First,a complex shift value is added into governing equations,and a modal iterative formula is obtained with a generalized power series.
首先对控制方程进行移频处理,利用广义幂级数展开式获得模态迭代公式,并利用迭代结果与各阶振型表示复振型导数;然后把系统的广义动柔度矩阵表示为已知的低阶模态与截断的高阶模态之和,高阶模态部分采用多个矩阵多项式与一个广义幂级数的乘积表示,并利用系统的低阶模态和系统矩阵进行计算;各阶移频值表示为相应的移频系数与复特征值的乘积,它们仅与最低阶模态移频值的模和本阶模态的单位复特征值有关,而最低阶模态的移频系数通过精度分析获得。
This dissertation, consisting of seven chapters, is concerned with the problem of polynomial extension of rings and the properties of generalized power series rings and modules.
本文研究环的多项式扩张理论以及广义幂级数环模的性质。
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)
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
Global Influence Analysis of Log-generalized-power-Weibull Regression Models
对数幂广义威布尔回归模型的全局影响分析
Growth of the Generalized Dirichlet Series
广义Dirichlet级数的增长性
Applications of Geometric Series to Power Series;
一类等比级数在幂级数问题中的应用
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
A Goodness of Fit Test for General Power Law Process
广义幂律过程的一个拟合优度检验法
The Generalized MP Inverse of Category and Idempotency Projections;
范畴中广义Moore-Penrose逆与幂等算子研究
The Properties of Generalized Schur Complement for Partitioned Idempotent Matrix
分块幂等矩阵广义Schur补的性质
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
A Promotion to the Power Transformation Containing Shift Parameters;
一类带有漂移参数的幂变换族的推广
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
The act of raising a quantity to a power.
取幂升高幂级的行为
The Convergence-Divergence and Estimation Formula of Generalized p-Series;
广义P-级数的敛散性及其估值公式