平衡方程

动力学平衡方程的Euler中点辛差分求解格式

Application of Euler midpoint symplectic integration method for the solution of dynamic equilibrium equations

该函数可展开为Fourier级数，其前三项已足够精确并可由三个平衡方程来确定。

This function can be expanded in Fourier series , whose first 3 terms can be thought of as a satisfactory approximation and determined by 3 equilibrium equations .

平衡方程和运动学关系式是与材料类无关的。

The equations of equilibrium and kinematic relations are independent of the type of material .

复杂系统振动能量平衡方程中SEA参数的测定

The Determination of Vibration Energy Balance SEA System Parameters in a Complex Structure

外层迭代以汽相流率V为切断变量，通过热量平衡方程进行计算。

The external iteration regards flow rate of vapor as discontinuous variable and can be calculated by heat equation .

采用非抛物平衡方程理论研究了直流偏置下p型量子阱负有效质量p+pp+二极管电流的时空特性。

By using the nonparabolic balance equation theory we have theoretically studied the current spatio temporal characteristics of p type quantum well negative effective mass ( NEM ) p + pp + diode under dc bias .

另一方面，针对不同的退火阶段，分别从热平衡方程进行分析，进而设计了以热平衡方程为核心的前馈模型，结合PID算法有效提高了温度控制的精度。

The other is a feed-forward model , which is deduced according to heat balance of supply and consumption , combined with PID controller used for corresponding annealing stage .

结果得到了含有非局部高阶项的平衡方程和高阶边界条件。这些高阶项就是被PN模型所忽略的项。

Thus the governing equations and boundary conditions with nonlocal high order terms is obtained , which are fail to consider by PN models .

热量平衡方程修正下的Penman公式

Making Corretion for Penman 's Formula on the Basis of the Heat Balance Equation

在此基础上将太湖流域简化成m个线性入流系统和n个出流河道，根据水量平衡方程、水力学方法和水文学原理，推导出具有物理基础的太湖水位预报多元回归模型。

Besed on the water-balance equation , hydraulic methods and hydrologic theory , a physics-based multi-regression model for Taihu Lake stage is framed simplifying Taihu Lake basin into m linear response sub-basins and n drainage channels .

依据生物流化床内的质量平衡方程，建立了流化床内腐殖酸（HA）生物降解的动力学模型；

Based on the mass-balance equation in the biological fluidized bed ( BFB ), a biodegradation kinetic model of humic acid ( HA ) in the BFB is developed .

通过非实时类业务和实时类业务的分析，在考虑业务群体的Logistic变化规律的基础上，以总体QoS效果为追求目标，推导出竞争平衡方程。

Based on the analyse of real-time admission and unreal-time admission , and admission 's logistic changing rule it deduces a competing balance equation which aimed to pursue the QoS feature of the whole system .

对于应力场，在Euler坐标系中，求解的问题是静定问题，即可以用屈服条件和平衡方程求解球形孔洞的膨胀问题。

It is the statically indeterminate problem for the stress fields in the Euler coordinate system , which can be solved by using the yield functions and the equilibrium equations .

其中形函数的确定、单跨平衡方程的求解以及多跨FGM板的传递都采用了状态空间法，提高了计算效率。

To improve the efficiency of calculations , the state space method is adopted to derive the shape function and solve the equations governing the FGM plate deformation .

因此，与传统MEN综合问题不同，必须将流股进出单元的流率作为变量，同时需要考虑组分间的相互作用以及温度/压力对传质相平衡方程的影响。

Different from most ordinary MEN , the inlet and outlet flowrates of streams must be taken as variables . Besides the interactions of the components in the system and effects of operating temperature / pressure in each unit on the phase equilibrium equations are also considered .

根据热爆炸理论的热平衡方程，在Thomas边界条件下，数值计算了热爆炸临界体系温度、临界环境温度和临界装药尺寸的关系。

Using the thermal balance function with the Thomas boundary condition , the relations of critical temperature and explosive cylinder diameter for thermal explosion in the cooling process of melt cast explosives have been predicted numerically .

利用Green应变张量在随动坐标系中建立一维桁架单元的精确全量平衡方程，然后将其转化成固定空间坐标系中的全量平衡方程，并由此导出精确的切线刚度。

In the paper , the accurate total equilibrium equation of one dimensional lattice element in the coordinate has been given by using Green Strain Tensor , then it is changed into one in the fixed three dimensional coordinate , so we can get the accurate tangent stiffness matrix .

采用Lagrange轴向应变的表达式建立了索元轴向应力、应变的的直接关系，并基于Lagrange插值描述的位移模式和虚功原理得到了索元的非线性平衡方程和切线刚度矩阵。

By means of the virtual displacement principle and the Lagrange expression of the axial strain , the nonlinear finite element formulation has been derived , and this model has been used to compute cable structures .

通过分析板块中面的平衡方程及位移协调方程，建立了由板位移和Airy应力函数表示的两个微分控制方程。

Based on the force equilibrium and geometric compatibility equation in the middle plane , two governing differential equations expressed by the deflection and Airy stress function are obtained .

作者提出了新的能量平衡方程，根据文献[6]K～ε模型计算成果，计算并绘制了新的wb、wi、ws沿垂线分布的曲线。

A new equation of energy balance has been developed in this paper . The new distributive curves of w_b , w_s , w_t along vertical lines are calculated and drawn according to the calculating results of K - ε model [ 6 ] .

在Harris简化方法的基础上，采用弹性流体动力润滑理论，改进其力学模型，提出更为合理的假设，简化了平衡方程组的求解。

Based on the method of Harris , the method of this paper takes the elasto-hydrodynamics lubrication theory into account , modifies the model of loading , provides more reasonable assumptions , and simplifies the equilibrium equations .

本文在分析了胞内EMP途径、HMP途径、TCA循环和生物大分子合成途径之后，基于化学计量平衡方程，构建了B.pumilusSY-6菌株生物合成D-核糖的代谢网络。

Based on BMP , HMP , TCA and other anabolic routes of biological molecules and stoichiometric balance equations , metabolic networks of B. pumilus SY-6 were constructed .

由于此式可以包容各种特殊界面的力平衡方程，例如著名的拉普拉斯（Laplace）公式，因而可被视作毛细体系中界面力平衡的通式。

It is reasonable to believe that this equation can be regarded as the general formular for mechanical equilibrium of interfaces in capillary systems , because into which all the mechanical equilibrium equations in special cases such as the well-known laplace equation are included .

以在空间曲线理论中起重要作用的富列耐塞勒（FrenetSerret）公式为基础，把BHA所受的力及力矩表示为三维非正交坐标系中视分量的形式，建立了力和力矩平衡方程。

Based on the Frenet-Serret formulas which are very important in the vector and tensor analysis theory , the force and moment equilibrium equations are established by the technique of apparent components system .

将Newmarkβ法和NewtonRaphson法相结合应用于风荷载作用下的非线性动力增量平衡方程中，形成大跨度非线性屋盖结构横风向共振分析的时程分析方法。

Authors apply Newmark 's β - method together with Newton Raphson to nonlinear dynamic increment equilibrium equation under wind-loading , and obtain a time domain method which is used for crosswind resonant response study on large-span nonlinear roof structures .

最大相容应力法是通过求解综合的稳定平衡方程而确定失稳应力的，它能精细地给出裂纹撕裂扩展的全过程，比JR曲线稳定性分析方法更为简洁精确。

The maximum admissible stress method by solving the comprehensive stability equilibrium equation determines the instability stress , it can give all process of crack ductile tearing and is more explicit and more accurate than J_R curve stability analysis .

以国内广泛使用的传递系数法的平衡方程为基础，运用国际结构安全度联合委员会（JCSS）推荐的验算点法建立土坡稳定性概率分析模型。

Based balance equation of transfer coefficient method that widely used in domestic , applying checking point method recommended by JCSS , establish probability analysis for stability of slope model .

通过完全转换处理边界条件，利用位移协调条件集成整个波纹夹层结构的非线性平衡方程，运用Newton-Raphson迭代法求解非线性平衡方程。

Here , it uses the full transformation method to enforce the essential boundary conditions and the nonlinear equilibrium equation for the entire corrugated sandwich plate is established by the displacement coordination conditions , and employs the Newton-raphson method to solve nonlinear equations .

从磁势平衡方程、绕组接线方程和电压传递方程出发分析Scott接线平衡变压器的运行特性，阐明为使Scott接线变压器三相-两相平衡变换性能达到理想状态应满足的设计条件；

On the basis of the magnetomotive force balance equations , winding connection equation and voltage transfer equations , the operational characteristics of the Scott connected balance transformer are analyzed . The design requirements for ideal balance transformation performance between the three-phase and two-phase for a Scott transformer are clarified .

采用一维固结理论分析地基中有效应力和变形随时间的增长，结合桩土界面剪切模型，建立了桩和土之间的荷载传递平衡方程，并得到了问题的DQM解。

One dimensional consolidation theory is used to analyze the increasement of effective stress and deformation in foundation soils . With the use of DQM , the development of negative skin friction of single piles in consolidating soils is solved .