1. Structural dynamics: modeling of nonlinearity and uncertainties; computational and experimental methods; inverse problems: structural system identification and damage detection using measured vibration data; statistical energy analysis and modeling of high frequency and mid-frequency vibrations.
2. Stochastic structural mechanics: stochastic FEM; random vibrations; Bayesian filtering; Monte Carlo simulations & variance reduction schemes; structural reliability modeling; global sensitivity analysis.
3. Earthquake engineering: seismic safety of large scale structures; science of earthquake simulations: hybrid test methods; real time substructuring; fire following earthquakes.