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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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• 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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• 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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• 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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• 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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• 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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• The analytic solution is important to predict the reliability of micro inertial sensors worked in shock environment.

冲击响应解析预测惯性传感器冲击环境下可靠性具有重要作用

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• The analytic solution for flowing field and the numerical solution for power law flow field of Newtonian and Bingham fluids flowing in eccentric annulus ale proposed.

提出了牛顿流体宾汉流体偏心环空中流动解析流体数值

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• Present the computer program for finding an analytic solution of well-posed barotropic primitive equations' general initial value problem.

原始方程组广义初值问题解析计算程序

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• According to the Maxwell equations, an analytic solution related with coaxial diode current, applied voltage and geometry parameters is obtained by introducing certain approximation.

描述电子束运动的基本方程出发引入一定条件下的近似获得了实用同轴二极管电流电压几何参数关系近似解析

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• The space curvature of neutron density of this solution is changed according to the changes of reactor power, so it is more precise than the analytic solution of point reactor model.

中子密度空间分布曲率功率变化因此模型方程解析精确

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• The hydrogeological conditions are complicated there. An approximate analytic solution has been derived to estimate the future groundwater head on the first kind boundaries.

当地水文地质条件复杂，提出一类边界条件预计未来水头近似解析

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• The analytic solution and numerical results have been compared through practical examples.

通过实际算例解析数值解结果进行比较

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• A novel method based on potential function theory is given in this paper to formulate the analytic solution of slot antenna on electrical sphere coated with dielectric layer.

给出函数方法推导介质覆盖导电缝隙天线辐射场严格过程。

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• In this paper, a formula of approximate analytic solution of subharmonic resonant overvoltage is established according to the theory of region analysis.

本文区域分析理论为工具，提出谐波共振过电压一个近似解析公式

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• In this paper, a formula of approximate analytic solution of subharmonic resonant overvoltage is established according to the theory of region analysis.

本文区域分析理论为工具，提出谐波共振过电压一个近似解析公式

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