查询词典 convolution equation

The exploitation is based on the similarity of the constitutive equation of damp-heat and the constitutive equation of piezoelectricity.

应用所开发的功能，进行了压电智能结构振动控制的研究，并用算例验证了其可行性。

According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

基于平面截面假定，弹性杆的位形表达为截面的弧坐标历程，根据平衡微分方程得到了两端受力螺旋作用时的直线平衡特解，导出了线性化扰动方程及其通解，积分常数根据两端铰支时的边界条件确定，并根据其存在非零解的条件得到弹性直杆精确模型的Greenhill公式，表明稳定域为一对称的封闭区域，拉/压和剪切对稳定性的影响取决于：拉/压柔度与剪切柔度之差，抗弯刚度和杆长这三个因素

Chapter 7. Make use of the unified field equation studied intrinsic magnetic field for planets, got that the magnetic induction equation is satisfied with the motion of planetary inside matter.

第七章 利用统一场方程研究了行星的固有磁场，也得到了行星内部物质运动所应满足的磁感应方程。

In mathematics, this conclusion can be considered as the conjunction point between Riccati equation and Lyapunov equation, and from the point of view of control system, it can be considered as the conjunction point between optimization of system control and stabilization of system.

在此基础上，又推广研究了不确定系统鲁棒最优输出反馈的设计问题，探讨了静态、动态输出反馈设计的解法思路和问题，并给出了相应的研究结论。本文的最优输出反馈结论，从数学上看，可以认为是找到了Riccati方程和Lyapunov方程解的一个契合点。

The paper is regarding a fourth-order rational difference equation, proving that the positive equilibrium point of the equation is globally asymptotically stable.

研究了一个四阶有理差分方程，证明了该方程的正平衡点是全局渐近稳定的。

In this paper, a QSPR equation for Krafft point of a series of fluorocarbon surfactant is established for the first time. The effect of counterions on Krafft point is also considered in such equation.

而本文对一系列碳氟表面活性剂展开QSPR研究，建立了预测这类表面活性剂Krafft点的QSPR方程，并在方程中考虑了反离子对Krafft点的影响。

The fluid model includes the continuous equation of particles and Poisson equation, etc.

流体模型主要包括粒子连续性方程和泊松方程。

This paper studied on electromagnetic field computation Poisson equation, and built discrete equation for resolve in EFGM.

无网格法作为一种新兴的数值方法，解除了节点的网格束缚，能够消除由于网格存在所带来的缺陷。

At the chapters of theory analysis,constitutive equation of dusty is deduced from the results of the experiment and related theories about oblique shock wave.after that relationship of parameters reflecting flow-field characteristic are deduced from theories of shock wave polar .The paper set up conservation equations depicting gas and solid flow-field by double fluid model,thus equations and constitutive equation of granular phase form closed equations.then the paper uses AUSNT vector splitting method to numerically calculate the equations.

理论部分主要包括：利用实验测试结果以及斜激波理论测试出该堆积粉尘的本构方程，然后利用和激波极曲线理论得到反映流场特征参数的变化曲线；本文还利用双流体模型，建立了描述气—固两相流动的守恒型方程组，与本构方程一起构成封闭方程组。

The input-output equation, which is proved to be a 42th degree polynomial equation, is obtained.

对次数的判定后证明方程的解为42个，即该平面五级组可以有42种构型。

"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。