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The mathematics model of oscillation driven by hydraulic pressure is founded using bond graph theory and its system state equation is detruded.

利用仿真软件MATLAB进行了仿真研究,分析了影响系统动态特性的诸多因素,给出了改进系统性能的措施。

With these identities, fermion mass and bound state spectra are obtained, and in terms of gap equation phase structure is discussed.

这种方法是从对称性的角度出发,通过正规顶角之间的Ward-Takhashi恒等式来研究费米子质量的动力学产生和束缚态的质量谱,利用能隙方程来讨论体系各种可能的相结构。

For these reasons, aiming at the low temperature separate method of light hydrocarbon recovery, the simple and accurate SRK state equation has been used to calculate the components thermodynamic characters of natural gas. This paper simulates the units process of the light hydrocarbon recovey process such as flow mixer/spilliter, flash, pump, valve, compressor, expander, distillation and heat exchange etc., and give examples to contrast calculation for each unit process.

为此,针对轻烃回收低温分离法工艺,以简单、准确的SRK状态方程为热力学计算基础模型,对轻烃回收工艺中的流股混合器、流股分割器、等温闪蒸器、绝热闪蒸器、泵、节流阀、压缩机、膨胀机、精馏过程及换热器等单元过程进行了模拟,并对各单元过程进行了实例对比计算。

Dynamical linear model includes state space model and system equation on the basis of stochastic chain ladder.

为了充分挖掘历史数据中隐藏的信息,贝叶斯估计理论被引入到随机模型的参数评估中。

At last, making use of load stress chart of old steel bridge, and looking facture criterion as ultimate state equation to carry through reliability analysis. Adopting Probabilistic fracture mechanics to estimate remaining fatigue life of old steel bridge under given reliability.

最后结合我国老钢桥的载荷应力谱,以断裂判据为极限状态方程进行可靠性分析,并利用概率断裂力学方法对给定可靠度下老钢桥的剩余疲劳寿命进行预测。

The following results are got:(1) the analytical equation between the overburden pressure, the pore fluid pressure and the matrix stress is established;(2) the nonlinear relation between the porosity of saturated soils and the pore fluid pressure are obtained, which relates to the initial state and the initial pore pressure of saturated soils;(3) Based on the new principle, the rock shear strength theory and hydraulic fracturing pressure formulation are reacquired, which are much more reasonable than the traditional ones.

第二章讲述的是该有效应力原理的一些工程应用研究,通过该研究,我们取得如下成果:(1)建立了上覆岩层压力、孔隙流体压力、基岩应力之间的解析关系式;(2)推导出了饱和土体孔隙度与孔隙水压之间的非线性关系式,该关系式与多孔介质的初始状态及初始孔隙水压有关;(3)建立了基于多孔介质的岩石剪切强度理论和岩石破裂压力计算公式。

The following results are got:(1) the analytical equation between the overburden pressure, the pore fluid pressure and the matrix stress is established;(2) the nonlinear relation between the porosity of saturated soils and the pore fluid pressure are obtained, which relates to the initial state and the initial pore pressure of saturated soils;(3) Based on the new principle, the rock shear strength theory and hydraulic fracturing pressure formulation are reacquired, which are much more reasonable than the traditional ones.

笔者在第一章中提出,在建立多孔介质的有效应力原理时,必须考虑其细观结构,并解析推导出了基于多孔介质之上的饱和多孔介质有效应力原理。该原理包含了孔隙度φ这一表征多孔介质结构性的重要参数;并体现了孔隙流体与固体骨架对总应力的分担作用,分担比例为φ:(1-φ)。

Main contents are as follows :In chapter one, we give a survey to the development and current state of the oscillation of differential equations and difference equations. We also introduce some preliminary material , including some basic concepts of the oscillation theory and some important fixed point theorems.In chapter two, we investigate the oscillation of second order self-conjugate differential equation with impulses.

本文由五章组成,主要内容如下:第一章概述了微分方程及差分方程的应用背景和国内、外研究状况,这一章也包括一些预备知识,如有关微分方程、差分方程理论的基本概念和重要的不动点定理。

First,the 3-d dynamic equations in cylindrical coordinate for transversely isotropic saturated soil were transformed into a group of governing differential equations with 1-order by the technique of Fourier expanding with respect to azimuth,and the state equation was established by Hankel integral transform method,furthermore the transfer matrixes within layered media were deriv...

首先,通过方位角的Fourier变换,将圆柱坐标系下横观各向同性饱和土的三维动力方程转化为一阶常微分方程组,基于径向Hankel变换,建立问题的状态方程,求解状态方程后得到传递矩阵;其次,利用传递矩阵,结合层状饱和地基的边界条件、排水条件及层间接触和连续条件,给出了任意简谐激振力作用下层状横观各向同性饱和地基动力响应的通解;然后,按混合边值问题建立层状饱和地基上弹性圆板非轴对称振动的对偶积分方程,并将对偶积分方程化为易于数值计算的第二类Fredholm积分方程,并给出了算例。

We study on the controllability of parabolic systems with a nonlinear term involving the state and the gradient ,the null controllability property of a 1-d parabolic equation involving a fractional power of the Laplace operator ,null controllability of some systems of two parabolic equations with one control force ,and exact controllability of the parabolic system with bilinear control.

我们研究了含有状态和梯度的非线性的项抛物系统的能控性,含有拉普拉斯算子的分数阶的1-d抛物方程的零能控性,带有一个强控制的两个抛物方程的一些系统的零能控性和具有双线性控制抛物系统的精确能控性。

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