＴＵＤＹＩＮＧＴＨＥＦＯＣＡＬＶＡＬＵＥＯＦＯＲＤＩＮＡＲＹＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＢＹＮＯＲＭＡＬＦＯＲＭＴＨＥＯＲＹＺｈａｎｇＱｉｃｈａｎｇ（张琪昌）（ＴｉａｎｊｉｎＵｎｉｖｅｒｓｉｔｙ．Ｔｉａｎｊｉｎ３０００７２．Ｐ．Ｒ．Ｃ...     

THE SLIDING SURFACE ALGORITHMSINTHREE－DIMENSIONAL DYNAMIC FINITE ELEMENT CODE

ＴＨＥＳＬＩＤＩＮＧＳＵＲＦＡＣＥＡＬＧＯＲＩＴＨＭＳＩＮＴＨＲＥＥ－ＤＩＭＥＮＳＩＯＮＡＬＤＹＮＡＭＩＣＦＩＮＩＴＥＥＬＥＭＥＮＴＣＯＤＥＳｏｎｇＳｈｕｎ－ｃｈｅｎｇ（宋顺成）（ＩｎｎｅｒＭｏｎｇｏｌｕａＲｅｓｅａｒｃｈＩｎｓｔｉｔｕｔｅｏｆＭｅｔ...     

The conservation law and the radiation of general relativity

ＴＨＥＣＯＮＳＥＲＶＡＴＩＯＮＬＡＷＡＮＤＴＨＥＲＡＤＩＡＴＩＯＮＯＦＧＥＮＥＲＡＬＲＥＬＡＴＩＶＩＴＹＬａｍＹｕ－ｙｉｕ（林汝耀）（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ）ＨｏｎｇＫｏｎｇＰｏｌｙｔｅｃｈｎｉｃ．ＨｏｎｇＫｏｎ...     

INVARIANT FORM AND INTEGRAL INVARIANTS ON KAHLER MANIFOLD

The important notions and results of the integral invariants of Poincare and Cartan-Poincare and the relationship between integral invariant and invariant form established first by E. Cartan in the classical mechanics are generalized to Hamilton mechanics on Kahler manifold, by the theory of modern geometry and advanced calculus, to get the corresponding wider and deeper results.     

DYNAMICS IN NEWTONIAN-RIEMANNIAN SPACE-TIME(Ⅳ)

Lagrangian mechanics in Newtonian-Riemannian space-time and relationship between Lagrangian mechanics and Newtonian mechanics, and between Lagrangian mechanics and Hamiltonian mechanics in N-R space-time are discussed.     

DYNAMICS IN NEWTONIAN-RIEMANNIAN SPACE-TIME (Ⅳ)

ＩｎｔｒｏｄｕｃｔｉｏｎＬａｇｒａｎｇｉａｎｍｅｃｈａｎｉｃｓｉｓａｎｉｍｐｏｒｔａｎｔｐａｒｔｏｆａｎａｌｙｔｉｃａｌｍｅｃｈａｎｉｃｓ.ＩｔｉｓａｇｅｎｅｒａｌｉｚａｔｉｏｎｏｆＮｅｗｔｏｎｉａｎｍｅｃｈａｎｉｃｓ.Ｎｅｗｔｏｎｉａｎｍｅｃｈａｎｉｃｓｉｓｅｓｔａｂｌｉｓｈｅｄｏｎｔｈｅｃｏｎｆｉｇｕｒａｔｉｏｎｓｐａｃｅ—Ｒｉｅｍａｎｎｉａｎｍａｎｉｆｏｌｄ .Ｌａｇｒａｎｇｉａｎｍｅｃｈａｎｉｃｓｉｓｅｓｔａｂｌｉｓｈｅｄｏｎｉｔｓｔａｎｇｅｎｔｂｕｎｄｌｅ ,Ｈａｍｉｌｔｏｎｉａｎｍｅｃｈａ…     

准一维拉氏分析方法及其在凝聚炸药冲击波起爆研究中的应用

本文提出了一种准一维拉氏分析方法,用二维拉氏实验方法测得的不同拉氏位置上的压力和径向位移的变化曲线作为输入量,就能求解二维冲击波起爆过程中对称轴附近的流场。作为初步应用,文中列出了在两种加载条件下,压装TNT的二维冲击波起爆过程的分析结果。     

HAMILTONIAN MECHANICS ON KAHLER MANIFOLDS

Using the mechanical principle, the theory of modern geometry and advanced calculus, Hamiltonian mechanics was generalized to Kahler manifolds, and the Hamiltonian mechanics on Kahler manifolds was established. Then the complex mathematical aspect of Hamiltonian vector field and Hamilton's equations was obtained, and so on.     

Numerical Study and Lagrangian Modelling of Turbulent Heat Transport

A stochastic Lagrangian model for both fluid velocities and temperature fluctuations is evaluated from Direct Numerical Simulation of heat transport in homogeneous isotropic turbulence submitted to a linear mean temperature gradient. The first stage lies on the study of the Lagrangian fluid turbulence statistics (Lagrangian correlations functions) computed from predictions of DNS. They are crucial for the analysis and the modelling of the fluid turbulent properties along discrete particle trajectories. In the second stage, a velocity-scalar Lagrangian stochastic model is proposed and evaluated from the DNS data. The coefficients of the drift and diffusion terms of the model are determined by only Lagrangian timescales, temperature variance and turbulent flux. The shapes of correlation functions present a good agreement between DNS results and stochastic modelling approach.     

A new method for particle manipulation by combination of dielectrophoresis and field-modulated electroosmotic vortex

A field-modulated electroosmotic flow (FMEOF) in a microchannel can be obtained by applying modulating electric fields in a direction perpendicular to the channel wall. Micro-vortexes are generated around the electrodes along with an EOF due to the surface charge on the modulated wall. When polarizable particles are suspended near the electrodes, they experience dielectrophoretic forces due to a non-uniform electric field. In this paper, micro-vortexes and dielectrophoretic forces are combined to achieve separation and trap different sized particles in a continuous flow. Numerical results indicate that by adjusting the driving electric field parallel to the channel wall and the modulating electric field, the ratio of dielectrophoretic and hydrodynamic forces can be altered. One type of particles can be trapped by micro-vortexes (negative dielectrophoresis (DEP)), and the other particles are transported to the downstream so that the particles are separated. The influence of the electrode length and the channel height on the trapping rate is investigated.     

多速度计测量的拉格朗日分析方法研究

拉格朗日分析方法已广泛应用于爆炸力学中的小隔板试验分析以及混凝土和紫铜等惰性材料的气体炮试验分析。然而,现有的拉格朗日分析方法在分析过程中需要进行多次积分,导致误差逐次增大。为了解决这个问题,提出多速度计测量的拉格朗日分析方法,该方法由粒子速度计算得到所研究的压力、相对比容及比内能等时程曲线。对比了现有的拉格朗日分析方法和多速度计测量的拉格朗日分析方法的计算精度,结果显示本文方法计算精度较高,是现有的拉格朗日分析方法在应用中的有效改进。     

A new method for the construction of a Lagrangian

In this paper, the necessary condition for the existence of a Lagrangian for the ordered direct analytic representation of a system of second-order ordinary differential equations on a connected domain is given. Under that condition, a new method for the construction of the Lagrangian is proposed. The domain of definition of the constructed Lagrangian might be diminished. Supported by China Doctoral Program Foundation of Institution of Higher Education and National Natural Science Foundation of China     

Kronecker product and a new matrix form of Lagrangian equations with multipliers for constrained multibody systems

The automatic derivation of motion equations is an important problem of multibody system dynamics. Firstly, an overview of the matrix calculus related to Kronecker product of two matrices is presented. A new matrix form of Lagrangian equations with multipliers for constrained multibody systems is then developed to demonstrate the usefulness of Kronecker product of two matrices in the study of dynamics of multibody systems. Finally, the equations of motion of mechanisms are derived using the proposed matrix form of Lagrangian equations as application examples.