Summary
Large amplitude free vibration of an inextensible initially straight thin viscoelastic cantilever, which is released from rest, from a relaxed deflected form is analysed. The cantilever, which is a thin strip of rectangular cross section is assumed to be composed of standard viscoelastic material. Although large deflections and rotations are considered the strains are small so that linear viscoelastic theory can be incorporated into a non-linear bending theory. It is shown how approximate solutions can be obtained by using Galerkin's method and numerical results are presented graphically.
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Mioduchowski, A., Pielorz, A., Nadolski, W. et al. Finite oscillation of viscoelastic cantilever strip. Acta Mechanica 50, 39–48 (1983). https://doi.org/10.1007/BF01170439
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DOI: https://doi.org/10.1007/BF01170439