On the rocking behavior of rigid objects

被引:37
作者
Prieto, F [1 ]
Lourenço, PB [1 ]
机构
[1] Univ Minho, Dept Civil Engn, Guimaraes, Portugal
关键词
rocking block; Dirac-delta; complex;
D O I
10.1007/s11012-005-5875-7
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A novel formulation for the rocking motion of a rigid block on a rigid foundation is presented in this work. The traditional piecewise equations are replaced by a single ordinary differential equation. In addition, damping effects are no longer introduced by means of a coefficient of restitution but understood as the presence of impulsive forces. The agreement with the classical formalism is very good for both free rocking regime and harmonic forcing excitation.
引用
收藏
页码:121 / 133
页数:13
相关论文
共 14 条
[1]  
ARFKEN G, 1995, MATH METHODS PHYSICI, P81
[2]  
ASLAM M, 1980, J STRUCT DIV-ASCE, V106, P377
[3]  
Augusti G., 1992, MASONRY CONSTRUCTION, P195, DOI [10.1007/BF00430045, DOI 10.1007/BF00430045]
[4]  
Goldstein H., 2000, CLASSICAL MECH
[5]   ON THE DYNAMICS OF RIGID-BLOCK MOTION UNDER HARMONIC FORCING [J].
HOGAN, SJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1989, 425 (1869) :441-476
[6]  
Housner G.W., 1963, Bull. Seismol. Soc. Am, V53, P403, DOI [10.1785/BSSA0530020403, DOI 10.1785/BSSA0530020403]
[7]  
Lanczos C, 1949, VARIATIONAL PRINCIPL
[8]  
Lipscombe PR., 1990, THESIS U CAMBRIDGE
[9]   Rocking response of rigid blocks under near-source ground motions [J].
Makris, N ;
Roussos, YS .
GEOTECHNIQUE, 2000, 50 (03) :243-262
[10]   Impulsive Dirac-delta forces in the rocking motion [J].
Prieto, F ;
Lourenço, PB ;
Oliveira, CS .
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 2004, 33 (07) :839-857