A viscoelastic Timoshenko beam: Model development, analysis, and investigation

Vibrations are ubiquitous in mechanical or biological systems, and they ruinous numerous circumstances. We develop a viscoelastic Timoshenko beam model, which naturally captures distinctive power-law responses arising from broad distribution of time-scales presented the complex internal structures materials so provides very competitive description beams, thick beams subject to high-frequency excitations. We, then, prove well-posedness regularity model. finally investigate performance comparison with widely used Euler–Bernoulli models, shows utility new