Abstract:
Earthquake protection by base isolation of buildings has attracted
considerable attention in recent years. The main concept here is to
isolate the structures from ground instead of the conventional
techniques of strengthening the structural members. This new design
methodology appears to have considerable potential in preventing damages
to the structures and non-structural elements. Loose contents in the
building are also protected.
In the present study, earthquake protection of medium rise
reinforced concrete framed building by base isolation has been studied -
both analytically and experimentally. Model laminated rubber bearing
(LRB) has been designed for seismic isolation of a three storeyed r.c.
framed building during Shake Table test. Analytical studies are carried
out to asses the suitability of pure friction isolator (P-F), lead
rubber bearing (LLRB), siiding-elastomer bearing (EDF) for seismic
isolation of medium rise r.c. framed buildings.
Stability theories of LRB, proposed by different investigators,
have been studied in connection with design of model LRB. Static testing
of model bearing has been carried out to determine bearing parameters.
Compressive test has been carried out to determine the vertical
stiffness of the model bearing, which should have a very large value to
avoid rocking and other unwanted modes of vibration. Shear test of model
bearing under reversible lateral load shows that shear forcedisplacement
relationship is non-linear in nature.
Shake Table Tests of the three storeyed base isolated l/6th scale
model has been carried out to assess the effectiveness of the base
isolation in controlling the response of the superstructure. Additional
loads are attached to each floor level for gravity load simulation.
Simulated earthquake motions generated from a time scaled average
spectra for alluvial soil, have been used as the input table
acceleration histories. The model did not suffered any damage, even when
it was subjected to high peak table acceleration of the order of 0.55g.
Higher modes contribution in the seismic response of isolated structure
are effectively filtered out by model bearing.
Relative performances of P-F bearing, LRB, LLRB and EDF bearing in
controlling the response of a three storeyed r.c. structure, subjected
to unidirectional earthquake motion is studied. Geometry and post
yielding stiffness of all LRB based isolation system are kept same, while coefficient of friction in P-F and EDF isolators are considered to
be 0.1. The bilinear hysteretic behaviour of LRB and lead rubber bearing
are represented by equivalent linear stiffness and damping factor.
Frictional force developed at the sliding interface is modelled by rigid
plastic model. Superstructure is idealized as a rigid body and flexible
model to understand the effects of flexibility of superstructure on
overall response of base isolated buildings. Koyna (Long., 1967) and
El-Centro (N-S, 1940) accelerogram is used as input excitations to
understand the behaviour of base isolated building subjected to
earthquakes with different characteristics. A unified solution algorithm
has been developed for analysis of base isolated building supported over selected isolation systems, based on Newmark's method in predictorcorrector
form.
Effects of superstructure flexibility on the base displacement for
LRB, LLRB and EDF isolation systems are not significant, although
acceleration response increases slightly, when the flexibility of
superstructure has been taken into account. But, both base displacement
and acceleration response for P-F bearing are largely influenced by
flexibility of the superstructure. It is observed that base isolation
technique is more effective in controlling the response of the structure
for earthquake excitation with most of its energy contents in high
frequency range. Fourier decomposition of roof acceleration for both
excitations show that LRB acts as low pass filter and higher modes contribution is lowest for this system as compared to LLRB and EDF
bearing. P-F is not able to filter out high frequency contribution in
the response.
When isolated structure experiences multidirectional motion due to
asymmetry in the structure and/or due to multidirectional excitation, it
becomes very difficult to compute the response of the base isolated
structure by modelling the hysteretic behaviour of LRB based isolation
systems by bilinear model and that of sliding systems by rigid plastic
model. In the present study, hysteretic non-linear model developed by
Wen and modified visco-plastic model developed by Constantinou el al.
IV
have been considered for modelling different types of isolation system
under both unidirectional and bidirectional motions. Close form solution
of stiff differential equation of hysteretic model for forces mobilized
in non-linear elements of different isolation systems are obtained.
Experimental shear force-displacement relationship obtained from
uniaxial test of present study and that obtained by other investigator
from both uniaxial and biaxial tests, have been simulated. Simulated
hysteresis loops of different isolation system under both uniaxial and
biaxial motion are found to be in good agreement with experimentally
obtained hysteresis loops.
A unified solution algorithm has been developed for computation of
response of medium-rise base isolated structures, considering non-linear
behaviour of isolation systems, subjected to general plane motion. This
solution algorithm is based on Newmark's method in predictor-corrector
form. The centre of mass of all the floors and the base are assumed to
be on the same vertical axis.
The response of a three storeyed r.c. framed building supported
over either - P-F bearing, LRB, LLRB or EDF system, subjected to
bidirectional motion of Koyna earthquake (1967), has been studied.
Comparison of response of isolated structure in a particular direction
for unidirectional and bidirectional excitations reflects the effects of
biaxial interaction between orthogonal components of restoring force of
isolation bearings. Response of solution algorithm and the computer
programs developed in this study are in good agreement with that
obtained from the more complex numerical studies reported in the
literature.
Slender shape of model LRB used for isolation of the test structure
during Shake Table test, induced rocking mode of vibration In the
overall response of the isolated structure. When, an additional rocking
degree of freedom is incorporated only at the rigid base of the
superstructure, computed response obtained from flexible model is found
to be in close agreement with the experimental response of the model.
Thus, response of the base isolated medium-rise framed buildings can be
predicted reliably by solution algorithm and computer programs developed
in the present study.