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• W2924259312 abstract "This paper presents a number of finite difference time domain (FDTD) schemes to simulate the vibration of prestressed beams to various degrees of accuracy. The Timoshenko, shear and Euler–Bernoulli models are investigated, with a focus on the numerical modelling for the Timoshenko system. The conservation of a discrete Hamiltonian to machine accuracy ensures stability and convergence of the numerical schemes. The difference equations are in the form of theta schemes, which depend on a number of free parameters that can be tuned in order to reduce numerical dispersion. Although the schemes are built by means of second-order accurate finite difference operators only, fully fourth-order accurate schemes may be designed through modified equation techniques, and wideband-accurate schemes are also possible. The latter are schemes designed to maximise the resolving power at all wavelengths. Investigation of beams of cross section varying from slender to thick allows a thorough comparison between the various schemes, for the three beam models." @default.
• W2924259312 created "2019-04-01" @default.
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• W2924259312 date "2019-06-01" @default.
• W2924259312 modified "2023-10-14" @default.
• W2924259312 title "Conservative finite difference time domain schemes for the prestressed Timoshenko, shear and Euler–Bernoulli beam equations" @default.
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• W2924259312 doi "https://doi.org/10.1016/j.wavemoti.2019.03.006" @default.
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