Correction to: Vibration Suppression and Defect Detection Schemes in 1D Linear Spring-Mass Systems
- PDF / 367,882 Bytes
- 1 Pages / 595.276 x 790.866 pts Page_size
- 34 Downloads / 154 Views
CORRECTION
Correction to: 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
© Krishtel eMaging Solutions Private Limited 2019
Correction to: Journal of Vibration Engineering & Technologies https://doi.org/10.1007/s42417-019-00104-5
The original version of Eqs. (37) and (38) unfortunately contained some typographical errors. The correct equations, as shown below, were the ones used in the relevant simulations in the paper. The corrected Eqs. (37) und (38) are as follows: Equation (37) should be ⎧ 2 2 ⎪ x̃ 1 (s) = −R11 − R1j1 (1 − m1 )s x̃ j1 (s) − R1j2 (1 − m2 )s x̃ j2 (s) 2 −R1j1 − Rj1 j2 (1 − m2 )s x̃ j2 (s) ⎪ ⎪ x̃ j1 (s) = 1 + Rj1 j1 (1 − m1 )s2 , ⎨ ⎪ −R1j2 − Rj1 j2 (1 − m1 )s2 x̃ j1 (s) ⎪ x̃ j (s) = 1 + Rj2 j2 (1 − m2 )s2 ⎪ 2 ⎩
and Eq. (38) should be
( ) ( ) −R11 + s2 (1 − m1 )R21j − (m2 − 1)R21j + (m1 − 1)R11 Rj1 j1 + (m2 − 1)R11 Rj2 j2 + s4 (m1 − 1)(m2 − 1) R21j Rj1 j1 − 2R1j1 R1j2 Rj1 j2 + R11 R2j j + R21j Rj2 j2 − R11 Rj1 j1 Rj2 j2 1 2 1 2 2 1 x̃ 1 (s) = . ( ) 1 + s2 (1 − m1 )Rj1 j1 + (1 − m2 )Rj2 j2 + s2 (m1 − 1)(m2 − 1)(Rj1 j1 Rj2 j2 − R2j j ) 1 2
The original article can be found online at https://doi.org/10.1007/ s42417-019-00104-5. * 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
13
Vol.:(0123456789)
Data Loading...
