查询词典 convolution equation

With a unitary transformation, the Schrodinger equation becomes the standard mathieu equation, then the energy spectrum and the wave functions of the system are obtained.

用幺正变换将薛定谔方程变换为标准的马丢方程，通过对薛定谔方程的求解，得到了系统的能级和波函数。

Dinger equation becomes a standard Mathieu equation, and then the basal quantum character such as energy spectrum and wave functions of the system are obtained.

该系统的差分薛定谔方程在电流的表象中可以变为马丢方程的形式，从而系统最基本的量子性质——能级、本征态和电流的量子涨落可以在WKBJ近似下完成。

A typical Mathieu equation subject to harmonic excitation is acquired by means of the theory of linear vibration. By using integral transformation, the series solutions to the Mathieu equation are obtained.

根据线性振动理论对系统运动微分方程组进行分析，得到了一个受简谐激励的Mathieu方程，通过积分变换，得到了Mathieu方程的级数形式解。

The criterion equation of the magneticelasticity kinetic problem was gotten by the eigenvalue relation of Mathieu equation's coefficient λ and η.

利用Mathieu方程系数λ和η的本征值关系，得出了载流薄板磁弹性动力屈曲临界状态的判别方程。

The criterion equation of the magnetic-elasticity kinetic problem has been derived by the determination on the boundary line of steady and unsteady solution area of Mathieu equation, i.e.

通过具体算例，给出四边简支矩形板的磁弹性动力屈曲方程以及屈曲临界状态与相关参量之间的关系曲线，并对计算结果及其变化规律进行分析讨论。

The criterion equation of the magnetic-elasticity kinetic problem was gotten by the eigenvalue relation of Mathieu equation's coefficient λ and η.

利用Mathieu方程系数λ和η的本征值关系，得出了载流薄板磁弹性动力屈曲临界状态的判别方程。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。

In order to solve the linear strong parametrical excitation equation, the method for solving strong parametrical excitation Mathieu equation is brought out. With the introduction of a new conversion, the strong parametrical excitation problem is converted to weak parametrical excitation problem. The second order approximate periodic solutions are obtained and the transition curves are gained by using a modified strained parametrical method.

为适应求解垂荡与纵摇耦合运动的线性强参数激励方程，提出了强参数激励Mathieu方程的求解方法，通过引入新的变换，将强参数激励问题转化为弱参数激励问题，应用改进的变形参数法求其二阶近似周期解和过渡曲线。

Based on the Timoshenko-Mindlin hypothesis and the Hamilton Principle, a set of governing equations of motion for the laminated non-circular cylindrical thick shells were founded.Using the Galerkin procedure,the Mathieu equation only with time variable was obtained,and this equation was solved by the method of increase harmonic balance.

基于Timoshenko-Midlin假设及Hamilton变分原理，建立了层合中厚非圆柱壳的非线性运动控制方程，采用伽辽金技术，得到仅含时间参数的Mathieu型方程，然后应用增量谐波平衡法进行求解。

Then, use Galerkin principle to put the stability equation in order for the special function the Mathieu standard form, and utilize the boundary of the Mathieu solves' steady area and unsteady area , namely special relationships of and,draw the discrimination equation of losing the magnetoelastic steady critical state.

然后，应用Galerkin原理将稳定性方程整理为特殊函数马丢方程的标准形式，并利用马丢方程的稳定解区域与非稳定解区域的分界，即系数和的本征值关系得出了磁弹性最低失稳临界状态的判别方程。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。