导出方程

Then, we derive the incremental variational equation for nonlinear large deformation analysis by using energy principle of power form.

三、利用功率形式的能量原理，导出了非线性大变形有限元分析新的增量变分方程。

The characteristics equation for the distance is derived by using the variational formulation for a generalized resonator.

应用谐振腔的变分公式，导出了确定短路面之间距离的特征方程。

In order to analyze the stiffness of 3D 4 directional braided composites, the homogenization theory based on the multi-scale perturbation theory was used as the basic theory. The virtual displacement principle was used to educe the homogenization formulation of effective elastic modulus and the schemes to solve the problem using finite element method. The effective elastic modulus of 3D braided composites were predicted by this method and the calculation results agree quite well with experiment results.

在对三维编织复合材料刚度性能的分析过程中，以基于小参数渐近展开和多尺度摄动方法的均匀化理论为理论基础，用虚位移原理导出了等效弹性模量的均匀化列式及其有限元求解方程，从而通过细观和宏观有限元的数值分析方法预测了三维四向编织复合材料的等效弹性模量，预测结果与实验结果较为吻合。

The discrete equation was deduced by control volume integral method, and realized by numerical method.

用控制容积积分法导出了离散方程，并用数值方法进行了求解。

Based on the principle of mass-changing mechanics,this paper analyzes the process of water wheel raising water,educes its movement differential equation s in its three stages from starting to stable running,obtains solutions of the equations,and calculates on the angular velocity of the waterwheel in constant motion.

应用变质量力学原理对农用水车在提水过程中所经历的三个不同阶段，即在运动过程中水车的受力和运动量都在发生变化的情况下，对其动力学问题进行了较为深入的分析，导出了水车由起动至稳定运转三个阶级的运动微分方程，并得到了它们的解答，进而求得水车在趋于定常运动时的转动角速度。

Weak formulation of mixed state equations including boundary conditions are presented in a cylindrical coordinate system by introducing Hellinger_Reissner variational principle.

从Hellinger_Reissner变分原理出发，在柱坐标系中，导出圆柱壳的弱形式混合状态方程和边界条件，联用状态空间法给出叠层柱壳的解析解，此法使得求解该类问题的形式得以扩大和统一。

In the present thesis, the solution of axisymmetrical space full plastic problems of ideal elastoplastic material is proposed from the fundamental equations, the possibility of using Tresca's yielding condition and the influence of longitudinal stress are discussed therefore the analytic formulae of plastic strain are also derived.

本文从轴对称空间问题的基本方程出发，研究了理想弹塑性材料塑性加载时的一般解法，讨论了采用各种形式Tresca屈服条件的可能性及轴向应力对于它的影响，并导出了塑性应变的解析式。

Its application to SPC circuits gives the same results as those obtained by the state-space average approach, which is proposed by Middlebrook and Colk, but our approach is also in the form of CMNA.

在分析方面，通过应用加权平均和小信号近似手段，我们建立了KL平均法，导出了开关变换器电路的S域分析的紧凑型改进节点方程，为人们应用拉普拉斯变换这一得心应手的工具来研究这类周期性开关电路提供了又一种方法。

The expression of the abnormal image motion was deduced from the collinear equation.

利用共线方程导出了这一非正常像移量的表达式。

Establish large deformation model of pipes under geologic disasters such as collapse and gulch; simulate and validate these formulas, and make certain of pipe' lapse length, and put forward some defendable suggestions.

基于弹性地基理论和弹性梁挠曲理论建立了埋管在坍塌/冲沟地质灾害作用下的变形微分方程，导出了大变形分析模型；以西气东输工程用管为例，由计算机仿真验证了公式适用性，确定了管道失效长度并提出了预防建议。

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。