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The perturbation theory was used to establish the equation of state for the phase equilibrium calculation.

为了避免计算中势能作用数值积分截断导致的误差,采用了合理的长程校正方法。

Firstly, the natural frequencies and normal mode shapes of the fluid-conveying pipe with zero fluid velocity (i.e. U=0) were determined with the transfer matrix method. Next, these natural frequencies and normal mode shapes were used to derive the equation of motion for the fluid-conveying pipe with fluid velocity U.neq.0 by using the expansion theorem. Finally, the free and forced vibration responses of the pipe with flowing fluid were obtained by means of the Jacobi method and the Newmark direct integration method.

首先吾人使用转移矩阵法来求取一流速等於零(即U=0)、跨距数为N之流体输送管的自然频率及其所对应之正规化振态,然后利用振态重叠法原理来推导流速不等於零(即U.neq.0)时,整个流体输送管在外力作用下的运动方程式,最后再以Jacobi法及Newmark直接积分法来计算该水平流体输送管的自然频率及强迫振动反应。

The simulation on a system of boiler drum water level control indicates that the fuzzy controller of self-tuning proportionality factor based on PI arithmetic can improve the performance of fuzzy control system and can control the fallacious water level.

为减小模糊控制器的误差,最常用的就是将PID控制与模糊控制结合起来,从而构成模糊PID控制。然而由于引入了积分作用,使得控制过程的响应时间大大增长,失去了模糊控制响应快速的特点。

An alternative formulation of quantum mechanics is Feynman's path integral formulation, in which a quantum-mechanical amplitude is considered as a sum over histories between initial and final states; this is the quantum-mechanical counterpart of action principles in classical mechanics.

一个量子力学的代用公式是费曼路径积分公式,在其中量子力学振幅被认为是超过最初与最后态历史的总和;这就是在经典力学里量子力学作用原理的相似物。

The second kind of Fredholm integral equation for the pile was established in terms of the fundamental solution, the compatibility conditions and the free wave field.

利用半空间饱和土的基本解和自由波场解及桩、土间变形协调条件,建立了桩土共同作用的第二类Fredholm积分方程。

G. Lekhnitskii and the Hankel integral transformation are used, And thereby a solution of the Stress field and displacement field of an embedded penny-shaped crack lying in a transverely isotropic plane under the action of the uniform tension stress at the far end perpendicular to the crack surface is obtained.

本文利用对于横观各向同性体轴对称变形时应力函数解法的基本方程,并应用Hankel积分变换,求解了位于横观各向同性平面内的埋藏圆片裂纹在垂直于裂纹面远处均匀拉应力作用下的应力场和位移场,获得了与各向同性材料相同的应力强度因子,不同于各向同性材料的应力场和应变能释放率裂。

The proofs of the Zero theorem and indefinite integral ∫(superscript 1)(subscript 0)e(superscript -x^2) are given by research learning method.

本文论述了如何应用研究性学习方法证明零点定理及不定积分∫e(上标-x^2)dx,其方法简便,理论性强,对培养学生的创新能力有一定的作用。

The dynamic response of the soil-pile system was yielded by numerical solution of the integral equation.

对积分方程的数值求解可得桩在瑞利波作用下的动力响应。

The disadvantages of the currunt state regulators with integral function are analysized, and their control effects have been compared.

进而分析了现有的具有积分作用的状态调节器的缺点,并对它们的控制效果进行了分析和比较。

The order of the H∞ controller was reduced,and the phase compensation principle by using the integral function was analyzed.

对所设计的H∞控制器进行了降阶处理,分析了利用积分作用进行相位补偿的设计原理。

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