提出一种计算具有齐次边界条件的旋转薄壳的特征值和特征函数的精确解法。
A new exact solution is developed which enables to determine the free vibration characteristics of toroidal thin shell with homogeneous boundary conditions.
并通过变量代换，将原问题的非齐次边界条件转化为齐次边界条件的边值问题。
Through the change of variables, the original problem with inhomogeneous boundary condition is reduced to the boundary value problem of homogeneous boundary condition.
分析了在适当的边界条件和约束下三次多结点样条插值的逼近阶；
The approximation order of the interpolation with the appropriate boundary conditions and constraints is analyzed.
该关系表明，冲淤临界流量主要与含沙量成某一次方的比例关系，同时受水沙搭配关系以及边界条件的影响。
It is shown that the critical discharge depends mainly on the sediment content, the water and sediment combination, and the boundary condition.
本文就非闭光滑曲线上关于第二类边界条件的复三次样条函数的逼近误差进行了论讨，取得了较好的结果。
In this paper, we discussed the approximation errors of complex cubic interpolation spline on open smooth curves under the second boundary condition and got the better results.
三次样条插值函数边界条件由实际问题对三次样条插值在端点的状态要求给出。
The boundary conditions of cubic spline were given by the practical state at the extreme points of discrete function.
利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.
该关系表明，冲淤临界流量主要与含沙量成某一次方的比例关系，同时受水沙搭配关系以及边界条件的影响。
It is shown that the critical discharge between scouring and filling mainly depends on the sediment content, the proportional relationship be tween water and sediment, and the boundary condition.
第二种方法则是在各个次区域之间利用压力边界条件，同时利用后退边界方法来减少压力误差。
The second method assumes the pressure boundary conditions between sub-domains, but USES a receding boundary approach to minimize the pressure errors.
边界条件，齐次性，求解技巧。
本文提出了一种用三次样条函数模拟双次标准加入法测量方程，直接求解离子浓度的自动算法。比较了三种不同边界条件下用模拟函数计算离子浓度的结果。
An automatic algorithm for directly Determining the ionic concentrations by simulating the measurement equations of the double standard addition using the cubic spline function, has been presented.
在计算过程中，主流进口采用质量流量边界条件，二次流进口和混合流出口采用压力边界条件，均设置为环境大气压力。
In the computation, the inlet of the primary flow uses the mass flowrate boundary condition. The inlet of the second flow and the outlet of the mixing flow use the pressure boundary condition.
由板的边界条件可以建立相应的齐次线形方程组。
By plate's boundary condition we can found the homologous homogeneous linear system of equations.
导出了以固体骨架位移表示的无量纲控制方程，并将边界条件齐次化。
Firstly, the dimensionless governing equations in terms of displacement of solid skeleton are derived; and the boundary conditions are homogenized.
文章首先导出了以无量纲位移表示的矩阵形式的控制方程，并将边界条件齐次化。
Firstly, the dimensionless displacement governing equations in matrix form are derived and the boundary conditions is homogenized.
构造边界条件反求得控制顶点。构造出三次NURBS曲线的参数方程。
Boundary conditions are constructed to get the control points and the equation of 3-order NURBS curved profile is acquired.
求解的方法是采用曲线坐标变换，两次求解相应的调和方程，推导出解的一般形式。然后利用边界条件确定通解中的待定常数。
The general solution for this plate is obtained by solving the corresponding harmonic equation twice with the help of the curvilinear coordinate transformation.
在分析与探讨脉动轴向力作用下梁的参数共振问题时，本文取四种边界条件来分析第二阶次谐波参数共振的稳定区域，确定了零解与非零解的稳定性。
This paper investigates the subharmonic parametric resonance problems of a symmetric orthotropic laminated rectangular plate with simply supported edges by the use of the singularity theory.
在分析与探讨脉动轴向力作用下梁的参数共振问题时，本文取四种边界条件来分析第二阶次谐波参数共振的稳定区域，确定了零解与非零解的稳定性。
This paper investigates the subharmonic parametric resonance problems of a symmetric orthotropic laminated rectangular plate with simply supported edges by the use of the singularity theory.
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