查询词典 derived equation

The propagation equation of Gaussian pulse is theoretical derived considering second-,third-,fourth-order dispersion.The influence of FOD on propagation properties of femtosecond Gaussion pulse in Single-mode optical fiber is mostly considered.

推导了考虑二、三、四阶色散的高斯脉冲传输方程；利用计算机数值模拟的方法，研究了四阶色散对飞秒高斯脉冲在单模光纤中传输特性的影响。

Firstly, the equation for stress intensity factors under static uniform pressure is used as the reference case, and then the weight function for a thick-walled cylinder containing a radial edge crack can be worked out. Secondly, the dynamic stresses in uncracked thick-walled cylinders are solved under internal impulsive pressure by using mode shape function method. The solution consists of a quasi-static solution satisfying inhomogeneous boundary conditions and a dynamic solution satisfying homogeneous boundary conditions, and the history and distribution of dynamic stresses in thick-walled cylinders are derived in terms of Fourier–Bessel series. Finally, the dynamic stress intensity factor equations for thick-walled cylinder containing a radial edge crack subjected to internal impulsive pressure are given by dynamic weight function method.

首先采用静态内压下的应力强度因子作为参考解，得到了带径向边裂纹厚壁圆筒的权函数；然后用振型函数方法推导无裂纹厚壁圆筒在冲击内压下的动应力响应，分析中将相应的弹性动力学方程解分为满足非齐次边界条件的准静态解和满足齐次边界条件的动态解的叠加，利用傅立叶-贝塞尔级数展开，推导出了厚壁圆筒内动应力的响应历程和分布规律；最后由动应力权函数方法导出带径向边裂纹厚壁筒在冲击内压下的动态应力强度因子计算公式。

The sufficient conditions for achieving synchronization of this fractional differential system are derived by using the stability criterion of fractional linear equation.

用三种不同的方法考虑分数阶Lorenz混沌系统的修正投影同步，基于分数阶线性方程的稳定性理论给出了实现同步的几个充分条件，数值模拟说明了所给方法的有效性。

An equation for calculating the Fresnel diffraction field of a grating under short-pulsed light illumination is derived.

首先导出了光栅在短脉冲激光照射下的菲涅耳衍射光场的方程，利用该方程分析了一个开口比为1：4的光栅的衍射光场。

It is concluded that frost heaving is much more than thaw settlement, it is in accordance with observation results along Qinghai-Tibet highway.⑥Differential equation of heat transfer with phase change is derived in this paper.

通过模型试验，得出变形场受温度场控制的结论，并在多个冻融循环中，存在着一个斜坡后继变形的"温度门限"，控制着斜坡变形的进一步发展。

The fracture problem can be solved by calculating the boundary value of a partial differential equation. By the methods of complex variable function and undetermined coefficients, the formulae for deflection, displacement, bending moment, torque, stress and strains near the crack tip are derived.

该断裂同题可化为求解一个偏微分方程的边值问题，借助复变函数方法和待定系数法，推出了裂纹尖端附近的挠度、位移、弯矩、扭矩、应力和应变的计算公式。

Methods From the fundamental equation in Laplace domain, using Multiple Reciprocity Method-Boundary Element Method, the integral equations and the boundary integral equations are derived and solved numerically.

方法由 Laplace 变换域中的基本方程出发，利用多重互换边界元方法，得到了积分方程和边界积分方程，并求得数值解。

The vibration equation of vertical dynamic earth pressure of reinforced gabion wall under horizontal seismic loading is also derived.

推导了加筋格宾挡墙在水平地震荷载作用下的竖向动土压力的振动方程。

The finite element equation of 3D3C CSAMT electric field is derived from Maxwell equations using Galerkin method.

首先从麦克斯韦方程出发，用伽里金方法推导了三维三分量CSAMT法的有限元方程。

The linearized partial differential equation of motion is derived based on Euler-Bernoulli beam theory, and reduced to a set of coupled Hill's equations by using Galerkin's method.

首先根据欧拉梁理论建立偏微分运动方程，利用迦辽金法转化偏微分方程为周期变系数常微分方程。

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。