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Article: Instability leading to coal bumps and nonlinear evolutionary mechanisms for a coal-pillar-and-roof system

TitleInstability leading to coal bumps and nonlinear evolutionary mechanisms for a coal-pillar-and-roof system
Authors
KeywordsAcoustic Emission
Cusp Catastrophe
Instability
Nonlinear
Physical Prediction
Stiffness Ratio
Issue Date2006
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal of Solids and Structures, 2006, v. 43 n. 25-26, p. 7407-7423 How to Cite?
AbstractThis paper studies the unstable mechanisms of the mechanical system that is composed of the stiff hosts (roof and floor) and the coal pillar using catastrophe theory. It is assumed that the roof is an elastic beam and the coal pillar is a strain-softening medium which can be described by the Weibull's distribution theory of strength. It is found that the instability leading to coal bump depends mainly on the system's stiffness ratio k, which is defined as the ratio of the flexural stiffness of the beam to the absolute value of the stiffness at the turning point of the constitutive curve of the coal pillar, and the homogeneity index m or shape parameter of the Weibull's distribution for the coal pillar. The applicability of the cusp catastrophe is demonstrated by applying the equations to the Mentougou coal mine. A nonlinear dynamical model, which is derived by considering the time-dependent property of the coal pillar, is used to study the physical prediction of coal bumps. An algorithm of inversion for determining the parameters of the nonlinear dynamical model is suggested for seeking the precursory abnormality from the observed series of roof settlement. A case study of the Muchengjian coal mine is conducted and its nonlinear dynamical model is established from the observation series using the algorithm of inversion. An important finding is that the catastrophic characteristic index D (i.e., the bifurcation set of the cusp catastrophe model) drastically increases to a high peak value and then quickly drops close to instability. From the viewpoint of damage mechanics of coal pillar, a dynamical model of acoustic emission (AE) is established for modeling the AE activities in the evolutionary process of the system. It is revealed that the values of m and the evolutionary path (D = 0 or D ≠ 0) of the system have a great impact on the AE activity patterns and characters. © 2005 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/151197
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorQin, Sen_US
dc.contributor.authorJiao, JJen_US
dc.contributor.authorTang, CAen_US
dc.contributor.authorLi, Zen_US
dc.date.accessioned2012-06-26T06:18:31Z-
dc.date.available2012-06-26T06:18:31Z-
dc.date.issued2006en_US
dc.identifier.citationInternational Journal of Solids and Structures, 2006, v. 43 n. 25-26, p. 7407-7423en_US
dc.identifier.issn0020-7683en_US
dc.identifier.urihttp://hdl.handle.net/10722/151197-
dc.description.abstractThis paper studies the unstable mechanisms of the mechanical system that is composed of the stiff hosts (roof and floor) and the coal pillar using catastrophe theory. It is assumed that the roof is an elastic beam and the coal pillar is a strain-softening medium which can be described by the Weibull's distribution theory of strength. It is found that the instability leading to coal bump depends mainly on the system's stiffness ratio k, which is defined as the ratio of the flexural stiffness of the beam to the absolute value of the stiffness at the turning point of the constitutive curve of the coal pillar, and the homogeneity index m or shape parameter of the Weibull's distribution for the coal pillar. The applicability of the cusp catastrophe is demonstrated by applying the equations to the Mentougou coal mine. A nonlinear dynamical model, which is derived by considering the time-dependent property of the coal pillar, is used to study the physical prediction of coal bumps. An algorithm of inversion for determining the parameters of the nonlinear dynamical model is suggested for seeking the precursory abnormality from the observed series of roof settlement. A case study of the Muchengjian coal mine is conducted and its nonlinear dynamical model is established from the observation series using the algorithm of inversion. An important finding is that the catastrophic characteristic index D (i.e., the bifurcation set of the cusp catastrophe model) drastically increases to a high peak value and then quickly drops close to instability. From the viewpoint of damage mechanics of coal pillar, a dynamical model of acoustic emission (AE) is established for modeling the AE activities in the evolutionary process of the system. It is revealed that the values of m and the evolutionary path (D = 0 or D ≠ 0) of the system have a great impact on the AE activity patterns and characters. © 2005 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_US
dc.relation.ispartofInternational Journal of Solids and Structuresen_US
dc.subjectAcoustic Emissionen_US
dc.subjectCusp Catastropheen_US
dc.subjectInstabilityen_US
dc.subjectNonlinearen_US
dc.subjectPhysical Predictionen_US
dc.subjectStiffness Ratioen_US
dc.titleInstability leading to coal bumps and nonlinear evolutionary mechanisms for a coal-pillar-and-roof systemen_US
dc.typeArticleen_US
dc.identifier.emailJiao, JJ: jjiao@hku.hken_US
dc.identifier.authorityJiao, JJ=rp00712en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.ijsolstr.2005.06.087en_US
dc.identifier.scopuseid_2-s2.0-33750283816en_US
dc.identifier.hkuros120711-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33750283816&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume43en_US
dc.identifier.issue25-26en_US
dc.identifier.spage7407en_US
dc.identifier.epage7423en_US
dc.identifier.isiWOS:000242425800001-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridQin, S=8895837100en_US
dc.identifier.scopusauthoridJiao, JJ=7102382963en_US
dc.identifier.scopusauthoridTang, CA=7404394097en_US
dc.identifier.scopusauthoridLi, Z=26642863000en_US

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