Dynamic motion of a conical frustum over a rough horizontal plane

Stefanou, I; Vardoulakis, I; Mavraganis, A

dc.contributor.author	Stefanou, I	en
dc.contributor.author	Vardoulakis, I	en
dc.contributor.author	Mavraganis, A	en
dc.date.accessioned	2014-03-01T01:35:32Z
dc.date.available	2014-03-01T01:35:32Z
dc.date.issued	2011	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21101
dc.subject	Ancient classical columns	en
dc.subject	Conical frustum	en
dc.subject	Dynamic motion	en
dc.subject	Rocking	en
dc.subject	Wobbling	en
dc.subject.classification	Mechanics	en
dc.subject.other	Ancient classical columns	en
dc.subject.other	Conical frusta	en
dc.subject.other	Dynamic motion	en
dc.subject.other	Rocking	en
dc.subject.other	Wobbling	en
dc.subject.other	Differentiation (calculus)	en
dc.subject.other	Dynamic response	en
dc.subject.other	Equations of motion	en
dc.subject.other	Linear systems	en
dc.subject.other	Numerical methods	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Three dimensional	en
dc.subject.other	Behavioral research	en
dc.title	Dynamic motion of a conical frustum over a rough horizontal plane	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.ijnonlinmec.2010.07.008	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.ijnonlinmec.2010.07.008	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	An analytical and numerical study of the dynamic motion of a conical frustum over a planar surface is presented resulting to a non-linear system of ordinary differential equations Wobbling and rocking components of motion are discussed in detail concluding that in general the former component dominates the latter For small inclination angles an asymptotic approximation of the angular velocities is possible revealing the main characteristics of wobbling motion and its differences from rocking Connection is made of the analysis with the behavior of the ancient classical columns whose three dimensional dynamic response challenges the accuracy of the two dimensional models usually applied in practice The consideration of such discrete-blocky systems can benefit from the present study through qualitative results and benchmarks for more complicated numerical methods like the Distinct Element Method (C) 2010 Elsevier Ltd All rights reserved	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.doi	10.1016/j.ijnonlinmec.2010.07.008	en
dc.identifier.isi	ISI:000285901900012	en
dc.identifier.volume	46	en
dc.identifier.issue	1	en
dc.identifier.spage	114	en
dc.identifier.epage	124	en