Title: Frequency analysis of a three-translation vibration isolation device

Authors: Fuliang Zhang; Junchuan Niu; Guoan Zhang; Naijun Liu

Addresses: School of Mechanical Engineering, Shandong University, 17923 Jingshi Road, Jinan 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, China ' School of Mechanical Engineering, Shandong University, 17923 Jingshi Road, Jinan 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, China ' School of Mechanical Engineering, Shandong University, 17923 Jingshi Road, Jinan 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, China ' School of Mechanical Engineering, Shandong University, 17923 Jingshi Road, Jinan 250061, China; Key Laboratory of High Efficiency and Clean Mechanical Manufacture, Ministry of Education, China

Abstract: To solve the problem of multi-dimensional vibration of some equipment effectively, a three-translation vibration isolation device based on a three-translation parallel mechanism is proposed. The kinematics model and the Jacobian matrix of the mechanism are obtained through the homogeneous coordinate transformation method. The dynamics model of the device is established by the Lagrange's equation. The comparison of three results indicates that the assumption of ignoring the mass of rods and sliding blocks is reasonable and the calculative process is correct. Frequency response analysis reflects frequency requirement for the device. The relationships between the maximal natural frequency and the parameters of the vibration isolation device are obtained, which can be used to design the device with special natural frequency, and analyse the frequency changes of some special equipment as well. The result provides guidance for the optimisation design and practical application of the vibration isolation device. [Received 21 July 2016; Accepted 16 November 2016]

Keywords: multi-dimensional vibration isolation; parallel mechanism; natural frequency; natural mode; maximal natural frequency.

DOI: 10.1504/IJMR.2017.085414

International Journal of Manufacturing Research, 2017 Vol.12 No.2, pp.190 - 211

Received: 20 Jul 2016
Accepted: 16 Nov 2016
Published online: 25 Jul 2017 *

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