A novel statistical linearization solution for randomly excited coupled bending-torsional beams resting on non-linear supports
DOI10.1007/s11012-019-01026-yOpenAlexW2966166499MaRDI QIDQ6145838
Felice Arena, Giuseppe Failla, Andrea Burlon
Publication date: 9 January 2024
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11012-019-01026-y
Monte Carlo simulationsstatistical linearizationrandom loadsnonlinear supportscoupled bending-torsional vibrations
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear vibrations and stability of parametrically excited systems with cubic nonlinearities and internal boundary conditions: a general solution procedure
- Coupled bending-torsional frequency response of beams with attachments: exact solutions including warping effects
- Flexural-torsional vibrations of beams by BEM
- Coupled bending-torsional dynamic stiffness matrix of an axially loaded Timoshenko beam element
- Finite element modelling of the coupled bending and torsional free vibration of uniform beams with an arbitrary cross-section
- Free vibration of beams with finite mass rigid tip load and flexural--torsional coupling
- Coupled bending and torsional free vibrations of beams with in-span supports and attached masses
- Large deflection analysis of beams with variable stiffness
- Nonlinear response of a beam under stationary random excitation by improved stochastic linearization method
- Sixty years of stochastic linearization technique
- Green's functions for forced vibration analysis of bending-torsion coupled Timoshenko beam
- Linearization methods for stochastic dynamic systems.
- Coupled bending and torsional vibration of axially loaded thin-walled Timoshenko beams
- Coupled bending and torsional vibration of nonsymmetrical axially loaded thin-walled Bernoulli--Euler beams
- Non-linear vibrations of a simple–simple beam with a non-ideal support in between
- On coupled bending and torsional vibration of uniform beams
- Coupled bending-torsional dynamic stiffness matrix for beam elements
- Beam bending-torsion dynamic stiffness method for calculation of exact vibration modes
- Exact dynamic stiffness matrix of a bending-torsion coupled beam including warping
- On the eigenfrequencies of a cantilevered beam with a tip mass and in-span support
- A Dynamic Finite Element (DFE) method for free vibrations of bending-torsion coupled beams
- Coupled vibrations of beams—an exact dynamic element stiffness matrix
This page was built for publication: A novel statistical linearization solution for randomly excited coupled bending-torsional beams resting on non-linear supports