ArticleJournal of computational and nonlinear dynamics2021
Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams.
Article in Journal of computational and nonlinear dynamics, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- AI-Driven Lumped-Element Modeling of Human Respiratory System for Studying Voice Mechanics.Research square · 2026Article
- Numerical approximation for algorithmic tangent moduli for nonlinear viscoelastic model with CSDA method.Scientific reports · 2024Article
- A GENERAL RETURN-MAPPING FRAMEWORK FOR FRACTIONAL VISCO-ELASTO-PLASTICITY.Fractal and fractional · 2022Article
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Authors and funding
5 authors.
Funding
Abstract
Fractional models and their parameters are sensitive to intrinsic microstructural changes in anomalous materials. We investigate how such physics-informed models propagate the evolving anomalous rheology to the nonlinear dynamics of mechanical systems. In particular, we study the vibration of a fractional, geometrically nonlinear viscoelastic cantilever beam, under base excitation and free vibration, where the viscoelasticity is described by a distributed-order fractional model. We employ Hamilton's principle to obtain the equation of motion with the choice of specific material distribution functions that recover a fractional Kelvin-Voigt viscoelastic model of order
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Registered trials
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