SDF Hysteretic System - Analytical Vaiana Rosati Model

Matlab code for nonlinear time history analysis of SDF rate-independent hysteretic systems by using the Analytical Vaiana Rosati Model
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Updated 27 Aug 2023

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Introduction
Nonlinear Equilibrium Equation
Rate-Independent Hysteretic Generalized Force
External Generalized Force
Numerical Method
Results – Sinusoidal Generalized Force
Results – Cosine Generalized Force

Cite As

Vaiana, Nicolò, and Luciano Rosati. “Classification and Unified Phenomenological Modeling of Complex Uniaxial Rate-Independent Hysteretic Responses.” Mechanical Systems and Signal Processing, vol. 182, Elsevier BV, Jan. 2023, p. 109539, doi:10.1016/j.ymssp.2022.109539.

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Vaiana, Nicolò, and Luciano Rosati. “Analytical and Differential Reformulations of the Vaiana–Rosati Model for Complex Rate-Independent Mechanical Hysteresis Phenomena.” Mechanical Systems and Signal Processing, vol. 199, Elsevier BV, Sept. 2023, p. 110448, doi:10.1016/j.ymssp.2023.110448.

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Vaiana, Nicolò, et al. “Nonlinear Dynamic Analysis of Hysteretic Mechanical Systems by Combining a Novel Rate-Independent Model and an Explicit Time Integration Method.” Nonlinear Dynamics, vol. 98, no. 4, Springer Science and Business Media LLC, June 2019, pp. 2879–901, doi:10.1007/s11071-019-05022-5.

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MATLAB Release Compatibility
Created with R2022a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Version Published Release Notes
1.0.0