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Technical Brief

Dynamic Modeling and Spectrum Analysis of Macro–Macro Dual Driven System

[+] Author and Article Information
Hanwen Yu

School of Mechanical Engineering,
Shandong University,
Ji'nan 250061, China
e-mail: sducnc102@hotmail.com

Xianying Feng

School of Mechanical Engineering,
Shandong University,
Ji'nan 250061, China
e-mail: fxying@sdu.edu.cn

1Corresponding author.

Manuscript received January 23, 2015; final manuscript received December 8, 2015; published online February 5, 2016. Assoc. Editor: Daniel J. Segalman.

J. Comput. Nonlinear Dynam 11(4), 044505 (Feb 05, 2016) (5 pages) Paper No: CND-15-1022; doi: 10.1115/1.4032245 History: Received January 23, 2015; Revised December 08, 2015

This paper designs a preload adjustable rotary nut ball screw dual-driven micro feed system, due to the elastic property of the feed system has great influence on its own frequency–response characteristics, which can be identified by analyzing the amplitude relationship between the torque input signal and the acceleration output signal. In order to get the structural dynamic of the dual-driven servomechanism, which is first modeled through lumped mass method, the frequency–response characteristics are calculated using the Lagrange equation and the state-space method. Finally, the frequency–response characteristics of a macro–macro dual-driven and single-driven systems are compared via numerical analysis, and the influence of changes in the preload, torsional rigidity, and table's total mass on the frequency–response characteristics are studied.

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Figures

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Fig. 1

Mechanical components of the rotary nut ball screw dual drive

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Fig. 2

Modeling of the feed double-drive system with a lumped parameter system

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Fig. 3

(a) Frequency responses of the dual-driven system acceleration in 0.5 of screw length. (b) Frequency responses of the dual-driven system acceleration in 0.1 or 0.9 of screw length.

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Fig. 4

Frequency response characteristics of the table acceleration in the case of single and dual driven system

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Fig. 5

(a) The resonant frequency shifts in the first mode as the preload of the ball screw varies. (b) The resonant frequency shifts in the second mode as the preload of the ball screw varies. (c) The resonant frequency shifts in the third mode as the preload of the ball screw varies.

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Fig. 6

Effect of torsional rigidity variation on the table acceleration

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Fig. 7

Effect of table mass variation on the acceleration

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