Cross-sectional warping and precision of the first-order shear deformation theory for vibrations of transversely functionally graded curved beams  

作　　者：U.N.ARIBAS M.AYDIN M.ATALAY M.H.OMURTAG 

机构地区：[1]Department of Civil Engineering,Istanbul Medipol University,Istanbul 34810,Türkiye

出　　处：《Applied Mathematics and Mechanics(English Edition)》2023年第12期2109-2138,共30页应用数学和力学（英文版）

基　　金：Project supported by the Scientific and Technological Research Council of Turkey(TUBITAK)via 2209-A Programme。

摘　　要：The warping may become an important factor for the precise transverse vibrations of curved beams.Thus,the first aim of this study is to specify the structural design parameters where the influence of cross-sectional warping becomes great and the first-order shear deformation theory lacks the precision necessary.The outof-plane vibrations of the first-order shear deformation theory are compared with the warping-included vibrations as the curvature and/or thickness increase for symmetric and asymmetric transversely-functionally graded(TFG)curved beams.The second aim is to determine the influence of design parameters on the vibrations.The circular/exact elliptical beams are formed via curved mixed finite elements(MFEs)based on the exact curvature and length.The stress-free conditions are satisfied on three-dimensional(3D)constitutive equations.The variation of functionally graded(FG)material constituents is considered based on the power-law dependence.The cross-sectional warping deformations are defined over a displacement-type FE formulation.The warping-included MFEs(W-MFEs)provide satisfactory 3D structural characteristics with smaller degrees of freedom(DOFs)compared with the brick FEs.The Newmark method is used for the forced vibrations.

关 键 词：mixed finite element(MFE) free vibration forced vibration WARPING exact elliptical beam functionally graded(FG)beam 

分 类 号：O342[理学—固体力学]