The bifurcation and chaos of the cracked rotor system are researched by employing the numerical integration method.
采用数值积分方法，对裂纹转子的分岔与混饨特性进行了研究。
Then, the generalized stiffness matrix and load vector in the equilibrium equations are formulated by using the virtual work principle, and the numerical integration method is discussed.
然后，由虚功原理推导出了整体平衡方程中的广义刚度矩阵和荷载向量的具体表达式，并对其数值积分方法进行了讨论。
Time precision integration method is a mature numerical algorithm to solve the ordinary differential equation.
精细积分法是求解常微分方程的一种成熟的数值算法。
Three methods for gravity field recovery are mainly studied from the views of observation equation, (1) numerical differential method, (2) energy balance approach, (3) numerical integration method.
从建立观测方程的角度来说，主要研究了三种恢复地球重力场的方法：(1)数值微分法，(2)能量守恒法，(3)数值积分法。
A numerical example is given, the results are compared with direct integration method and precision integration method. It is quite effective for computing the structural dynamic response.
文中给出一个算例，其数值结果与直接积分法、精细积分法作了比较，文中方法对结构动力响应计算是十分有效的。
A high efficient direct integration method is proposed for evaluating the variation effect of nonlinear numerical simulation results of geomechanics subject to multi-random parameters.
提出了一种用于评估多参数随机变异情况下岩土力学非线性数值模拟结果可靠性的多维高效直接积分型随机分析方法。
A new numerical method on rill erosion model was proposed by combining the wavelet collocation method with the precise integration method, which is called wavelet precise integration method (WPIM).
将小波配置方法和精细积分方法相结合，提出了一种对水土侵蚀模型进行数值分析的新方法——小波精细积分法。
The precise integration method proposed for linear-invariant dynamic system can give precise numerical results approaching to the exa ct solution at the integration points.
对线性定常结构的动力系统提出的精细积分法，能得到在数值上逼近于精确解的结果。
It is based on the numerical integration and matrix least square method.
它是基于数值积分和矩阵最小二乘法的数值方法。
The results indicate that the new path integration method is efficient in the studying the probability distribution of ship nonlinear roll motion from the numerical simulation results.
数值模拟的结果表明新的路径积分法对研究船舶非线性横摇运动概率密度分布是十分有效的。
A new asymptotic numerical method for nonlinear dynamic equations was proposed. In this method, the homotopy perturbation method was improved by using the precise integration technique.
利用精细积分技术对同伦摄动方法进行了改进，构造了一种求解非线性动力学方程的新的渐近数值方法。
Transient stability analysis based on numerical integration method is applied by solving the dynamic equations, so models of power system are required.
数值积分法通过求解电力系统的动态方程组分析暂态稳定性，因此需要建立电力系统的动态数学模型。
The paper also investigates the direct numerical integration method to calculate the reliability of struacture and develops a computer program.
并对直接积分法在系统可靠度计算中的应用进行了研究，编制了相应的分析程序。
The ordinary numerical integration method has only been adopted for the analysis of the stability of steel members so far due to its limitations of handling technology and its slow computative speed.
目前，数值积分法在结构分析中的应用本质上没有突破构件的范畴，其主要原因是技术处理存在局限性，计算速度难以使人接受。
Theoretically the numerical solution of Poisson's equation or Laplace's equation plus Neumann boundary condition calculated by the boundary integration method is not unique.
使用边界积分方法求解已知第二类边界条件的拉普拉斯方程或泊松方程时，理论上解是不唯一的。
At present, the common numerical methods are finite difference, finite element, boundary element, integration equation and transmission line method.
目前，解决这类问题的数值方法主要有有限差分法、有限元法、边界元法、积分方程法、传输线法等。
This paper deals with the use of the curved finite difference scheme and two-step numerical integration method to solve the vibration problem of thin plates.
本文用曲线差分及两步数值积分法联合求解薄板的振动问题。
Numerical examples demonstrate that the proposed method can obviously increase computation efficiency and has higher accuracy in both kinds of integration regions.
数值算例结果表明该法能够明显提高计算效率，在显式积分区域和精细积分区域都有很高的精度。
In the paper, a criterion is also presented to determine the numerical stability of any integration method solving complex nonlinear problems from engineering practice.
文中建议了一种判定工程实际问题之非线性数值积分稳定性的实用办法，并成功地应用于重载列车动力学分析。
By the integration of numerical result and CNC programming, a new method which advances the efficiency at the CNC machining of arced lath tool is provided.
通过数值解和数控编程结合，为圆弧车刀在数控加工中提高加工效率提供了一种新的办法。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
The selection of numerical integration method of precise direct integration is discussed in this paper.
讨论了精细直接积分法中积分方法选择问题。
The precision time step integration method (PIM) is used for the torsion vibration numerical simulation of diesel engine cracked shafting first, and the dynamic stiffness caused by crack is analyzed.
论文首次运用精细时程积分法(PIM)对柴油机裂纹轴系扭转振动进行时域数值模拟，并对裂纹所导致时变刚度的动态性质作了分析。
The precise integration method of two end boundary conditions is adopted to realize the high-precision numerical solution of the question by means of computer program with MATLAB.
运用两端边值问题的精细积分法，通过MATLAB语言编制计算程序求解出相应问题的高精度数值解。
The model lays a foundation for applying the technologies of homogenized precise integration and building a semi-analytical and semi-numerical method with high efficiency and accuracy.
该模型的建立为应用新型齐次扩容精细积分技术，构建一种高效率和高精度的半解析半数值方法奠定了基础。
Finite volume method is a numerical method that discretizes the conservation laws in the integration form.
有限体积法是一种离散积分形式守恒律的数值方法。
Finite volume method is a numerical method that discretizes the conservation laws in the integration form.
有限体积法是一种离散积分形式守恒律的数值方法。
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