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• Traditional knowledge about the rule of backwater length variation is reasonable, which is a special case of analytic solution to backwater length.

有关回水长度变化规律传统认识其合理性回水长度解析理论一种特殊情况

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• The recently proposed "analytic approximation solution" is proved to be a good approximation to the corresponding analytic solution under some conditions.

精确出发，推导出最近文献中提出的“解析近似”，并指出该近似的适用条件

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• This method is helpful for us to find the way of the analytic solution of scalar field equation.

他们解析解法我们寻求标量方程解析有着重要启发意义。

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• It is efficient to compute long-period and secular perturbations by numerical integration, but the classical analytic solution may be used to calculate the short-period perturbations.

数值积分计算周期长期动，经典分析表达式计算周期动，这有效的。

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• Comparison of numeric results with analytic solution showed the effectiveness of the method.

数值结果解析进行了对比表明方法有效性

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• The complex variable method analytic solution of stress is given for the plane elastic stress problem of surrounding rock of shallow circular tunnel under ground load.

采用函数解法，研究地面荷载作用浅埋圆形隧道围岩平面弹性应力问题

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• This static cable element stiffness matrix has a high accuracy since it comes from the analytic solution of a parabolic cable.

刚度矩阵来自抛物线索的解析具有很高精度，明显比悬链线索单元简化了许多

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• The result shows seven-freedom unit finite element method has high precision to analyse simple beam of rectangular section, it can replace complex analytic solution.

说明采用七自由度单元有限元进行矩形截面简支梁弯翘分析很高精度可以代替繁琐解析

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• In addition, an equation for calculation of maximum liquefaction depth is brought up according to analytic solution of saturated seabed under waves.

另外论文还根据波浪作用饱和海床响应解析提出液化最大深度计算公式

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• It is very difficult to get analytic solution except some very specific cases for the model owing to nonlinear partial differential equation.

由于非饱和流动数学模型归结非线性微分方程除了一些特殊情况外，很难得到解析

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• This paper introduces a finite analytic method of solving groundwater flow. This method combines analytic solution with numerical method, and can rise computational accuracy and improve the stability.

本文介绍了一种求解地下水流问题有限分析法方法解析结合数值方法中，从而提高计算精度改善稳定性

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• Based on the analysis of CRCP differential cell, a general analytic solution considering nonlinear bond-slip relation between steel bar and concrete and that between concrete and base is deducted.

通过CRCP微分单元分析推导考虑钢筋混凝土混凝土地基非线性粘结-滑移关系温度应力通用解析

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• The transition matrix analytic solution of perturbation equations which was widely used in inertial guidance engineering are derived.

本文导出了惯性制导工程广泛应用摄动方程转移矩阵解析

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• According to the basic principle of hydrodynamics and the seepage mechanics with pores, the experimental model is established and the analytic solution about the topping up time is deduced.

根据流体力学多孔介质渗流力学基本原理建立实验模型结合一些数学方法，推导煤层注水时间解析

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• With requirements of designing an adiabatic capillary tube in engineering, an approximate analytic solution to the tube length derived from the approximate integral model is developed.

为适应毛细管工程设计要求绝热毛细管积分近似模型基础上，提出壅塞流动下绝热毛细管长度近似解析

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• This paper gives an analytic solution of non-circle opening based on linear viscoelastic theories and theory of function of a complex variable.

本文根据弹性体理论函数理论给出了非圆形巷道(室等)弹性解析

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• Therefore, this paper introduces a linearized function in light of the flow conditions of natural gas and obtains an analytic solution through solving nonlinear equations.

对此本文根据天然气流动情况引入线性化函数通过求解非线性方程得到解析

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• So we use an analytic solution algorithm to solve the three-temperature energy equation, which makes the calculation much simpler.

所以我们采用一种求解析算法能量方程求解使得计算大大减少。

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• Then, the analytic solution of the geometrical nonlinear vibration system and the frequency-response properties of the actuator were analyzed by using multi-scale method.

应用多尺度得到了超磁致伸缩换能器几何非线性振动系统响应解析频响特性表达式。

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• Under some simplify conditions, an analytic solution and a relationship among main parameters have been obtained for the influence of fluid on the dynamic plastic response of the cylindrical shell.

某些简化假定前提下导出流体园柱塑性动力反应影响解析主要参数之间关系

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• By the parametric potential energy variational principle, the analytic solution of expansion problem of granular material pile is obtained.

利用参变量最小势能原理，求出了散体材料扩张问题解析

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• A new algorithm derived from Chebyshev polynomials is presented for the approximate analytic solution of infinite-time linear-quadratic optimal feedback control law for time-delay systems.

给出了切比雪夫多项式方法，求时滞系统无穷时间线性二次型反鐀控制近似解析方法

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• In this paper, the analytic solution of the dynamical equation of the pulsatile flow in a rigid round tube under the low-frequency varying magnetic field is obtained.

本文通过求解灾变磁场作用刚性直脉动运动方程得到了它分析

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• We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.

利用分离变量方法导出混合边界条件下非齐次分数阶扩散-波动方程解析

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• A new analytic solution of the ballistic missiles reentry trajectory is presented by considering some more actual factors on the basis of the existing analytic solution.

现有解析方法基础上，考虑更为贴近实际条件因素，求得新的弹道导弹弹道解析

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• Taking WEC of the river between Wushi Dam and Sanzhou Dam in the upstream as an example, two methods, the capacity definition method and analytic solution were compared.

榕江上游石坝-拦河坝段水环境容量容量定义解析两种方法进行了对比研究

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• As an example, an approximate analytic solution of nonlinear vibration for a plate strip in lateral magnetic field is obtained by the multi-scale method.

作为具体问题，采用多尺度求出了横向磁场条形非线性振动近似解析

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• This paper used the finite element method to compute the temperature field, and combined finite element with analytic solution to develop a calculation of thermal stresses.

本文采用有限元数值分析方法计算多层圆管温度解析有限元结合提出一种求解其热应力计算方法

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• Because of the use of Green - function method to solve local analytic solution, its accuracy is increased.

由于使用格林函数局部解析提高了计算精度

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• Because of the use of Green - function method to solve local analytic solution, its accuracy is increased.

由于使用格林函数局部解析提高了计算精度

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