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Research Papers: Design for Manufacturing

A Concept for a Material That Softens With Frequency

[+] Author and Article Information
J. Prasad

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824-1226prasadji@msu.edu

A. R. Diaz

Department of Mechanical Engineering, Michigan State University, East Lansing, MI 48824-1226diaz@egr.msu.edu

J. Mech. Des 130(9), 091703 (Aug 18, 2008) (7 pages) doi:10.1115/1.2965596 History: Received October 24, 2007; Revised April 14, 2008; Published August 18, 2008

This work presents design concepts to synthesize composite materials with special dynamic properties, namely, materials that soften at high frequencies. Such dynamic properties are achieved through the use of a two-phase material that has inclusions of a viscoelastic material of negative elastic modulus in a typical matrix phase that has a positive elastic modulus. A possible realization of the negative-stiffness inclusion phase is presented. A numerical homogenization technique is used to compute the average viscoelastic properties of the composite. The method and the properties of a composite material designed with it are demonstrated through an example.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

A two-phase periodic composite material. The dashed box shows the fundamental cell.

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Figure 2

Standard linear solid model of viscoelasticity

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Figure 3

A potential arrangement of Constituents B1 and B2 to form Material B

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Figure 4

Two-dimensional lattice of Phase B1

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Figure 5

Representative cell characterizing the (periodic) mixture of Materials A and B

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Figure 6

Components of the effective elastic tensor after mixing A and B

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Figure 7

Phase B as a layered material

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Figure 8

Vibration-isolation system

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Figure 9

The effective complex modulus EC(ω)

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Figure 10

Vibration-isolation device as a spring-damper system

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Figure 11

Spring stiffness (k(ω)) and damping coefficient (δ(ω)) of the vibration-isolation device

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Figure 12

Transmissibility as a function of frequency

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