An analytical model of a deformable cantilever structure rocking on a rigid surface: experimental validation

Summary This paper describes an experimental program to examine the dynamic response of deformable cantilevers rocking on a rigid surface. The primary goal of the tests is to verify and validate a dynamic rocking model that describes the behavior of these structures. The benchmark response data was obtained from shaking-table tests on deformable rocking specimens with different natural vibration frequencies and different aspect ratios excited by analytical pulses and recorded ground motions. The responses computed using the model are found to be in good agreement with the benchmark test results. Widely used impact, restitution and damping assumptions are revisited based on the experiment results and the analytical model findings. Copyright © 2015 John Wiley & Sons, Ltd.

[1]  Paulo B. Lourenço,et al.  On the dynamics of rocking motion of single rigid‐block structures , 2007 .

[2]  Nicos Makris,et al.  The rocking spectrum and the limitations of practical design methodologies , 2003 .

[3]  Sergio Pellegrino,et al.  Free Rocking of Prismatic Blocks , 1993 .

[4]  Nicos Makris,et al.  Analysis of the rocking response of rigid blocks standing free on a seismically isolated base , 2012 .

[5]  Nicos Makris,et al.  The engineering merit of the “Effective Period” of bilinear isolation systems , 2013 .

[6]  Alessandro Baratta,et al.  Towards a seismic worst scenario approach for rocking systems: analytical and experimental set-up for dynamic response , 2013 .

[7]  Nicos Makris,et al.  Estimating the ''effective period'' of bilinear systems with linearization methods, wavelet and time-domain analyses: From inelastic displacements to modal identification , 2013 .

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

[9]  Pierino Lestuzzi,et al.  Der neue ETH-Erdbebensimulator , 1999 .

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

[11]  Božidar Stojadinović,et al.  An analytical model of a deformable cantilever structure rocking on a rigid surface: development and verification , 2015 .

[12]  Bernard Brogliato,et al.  Dynamics of planar rocking-blocks with Coulomb friction and unilateral constraints: comparisons between experimental and numerical data , 2014 .

[13]  N. Ricker,et al.  Further developments in the wavelet theory of seismogram structure , 1943 .

[14]  Nicos Makris,et al.  Experimental and analytical studies on the response of 1/4-scale models of freestanding laboratory equipment subjected to strong earthquake shaking , 2010 .

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

[16]  Jason Ingham,et al.  Effects of interface material on the performance of free rocking blocks , 2011 .

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