Conservative finite difference time domain schemes for the prestressed Timoshenko, shear and Euler-Bernoulli beam equations

DOI10.1016/j.wavemoti.2019.03.006OpenAlexW2924259312WikidataQ128183798 ScholiaQ128183798MaRDI QIDQ781440

Michele Ducceschi, Stefan Bilbao

Publication date: 16 July 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2019.03.006

zbMATH Keywords

Timoshenko beamnumerical methodsprestressed beamsstiff strings

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Partial differential equations (35-XX)

Related Items

A numerical algorithm for the nonlinear Timoshenko beam system, One-parameter spectral Galerkin methods for Timoshenko beam system with delay boundary feedback, Large displacements and rotations of a local linear elastic rod

Cites Work

• Unnamed Item
• Review of summation-by-parts schemes for initial-boundary-value problems
• Natural frequencies and modes of a Timoshenko beam
• A finite difference scheme for solving the Timoshenko beam equations with boundary feedback
• Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study
• Compact finite difference schemes with spectral-like resolution
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Stability and dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string
• Semi-discrete and fully discrete Galerkin methods for the vibrating Timoshenko beam
• Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
• Conservative semidiscrete difference schemes for Timoshenko systems
• Higher-order accurate two-step finite difference schemes for the many-dimensional wave equation
• Time-Dependent Problems and Difference Methods
• FINITE ELEMENT VIBRATION ANALYSIS OF ROTATING TIMOSHENKO BEAMS
• Free vibration analysis of Timoshenko beams by DSC method
• A higher order beam finite element for bending and vibration problems
• Finite element eigenvalue analysis of tapered and twisted Timoshenko beams
• A finite element for the vibration analysis of Timoshenko beams
• An improved two-node timoshenko beam finite element
• Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media
• DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES