This course aims to provide a rational and rigorous procedure for the optimal design of linear structures and systems in dynamic regime. After the student is acquainted with the two main pillars on which the suggested design strategy rests, i.e.:
− Static topology optimization (among the very many available approaches we shall follow Sigmund’s formulation and implementation),
− An abstract system-theoretic view of dynamic systems that is mainly based on transfer function matrices in the frequency (Fourier and Laplace) domain,
a possible extension of static topology optimization to structures and systems experiencing dynamic effects is presented. The main ingredient is the 𝐻∞-norm of the system transfer function that is discussed in much detail. Some insight into programming issues in Matlab is given and a few representative numerical results are introduced and discussed on.
May 18, 2022 from 4:00pm to 6:00pm and May 19, 2022 from 9:00am to 1:30pm