算例进一步表明了精细时程积分算法求解刚性方程的有效性。
The efficiency of the precise integration algorithm of stiff equation is shown by numerical examples.
将作者提出的高精度任意阶显式精细积分多步法应用于刚性方程中。
The arbitrary order explicit precise time integration method with high accuracy is developed to sti? Equations.
此法将能用足够微小的步长去保证计算方法的稳定与精度，因此能够解决线性刚性方程的求解问题。
Thus, this method will allow us to use sufficiently small step sizes so as to guarantee t…
揭示了精细时程积分不仅具有显式积分格式，而且具有绝对稳定性和高精度的特点，避免了刚性方程的计算危险性。
The method has not only the explicit integral scheme, but also the absolute stability and high precision, which avoids the computational fatalness of stiff equation.
精细积分法在求解刚性方程和常系数线性方程时显示出很大的优越性，这为柔性体系动力学方程的求解提供了新的工具。
The time precise integration method shows great advantage to solve the stiff equations and nonlinear equations, it provides a new computation way for the research of flexible multibody system.
在空间框架的一个刚性节点处，可以写出三个分力方程和三个力矩方程。
At a rigid joint of a space frame, three resolution and three moment equations can be written.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
The vertical vibration of a rigld circular plate on a poroelastic half space is studied by using the technique of integral transform and integral equation.
ADAMS采用拉格朗日动力学方程，辅以刚性积分算法以及稀疏矩阵技术来求解模型。
ADAMS solves the model by adopting Lagrange dynamics equation and complementing with rigidity integral algorithm and sparse matrix technology.
基于反馈线性化控制理论，推导出了平面3r刚性冗余度机器人的零动态方程。
Based on the control theory of feedback linearization, the zero dynamics equation for a planar 3r rigid redundant robot was derived.
介绍了一种适合于求解反应堆中子动力学方程的刚性限制法。
The stiffness confinement method (SCM) for solving the reactor neutron kinetic equations is described.
许多化工过程的精确动态分析计算是一个大规模的刚性常微分方程组的求解问题。
The accurate dynamic analysis of a lot of chemical processes is a large scale problem of solving an array of combined stiff ordinary differential equations.
通过引入梁的边界条件，建立起一组刚性地基梁关于地基反力和挠度的线性互补方程。
Introducing the boundary conditions of the beam, a set of linear complementary equations is established of the beam on a rigid foundation in terms of foundation reactions and deflections.
解决了微分方程组的刚性问题，提出了混合裂解反应动力学模型。
The stiffness problem of differential equation set has been solved and a kinetic model of simultaneous pyrolysis reaction has been proposed.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
Then the dual integral equations of the venical vibration of a rigid circular plate on a fluid-saturated poroelastic half space are established according to the mixed boundary permeability condit.
提出了刚性地基梁非线性分析的积分方程法。
An integral equation method is presented in this paper for the nonlinear analysis of beams on a rigid foundation.
差分方程隐式部分采用了LU- SGS方法以避免矩阵运算，对化学反应和振动能量源项采用预处理矩阵以解决刚性问题。
The LU-SGS method is used in implicit part of the difference scheme to avoid matrix operations. The preconditioning technique is used for solving stiffness problem.
采用积分变换与积分方程研究了单层饱和地基上刚性基础的竖向振动问题。
The vertical vibration of a rigid circular footing resting on a single-layered saturated ground is studied by employing the method of Hankel transform and integral equation.
刚柔耦合多体机械系统动力学微分方程组具有刚性和高频振荡的特点。
The dynamical equations of rigid flexible coupling multibody systems have characters of stiffness and high frequency oscillation.
文中从刚性抗滑桩空间受力状态的静力平衡条件出发，推导了若干组静力平衡方程式。
The paper deduces several groups of static equations depending upon the space static balance conditions of the rigid piles against sliding.
将这些方程组简化后，用于刚性明挖基础的计算，结果基底竖向应力和目前通行的计算方法完全相同。
Simplifing the equations and using them to the calculations of rigid foundations, the results of vertical pressure stresses are same completely with the traditional theory.
通过理论分析，推导了具有半刚性连接框架柱的一般屈曲方程。
Based on the theoretical analysis, the general buckling equation of semi-rigid frame column is deduced.
考虑到混合边界值条件下，对偶积分方程的刚性扭转振动建立了横观各向同性饱和地基上圆板的休息。
Considering the mixed boundary-value conditions, the dual integral equations of torsional vibrations of a rigid circular plate resting on transversely isotropic saturated soil were established.
本文讨论刚性微分方程混合方法的误差特性。
In this paper, we discuss the error behaviour of hybrid methods for stiff differential equations.
将刚性圆盘单元和空间梁单元组集推导出了柔性转子系统的动力学控制方程及其系数矩阵的解析表达式。
By combining rigid disk element and 3-d beam element the dynamical control equation of flexible rotor system and its analysis formula of coefficient matrix are developed.
用能量法推导了刚性铰支大梁上拱和上翘曲线的一般方程。进一步探讨了弹性支座对上拱和上翘曲线的影响，并得出了相应的关系式。
This paper gives a general equation for the ideal curve of crane beam with joint support, then further discusses the effect of elastic support on the curve, and gives the complement equation.
该方程组刚性+，可采用吉尔算法求解。
These equations are stiff, but a Gear algorithm can be adapted to it.
将这种新的格式构造方法应用于带有源项及刚性源项的守恒律方程，得到了相应的时空守恒格式。
This new constructing approach is applied to conservation laws with source terms or stiff source terms, and the corresponding space time schemes are obtained.
数值试验结果表明，RTFHM对线性和非线性的非刚性延迟微分方程都是有效的。
Numerical experiments show that RTFHM is efficient for solving linear and nonlinear non-stiff delay differential equations.
本文通过求解灾变磁场作用下刚性直圆管脉动流的运动方程，得到了它的分析解。
In this paper, the analytic solution of the dynamical equation of the pulsatile flow in a rigid round tube under the low-frequency varying magnetic field is obtained.
建立三维湍流模型，在水流控制方程中加入植被阻力项和植被密度项来考虑刚性植物对水动力特性和泥沙输运特性的影响。
This paper proposes a 3d turbulence model, introducing vegetation density and drag force to the control equations of water flow with vegetation.
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