Modeling of System Energy of Rock Under Harmonic Vibro-Impact

Haige WANG, Guodong JI, Liu CUI, Siqi LI, Tie YAN, Zihe CHEN

Abstract


Hamiltonian function is proposed and the modeling of system energy of rock under harmonic vibro-impact is undertaken in this study. The modeling includes two aspects, namely, energy equation of rock system with no damping and the one with damping. Also, the results of numerical simulation are presented. Four main control parameters are considered, including natural frequency of rock, impact frequency, impact force, damping coefficient.
It is confirmed that the system energy of rock will increase with the increase of natural frequency impact frequency and impact force. While impact force, damping coefficient and stiffness of rock will mainly decide the vibration amplitude of system energy.


Keywords


Harmonic vibro-impact; System energy; Hamiltonian function; Numerical simulation

Full Text:

PDF

References


Aguiar, R. R., & Weber, H. I. (2007). Development of a vibroimpact device for the resonance hammer drilling. Proceedings of the XII International Symposium on Dynamic Problems of Mechanics.

Batako, A. D., Babitsky, V. I., & Halliwell, N. A. (2004). Modelling of vibro-impact penetration of self- exciting percussive-rotary drill bit. Journal of Sound and Vibration, 271, 209-225.

Cai, C., Wu, K. S., & Lian, D. (2015). Study of rock-breaking mechanism under single-tooth impact. Rock and Soil Mechanics, 36(6), 1659-1675.

Chang, D. Y., Li, G. S., & Shen, Z. H. (2011). The stress field of bottom hole in deep and ultra-deep wells. ACTA PETROLEI SINICA, 32(4), 697-703.

Cheng, Y. X., Li, G. S., & Wang, H. Z. (2014). Phase control of wellbore fluid during supercritical CO2 jet fracturing. Acta Petrolei Sinica, 35(6), 1182-1187.

Li, S. Q., Yan, T., & Li, W. (2015). Modeling of vibration response of rock by harmonic impact. Journal of Natural Gas Science and Engineering, 23, 90-96.

Li, W. (2013a). Rock response mechanism and rock breaking test analysis for impact of high frequency vibration drilling tool. Petroleum Drilling Techniques, 41(6), 25-28.

Li, W., Yan, T., & Li, S. Q. (2013b). Rock fragmentation mechanisms and an experimental study of drilling tools during high-frequency harmonic vibration. Petroleum Science, 10(2), 205-211.

Liu, H., Zhang, W. H., & Zhu, J. H. (2013). Structural topology optimization and frequency influence analysis under harmonic force excitations. Chinese Journal of Theoretical and Applied Mechanics, 45(4), 588-597.

Ostasevicius, V., Gaidys, R., & Rimkeviciene, J. (2010). An approach based on tool mode control for surface roughness reduction in high-frequency vibration cutting. Journal of Sound and Vibration, 329, 4866-4879.

Pavlovskaia, E., David, C. H., & Wiercigroch, M. (2013). Modelling of high frequency vibro-impact drilling. International Journal of Mechanical Sciences, 91, 110-119.

Wiercigroch, M. (2010). Resonance enhanced drilling: method and apparatus. US Patent: 2010/ 319994.

Wiercigroch, M., Krivtsov, A. M., & Wojewoda, J. (2008). Vibrational energy transfer via modulated impacts for percussive drilling. Journal of Theoretical and Applied Mechanics, 46(3), 715-726.

Zhao, J. (2014). A theoretical model and experiment of brittle rock impacted by particles. Journal of China University of Mining & Technology, 43(6), 1108-1112.




DOI: http://dx.doi.org/10.3968/10263

Refbacks

  • There are currently no refbacks.


Copyright (c) 2018 Siqi LI

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Share us to:   

Reminder

  • How to do online submission to another Journal?
  • If you have already registered in Journal A, then how can you submit another article to Journal B? It takes two steps to make it happen:

1. Register yourself in Journal B as an Author

  • Find the journal you want to submit to in CATEGORIES, click on “VIEW JOURNAL”, “Online Submissions”, “GO TO LOGIN” and “Edit My Profile”. Check “Author” on the “Edit Profile” page, then “Save”.

2. Submission

  • Go to “User Home”, and click on “Author” under the name of Journal B. You may start a New Submission by clicking on “CLICK HERE”.

We only use three mailboxes as follows to deal with issues about paper acceptance, payment and submission of electronic versions of our journals to databases:
caooc@hotmail.com; aped@cscanada.net; aped@cscanada.org

 Articles published in Advances in Petroleum Exploration and Development are licensed under Creative Commons Attribution 4.0 (CC-BY). 

ADVANCES IN PETROLEUM EXPLORATION AND DEVELOPMENT Editorial Office

Address:1055 Rue Lucien-L'Allier, Unit #772, Montreal, QC H3G 3C4, Canada.

Telephone: 1-514-558 6138
Website: Http://www.cscanada.net
Http://www.cscanada.org
E-mail:office@cscanada.net;  office@cscanada.org

Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures