Abstract
The geometry of flexible beams that are made of a physically nonlinear material and have a nearly linear load-deflection characteristic is identified for a wide range of monotonic and harmonic loads. The geometrically nonlinear beam equations are used. The physically nonlinear behavior of the material is described using a unified viscoplastic theory. A beam thickness criterion is formulated to provide nearly linear stiffness characteristic of the beam in the case of significant deflections and physically nonlinear deformations of the beam’s outer layers
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 85–92, February 2006.
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Zhuk, Y.A., Senchenkov, I.K. On linearization of the stiffness characteristics of flexible beams made of physically nonlinear materials. Int Appl Mech 42, 196–202 (2006). https://doi.org/10.1007/s10778-006-0076-1
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DOI: https://doi.org/10.1007/s10778-006-0076-1