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Research Papers

Active Absorption of Viscously Damped System With Time Delay

[+] Author and Article Information
Yitshak M. Ram

Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70803

Kumar Vikram Singh

Department of Mechanical and Manufacturing Engineering, Miami University, Oxford, OH 45056

J. Appl. Mech 75(5), 051005 (Jul 02, 2008) (4 pages) doi:10.1115/1.2936926 History: Received March 28, 2007; Revised March 31, 2008; Published July 02, 2008

In general, it is not possible to obtain total motion absorption of a certain degree of freedom in a harmonically excited damped system by passive control. This paper presents a method of obtaining total absorption in viscously damped system by active control, including time delay, which is unavoidable in digital controlled system. The control is applied on one degree of freedom and the absorption is achieved at another point. This study is carried out by both complex and real analyses. The necessary and sufficient condition for obtaining total absorption is given. Examples demonstrate the various results.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figure 4

The axially vibrating rod

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Figure 3

Absolute values of the frequency response function at x3 for (a) the uncontrolled system and (b) the controlled one

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Figure 2

The actively controlled system of Example 1

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Figure 1

Illustrative systems

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