Title: Topology Optimization of Structures subjected to Stochastic Dynamic Loading

Speaker: B.F. Spencer, Jr.

Professor at the University of Illinois at Urbana-Champaign.

Nathan M. and Anne M. Newmark Endowed Chair of Civil Engineering. Director of the Newmark Structural Engineering Laboratory. The North American Editor in Chief of Smart Structures and Systems, and the past president of the Asia-Pacific Network of Centers for Research in Smart Structures Technology.

Venue: A326, An-Zhong Building

Time: 10:00-11:30am Dec.1.(Friday)

ABSTRACT

Topology optimization provides a general approach to obtain optimal material layout in a prescribed domain according to some cost function and subjected to given design constraints. Numerous papers have been written in this field, with more and more results making their way into structural designs. However, the literature on topology optimization for structures subject to stochastic dynamic loads is limited. This presentation focuses on topology optimization framework for stochastically excited structures, using a performance function in terms of the covariance of the stationary structural responses, obtained by solving a large-scale Lyapunov equation. An adjoint method is used to obtain the sensitivities of the performance function, which allows the use of efficient gradient-based updating procedures. Illustrative examples are provided for the optimization of a mid-rise building subjected to a stochastic ground motion using drifts-based and acceleration-based performance functions. The results demonstrate the efficacy of the proposed approach for multi-objective topology optimization of stochastically excited structures.

ALL INTERESTED ARE WELCOME

College of Civil Engineering and Architecture