二阶振动系统的解耦条件及算法研究

沈继红;胡波;王侃;金鑫

振动与冲击 ›› 2012, Vol. 31 ›› Issue (18) : 89-92.

PDF(1044 KB)
PDF(1044 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (18) : 89-92.
论文

二阶振动系统的解耦条件及算法研究

  • 沈继红1,胡波2,王侃1,金鑫2
作者信息 +

DecouplinDecoupling condition and algorithm of quadratic vibration system

  • SHEN Ji-hong1, HU Bo2, WANG Kan1 , JIN Xin2
Author information +
文章历史 +

摘要

针对二阶振动系统的解耦问题,给出了二阶振动系统可解耦的条件及其相应证明。针对可解
耦的二阶振动系统,提出同谱构造解耦算法。数值试验中验证了解耦条件的正确性,实现了一个二自由度
质量弹簧系统的同谱解耦,并与近似解耦算法的谱特征进行了对比。结果表明:解耦条件判断简便且适合
所有质量矩阵非奇异的二阶振动系统,同谱构造解耦算法实现完全同谱。

Abstract

In order to solve the decoupling problem of quadratic vibration system,giving the condition of diagonalizable
quadratic vibration system and its corresponding proof, and isospectral construction decoupling algorithm is proposed in this
paper. Numerical experiment is presented to verify accuracy of decoupling condition and realize isospectral decoupling of a
two-degree-of-freedom mass-spring system and compare its eigenvalues with decoupling approximation. The results show that
the decoupling method is simple and the decoupled system is isospectral as original system, and decoupling condition adapted to
all the quadratic vibration system with nonsingular leading coefficient.

关键词

二阶振动系统 / 解耦条件 / 同谱解耦 / 质量弹簧系统

Key words

quadratic vibration system / decoupling condition / isospectral decoupling / mass-spring system

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导出引用
沈继红;胡波;王侃;金鑫. 二阶振动系统的解耦条件及算法研究[J]. 振动与冲击, 2012, 31(18): 89-92
SHEN Ji-hong; HU Bo;WANG Kan; JIN Xin. DecouplinDecoupling condition and algorithm of quadratic vibration system[J]. Journal of Vibration and Shock, 2012, 31(18): 89-92

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