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- W4384943074 abstract "Bending vibrations in a uniform beam are analyzed from the wave standpoint, where bending vibrations are described as waves that propagate along uniform waveguides and are reflected and transmitted at structural discontinuities. The propagation matrix for bending waves in a uniform beam is obtained from its governing equations of motion for free vibration. The reflection and transmission matrices are determined by the equilibrium and continuity at a structural discontinuity. As an introductory chapter to bending vibrations, the study is based on the Euler–Bernoulli bending vibration theory. Natural frequencies, modeshapes, as well as steady state frequency responses are obtained, with comparison to experimental results. MATLAB scripts for numerical simulations are provided. Free vibration analysis of a flexurally vibrating uniform beam from the wave standpoint involves a concise and systematic assembling process, similar to that of an axially vibrating uniform beam." @default.
- W4384943074 created "2023-07-22" @default.
- W4384943074 date "2023-07-18" @default.
- W4384943074 modified "2023-10-14" @default.
- W4384943074 title "Bending Waves in Beams" @default.
- W4384943074 cites W2050164148 @default.
- W4384943074 doi "https://doi.org/10.1002/9781119135074.ch3" @default.
- W4384943074 hasPublicationYear "2023" @default.
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