查询词典 dimensional equation

In the study, we present an exact three-dimensional solution to the differential equation for steady-state heat transfer in composite substrate.

本计画提出了一个基板上温度分布之稳态解，实际测试指出本文的方法对於晶片之热设计为一有力之工具。

A high precise explicit difference scheme for solving three-dimensional parabolic equation is constructed and studied.

构造和研究了三维抛物型方程的高精度显式差分格式。

A new definition of L parameter for considering the three dimensional stress distribution caused by hoop stress and torsion shear stress is made and the L solutions of these structures under various multiple loads are developed in the form of the simultaneous equations and a single exponential function equation.

另外还给出了在三维应力状态下的含缺陷结构L参量的新定义，针对多载荷作用下的周向裂纹管提出了求解L参量的联立方程法、幂指数法。

The one-dimensional time-dependent Schrdinger equation was numerically solved with the symmetric splitting of the short-time exponential propagator and the fast Fourier transformation, and influence of intensity and pulse with on ionization of linear multi-ation molecular ion in two-color laser fields was researched.

利用短时指数传播子对称分割法和快速傅里叶变换技术，数值求解了一维含时Schrodinger方程，探讨了双色激光场中激光的基波和谐波强度之间的不同配比以及脉宽对线性多原子分子离子电离的影响。

This thesis expands the research on the nonlinear diffusion with nonlinear boundary sources to the multi-dimensional exterior domain of the unit ball and the more general equation in the form.

本文将原有的关于具非线性边界源的非线性扩散方程的研究在本质上推广到了高维情形，而且在方程类型上还推广到了更一般的形式以及含一阶项的情形。

In this paper, Smith's finite difference solution of one-dimensional wave equation is applied to two prototype steel pipe testpiles 900 mm o.

本文将一维波动方程的史密斯差分解应用于华北渤海油田的两根开口打入的原型钢管试桩(外径900毫米，变壁厚、桩长分别为69及72米)。

In this paper, Smith's finite difference solution of one-dimensional wave equation is applied to two prototype steel pipe testpiles(900 mm o.d.with variable wall thickness and lengths of 69 and 72 m)which were driven with open ends in the Bohai oil field of North China.

本文将一维波动方程的史密斯差分解应用于华北渤海油田的两根开口打入的原型钢管试桩(外径900毫米，变壁厚、桩长分别为69及72米)。计算结果与现场实测值(包括以后所进行的静荷载试验)相比甚为符合。

The quasi-analytical expressions of the relative concentrations at the mobile region and the immobile region are deduced respectively by using hypergeometric equation, hypergeometric function and the method of Laplace transform under the initial concentration zero and the first or second boundary condition of a semi-infinite one-dimensional space.

并分别在初始浓度为零，半无限一维空间内第一类边界条件和第二类边界条件下，利用超几何方程、超几何函数和Laplace变换法推导出了可动区和不动区溶质相对浓度的准解析表达式。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型：1 根据造波板做椭圆余弦运动或正弦运动速度，推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件，数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确；2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解，讨论了该解析解的适用范围；3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用；4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

Using the first order shear deformation theory for plate and mechanical-electro coupled variational equation, the two dimensional dynamic finite element formulation containing the effect of pressure in the cavity was derived.

数值分析了在不同的结构和声腔共振频率下主动控制效果，结果表明通过合适地布置压电片，能够很好地控制腔体的声压与位移。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新