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磁弹性非线性
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  “磁弹性非线性”译为未确定词的双语例句
     In this paper, based on the nonlinear magneto-elastic kinetic equation and the electrodynamics equation of the thin current-carrying plate, the normal Cauchy form nonlinear differential equations, which includes ten basic unknown functions in all, were obtained by means of variable replacement method. Using the differ- ence method and quasi-linearization method, the nonlinear magneto-elastic equa- tions were reduced to a sequence of quasi-linear differential equations, which can be solved by the method of discrete orthogonalization.
     本文在载流薄板的磁弹性非线性运动方程,电动力学方程的基础上,通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西(Cauchy)型,并通过差分法及准线性化方法,将标准柯西型的非线性偏微分方程组,变换成能用离散正交法编程求解的准线性微分方程组。
短句来源
     At first,based on nonlinear magnetic-elasticity kinetic equations,physical equations,geometric equations,the expressions of Lorentz forces and electrodynamics equations,the magnetic-elasticity kinetic steady equation of the problem were derived. Then,the equation was changed into the standard form of the Mathieu equation using Galerkin method. So,the stability problem is transformed to solve a Mathieu equation.
     首先在载流薄板的磁弹性非线性运动方程、物理方程、几何方程、洛仑兹力表达式及电动力学方程的基础上,导出了载流薄板在电磁场与机械荷载共同作用下的磁弹性动力稳定方程,然后应用Galer-kin方法将稳定方程整理为Mathieu方程的标准形式,并将薄板的动力稳定性问题归结为对Mathieu方程的求解。
短句来源
     In this paper, the nonlinear magneto-elastic kinetic equations, the geometric equations, the physical equations and the electrodynamics equations of thin current-carrying strip-plate under the action of the coupled field are given, and the normal Cauchy form nonlinear differential equations, which includes ten basic unknown functions in all, were obtained by means of variable replacement method.
     在给出耦合场作用下载流条形薄板的磁弹性非线性运动方程、几何方程、物理方程和电动力学方程的基础上,通过变量代换,将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西(Caucby) 型;
短句来源
     Based on the nonlinear magneto-elastic kinetic equations and the electrodynamics equations of thin current-carrying plates, the nonlinear differential equations of normal Cauchy type, which includes ten basic unknown functions, are obtained by means of variable replacement method.
     在给出载流薄板的磁弹性非线性运动方程,电动力学方程的基础上,通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西(Cauchy)型。
短句来源
     The nonlinear magnetoelastic kinetic equations,the electrodynamics equations and the expressions of Lorentz force of thin current-carrying plate under the action of the coupled field are given. The normal Cauchy form nonlinear differential equations,which include ten basic unknown functions in all,are obtained by means of variable replacement.
     该文在给出载流薄板在耦合场作用下的磁弹性非线性运动方程、电动力学方程和洛仑兹力表达式的基础上,通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西(Cauchy)型。
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  相似匹配句对
     MAGNETO-ELASTIC NONLINEAR VIBRATION ANALYSIS OF A THIN CONDUCTIVE PLATE
     传导薄板的非线性磁弹性振动问题
短句来源
     THE NONLINEAR MAGNETO-ELASTION OF THIN CYLINDRICAL SHELLS
     圆柱壳体的非线性磁弹性振动问题
短句来源
     Nonlinear Diffusion
     非线性扩散
短句来源
     In this paper, a finite difference scheme for the nonlinear K.
     研究非线性K .
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The magnetic-elasticity stability problem of a current plate clamped at each edge,which is under the action of mechanical load in magnetic field,was studied by using the stability of Mathieu equation's solution in this paper.At first,based on nonlinear magnetic-elasticity kinetic equations,physical equations,geometric equations,the expressions of Lorentz forces and electrodynamics equations,the magnetic-elasticity kinetic steady equation of the problem were derived.Then,the equation was changed into the standard...

The magnetic-elasticity stability problem of a current plate clamped at each edge,which is under the action of mechanical load in magnetic field,was studied by using the stability of Mathieu equation's solution in this paper.At first,based on nonlinear magnetic-elasticity kinetic equations,physical equations,geometric equations,the expressions of Lorentz forces and electrodynamics equations,the magnetic-elasticity kinetic steady equation of the problem were derived.Then,the equation was changed into the standard form of the Mathieu equation using Galerkin method.So,the stability problem is transformed to solve a Mathieu equation.By discussing the eigenvalue relation of the coefficient λ and η in Mathieu equation,means determining the boundary lines between the steady and unsteady solution areas of Mathieu equation, the criterion equation of the problem is presented here.As an example,a current plate clamped at each edge was solved.The curves of the relations among the parameters when the plate is in the critical situation of steady are shown in the paper.The calculated answers and the regularity of parameters variation are also discussed.

本文针对四边固定载流矩形薄板,利用Mathieu方程解的稳定性,研究其在电磁场与机械荷载共同作用下的磁弹性稳定性问题。首先在载流薄板的磁弹性非线性运动方程、物理方程、几何方程、洛仑兹力表达式及电动力学方程的基础上,导出了载流薄板在电磁场与机械荷载共同作用下的磁弹性动力稳定方程,然后应用Galer-kin方法将稳定方程整理为Mathieu方程的标准形式,并将薄板的动力稳定性问题归结为对Mathieu方程的求解。利用Mathieu方程的稳定解区域与非稳定解区域的分界,即方程系数λ和η的本征值关系,得出了磁弹性问题失稳临界状态的判别方程。通过具体算例,给出了四边固定载流矩形薄板的磁弹性动力失稳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了分析讨论。

In this paper, the nonlinear magneto-elastic kinetic equations, the geometric equations, the physical equations and the electrodynamics equations of thin current-carrying strip-plate under the action of the coupled field are given, and the normal Cauchy form nonlinear differential equations, which includes ten basic unknown functions in all, were obtained by means of variable replacement method. Using the difference method and quasi-linearization method, the nonlinear magneto-elastic equations were reduced to...

In this paper, the nonlinear magneto-elastic kinetic equations, the geometric equations, the physical equations and the electrodynamics equations of thin current-carrying strip-plate under the action of the coupled field are given, and the normal Cauchy form nonlinear differential equations, which includes ten basic unknown functions in all, were obtained by means of variable replacement method. Using the difference method and quasi-linearization method, the nonlinear magneto-elastic equations were reduced to a sequence of quasi-linear differential equations, which can be solved by the method of discrete orthogonalization. Through specific example, the numerical solutions of the stresses and deformations in the thin current-carrying strip-plate mixed with fixed and simply supported edges were obtained. The results that the stresses and deformations of the thin current-carrying strip-plate mixed with fixed and simply supported edges are altered with the variation of the electromagnetic parameters were discussed. Through a special case, it is shown that the deformations of the strip-plate can be controlled by changing the electromagnetic parameters.

在给出耦合场作用下载流条形薄板的磁弹性非线性运动方程、几何方程、物理方程和电动力学方程的基础上,通过变量代换,将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西(Caucby) 型;并通过差分法和准线性化方法,将标准柯西型的非线性偏微分方程组,变换成为能够用离散正交法编程求解的准线性微分方程组。通过具体算例,得到了固定简支混合支撑载流条形薄板的磁弹性应力与变形的数值解。变换电磁参量讨论了固定简支混合支撑载流条形薄板的应力及变形的变化规律,通过实例说明了通过变化电磁参量可实现对条形板的变形控制。

Based on the nonlinear magneto-elastic kinetic equations and the electrodynamics equations of thin current-carrying plates, the nonlinear differential equations of normal Cauchy type, which includes ten basic unknown functions, are obtained by means of variable replacement method. Using the finite difference method and the quasi-linearization method, the nonlinear magneto-elastic equations are reduced to a series of quasi-linear differential equations, which can be solved by the method of discrete orthogonalization....

Based on the nonlinear magneto-elastic kinetic equations and the electrodynamics equations of thin current-carrying plates, the nonlinear differential equations of normal Cauchy type, which includes ten basic unknown functions, are obtained by means of variable replacement method. Using the finite difference method and the quasi-linearization method, the nonlinear magneto-elastic equations are reduced to a series of quasi-linear differential equations, which can be solved by the method of discrete orthogonalization. Through a specific example, the numerical solutions of the stresses and deformations in thin current-carrying strip-plate with two edges fixed were obtained. The stresses and deformations of thin current-carrying strip-plate with the variation of the electromagnetic parameters are discussed. Through a special case, it is shown that the deformations of the plate can be controlled by changing the electromagnetic parameters.

在给出载流薄板的磁弹性非线性运动方程,电动力学方程的基础上,通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西(Cauchy)型。并通过差分法及准线性化方法,将标准柯西型的非线性偏微分方程组,变换成为能够用离散正交法编程求解的准线性微分方程组。通过具体算例,得到了两边固支载流条形薄板的磁弹性应力与变形的数值解。变换电磁参量讨论了载流条形薄板的应力及变形的变化规律,通过实例说明了通过变化电磁参量可实现对板的变形控制。

 
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