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Research Papers

Maxwell–Voigt and Maxwell Ladder Models for Multi-Degree-of-Freedom Elastomeric Isolation Systems

[+] Author and Article Information
Sudhir Kaul

Department of Engineering and Technology,
Western Carolina University,
Cullowhee, NC 28723
e-mail: skaul@wcu.edu

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 11, 2013; final manuscript received January 4, 2015; published online February 13, 2015. Assoc. Editor: Thomas J. Royston.

J. Vib. Acoust 137(2), 021021 (Apr 01, 2015) (9 pages) Paper No: VIB-13-1397; doi: 10.1115/1.4029538 History: Received November 11, 2013; Revised January 04, 2015; Online February 13, 2015

This paper presents a model for an elastomeric isolation system consisting of a three degree-of-freedom (DOF) rigid body assembled to a frame through multiple isolators. Each elastomeric isolator is either represented by a Maxwell–Voigt (MV) model consisting of two Maxwell elements or by a Maxwell ladder (ML) model consisting of three Maxwell elements. The MV models and the ML models are characterized by using experimental data that are collected at multiple excitation frequencies. The characterized models are evaluated and used to simulate the performance of the isolation system. The models developed in this paper are capable of representing frequency-dependent behavior that is exhibited by elastomeric isolators and the overall isolation system. Furthermore, the proposed model is capable of directly associating the behavior of the isolation system with physical and geometrical properties of each isolator. The proposed model is expected to be a useful tool for the analysis and design optimization of elastomeric isolation systems. Most of the isolation systems in practical applications exhibit multiple DOF, this model will be particularly useful in such applications since it does not constrain motion to translation only. This is a shortcoming of the models in the current literature that the proposed model attempts to overcome.

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Figures

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Fig. 1

MMV model—3DOF system

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Fig. 2

ML model—3DOF system

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Fig. 3

Experimental setup and fixture—isolator data collection

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Fig. 4

Front isolator—vertical data

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Fig. 5

Rear isolator—fore-aft data

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Fig. 6

Front isolator—force-deflection—simulation

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Fig. 7

Rear isolator—force-deflection—simulation

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Fig. 8

Displacement time history—vertical—CG

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Fig. 9

Rotational displacement—CG

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Fig. 10

Storage modulus comparison—front isolator

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Fig. 11

Loss modulus comparison—front isolator

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Fig. 16

Rear isolator—time response (fore-aft)—validation

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Fig. 15

Rear isolator—force-deflection (fore-aft) at 12 Hz—validation—ML model

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Fig. 14

Rear isolator—force-deflection (fore-aft) at 12 Hz—validation—MMV model

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Fig. 13

Front isolator—force-deflection (vertical) at 10 Hz—validation—ML model

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Fig. 12

Front isolator—force-deflection (vertical) at 10 Hz—validation—MMV model

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