计算公式

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。

According to the fractional derivative model of viscoelastic damper and force-deformation-slip relation of friction element,a precise finite element model of FVD is constructed,and the method for forming element stiffness matrix and control force vector of FVD is deduced.

针对粘弹性材料的分数导数模型和摩擦单元的力-位移-滑移量的矩阵关系式，建立了FVD精确的有限元模型，推导了FVD单元刚度矩阵和控制力向量计算公式和求解方法；根据钢筋混凝土框架结构的非线性特性，建立了设置FVD非线性钢筋混凝土框架结构地震反应时程分析的控制方法。

A simulation model of diffraction on Focal Plane Array imaging is established based on Fraunhofer diffraction algorithm. The effect of diffraction between two units on FPA in different distance is cal-culated by using Matlab.

采用夫朗和费衍射计算公式，建立了红外焦平面阵列成像衍射仿真模型，并用Matlab软件对不同距离探测像元之间的衍射影响进行了仿真。

An application of free energy framework on support vector regression machine parameters estimation is presented, and the corresponding formulas for selecting parameters and hyper parameters are derived to verify the feasibility and validity of this method.

应用自由能框架，对通常较难求解的贝叶斯支持向量回归机器的参数与超参数迸行估计，推导出相应的计算公式，并验证了该方法的可行性与有效性。

Based on this theory,and combined with Fourier transform frequency spectrum analysis and curve fitting ,the formula and arithmetic of equivalent mainfrequency for the frequency conversion measurement are derived.

本文正是基于这种变频法的思想，结合傅立叶变换频谱分析法和曲线拟合方法推导了介质损耗参数的工频等效计算公式和算法。

The formula of numerical computing is presented with discretion for Fresnel diffraction and phase numerical reconstruction of wave front.

从光的菲涅耳衍射、波前相位重构入手，对连续信号进行了离散化处理，给出了数值计算公式。

It was necessary that the frontispiece of face was pre-supported in the especial stratum. Fourthly, by the model analytic value and the FEM numerical simulation, the advance reinforcement parameters were analyzed roundly, and its results explained that the parameters had optimal values. A series of formulations conforming loads born up for pre-reinforcement structure were given, and five rules for its design and choice were put forward.

全面分析了影响工作面超前预加固参数的因素；揭示了拱部超前预加固参数与地层参数、隧道开挖与支护参数等的内在联系；论证了地层预加固参数的最佳值概念；给出了确定超前预加固结构作用荷载的半拱法、全拱法和全土柱法理论计算公式；建立了隧道工作面上覆地层稳定性判别的准则；提出了工作面地层预加固参数设计与选择的5个指导原则；最后给出了一整套确定浅埋暗挖法隧道工作面地层预加固参数的动态设计方法。

You are free to set the name of each function button and the calculation formula behind it.

你可以自由设定每个功能按钮的名称及其背后的计算公式。

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。

The calculation formula of its fundamental natural frequency is derived.

研究了空气弹簧隔振器的力学模型，导出了固有频率的计算公式。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。