000012174 001__ 12174
000012174 005__ 20141205160026.0
000012174 04107 $$aeng
000012174 046__ $$k2008-10-12
000012174 100__ $$aYan, Liping
000012174 24500 $$aA Mathematical Model for Dynamic Response of a Rigid Block on a Circular ARC Sliding Surface

000012174 24630 $$n14.$$pProceedings of the 14th World Conference on Earthquake Engineering
000012174 260__ $$b
000012174 506__ $$arestricted
000012174 520__ $$2eng$$aThis paper presents a mathematical model to describe dynamic response of a rigid block on a circular arc sliding surface during an earthquake. The rigid block is under excitations of both horizontal and vertical accelerations. The model can be considered an extension of the well-known Newmark sliding block model. A numerical technique based on a fourth-order Runge-Kutta step-by-step time integration scheme was used to solve the derived dynamic differential equation. A computer program was developed following this numerical technique. Under a given earthquake motion, the sliding acceleration, sliding velocity, and sliding displacement can be obtained for the rigid block on a pre-defined circular arc sliding surface. The model proposed in this paper can find many applications, such as seismic analyses of dams and embankments, protection of historic monuments, and maintenance of art items in museums.

000012174 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012174 653__ $$aSeismic response, dynamic analysis, Newmark method, sliding displacement

000012174 7112_ $$a14th World Conference on Earthquake Engineering$$cBejing (CN)$$d2008-10-12 / 2008-10-17$$gWCEE15
000012174 720__ $$aYan, Liping
000012174 8560_ $$ffischerc@itam.cas.cz
000012174 8564_ $$s1127315$$uhttps://invenio.itam.cas.cz/record/12174/files/14-0147.pdf$$yOriginal version of the author's contribution as presented on CD, Paper ID: 14-0147.
000012174 962__ $$r9324
000012174 980__ $$aPAPER