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First, the backward Kolmogorov equation for the conditional reliability function and the Pontryagin equation for mean first-passage time and then- associated boundary and initial conditions are derived based on the stochastic averaging methods for quasi non-integrable, quasi integrable and quasi partially integ...

首先利用拟不可积、拟可积非共振及拟部分可积非共振Hamilton系统的随机平均法分别给出了研究该系统首次穿越问题的提法,包括计算条件可靠性函数的后向Kolmogorov方程及计算平均首次穿越时间的Pontryagin方程及其边值条件。

This language can be extended when components are well designed. By the introduction of a data type conversion function in the edge design and can-connect function in input terminal, the extended data flow language successfully solved the data conversion between different data types. It is a difficult problem in data flow language to realize conditional jump and recursion, however, by using the mechanism of active condition, this dissertation solves the problem well.

相比其它现有的数据流语言,扩展数据流语言具有以下特点:元件设计中定义了一种可激活函数,不同类型的节点允许定义各自的可激活条件,通过合理设计虚拟仪器元件,可以扩展语言的功能;在边的定义中引入类型转换函数,在输入端的设计中引入可连接函数,从而解决了不同数据类型之间数据传递的问题;在数据流语言中实现条件分支与循环通常是具有挑战性的一个问题,本文采用可激活函数的机制给出了一种解决方法。

Two problems were solved in numerical calculation, one was that a term of 1/r in Maxwell was divergence in cylindrical center where r=0, another was that the value of optical field at cylindrical center was difficult to decided when the cylindrical center set as a boundary condition in Maxwell equation, So the values of optical field need just calculate from cylindrical center to cylindrical boundary, comparing from cylindrical boundary to cylindrical boundary, near upon half CPU time and RAM saved.

计算中解决了在圆柱中心线上Maxwell方程存在发散项1/r以及用圆柱中心线作为边界条件时,中心线上光场值难确定的问题,因而光场只需从圆柱中心计算到圆柱边界,和以圆柱的两条边做为边界条件比较,节省了将近一半的计算时间和计算机存储空间。

The M Q algorithm has been applied to the second order elliptic problems with the Dirichlet boundary conditions,and the so called R condition is involved in the convergence theorem and the optimal relaxation parameter.

M-Q算法所考虑的是二阶椭圆型Dirichlet边值问题,此时有所谓的R条件成立,算法的收敛定理以及松弛因子的选取都需要该条件。

In the analysis, firstly, the flux boundary condition is used to simulate the frictional heat resource between wheel and rail. The non-steady heat transfer between the contacting surfaces of the wheel/rail, heat-convection and radiation between the wheel/rail and the ambient were all taken into consideration. Therefore, a heat coupling model of the wheel/rail in rolling/sliding is put forward to calculate the frictional temperature rise in the wheel and rail. Secondly, after the temperature distribution of wheel/rail, due to friction, is calculated, substitute the thermal load with equivalent fictitious body force and boundary distributed force loaded on the nodes of the corresponding elements. The wheel-load is applied to the center of the wheel.

首先,用热流边界条件模拟轮轨接触界面的摩擦热源,考虑轮轨间的非稳态热传导、轮轨自由表面与环境的热对流、热辐射的影响,建立轮轨滚动接触热耦合有限元计算模型,分析计算轮轨滚、滑工况下的摩擦温升;其次,以求得的轮轨温度场结果作为求解轮轨应力场的已知条件,轮载以集中力形式直接加载于轮心处,将摩擦温升引起的热载荷等效为假想体力和热边界面力,施加于相应的单元节点上,建立了轮轨热—机械载荷耦合作用的热弹性平面应力模型,分析热—机械载荷作用下的轮轨应力场。

Some sufficient conditions for the forced oscillation of solutions of the equations are obtained using the Robin eigenfunction and the impulsive delay differential inequalities.

考虑一类具强迫项的满足Robin边值条件的脉冲时滞抛物型方程,利用Robin特征函数和脉冲时滞微分不等式获得了这类方程解强迫振动的若干充分条件。

A new method relying on the Stroh formulism and the theory of the surface impedance tensor was developed to investigate the dynamic instability of interfacial slip waves.The concept of the surface impedance tensor was extended to the case where the wave speed is of a complex value,and the boundary conditions at the frictionally contacting interface were expressed by the surface impedance tensor.Then the boundary value problem was transformed to searching for zeroes of a complex polynomial in the unit circle...

基于Stroh公式和表面阻抗张量理论,提出了研究界面滑移波动态失稳问题的一种新的方法·该方法将表面阻抗张量概念推广到复波速域,并将摩擦接触界面上的边界条件以表面阻抗张量表示·最终将边值问题化归为求解一个复多项式在单位圆内的根·以弹性半空间与刚体平面相对稳态摩擦滑移为例进行了详细的分析,导出了一个4次复特征方程并讨论了方程在单位圆内解的特性,给出了滑移界面波失稳条件的显式解析表达式

According the connection between the solution of linear fractional differential equation and nonlinear fractional differential equation, the expression of the solution of the nonlinear fractional differential equation is formed.

在一定的条件下,建立了非线性分数阶微分方程在边值条件下有解存在。

The primary contents are as follows:(1) Based on the fundamental seepage physical equation, the basic differential equation of saturated-unsaturated seepage in porous mediums has been deduced, in which the pressure head is the fundamental unknown quantity.

总体说来,本文主要从以下几个方面开展了研究:(1)由基本渗流物理方程出发,以压力水头为基本未知量推导多孔介质三维饱和—非饱和渗流微分方程,在此基础上分析了边坡在有降雨入渗条件下渗流的定解条件和计算模型。

The existence of the radially classical solutions with Dirichlet boundary value in unit ball was investigated. Based on perturbation technique, topological method and comparability theorem, the existence of the radially symmetric solutions for the generalized mean curvature equations with proper presupposition was established.

在单位球内考虑广义平均曲率方程组具有Dirichlet边值条件的径向古典解,运用摄动技巧、拓扑方法及比较原理,在一个适当的条件下,证明了广义平均曲率方程组径向对称解的存在性。

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