Decouplin coupling and algorithm of a quadratic system

作者：Shen, Ji Hong; Hu, Bo; Wang, Kan; Jin, Xin

来源：Journal of Vibration and Shock, 2012, 31(18): 89-92+156.

• Decoupling algorithms
• Decoupling approximation
• Decoupling conditions
• Decoupling problems
• Isospectral decoupling
• Mass spring systems
• Quadratic vibration systems
• Two-degree of freedom

In order to solve the decoupling problem of a quadratic vibration system, the diagonalizable condition for a quadratic vibration system and its corresponding proof were given, and an isospectral construction decoupling algorithm was proposed here. Numerical test was presented to verify the accuracy of decoupling condition and to realize isospectral decoupling of a two-degree-of-freedom mass-spring system and to compare its eigenvalues with decoupling approximations. The results showed thatthe decoupling method is simple and the decoupled system is isospectral as the original system, and the decoupling condition is suitable to all quadratic vibration systems with nonsingular mass matrix.

• 出版日期2012
• 单位哈尔滨工程大学