A High Efficient Method for Calculating Complex Frequency of the Motorized Spindle

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (19) : 164-168.

论文

A High Efficient Method for Calculating Complex Frequency of the Motorized Spindle

MAO Wengui 1, 2 LIU Guiping 1 HAN Xu 1 GUO Weiqi 1 LIN Lusheng 1

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Abstract

This paper presents a high efficient method for calculating complex frequency of the motorized spindle supported on anisotropic bearings. Directed against the special structure of the motorized spindle, the eight dynamic coefficients are used to describe the nonlinear oil- film force. The status vector of typical unit was modified．Generally, the characteristic polynomial for a complex rotor-bearing system can be obtained by rearranging the calculations performed in an improved Riccati transfer matrix program. This can derive the characteristic polynomial for a complex rotor-bearing system. The modeling procedures are identical for the rotor and bearing, including the effects of gyroscopic, damping, and any or all destabilizing influences which are linearized in the usual manner. Complex frequency can be estimated and stability predicted by argument principle with greater efficiency and without missing any modes. The complex frequency calculating problem is formulated as an optimization problem. Bi-group evolution strategy is used to search for the critical speed of the high-speed spindle with the characteristic polynomial. Finally, the present method is applied to a typical motorized spindle with eight main shaft elements. The lowest five complex frequency are obtained and compared with Muller theoretical method. The results show that the present method has higher efficiency than Muller theoretical method.

Key words

Motorized spindle / Complex Frequency / Improved Riccati transference matrix / Argument principle / Bi-group evolution strategy

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MAO Wengui; LIU Guiping HAN Xu GUO Weiqi LIN Lusheng . A High Efficient Method for Calculating Complex Frequency of the Motorized Spindle [J]. Journal of Vibration and Shock, 2014, 33(19): 164-168