Structures are becoming more vulnerable towards seismic forces with the increase
in the height of the building. However, there are two basic recommendations required
for sound design of earthquake-resistant structures: symmetry and geometric
regularity of plan. It is not always possible to attain these two recommendations in
structure due to some constraints like aesthetic constraints, architectural constraints,
purpose of the building, etc. Even after following all the code provisions, it has been
observed that those buildings which possess irregularities have had an unsatisfactory
behavior during strong earthquakes. In these types of structures, the reason for
partial or complete collapse has been attributed to the actual three-dimensional
nature of earthquake effects. Till date, the three-directional analysis has not been
explored in depth. Although some light has been thrown on biaxial excitation of
structures, most of the literature describes only the qualitative effects, and this
literature includes only single-storey structures. Particularly, much effort has been
made in studying the effect of seismic behavior of the design eccentricities already adopted by the Indian Standard code IS: 1893 (2002); for example, the study of
influence of vertical irregularity (Cassis and Cornejo, 1996) and estimation of
accidental torsion effects for seismic design of buildings (Juan and Anil, 1995),
which was included in IS: 1893 code as 5% of lateral dimension.
Most of the above-mentioned literature basically focussed on issues related with
design problems, and numerous studies on analytical aspects have also been carried
out. However, in all these studies, the authors have taken single-storey structure,
whereas currently most of the structures are multistoried. However, these
investigations have helped in developing analysis methods to achieve a certain level
of efficacy, for example, the nonlinear seismic response on asymmetric plan buildings
by Lucchini et al. (2000), influence of bidirectional seismic motion on the response
of asymmetric building (Julio and Oscar, 2000), nonlinear response of two-way
asymmetric single-storey building under biaxial excitation (Lucchini et al., 2011).
This literature shed light on several gray regions of analytical understanding of
structures. However, final conclusions of earthquake forces in biaxial excitation on
multistorey structures with biaxial eccentricity and other significant parameters are
still lacking.
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