Applications of Topology Optimization Techniques in Seismic Design of Structure - Structural Seismic Design Optimization and Earthquake Engineering - page 264

compliance of structures in presence of damping
have been derived.
The BESO technique has been modified and
used to maximize the energy absorption of a pas-
sive metallic damper. Sensitivity analysis of the
non-linear system has been presented. Simple
approaches to achieve shape optimization and
periodic solutions have been addressed. It has been
illustrated that the optimized solution not only
provides higher energy absorption capacities but
also offers smoother stress distribution resulting
in better fatigue resistance.
It has been shown that in seismic design of
structures, topology optimization techniques can
be useful in both conceptual design of structural
systems (e.g. maximization of fundamental fre-
quency of a frame) and detailed design of structural
members (e.g. maximization of energy absorption
of passive dampers). These techniques are capable
of dealing with different objective functions and
different material models.

Beyer, H.-G., & Sendhoff, B. (2007). Robust
optimization - A comprehensive survey. Com-
puter Methods in Applied Mechanics and Engi-
neering , 196 (33-34), 3190-3218. doi:10.1016/j.
cma.2007.03.003

Bratus, A. S., & Seyranian, A. P. (1983). Bi-
modal solutions in eigenvalue optimization
problems. Journal of Applied Mathematics and
Mechanics , 47 (4), 451-457. doi:10.1016/0021-
8928(83)90081-3

Buhl, T., Pedersen, C. B. W., & Sigmund, O.
(2000). Stiffness design of geometrically nonlinear
structures using topology optimization. Struc-
tural and Multidisciplinary Optimization , 19 (2),
93-104. doi:10.1007/s001580050089

Chan, R. W. K., & Albermani, F. (2008). Ex-
perimental study of steel slit damper for passive
energy dissipation. Engineering Structures , 30 (4),
1058-1066. doi:10.1016/j.engstruct.2007.07.005

Chopra, A. K. (1995). Dynamics of structures
- Theory and applications to earthquake engi-
neering . Upper Saddle River, NJ: Prentice Hall
International.

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