叠加原理

本文给出了薄板Griffith裂纹的弯曲应力强度因子K1Kn可以应用叠加原理来计算的证明；

This Paper proves that the bending stress intensity factors K_ ⅰ K_ (ⅱ) of Griffith crack in thin plate can be computed by using the superposition principle ;

基于一阶剪切变形理论、Boltzmann线性叠加原理和Galerkin技术，建立了反对称正交铺设损伤黏弹性复合材料层合板的非线性控制方程。

Using the first order shear deformation theory , Boltzmann superposition principle and Galerkin technique , the nonlinear equations of antisymmetric cross-ply viscoelastic laminated plates with damage are derived .

Boltzmann叠加原理在聚合物粘弹性理论中的应用

The application of Boltzmann overlapping principle in viscoelastic theory of polymer

本文利用叠加原理，给出一适应于任意跨距三点弯曲V形切口梁的应力强度因子的计算公式。

A formula for calculating K1 of a V-notched beam under arbitrary span three points bending is given by the use of superposition techniques .

对故障时CVT电路采用叠加原理，通过理论分析和仿真计算，可从其输出中分解出CVT的暂态噪声，从而建立暂态噪声模型。

By theoretic analysis and simulative computation , the model of transient noise is established .

利用叠加原理给出地层中有单一断层或供给边线，以及河道状油藏，U形油藏，矩形油藏等井底压力及其导数的双对数图。

The pressure and its derivative are also given for one fault , channel , U-shaped and rectangular reservoir by using the superposition theory .

基于一简单模型和叠加原理，分别研究了单丝和多丝化学气相沉积（CVD）系统的温度场及基底表面的温度分布。

Temperature profile in single and multi filament CVD system and temperature distribution in the substrate surface were analysised based on a simplified model and the addition principle respectively .

按照谐波叠加原理并且结合桥梁结构的形态特点，计入风速随结构高度改变而随之改变的特点，利用MATLAB软件编了相应的模拟程序进行计算，从而获得了桥塔的二维脉动风场的模拟。

The simulation of tower two dimensional pulsation wind field is established by the simulating MATLAB programs based on harmonic number superposition principle , the bridge configuration properties , and the consideration of the different wind speed in different tower heights . 4 .

通过叠加原理给出了含有裂纹的介质层的拉梅势函数在Laplace积分变换域中的解以及相应的位移和应力解。

The solutions of the Lame potential functions and the solutions of the corresponding displacement and the stress in the Laplace transform domain of the composed medium with crack were given using superposition principle .

基于Karman板理论和线粘弹性Boltzmann叠加原理，建立了粘弹性对称铺设层合板的非线性积分&偏微分动力学方程。

Based on von Karman thin plate theory and Boltzmann principle for linear viscoelastic materials , the nonlinear integral-partial differential dynamic equations for viscoelastic symmetrically laminated plates are derived .

基于应力强度因子K叠加原理，在考虑纤维桥联和拔出两种主要增韧机理的前提下，建立了裂纹尖端附近桥联纤维对复合材料基体微裂纹扩展的阻滞作用的理论模型；

On basis of the K-superposition theory of stress-intensity factors and the main toughness improving mechanism of fiber bridging and pull-out , a theoretical model of the microcrack growth resistance mechanism of the bridging fiber near the crack lips to the composites matrix is established .

根据Biot-Savart定律和磁场叠加原理，提出了一种产生匀强磁场的三维正交球状反馈线圈系统的设计方法。

According to Biot-Savart law and superposition principle of magnetic field , a three-dimensional orthogonal spherical feedback coils system design was proposed .

基于VonKarman板理论和Boltzmann线性叠加原理，建立了以中面位移表示的含损伤粘弹性板的非线性控制方程。

By using the Von Karman thin plate theory and Boltzmann superposition principle , the nonlinear equations of viscoelastic thin plate with damage are derived and denoted by the mid-plane displacements .

利用叠加原理和弹性半空间的Mindlin公式，导出了计算桩基冻胀力三维问题的积分方程。

The integral equation for three dimensional problem of pile frost heaving force computation is derived from the principle of superposition and the Mindlin formulae in an elastic half space .

基于线性系统的叠加原理和坐标变换，建立了求解运动荷载作用下板的动力响应的广义Duhamel积分公式，把运动荷载问题转化为获取位移脉冲响应函数。

Based on transform of coordinate and principle of superposition , a generalized Duhamel ′ s integral formula dealing with moving load problem is established .

方法根据量子力学中的态叠加原理，构造了由多模虚奇相干态和多模偶相干态组成的四态叠加多模叠加态光场Ψ（4）oeV〉q。

Methods According to the linear superposition principle of quantum mechanics , the fifth kind of four-state superposition multi-mode superposition states light field |Ψ ~ (( 4 )) _ ( oe ) V 〉 _q is constructed with multi-mode imaginary-odd and even coherent states .

根据量子力学中的线性叠加原理，构造了由奇、偶相干态光场所组成的一种新型的四态叠加多模叠加态光场Ψ（4）o，eⅢ〉q。

According to the linear superimposition principle in quantum mechanics , a new kind of four-state superimposition multimode superimposition state light field | Ψ ( 4 ) o , e ⅲ > q is made up of multimode imaginary odd coherent state and multimode imaginary even coherent state .

然后采用坐标变换并结合线性叠加原理，研究了90o层发生横向基体多级开裂问题。

The multiple cracking in 90 degree layers is studied using the coordinate conversion and linear superposition principle .

根据Duhamel叠加原理建立了反映凝析作用的汇项；引入了描述这一汇项的两个新的物理参数：凝析强度RD和凝析弛豫时间λD。

We have established a sink item to show the influence of accumulation of condensate liquid according to Duhamel Principle of Superposition , and introduced two coefficients for it : condensing strength RD and condensing relaxation time λ D.

利用叠加原理和所得的基本解，并沿椭圆孔和裂纹表面取待定的基本解密度函数，可得一组以基本解密度函数为未知函数的Fredholm积分方程。

Utilizing the proposed elementary solutions and taking density functions of elementary solutions along elliptical holes and cracks surface as undetermined functions , a group of Fredholm integral equations can be established .

本文根据弹性断裂力学的叠加原理，建立了地应力场和流体压力作用下水力压裂中孔边轴对称裂纹尖端应力强度因子K1的近似解析表达式。

Based on the principle of superposition of linear elastic fracture mechanics , this paper derives the approximate analytical expressions of stress intersity factors ( KI ) at the crack tips of axisymmetric fractures emanating from cylindrical holes with hydraulic fracturing under in - situ stress field and fluid pressure .

同时，结合叠加原理，提出了一种分析ACLD旋转壳动力学特性的半解析方法。

Combining with the superposition principle , a semi-analytical method was also developed to analyze the dynamic characteristics of the ACLD shell of revolution .

型钢混凝土（SRC）柱截面承载能力计算主要有基于钢筋混凝土柱承载能力计算模式、钢结构柱容许应力法和叠加原理的型钢混凝土柱计算方法。

The calculation methods to calculate load-bearing capacity of steel reinforced concrete ( SRC ) column are mostly based on calculation of the bearing capacity of reinforced concrete column , the allowable stress law of steel column and the superposed method .

基于粘弹性理论和连续介质损伤力学，采用Boltzmann叠加原理和应变能等效原理，建立了具正交各向异性损伤的粘弹性复合材料的本构关系。

The main results contain as follows : Based on the viscoelastic theory and the continuum damage mechanics , and according to the Boltzmann superposition principle and strain energy equivalence , a constitutive model is established for viscoelastic composites with orthotropic damage .

基于VonKarman薄板理论、Boltzman叠加原理和连续损伤力学，建立了以中面位移表示的具损伤粘弹性薄板的非线性动力学方程。

Based on Von Karman thin plate theory , Boltzman superposition principle and continuum damage mechanics , the nonlinear dynamics equations of viscoelastic thin plate with damage were derived and denoted by the middle-plane displacements .

基于运动叠加原理，推导了以Doppler频率表征的雷达平台运动条件下高频段海浪杂波的运动方程及由平台运动引起的Bragg海浪谱的展宽表达式；

Based on the motion-superposition principle , the effects of a moving radar platform on the first-order Bragg lines in ship-borne surface wave radar returns are analysised mathematically in terms of Doppler frequency and a distortion model which describes Bragg lines broadening due to the radar platform motion is presented .

方法利用量子力学中的态叠加原理，构造了由多模泛函偶相干态和多模泛函复共轭偶相干态线性叠加组成的一类典型的多模泛函叠加态光场ψ2e（fj）〉q；

Methods Based on the superposition theory in quantum Mechanics , a typical kind of multimode functional superposition state light field is structured which is composed of multimode functional even coherent state and multimode functional complex conjugation even coherent state .

用面元法和叠加原理在Kirchhoff近似条件下计算得出的导体平板与其粗糙环境的近场复合散射RCS值与有关文献作了比较，结果吻合，验证了该方法的可靠性和正确性。

Both based on approximately condition of the Kirchhoff and used mini areas and cascaded principle the RCS results of the field composite scattering from the conductor plate over the rough sea surface consistent with the correlation literatures , so the method is available and right .

采用伪力法和叠加原理，结合所求的基本解，给出了含中心斜裂纹的岩石类材料在压缩荷载作用下的应力强度因子（SIF）的解法。

With the aid of the pseudo-traction method , the superposition technique and the presented fundamental solutions , a method to obtain the stress intensity factors ( SIFs ) for materials such as rock with central inclined cracks under compressive loading is proposed .

本文首先对爆炸烧结机制作了简要的分析。然后利用叠加原理建立了对多元粉末激波参数的计算方法，计算了W-Ti二元粉末的激波参数。

In this paper , the mechanism of explosive sintering is studied , and the shock wave parameters of the W-Ti powder compound by the superimposition principle are computed .