Based on the theory of modal superposition and power series expansion, a modal superposition method for the sensitivity analysis of FRF is proposed in this paper.
基于模态展开和幂级数展开原理，提出了一种频响函数灵敏度分析的模态展开法。
Based on the modal superposition and power series expansion when the considered eigenvectors lie in the middle frequency range,the high and low modal can be truncated at the same time.
特征值与特征向量灵敏度分析在振动控制、结构动力优化设计等邻域中有有着广泛的应用本文根据模态展开和幂级数展开原理，导出了一种可用于特征向量组灵敏度分析的幂级数展开法当所考察的特征向量组处于系统的低频区时，应用该方法可对系统中、高阶模态实施模态截断和加速；而当所考察的特征向量组处于系统的中频区时，应用该方法可对系统的高阶模态和低阶模态同时实施截断和加速数值示例计算表明，本文提出的方法是可行的
The method of the power series expansion for Abelian integral by Mathematica program is used to prove that there are two limit cycles with arbitrary location.
采用将Abel积分进行幂级数展开的方法,借助于Mathematica编程计算,证明了其Poincaré分支可以产生位置具有任意性的两个极限环。
Making use of derivative rule of complex functions,how to compute a foot point latitude in ellipsoidal geodesy by Taylor expansion is described.
针对子午线弧长反解计算过于繁琐的问题,利用复合函数的求导法则,变换变量进行幂级数展开,给出了通项公式,利用Hermite插值原理推导了各参数,借助Mathematica计算机代数系统,得出了这些公式用偏心率e表示的幂级数表达式。
Use Differential Equation to Extract Power SeriesUrfolding Pattern of Binomial (1+x)α;
用微分方程求二项式(1+x)~α的幂级数展开式
Studying Path Intergration Short-time Propgator of the Periodic Damp Harmonic Oscillator by Power Series Expansion Method
幂级数展开法计算周期阻尼振子路径积分短时传播子
Studies on Power Series Expansion Method and Extend Riccati Mapping Approach in Nonlinear Physics Equations;
幂级数展开法与扩展的Riccati方程映射法在非线性物理方程中的应用研究
The extended representations of power progression is only an approximate expression, but it is adequate for engineering use.
幂级数的展开式虽是一个近似的式子,但其精确性巳能满足工程上的要求。
An exploration of the teaching of power series in higher mathematics;
巧设问题,拓展学生的数学思维———对《高等数学》中幂级数教学的探索
Applications of Geometric Series to Power Series;
一类等比级数在幂级数问题中的应用
Mathematical Recreation(Ⅴ):Generalized Fibonacci's Number and Sum of Power Series
数学娱乐(五)——推广Fibonacci数列与幂级数和
The general solution of (5.122) is an arbitrary linear combination of a series of even powers and a series of odd powers.
（5．122）的通解是一个偶次幂级数和一个奇次幂级数的任意线性组合。
THE NECESSARY CONDITION OF REARRANGEMENTS OF THE COEFFICIENTS OF A POWER SERIES FOR THE INVARIANCE OF TYPE
幂级数系数重排使型不变的必要条件
Padé Approximation of Power Series with Stochastic Variable Coefficient;
随机变量系数幂级数的Padé逼近
Two Sided Power Series and Singular Point of the K-analytic Function
K-解析函数的双边幂级数与孤立奇点
The Series sum from n=1 to ∞(x~n) Applies in Solving Summation Function and Summation of Series
关于幂级数在求和函数及级数求和方面的应用
Vector-valued Random Power Series on the Unit Ball of C～n;
C～n单位球上的向量值随机幂级数
Little α-Bloch Spaces and Random Power Series;
单位球上小α-Bloch空间与随机幂级数
SOME RINGS OF GENERALIZED POWER SERIES AND THEIR K_0 GROUPS
三类广义幂级数环及其K_0群(英文)
The act of raising a quantity to a power.
取幂升高幂级的行为
Study of the Theory of Power Series Expansion in Chinese Traditional Mathematics;
中国传统数学思想对幂级数理论的研究
The Solution of the Interlace Series Type Linear Even Differential Equation of Contain Negative One Number of Times Power Function;
负线性幂函数交错级数型线性齐次微分方程