连续方程

The effects of mass ratio on dynamic Characteristics were investigated by solving the dynamic equation of the model. The approximate formula of seismic response were deduced based on Energy Conservation Law.

通过求解简化模型的动力方程，分析了质量比对连续梁桥纵桥向的动力特性的影响，并用能量法推导了低阶振型地震反应的近似公式。

By virtue of method of continuum approximate limit, we obtained the solitons of the vibration of lattice in one-dimensional harmonic and inharmonic chains of polarized molecule, under the conditions considering and inconsidering the interaction of exciton with phonon, through solving moving equations of exciton and phonon.

运用连续极限近似方法，通过求解声子和激子的运动方程，得到了在不考虑激子与声子的相互作用和考虑激子与声子相互作用两种情况下的极性分子简谐链和非简谐链中晶格振动的孤子解，并得出了激子与声子的相互作用的非线性效应类似于晶格三次势的非线性效应，以及相同的非线性效应不论是同时作用还是单独作用都具有相同的非线性效应的结论。

First the associated Hamilton-Jacobi-Bellman equation is given, then its continuously differentiable solution is constructed.

首先给出了最优控制问题对应的Hamilton_Jacobi_Bellman方程，接着构造出了它的连续可微解。

Based on the theories of rheology, Non-Newtonian Fluid Mechanics, petroleum chemistry, crystallography and pipeline technology etc. and sampling Huabei crudes, experimental indexes and programmes are drew out, integrating the oil properties and parameter analysis; in terms of the macro analysis of continuum mechanics, substantial experiments are conducted with HAAKE RS600 rotational rheometer and the rheological equation as well as the viscosity-temperature equation are further developed with tested rhrogramme and viscosity-temperature curve, respectively. Beased on the researches on thixotropic mechanism and thixotropy fluid property, hysteresis loop curve, structure failure and viscosity build-up curve as well as shear stress decrement curve for one type oil are first present in this paper. According to the theoretical researches and testing results, a novel thixotropy equation with τ=τ_∞e~ pattern, which is of hi-accuracy, few parameter and simplicity, is developed. Considering the influence of various parameters on rheological behaviour, depressant adding condition is optimized and experimental evaluation on BEM-5P is conducted, which further unrip its mechanism on the Huabei crude. A corresponding viable pipe transportion programmel is also recommended.

本文基于原油流变学、非牛顿流体力学、石油化学、结晶学、原油管输工艺学等理论，以华北原油为研究对象，结合原油物性及实验影响因素分析，制定出实验研究的评价指标及实验方案；从连续介质力学宏观分析的角度，利用HAAKE RS600高端旋转流变仪开展了大量的室内实验，并运用微观研究方法，测定了油样的流变曲线和粘温曲线，建立了流变方程和粘温方程；通过对触变性机理和触变性流体特征的研究，首次对华北原油测定出滞回环曲线、结构破坏与恢复粘时曲线、剪切应力裂降过程曲线，并在理论研究和实验结果的基础之上，建立了能定量描述含蜡原油剪切应力裂降过程的新型三参数触变模式τ=τ_∞e~b/(t+c，该模型具有精度高、参数少、实验简便且适用性强的特点；通过对含蜡原油流变性的影响因素理论研究，开展了加剂条件优选及BEM-5P降凝剂室内评价实验，进一步揭示了降凝剂对华北原油作用机理，在此基础之上，提出了华北原油管输的可行性方案。

Based on the theories of rheology, Non-Newtonian Fluid Mechanics, petroleum chemistry, crystallography and pipeline technology etc. and sampling Huabei crudes, experimental indexes and programmes are drew out, integrating the oil properties and parameter analysis; in terms of the macro analysis of continuum mechanics, substantial experiments are conducted with HAAKE RS600 rotational rheometer and the rheological equation as well as the viscosity-temperature equation are further developed with tested rhrogramme and viscosity-temperature curve, respectively. Beased on the researches on thixotropic mechanism and thixotropy fluid property, hysteresis loop curve, structure failure and viscosity build-up curve as well as shear stress decrement curve for one type oil are first present in this paper. According to the theoretical researches and testing results, a novel thixotropy equationwith τ=τ_∞e~ pattern, which is of hi-accuracy, few parameter and simplicity, is developed.Considering the influence of various parameters on rheological behaviour, depressant adding condition is optimized and experimental evaluation on BEM-5P is conducted, which further unrip its mechanism on the Huabei crude. A corresponding viable pipe transportion programmel is also recommended.

本文基于原油流变学、非牛顿流体力学、石油化学、结晶学、原油管输工艺学等理论，以华北原油为研究对象，结合原油物性及实验影响因素分析，制定出实验研究的评价指标及实验方案；从连续介质力学宏观分析的角度，利用HAAKE RS600高端旋转流变仪开展了大量的室内实验，并运用微观研究方法，测定了油样的流变曲线和粘温曲线，建立了流变方程和粘温方程；通过对触变性机理和触变性流体特征的研究，首次对华北原油测定出滞回环曲线、结构破坏与恢复粘时曲线、剪切应力裂降过程曲线，并在理论研究和实验结果的基础之上，建立了能定量描述含蜡原油剪切应力裂降过程的新型三参数触变模式τ=τ_∞e~b/(t+c，该模型具有精度高、参数少、实验简便且适用性强的特点；通过对含蜡原油流变性的影响因素理论研究，开展了加剂条件优选及BEM-5P降凝剂室内评价实验，进一步揭示了降凝剂对华北原油作用机理，在此基础之上，提出了华北原油管输的可行性方案。

Seventhly, we sets up the reaction-diffusion equations about population-resource relationships; Further more, we analyzes these typical conceptual models making use of differential equation theory. The conclusion shows that human with natural environment co-exist conditions when human-environment is conflicting, mutual, predacious, harmonious. The relation both human and environment has to harmonious each other for the population-resource benefit maximum.

在连续时间条件的假设下给出了关于人口与农业生态资源的具有代表性的几种反应扩散方程形式；根据微分方程定性理论，对所建立的几种模型进行分析研究，得出当人类与生态环境处于冲突、互助、掠夺与和谐状态时，双方能长久共存的稳定条件，并得出只有在人口与资源和谐共处的情况下，才能使环境承载力及人类总数达到最大化的结论。

In the first place, the normal flexible body dynamics modelling method of continous system is built based on hamilton principle. And then taking the flexible beam tunning in the horizontal plan for example, in the assumption of Euler-Bernoulli beam,the identical linearilized vibration differential equation is deduced according to geometry constraint conditions .

首先基于Hamilton原理建立起一般柔性体连续系统的动力学建模方法，进而以水平面内作大范围回转运动的柔性梁为例，在Eu1er-Bemoulli梁模型的假设前提下，根据轴向不可伸长的柔性梁的几何约束条件，推导出作大范围刚体运动的柔性梁连续系统的一致线性化振动微分方程。

In the second part of of this thesis, we firstly derivate the operation condition of intracavity SHG of dualwavelength laser from the rate equation, and then numerically calculate the relationship between the laser operation parpmeters and the pumping powers. And then we discuss two possible ways to get balancing outputs of the harmonic waves of the two wavelengths. By comparing the two ways, we find that the method by increasing the geometrical factor of 1079. 5nm SHG has the higher efficiency than the method by adding the additional loss of 1079. 5nm basic wave. Besides, the first method is easier to realize in experiment than the second method.

本论文第二部分从速率方程出发，通过求解速率方程的稳态解得到了Nd：YAP腔内倍频双波长激光的连续运转条件，数值计算得到了随泵浦功率变化的激光运转情况；计算、分析了通过增加主波长的倍频耦合几何因子和增加主波长的腔内损耗两种方法获得均衡的双波长倍频输出的运转情况，通过二者的比较，发现增加倍频耦合几何因子的方法比增加损耗的方法效率更高，而且在实验上更易于实现。

The dynamic equations of beam, plate and lump-mass oscillators are presented according to the basic structural vibration theory.

结合连续系统的振动理论，得到连续梁、板和离散弹簧振子的运动方程，而混合系统的阻尼特性采用非比例阻尼模型。

The conclusions are accomplished that the differential equations of continuum damage mechanics dependent on the former are ill-posed but the latter are well-posed when the defects in materials grow with loading.

结果表明，当损伤发展时，与Kachanov损伤本构模型相关的连续介质损伤力学的基本方程是不适定的；而与应变梯度损伤本构模型相关的，则无论损伤是否发展，其基本方程始终是适定的。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。