参数方程

By representing the uncertain parameters as interval numbers, the interval dynamic characteristic equations and the dynamic governed equations of the structure are built by means of the interval finite element method.

基于区间模型的结构动力分析将结构中的不确定性参数用区间数来表示，建立了系统的区间动力特征方程和动力控制方程。

It was found that sulfuric acid, 2-naphthalenesulphonic acid and sulfurous acid could be effectively separated by competitive exchange adsorption in views of action force difference of the components with the resin. The exchange adsorption dynamic diffusion parameters were calculated with diffusion equation for solids and liquid films, and the rate-determining step was determined. The model of breakthrough curve for the resin bed was suggested, and applied to simulate the breakthrough process for each component.

通过单组分、双组分和多组分平衡数据的测定，发现对于硫酸-萘磺酸-亚硫酸混合体系，可以利用不同组分与树脂作用能的不同，通过竞争交换吸附实现分离；以固相扩散方程和液膜扩散方程对交换吸附动力学参数进行了估算，确定了交换吸附过程的控制步骤；建立了床层穿透曲线模型，并对各组分穿透过程进行了模拟。

To overcome the difficulties and the draw backs in modeling dynamic systems by traditional methods, a hybrid evolutionary modeling algorithm was proposed to model the Dynamic system with a system of ordinary differential equations whose main idea was to embed string coded idea and evolution algorithm optimize system.

针对传统方法解决动态系统微分方程建模问题所遇到的困难和存在的不足，设计将方程进行串结构编码并用进化方法进行演化建模的算法，以串形结构表示结构，用进化算法优化结构和参数，成功地实现了动态系统的常微分方程组建模过程的自动化。

Lumped parameter system; system with concentrated parameters

系统变量和参数与空间位置无关，系统方程常为常微分方程。

On the base of other researcher, the *** from the basic equations of stable current field to derived the expressions of boundary problems under 3-D condition. Without considering the EM effect and using the generalized variation principle, we can get the corresponding variation equation. Thronging subdivide the 3-D model, interpolation, analysis, and general synthesis with the triangular prism element, we can carry out the simulation on frequency-domain IP\'s parameters under level and undulate topography.

在前人工作的基础上，在忽略电磁效应的情况下，从稳定电流场的基本方程出发，推导了三维区域满足的边值题目，用广义变分原理得到相应的变分题目，通过用三棱柱单元对大地模型进行剖分、插值、总体集成，最后解方程，得到每个节点上的复电位值，最后实现了水平和起伏地形等条件下的激电参数的数值模拟。2。

The distribution of gear's contact stress, root stress, and contact engagement line in the engagement situation of gear pairs, were obtained on the base of explicit integration method. 3. Adopting the method of system matrix, the torsional vibration differential equation of general shafting was gained. The simple harmonic forms of excitation torque under the normal combustion or piston flameout of in-line engine and v-type engine were analysed. The decoupled algorithm of free vibration and forced vibration and the solution to the vibration damper's energy of resistance and the off-resonance calculation were studied. The sensitivity formulations of the natural frequency and vibration mode to physical parameters of system were derived by solving the eigenvalue problem. These sensitivity formulations provided the theoretical base for the dynamic modification of structure.

运用系统矩阵法建立了轴系的扭振微分方程，并对直列和V型发动机在正常发火和气缸熄火工况下的激振力矩进行了详细的简谐分析；基于精确方法推导了自由振动和强迫振动的解耦算法，给出了能量法计算中的减振器阻尼功求解和非共振计算方法；并研究了曲轴系扭振非线性分析中的变惯量问题，得到了单缸转动惯量的精确求解公式以及变惯量和固有频率的关系式；最后，从特征方程和振型正交性出发，推导了固有频率和振型对轴系转动惯量和刚度等物理参数的灵敏度，为扭振系统的结构动力学修改提供了理论基础。

It is proposed that the zero-point vibration term should be deleted in a thermal UEOS,and the parameters can not be directly taken as experimental data at a reference temperature,VR,BR,B′R and γGR,but their values at absolute zero temperature,V0,B0,B′0 and γG0.An approach is proposed to solve V0,B0,B′0 and γG0 from VR,BR,B′R and γGR.The approaches are applied to three typical universal EOSs,including the Baonza, mMNH and Vinet EOSs.

指出考虑热效应的通用状态方程中不应该包含零点振动项，方程参数不应该直接取为参考温度下的实验值VR、BR、B′R和γGR，而应该取为零温下的数值V0、B0、B′0和γG0；提出了一种从VR、BR、B′R和γGR求解V0、B0、B′0和γG0的方法。

If the dust cleaning efficiency is known, the geometric parameters of the cleaning system, pulse-jet pressure, time and filtration area of a plenum box (or the diameter, length and numbers of the fiber) will be determined in the pulse-jet baghouse.

若预先确定要求达到的粉尘剥离率，可以通过清灰气流速度方程和剥离力方程确定脉冲清灰系统的几何参数、脉冲喷吹压力、脉冲喷吹时间和分室内的过滤面积（或滤袋直径、滤袋长度和滤袋数量等）。

Considering pencil of matrices with centrosymmetric could not satisfy characteristic equations in practice, it was necessary to study the centrosymmetric solution of the matrix equation least square problems, and to give pencil of matrices with centrosymmetric of the least squares problems in model updating.

对线性结构的有限元动力模型修正问题，通过灵敏度分析，确定要修正的参数，由正交性条件和特征方程得到相应的修正量方程。

Synthesis of cyclohexyl acetate with rare earth composite solid superacid catalyst of SO2-4/TiO2/Ce4+was investigated.

研究了以稀土复合固体超强酸SO42-/TiO2/Ce4+为催化剂合成乙酸环己酯的反应，在反应温度分别为100℃、110℃、120℃下，测出酯化反应的动力学参数，建立了动力学方程，并与无催化剂作用下合成乙酸环己酯反应的活化能及动力学方程进行了比较。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。