1) Taylor transform method
Taylor变换法
1.
Considering the nonlinear oil-film force, a nonlinear dynamic model of rotor system was established, with Taylor transform method introduced to transform the original analysis model of rotor vibration system into a set of algebraic equations in discrete domain and analyze nonlinearly the dynamic characteristics of the 1st-span rotor vibration system.
在考虑了非线性油膜力的基础上,建立了转子系统的非线性动力学模型,引入了求解非线性微分方程的Taylor变换法,并将转子振动系统原分析模型变换为离散域内的代数方程组,采用Taylor变换法,对第一跨转子振动系统动力学特性进行非线性分析,求得转子系统的响应,找出转子系统的分岔规律,用分岔图、频谱图、庞加莱映射、轴心轨迹等多种方法表现了转子系统的非线性现象,结果表明考虑油膜力影响后,转子系统的运动状态随转速增加由周期至二倍周期再至周期再至拟周期,或者经周期运动直接至混沌运动
2.
By the use of Taylor transform method, the original analysis model of vibration system is transformed to a set of algebraic equations in discrete domain.
引入了求解非线性微分方程的 Taylor变换法 ,将振动系统原分析模型变换为离散域内的代数方程组 ,建立了估计系统质量、阻尼和刚度矩阵的方程。
2) Taylor transform
Taylor变换
1.
Taylor transform method is introduced to solve nonlinear differential equation.
引入了求解非线性微分方程的Taylor变换法,建立了识别结构系统动力学边界条件参数(包括边界质量,刚 度和阻尼)的方程。
4) Taylor series method
Taylor级数法
1.
An implicit Taylor series method for simulation of power system transient;
基于隐式Taylor级数法的电力系统暂态稳定计算
2.
Based on the fast higher order Taylor series method for transient stability simulation and combined with the trapezoidal rule of implicit integration, an implicit Taylor series method for transient stability simulation is received.
文中提出了一种可调谐的隐式Taylor级数法,并针对其数值精度做进一步改进,得到了全可调谐的隐式Taylor 级数法。
3.
Since the higher-order Taylor series method was introduced for power system stability, the research of transient stability simulation using the Taylor series method was never interrupted.
自高阶Taylor级数法引入暂态稳定计算以来,对基于Taylor级数法的暂态稳定快速仿真算法的研究工作一直没有中断。
5) Taylor's power law
Taylor幂法则
6) Taylor algorithm
Taylor算法
1.
In order to overcome the effect of the non-line-of-sight error and meet the accuracy requirement, the cooperative locating algorithm is used to suppress the non-line-of-sight errors by combining Taylor algorithm with the weighted-least-square algorithm which uses the emendation factor,.
为了克服NLOS误差的影响并得到满足室内定位的精度要求,提出将带校正因子的WLS算法和Taylor算法相结合,通过协同定位来抑制非视距误差。
补充资料:Radon变换和逆Radon变换
Radon变换和逆Radon变换
X线物理学术语。CT重建图像成像的主要理论依据之一。1917年澳大利亚数学家Radon首先论证了通过物体某一平面的投影重建物体该平面两维空间分布的公式。他的公式要求获得沿该平面所有可能的直线的全部投影(无限集合)。所获得的投影集称为Radon变换。由Radon变换进行重建图像的操作则称为逆Radon变换。Radon变换和逆Radon变换对CT成像的意义在于,它从数学原理上证实了通过物体某一断层层面“沿直线衰减分布的投影”重建该层面单位体积,即体素的线性衰减系数两维空间分布的可能性。
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参考词条