TY - JOUR T1 - Multilayered Inhomogeneous Beams under Torsion and Bending: An Analytical Study of Energy Dissipation AU - Rızov, Victor PY - 2023 DA - December DO - 10.55549/epstem.1409415 JF - The Eurasia Proceedings of Science Technology Engineering and Mathematics JO - EPSTEM PB - ISRES Publishing WT - DergiPark SN - 2602-3199 SP - 142 EP - 148 VL - 26 LA - en AB - The present theoretical paper is devoted to the problem of energy dissipation in multilayered inhomogeneous beam structures of visoelastic behaviour. In particular, our attention is concentrated on studying the energy dissipation for the case of a beam that is loaded simultaneously in torsion and bending. Both torsion and bending moments which are applied on the beam change with time so that the angles of twist and rotation of the beam end vary continuously with time. The viscoelastic mechanical behaviour of the beam under torsion is treated by a viscoelastic model that has two linear springs and a linear dashpot. The model is under time-dependent shear stress. The viscoelastic behaviour of the beam under bending is modelled in a similar way. An analytical approach of deriving the energy dissipation is applied. The approach treats a multilayered beam that has an arbitrary number of layers of different thicknesses and material properties. The layers are longitudinally inhomogeneous. An investigation of the energy dissipation is carried-out to clarify the effect of the parameters of the time-dependent bending and torsion moments, the material inhomogeneity and the beam size on the energy dissipation. KW - Energy dissipation KW - Beam structure KW - Multilayered material KW - Viscoelastic behaviour KW - Torsion CR - Dolgov, N. (2005). Determination of stresses in a two-layer coating. Strength of Materials, 37(4), 422-431. CR - Dolgov, N. (2016). Analytical methods to determine the stress state in the substrate–coating system under mechanical loads. Strength of Materials, 48(5), 658-667. CR - Finot, M., & Suresh, S. (1996). Small and large deformation of thick and thin-film multilayers: effect of layer geometry and compositonal gradients. Journal of Mech. Phys. Solids, 44(5), 683-721. UR - https://doi.org/10.55549/epstem.1409415 L1 - https://dergipark.org.tr/en/download/article-file/3618374 ER -