Vibration Suppression and Defect Detection Schemes in 1D Linear Spring-Mass Systems
- PDF / 4,428,336 Bytes
- 15 Pages / 595.276 x 790.866 pts Page_size
- 0 Downloads / 153 Views
ORIGINAL PAPER
Vibration Suppression and Defect Detection Schemes in 1D Linear Spring‑Mass Systems Neil Jerome A. Egarguin1,2 · Taoufik Meklachi3 · Daniel Onofrei1 · Noam D. Harari‑Arnold1 Received: 30 October 2018 / Accepted: 6 April 2019 © Krishtel eMaging Solutions Private Limited 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. Keywords Vibration suppression · Cloaking · Defect detection · Spring-mass system · Laplace transform
Introduction For many decades, spring-mass systems have been the subject of substantial research efforts due its practical relevance in almost all engineering disciplines, computer graphics and the medical field. Spring-mass systems are found in structures isolation [15, 17], intelligent material systems, and novel devices with actuators and dampers [1, 3, 4, 19]. Furthermore, these systems are preferred in computer graphics and animation to simulate the motion of cloth and * Neil Jerome A. Egarguin [email protected] 1
Department of Mathematics, University of Houston, Houston, TX, USA
2
Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, Los Baños, Laguna, Philippines
3
School of Science, Engineering, and Technology, Penn State University Harrisburg, Middletown, PA, USA
hair, instead of a more physically-consistent model derived from continuum mechanics using finite elements method. In such physics-based animation modeling, high accuracy is not always necessary and spring-mass systems allow
Data Loading...
