188
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

A new mathematical procedure for simultaneous identification of the nonlinear damping and restoring characteristics based on acceleration measurements

Pages 426-435 | Received 27 Nov 2013, Accepted 03 Jul 2014, Published online: 01 Aug 2014

References

  • Iourtchenko DV, Dimentberg MF. 2002. In-service identification of non-linear damping from measured random vibration. J Sound Vibration. 255:549–554.
  • Iourtchenko DV, Duval L. Dimentberg MF. 2000. The damping identification for certain SDOF systems, developments in theoretical and applied mechanics. Proceedings of SECT AM XX Conference, Auburn University.
  • Jang TS. 2011. Non-parametric simultaneous identification of both the nonlinear damping and restoring characteristics of nonlinear systems whose dampings depend on velocity alone. Mechanical Syst Signal Process. 25(4):1159–1173.
  • Jang TS. 2013. A method for simultaneous identification of the full nonlinear damping and the phase shift and amplitude of the external harmonic excitation in a forced nonlinear oscillator. Comput Struct. 120(15):77–85.
  • Jang TS. 2014. Uniqueness and stability of the simultaneous detection of the nonlinear restoring and excitation of a forced nonlinear oscillation. Appl Math Comput. 228:234–239.
  • Jang TS, Baek HS, Choi HS, Lee SG. 2011. A new method for measuring nonharmonic periodic excitation forces in nonlinear damped systems. Mechanical Syst Signal Process. 25(6):2219–2228.
  • Jang TS, Baek HS, Han SL, Kinoshita T. 2010. Indirect measurement of the impulsive load to a nonlinear system from dynamic responses: inverse problem formulation. Mechanical Syst Signal Process. 24(6):1665–1681.
  • Jang TS, Baek HS, Kim MC, Moon BY. 2011. A new method for detecting the time-varying nonlinear damping in nonlinear oscillation systems: nonparametric identification. Math Probl Eng. 2011: 749309.10.1155/2011/749309
  • Jang TS, Choi HS, Han SL. 2009. A new method for detecting nonlinear damping and restoring forces in nonlinear oscillation systems from transient data. Int J Nonlinear Mech. 44(7): 801–808.
  • Jang TS, Han SL, Kinoshita T. 2010. An inverse measurement of the sudden underwater movement of the sea-floor by using the time-history record of the water-wave elevation. Wave Motion. 47(3):146–155.
  • Jang TS, Kwon SH, Han SL. 2009. A novel method for non-parametric identification of nonlinear restoring forces in nonlinear vibrations from noisy response data: a conservative system. J Mechanical Sci Technol. 23(11):2938–2947.
  • Jang TS, Kwon SH, Lee JH. 2010. Recovering the functional form of the nonlinear roll damping of ships from a free-roll decay experiment: an inverse formulism. Ocean Eng. 37(14–15):1337–1344.
  • Jang TS, Sung HG, Park J. 2012. A determination of an abrupt motion of the sea bottom by using snapshot data of water waves. Math Probl Eng. 2012: 472575. doi:10.1155/2012/472575
  • Liang YC, Feng DP, Cooper JE. 2001. Identification of restoring forces in non-linear vibration systems using fuzzy adaptive neural networks. J Sound Vibration. 242:47–58.
  • Spina D, Valente C, Tomlinson GR. 1996. A new procedure for detecting nonlinearity from transient data using the Gabor transform. Nonlinear Dyn. 11:235–254.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.