000013121 001__ 13121
000013121 005__ 20161114160328.0
000013121 04107 $$aeng
000013121 046__ $$k2009-06-22
000013121 100__ $$aPena, F.
000013121 24500 $$aA rigid body spring model for the study of rocking motion of masonry walls

000013121 24630 $$n2.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013121 260__ $$bNational Technical University of Athens, 2009
000013121 506__ $$arestricted
000013121 520__ $$2eng$$aThis paper addresses the numerical modeling of masonry walls as rigid blocks by means of a Rigid Body Spring Model (RBSM). Models based on rigid block assemblies provide a suitable frame work for understanding their dynamic behavior under seismic actions. Therefore, the problem is primarily concerned with Rocking Motion dynamics. In this context, the study of the out-of-plane behavior of unreinforced masonry (URM) walls can be studied as an assemblage of rigid blocks. The pure rocking motion of single rigid bodies can be easily studied with the differential equation of motion which can be solved by numerical integration or by linearization. However, when we deal with sliding and jumping motion of rigid bodies, the mathematical formulation becomes quite complex. In order to overcome this complexity, a Rigid Body Spring Model is proposed for the study of rocking motion of slender rigid bodies, in which the rigid body is considered as a mass element supported by springs and dashpots, in the spirit of deformable contacts between rigid blocks. The RBSM is a semi-discrete model. Therefore, the RBSM can detect separation and sliding of the body. Thus, relative motion between two adjacent elements can occur. However, initial contacts do not change during the analysis and a relative continuity between elements exists, in order to simplify the computational effort. Thus, separation and sliding between the element and its base can occur. Extensive numerical simulations have been carried out. The model here proposed is able to reproduce satisfactorily the rocking, sliding and jumping behavior of the rigid bodies. In the study of top restrained walls the maximum response is a function of the direction of the ground motion. Therefore, the direction of the acceleration should become a new variable in the study of top restrained walls.

000013121 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013121 653__ $$aMasonry Walls, Rocking Motion, Rigid Blocks, Dynamics, Rigid Body Spring Model. Abstract. This paper addresses the numerical modeling of masonry walls as rigid blocks by means of a Rigid Body Spring Model (RBSM). Models based on rigid block assemblies provide a suitable frame work for understanding their dynamic behavior under seismic actions. Therefore, the problem is primarily concerned with Rocking Motion dynamics. In this context, the study of the out-of-plane behavior of unreinforced masonry (URM) walls can be studied as an assemblage of rigid blocks. The pure rocking motion of single rigid bodies can be easily studied with the differential equation of motion which can be solved by numerical integration or by linearization. However, when we deal with sliding and jumping motion of rigid bodies, the mathematical formulation becomes quite complex. In order to overcome this complexity, a Rigid Body Spring Model is proposed for the study of rocking motion of slender rigid bodies, in which the rigid body is considered as a mass element supported by springs and dashpots, in the spirit of deformable contacts between rigid blocks. The RBSM is a semi-discrete model. Therefore, the RBSM can detect separation and sliding of the body. Thus, relative motion between two adjacent elements can occur. However, initial contacts do not change during the analysis and a relative continuity between elements exists, in order to simplify the computational effort. Thus, separation and sliding between the element and its base can occur. Extensive numerical simulations have been carried out. The model here proposed is able to reproduce satisfactorily the rocking, sliding and jumping behavior of the rigid bodies. In the study of top restrained walls the maximum response is a function of the direction of the ground motion. Therefore, the direction of the acceleration should become a new variable in the study of top restrained walls.

000013121 7112_ $$aCOMPDYN 2009 - 2nd International Thematic Conference$$cIsland of Rhodes (GR)$$d2009-06-22 / 2009-06-24$$gCOMPDYN2009
000013121 720__ $$aPena, F.
000013121 8560_ $$ffischerc@itam.cas.cz
000013121 8564_ $$s570151$$uhttps://invenio.itam.cas.cz/record/13121/files/CD164.pdf$$yOriginal version of the author's contribution as presented on CD, section: Computational assessment of seismic performance of masonry structures - ii (MS).
000013121 962__ $$r13074
000013121 980__ $$aPAPER