查询词典 dependent equations

After the dynamic response of radial displacement had been obtained in the S2 simply supported condition, the effects of winding angle and thickness on the radial displacement were discussed. By setting the displacement functions as complex Fourier series at the perturbed state, the perturbed motion equations were deduced to a set of Mathieu equations.

对扰动状态的非轴对称变形，位移函数采用复Fourier级数形式，得到了Mathieu形的扰动方程，由此给出了临界载荷和固有频率。

The new method gives out a set of equations based on the fundamental algebra rules that principal stress trace obeys and the essential attributes it possess, we then combine these equations with further information described in this paper leading to an exact description of the conic representing the principal stress traces.

该方法是根据主应力迹线满足过任意三条等倾线的主应力都可以用二次曲线来描述这一条件，再利用主应力迹线本身所具有的性质列出方程组解算出描述主应力迹线的一元二次方程，然后根据方程描绘出所求的主应力迹线。

Based on the concept of the non-proportional damping which may be divided into the proportional part for dissipation of energy and the nonproportional part for transformation of energy, a new modal superposition pseudo-force method is presented if the approximate decoupling method is not suitable. In this method the coupled modal equations are solved by iteration in which the coupling terms are treated as pseudo-force and set to the right side of the equations.

在不能进行近似解耦分析时，基于非比例阻尼可分为耗散能量的比例部分和转换能量的非比例部分这种概念，建立了一种拟力实模态叠加法，即把正则化的耦合模态方程中代表非比例阻尼部分的耦合项作为虚力，放到方程的右端，再运用迭代法求解。

The multiple method of scale is used to obtain the averaged equations in primary parameter resonance. From the averaged equations, the theory of normal form is applied to find the explicit formulas of normalform associated with a double zero and a pair of pure imaginary eigenvalues with the aid of the Maple program.

利用多尺度方法得出了主参数共振情况下的平均方程，利用Normal Form理论对具有双零特征值和一对纯虚特征值的平均方程进行了简化，得到了平均系统的Normal Form。

Questions in this content area are based on an understanding of the quadratic formula, rational and radical expressions, absolute value equations and inequalities, sequences and patterns, systems of equations, quadratic inequalities, functions, modeling, matrices, roots of polynomials, and complex numbers.

中等代数（ 15 ％）。这方面的考试内容包括理解二次公式，有理式及根式，绝对值方程和不等式，序列，方程组，二次不等式，函数，建模，矩阵，多项式的根以及复数。

From the Maxwell′s equation,the quasi static electromagnetic field equations in a perfect conductor have been deduced in this paper.The equations are used to analyze two eddy current field engineering problems,and good results are obtained.

本文从麦克斯韦方程出发，推导出良导体内的似稳电磁场方程，将导出的电磁场方程用于分析两个电磁工程实例，获得了两个工程问题的涡流场解析计算结果。

Equations of the force acting on the oil droplet are given based on the analysis of radial pressure field. These equations point out that this force directs to the core and may improve the separation.

在研究压力分布的基础上，给出了径向压力场作用在液滴上力的计算公式，并指出这个力指向核心，有利于分散相液滴的分离。

The energy balance equations and exergy balance equations of heat exchanger and power equipment in the combined power cycle were established.Taking condensation temperature of Rankine cycle, inlet and outlet pressure of turbine of Rankine cycle, inlet and outlet pressures of turbine of LNG cycle as key parameters, the influences of these parameters on the thermal efficiency and exergy efficiency of the combined power cycle were analyzed.

建立了混合动力循环中换热和动力设备的能量平衡方程和可用能平衡方程，并以朗肯循环冷凝温度、朗肯循环透平进出口压力、液化天然气循环透平进出口压力为关键参数，分析了上述关键参数对混合动力循环热效率和可用能效率的影响。

The energy balance equations and exergy balance equations of beat exchanger and power equipment in the combined power cycle were established. Taking condensation temperature of Rankine cycle, inlet and outlet pressure of turbine of Rankine cycle, inlet and outlet pressures of turbine of LNG cycle as key parameters, the influences of these parameters on the thermal efficiency and exergy efficiency of the combined power cycle were analyzed.

建立了混合动力循环中换热和动力设备的能量平衡方程和可用能平衡方程，并以朗肯循环冷凝温度、朗肯循环透平进出口压力、液化天然气循环透平进出口压力为关键参数，分析了上述关键参数对混合动力循环热效率和可用能效率的影响。

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

We stopped by the old fashion ice cream parlor Manhattan Beach Creamery for some refreshment. The "No Shoes, No Shirt, No Problem" sign on the wall epitomizes the beach lifestyle.

我们去商店区的一家老式冰淇淋店坐坐，墙上挂著「没鞋，没上衣，没问题」的牌子完全捕捉了海滩生活的随性及风格。

"If therefore", argues Bellarmine we can offer our prayers and our satisfactions in behalf of those detained in purgatory, because we are members of the great body of Christ, why may not the Vicar of Christ apply to the same souls the superabundant satisfaction of Christ and his saints--of which he is the dispenser?

" "因此，如果"，认为贝拉明（德indulgentiis ，十四）"我们可以提供我们的祈祷和我们满意的代表那些被拘留在炼狱，因为我们是成员的伟大基督的奥体，为什麼可能不是牧师基督适用於同样的灵魂满意的过剩是耶稣和他的圣人-他是在配药？