Parametric resonance of fractional multiple-degree-of-freedom damped beam systems
From MaRDI portal
Publication:824926
DOI10.1007/s00707-021-03087-1OpenAlexW3213667722MaRDI QIDQ824926
Carmelo E. Majorana, Beatrice Pomaro
Publication date: 16 December 2021
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-021-03087-1
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fractional derivatives and integrals (26A33) Numerical methods for ordinary differential equations (65Lxx) Fractional ordinary differential equations (34A08)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Responses of Duffing oscillator with fractional damping and random phase
- Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions
- Solving systems of fractional differential equations by homotopy-perturbation method
- Forward residue harmonic balance for autonomous and non-autonomous systems with fractional derivative damping
- Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam
- Variational iteration method: New development and applications
- Unsteady flow of viscoelastic fluid with fractional Maxwell model in a channel
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Stability approach to the fractional variational iteration method used for the dynamic analysis of viscoelastic beams
- Numerical solution of fractional differential equations: a survey and a software tutorial
- A predictor-corrector approach for the numerical solution of fractional differential equations
- A comparative study of three boundary element approaches to calculate the transient response of viscoelastic solids with unbounded domains
- The role of fractional calculus in modeling biological phenomena: a review
- Stability analysis for a single degree of freedom fractional oscillator
- Solution of fractional differential equations by using differential transform method
- Nonlinear Vibrations of Viscoelastic Plane Truss Under Harmonic Excitation
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Analytical Solution of a Dynamic System Containing Fractional Derivative of Order One-Half by Adomian Decomposition Method
- Dynamic stability of elastic structures: a finite element approach
- Time-Domain Finite Element Analysis of Viscoelastic Structures with Fractional Derivatives Constitutive Relations
- Initial conditions-independent limit cycles of a fractional-order van der Pol oscillator
- Advances in Fractional Calculus
- Dynamic stability of an elastic beam with visco‐elastic translational and rotational supports
