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Finite element method for in‐plane vibrations of rotating Timoshenko rings and sectors
Author(s) -
Singh Kultar,
Singh Bhupinder Pal
Publication year - 1985
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620210812
Subject(s) - finite element method , galerkin method , mathematics , compatibility (geochemistry) , quintic function , vibration , mixed finite element method , mathematical analysis , extended finite element method , structural engineering , physics , materials science , engineering , nonlinear system , composite material , quantum mechanics
A simple and logical finite element formulation is presented for the analysis of rings and sectors, with Timoshenko effects. The elemental properties are derived from the governing differential equation of motion using the Galerkin method. A quintic polynomial, satisfying the compatibility of derivatives up to second order, has been used for the ring finite element. The interpolating function is the same as for a thin ring. The efficiency of the formulation has been illustrated by the numerical results presented.