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Stability and dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string

https://doi.org/10.1016/j.wavemoti.2012.11.002
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4020-8758-5_4openalex-snapshot
Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions
inferredcites →https://doi.org/10.1007/978-3-642-55483-4openalex-snapshot
Topics in Computational Wave Propagation: Direct and Inverse Problems
inferredcites →https://doi.org/10.1007/978-3-642-58090-1openalex-snapshot
Mathematical Analysis and Numerical Methods for Science and Technology
inferredcites →https://doi.org/10.1007/s00211-002-0446-5openalex-snapshot
A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part I: Construction
inferredcites →https://doi.org/10.1007/s00211-002-0447-4openalex-snapshot
A Conservative Space-time Mesh Refinement Method for the 1-D Wave Equation. Part II: Analysis
inferredcites →https://doi.org/10.1016/j.cam.2012.12.023openalex-snapshot
Introduction and study of fourth order theta schemes for linear wave equations
inferredcites →https://doi.org/10.1016/j.cma.2010.04.013openalex-snapshot
Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: Application to the vibrating piano string
inferredcites →https://doi.org/10.1016/j.wavemoti.2006.06.008openalex-snapshot
Natural frequencies and modes of a Timoshenko beam
inferredcites →https://doi.org/10.1063/1.2810363openalex-snapshot
Mathematical Analysis and Numerical Methods for Science and Technology
inferredcites →https://doi.org/10.1080/14786442108636264openalex-snapshot
LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars
inferredcites →https://doi.org/10.1098/rspa.2008.0276openalex-snapshot
Elastic waves in Timoshenko beams: the ‘lost and found’ of an eigenmode
inferredcites →https://doi.org/10.1115/1.3625046openalex-snapshot
The Shear Coefficient in Timoshenko’s Beam Theory
inferredcites →https://doi.org/10.1121/1.1918192openalex-snapshot
Quality of Piano Tones
inferredcites →https://doi.org/10.1121/1.416017openalex-snapshot
Design and tone in the mechanoacoustic piano. Part III. Piano strings and scale design
inferredcites →https://doi.org/10.1134/s1995423912020061openalex-snapshot
Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4669732openalex-extracted
inferred← citeshttps://doi.org/10.1002/nme.5130openalex-snapshot
Fourth‐order energy‐preserving locally implicit time discretization for linear wave equations
inferred← citeshttps://doi.org/10.1002/nme.7246openalex-snapshot
An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems
inferred← citeshttps://doi.org/10.1007/s00707-017-1953-xopenalex-snapshot
Vibration of a Timoshenko beam supporting arbitrary large pre-deformation
inferred← citeshttps://doi.org/10.1016/j.apacoust.2018.05.008openalex-snapshot
Operational transfer path analysis of a piano
inferred← citeshttps://doi.org/10.1016/j.crma.2016.12.009openalex-snapshot
Space/time convergence analysis of a class of conservative schemes for linear wave equations
inferred← citeshttps://doi.org/10.1016/j.jsv.2014.08.017openalex-snapshot
Energy based simulation of a Timoshenko beam in non-forced rotation. Influence of the piano hammer shank flexibility on the sound
inferred← citeshttps://doi.org/10.1016/j.jsv.2022.117354openalex-snapshot
Sound synthesis of a 3D nonlinear string using a covariant Lie group integrator of a geometrically exact beam model
inferred← citeshttps://doi.org/10.1016/j.wavemoti.2019.03.006openalex-snapshot
Conservative finite difference time domain schemes for the prestressed Timoshenko, shear and Euler–Bernoulli beam equations
inferred← citeshttps://doi.org/10.1016/j.wavemoti.2024.103328openalex-snapshot
A Time-Domain Spectral Finite Element Method for Acoustoelasticity: Modeling the Effect of Mechanical Loading on Guided Wave Propagation
inferred← citeshttps://doi.org/10.1051/aacus/2020008openalex-snapshot
Examination of polarization coupling in a plucked musical instrument string via experiments and simulations
inferred← citeshttps://doi.org/10.1051/m2an/2013136openalex-snapshot
Time domain simulation of a piano. Part 1: model description
inferred← citeshttps://doi.org/10.1051/m2an/2015007openalex-snapshot
Time domain simulation of a piano. Part 2: numerical aspects
inferred← citeshttps://doi.org/10.1051/m2an/2019079openalex-snapshot
Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations
inferred← citeshttps://doi.org/10.1121/1.4809649openalex-snapshot
Modeling and simulation of a grand piano
inferred← citeshttps://doi.org/10.1121/1.4962553openalex-snapshot
Linear stiff string vibrations in musical acoustics: Assessment and comparison of models
inferred← citeshttps://doi.org/10.1137/19m1263959openalex-snapshot
Mathematical and Numerical Study of Transient Wave Scattering by Obstacles with a New Class of Arlequin Coupling
inferred← citeshttps://doi.org/10.23967/eccomas.2022.145openalex-snapshot
Incorporating effective transmission conditions between fluid and solid domains in transient wave propagation problems using the mortar element method
inferred← citeshttps://doi.org/10.70675/aa8e6555z84f1z4afbz86cez68a7d0a762c7openalex-snapshot
Méthodes numériques d'inspiration géométrique pour la synthèse sonore par modèle physique : application à un modèle de corde géométriquement exact
inferred← citeshttps://doi.org/10.70675/f373d22cz78ecz40b9z8915z3fb893fca739openalex-snapshot
Modeling and Data Assimilation for Ultrasonic Guided Waves in Structural Health Monitoring under Operational Loading Conditions
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