查询词典 derived equation

In this thesis, sound wave path equation is derived from Fermat's theorem and the calculus of variations, and then the temperature field is reconstructed by the combination least-square method and the modified sound wave path.

本文通过求解由费马定理和变积分原理确定的声波路径方程，结合最小二乘法实现了声波路径的修正。

However,authors still do not find the relevant references on convergence and symmetric problems of the semi-analytical solution.Based on the semi-analytical solution for Hamilton canonical equation theory,the formulations of the clamp and simply supported and symmetric boundary conditions on the Hamiltonian element are derived by the variational principle.Several numerical examples show that with increase of meshes,the convergence rate of the semi-analytical solution is faster than the convergent rate of traditional finite element method based on displacement.

①在厚度上没有任何位移和应力模式的假设，由于传递矩阵方法的引入，从理论上讲，不受板壳厚度或层合板壳层数的限制；②采用弹性力学的Hamilton正则方程半解析法，可以克服边界的局部化效应[8]；③由于在平面内或圆柱壳的曲面内采用了有限元法，所以一般的板壳问题不受结构侧面边界条件的限制，在复杂工程板壳问题上具有广泛的应用领域。

Firstly, the modified H-R variational principle for elastic material was briefly presented, then the quadratic interpolation functions were used to express the out-plane stresses and displacements variables, consequently the formulation of 8-node isoparametric element for Hamilton canonical equation was derived in detail.

首先简要地介绍了弹性材料修正后的H-R变分原理，然后用二次插值函数表示平面外应力和位移变量，并详细地推导了Hamilton正则方程的八节点等参元列式。

In the first part of the paper, the explicit form of difference equation and periodic boundary condition is derived in Cartesian coordinate system.

由于光子晶体也属于一种周期结构，在分析其带隙结构时，可以借鉴前面的算法。

Based on the Cell model and the theory of mesomechanics,the evolution equation of void volume was derived.

本文基于细观塑性理论，采用体胞模型和里兹法，推导出了大锻件内部空洞的体积演化方程，通过分析空洞闭合的力学条件，建立了大锻件内部空洞的热锻闭合准则。

This method is to compare the general motion of a rigid body with the force systems in space and the central axis equation of the force systems in space has been derived beforehand.

本文在此基础上，继续了这一工作，具体地给出了螺旋轴上每一点的矢径及坐标所满足的矢量方程和标量方程，即中心轴方程。

The pro cess o f adsorption is fractal-like, and mean while the kinetics equation is derived.

同时 得出了砂岩从溶液中吸附Pb2＋的动力学方程，吸附过程是类分形的。

With the help of the linearization theory and variable exchanges , the characteristic equation is derived about the steady state motion of the system .

对于系统的铅垂稳态运动，采用线性化理论和适当的变量代换导出了系。。。

An exact solution is derived for the equation of motion of a charged particle driven by an electrostatic wave.

1引言中作一维运动，E0为静电波电场的幅值。

Re. With this equation we derived the formula of the inherent frequency of water in open and closed pipes when considering the pipe as a deformable material or as a rigid wall.

推导过程中分别考虑了管壁变形和刚性壁两种情况，并分析了影响水体固有频率的主要因素。

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。