Journal of Mechanical Design · 1980 · 567 citations · 0 references
EngineeringComputational EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsBeam AnalysisBeam TheoryBending Of BeamsSolid Mechanics ApplicationsStructural Finite Element AnalysisVibration AnalysisBeam Finite Element AnalysisBeam Finite Element FormulationDampingGyroscopic EffectsInternal DampingRotatory Inertia EffectsTimoshenko Beam ModelingTimoshenko Beam Theory
Finite‑element simulation of rotor systems has been extensively studied, yet prior work has omitted shear deformation and axial torque effects. This study extends earlier work by applying Timoshenko beam theory to incorporate transverse shear effects into shaft element shape functions. The authors derive shape functions using Timoshenko beam theory, noting that internal damping is excluded but can be added straightforwardly. Finite‑element results are compared with classical Timoshenko beam theory for both non‑rotating and rotating shafts, demonstrating consistency between the two approaches.
The use of finite elements for simulation of rotor systems has received considerable attention within the last few years. The published works have included the study of the effects of rotatory inertia, gyroscopic moments, axial load, and internal damping; but have not included shear deformation or axial torque effects. This paper generalizes the previous works by utilizing Timoshenko beam theory for establishing the shape functions and, thereby including transverse shear effects. Internal damping is not included but the extension is straight forward. Comparison is made of the finite element analysis with classical dosed form Timoshenko beam theory analysis for nonrotating and rotating shafts.