Endochronic Theory and Non-Llinear Stochastic Dynamics of 3-D Frames

by Fabio Casciati, Univ of Pavia, Italy,
Lucia Faravelli, Univ of Pavia, Italy,

Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering

Abstract: Analytical continuous expressions of the material constitutive law are required by equivalent linearization techniques in nonlinear stochastic dynamics. Extensions to study 3D frames, as well as bi- or three-axial stress states, is straightforward once the multiaxial stress-strain relationship under cyclic non-proportional loading is provided in an analytical form. The latter task is investigated from both the endochronic and the classical plasticity point of view.

Subject Headings: Stochastic processes | Frames | Stress analysis | Nonlinear response | Stress strain relations | Three-dimensional analysis | Structural dynamics

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