Large displacement behavior of a rocking flexible structure under harmonic excitation

In this paper the nonlinear dynamic behavior of a rocking flexible structure subjected to harmonic excitation is investigated. The dynamic response of the structure is characterized by a sequence of full contact and rocking phases which may be halted by the overturning of the system. In the study, reference is made to a simple lumped mass model which, in the full contact phase, behaves as a linear single degree-of-freedom system. In the rocking phase the system exhibits two degrees of freedom and its response is evaluated with reference to large rigid rotations and small elastic deformations. New explicit and numerical results are presented as a function of structural and loading parameters. The complex dynamic behavior of the rocking flexible structure, subjected to harmonic excitation, is compared with the corresponding nonlinear dynamics of the rigid system with the aim of highlighting the limits of applicability of the rigid body assumption. Extensive numerical applications have been performed in order to evaluate the main features of the nonlinear response of the flexible model subjected to harmonic acceleration at the base.

[1]  Phillip L. Gould,et al.  Dynamics of structures with uplift and sliding , 1993 .

[2]  Sinan Acikgoz,et al.  The interaction of elasticity and rocking in flexible structures allowed to uplift , 2012 .

[3]  Constantine C. Spyrakos,et al.  Overturning Stability Criteria for Flexible Structures to Earthquakes , 2005 .

[4]  J. W. Meek,et al.  Effects of Foundation Tipping on Dynamic Response , 1975 .

[5]  Nicholas P. Jones,et al.  BASE EXCITATION OF RIGID BODIES. I: FORMULATION , 1991 .

[6]  Ivo Caliò,et al.  Passive control of the seismic rocking response of art objects , 2003 .

[7]  Daniele Zulli,et al.  3D model of rigid block with a rectangular base subject to pulse-type excitation , 2012 .

[8]  Anil K. Chopra,et al.  Simplified Earthquake Analysis of Multistory Structures With Foundation Uplift , 1985 .

[9]  Anthony N. Kounadis,et al.  Parametric study in rocking instability of a rigid block under harmonic ground pulse: A unified approach , 2013 .

[10]  Ivo Caliò,et al.  Large displacement behaviour of a structural model with foundation uplift under impulsive and earthquake excitations , 2003 .

[11]  Yeong-Bin Yang,et al.  Sliding and rocking response of rigid blocks due to horizontal excitations , 2000 .

[12]  G. Housner.  The behavior of inverted pendulum structures during earthquakes , 1963 .

[13]  Ioannis N. Psycharis,et al.  Effect of Base Uplift on Dynamic Response of SDOF Structures , 1991 .

[14]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

[15]  Ioannis N. Psycharis.  Dynamics of flexible systems with partial lift-off , 1983 .

[16]  Anil K. Chopra,et al.  Simplified Earthquake Analysis of Structures with Foundation Uplift , 1985 .

[17]  Antonio Scalia,et al.  DYNAMICS OF RIGID BLOCK DUE TO HORIZONTAL GROUND MOTION , 1998 .

[18]  J. W. Meek.  Dynamic response of tipping core buildings , 1978 .