Explicit expressions of the eigenfrequencies of damaged frames

Abstract. The presence of damage can strongly affect the residual carrying capacity and dynamic properties frame structures. uncertainty in position intensity implies difficulty adopting for practical purposes deterministic analyses, which rigorously require complicated calculations. In this paper, multi-cracked frames are studied considering crack positions as whereas intensities uncertain. Explicit, although approximated, formulas main modal parameters a function proposed. latter expressions, extend previous study on beam-like structures, built basis detailed here computed combining Dynamic Stiffness Matrix (DSM) approach with an efficient solution employing distribution theory to treat cracks, applying Wittrick Williams algorithm. An extremely low number configurations is adopted build approximated adopted. proposed explicit formulas, duly verified several meaningful cases, then applied analysis frames.