级数展开

Furthermore, the problem of coupled piezothermoelastic response of a piezoelectric cylinder of crystal class 6mm is investigated. Analytical solutions for this problem are successfully obtained by using Bessel-Fourier series expansion and Laplace transform. These solutions are helpful for study of the influence of coupling on the distribution of stresses, displacements, electric potential and other quantities as well as the role of inertia term.

研究了热电材料圆柱的瞬态压电热弹性响应问题，应用Bessel-Fourier级数展开和拉氏变换方法成功地求得了该问题的解析解，此解有助于研究瞬态响应问题中耦合效应对应力、位移和电势等物理量分布的影响以及惯性项的作用等问题。

Using Fourier series expansion,Laplace transform and state space technique,the exactand closed form TFM solutions of natural frequency and buckling loads of composite cylindricalshells under arbitrary boundary conditions and external disturbances are obtained.

基于线弹性小变形理论，利用Fourier级数展开、Laplace变换和摄动方法，建立了各向同性材料和复合材料薄壁圆锥壳的静力响应、频率响应、自由振动与屈曲特征值问题的渐近传递函数解。

By using the conformal mapping technique and the Laurent series expansion, a group of equations to predict effective bulk modulus and transverse shear modulus of multiphase fiber composites was obtained.

通过解析函数的保角变换与罗朗级数展开，获得了相应问题的解。根据复合材料平均应力与应变关系，获得了混杂纤维复合材料横向剪切模量和体积模量的预测公式。

Keywords asymptotic waveform evaluation;size dimension;Power/ground planar structure;impedance characteristics;adaptive sectional method;Laurent series expansion;broad-band asymptotic waveform evaluation;multi

渐近波形估计技术；尺寸维；电源/地平面结构；阻抗特性；自适应分段方法；洛朗级数展开；宽带渐近波形估计技术；多维渐近波形估计方法；自适应跳点技术；参数提取；电源完整性分析；参变分析

Considering the complicity and higher predicted water cut in the polymer flooding model developed by Zhou Zhijun,expanding this model by Maclaurin series,a linear relation was obtained between d(Wp-aNp3)/dNp and Np in Cartesian system.

针对周志军等建立的聚合物驱驱替特征模型较为复杂、应用不方便，且后续水驱阶段预测偏差较大的问题，将该模型用麦克劳林级数展开，推导出d(Wp-aNp3)/dNp与Np在直角坐标系下存在线性关系。

The transfer matrix is expanded in Taylor Series near the central frequency.

在中心频率附近将传输矩阵各矩阵元采用泰勒级数展开并取一级近似，得到了缺陷模频率与介质层厚的关系式及品质因子公式。

Using a method of algebraic transformation such as power series expansion, it is found that, three crop water production functions, the Jensen mold, Rao model and Stewart model, are transformable mutually, and their water sensitive indices are approximately equivalent.

通过幂级数展开等代数变换发现，3种作物水分生产函数Jensen模型、Rao模型和Stewart模型可以近似相互转化，其各自水分敏感指数近似等价。

The properties of the general linear multistep method for piecewise smooth dynamics of mechanical systems are analyzed and a picewise smooth vibration model is introduced. Some numerical experiments on the vibration model are made and several improved integration methods are presented.

采用Taylor级数展开方法，分析了常用的线性多步法在非光滑机械动力系统中的计算精度特性，建立了一个非光滑的机械振动系统检验模型，给出了典型的计算实例，并提出了几种改善计算精度的措施。

Then the distributed sources models of one order approximation model, twoorders approximation model, spatial frequency model and low order JA seriesexpansion model are compared with respect to the model accuracy.

随后将分布源的一阶近似模型、二阶近似模型、空间频率模型和低阶JA级数展开模型的模型精度进行了比较。

Computer simulations validate the performance of these algorithms. And the model error of low order approximation distributed sources model, spatial frequency distributed sources model and Jocabi-Anger series expansion distributed sources model are discussed.

通过计算机仿真，验证了低阶近似分布源模型方位估计算法的性能，并且研究了分布源的低阶近似模型、空间频率模型和低阶Jacobi-Anger级数展开模型的模型误差。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。