A spectral element approach for the stability of delay systems
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Publication:2894760
DOI10.1002/nme.3122zbMath1242.70007OpenAlexW2155935865MaRDI QIDQ2894760
Brian P. Mann, Firas A. Khasawneh
Publication date: 2 July 2012
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.3122
delay equationshomotopy perturbation methodspectral elementLegendre pointshigh-order trial functionstemporal finite element analysis
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Stability for problems in linear vibration theory (70J25) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
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Stability analysis of milling processes with varying workpiece dynamics ⋮ Chebyshev differentiation matrices for efficient computation of the eigenvalues of fourth-order Sturm-Liouville problems ⋮ Stability of delay integro-differential equations using a spectral element method ⋮ Milling stability analysis using the spectral method ⋮ Extension of the spectral element method for stability analysis of time-periodic delay-differential equations with multiple and distributed delays ⋮ Periodic solutions of nonlinear delay differential equations using spectral element method ⋮ Utilizing Topological Data Analysis for Studying Signals of Time-Delay Systems ⋮ Periodic consensus in network systems with general distributed processing delays ⋮ Regenerative machine tool vibrations
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