Vibration Suppression and Defect Detection Schemes in 1D Linear Spring-Mass Systems

Issue Date

5-2019

Abstract

Purpose: In this paper, we present strategies for active vibration suppression and defect detection in a one-dimensional network of an arbitrary number of coupled spring–mass units connected in series. The choice of a spring–mass system is not arbitrary, as the latter is found in many applications throughout a wide range of fields, for instance in defense detection/shielding studies, biomedical engineering, structures engineering, computer graphics and acoustics among others. Methods: The system of differential equations that model the spring–mass systems was analyzed and solved using the Laplace transform and other analytic tools. The data used in the numerical simulations were obtained by solving the associated forward problems analytically or numerically. Some of the simulations required numerical integration and minimization routines. Results: A scheme for active vibration suppression is given via explicit formulas for the required control forces. The detect defection strategy is given in terms of an explicit formula whenever only the location or mass of a lone defect is unknown and in terms of a minimization procedure whenever more than one information about the defect(s) are unknown. Several numerical simulations were done to validate these results. Conclusion: As we show in the paper, the success of the vibration suppression scheme we developed depends on the speed and accuracy of the intervening active controls. Meanwhile, the defect detection algorithm only requires measurements in a sufficiently large time interval of the longitudinal vibrations in the first mass.

Source or Periodical Title

Journal of Vibrational Engineering and Technologies

ISSN

2523-3920

Volume

8

Page

489-503

Document Type

Article

Physical Description

figures; graphs; table; references

Language

English

Subject

Cloaking, Defect detection, Laplace transform, Spring-mass system, Vibration suppression

Identifier

DOI:10.1007/s42417-019-00104-5.

Digital Copy

yes

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