DecouplinDecoupling condition and algorithm of quadratic vibration system

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (18) : 89-92.

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DecouplinDecoupling condition and algorithm of quadratic vibration system

SHEN Ji-hong1, HU Bo2, WANG Kan1 , JIN Xin2

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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.

Key words

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

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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