Basic displacement functions for centrifugally stiffened tapered beams

DOI10.1002/cnm.1365zbMath1300.74021OpenAlexW2045532490MaRDI QIDQ3098464

Ahmad Shahba, Reza Attarnejad

Publication date: 17 November 2011

Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1365

zbMATH Keywords

shape functionsfree vibrationbasic displacement functionsrotating non-prismatic beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items (4)

Dynamic basic displacement functions in free vibration analysis of centrifugally stiffened tapered beams; a mechanical solution ⋮ New shape functions for non-uniform curved Timoshenko beams with arbitrarily varying curvature using basic displacement functions ⋮ Buckling and vibration of axially functionally graded nonuniform beams using differential transformation based dynamic stiffness approach ⋮ Free vibration and stability of tapered Euler-Bernoulli beams made of axially functionally graded materials

Cites Work

• Flapwise bending vibration analysis of a rotating double-tapered Timoshenko beam
• Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method
• New rational interpolation functions for finite element analysis of rotating beams
• Flexural motion of a radially rotating beam attached to a rigid body
• FREE VIBRATION OF CENTRIFUGALLY STIFFENED UNIFORM AND TAPERED BEAMS USING THE DYNAMIC STIFFNESS METHOD
• DQEM analysis of out-of-plane deflection of non-prismatic curved beam structures considering the effect of shear deformation
• Exact Bernoulli-Euler dynamic stiffness matrix for a range of tapered beams
• Vibration of a rotating beam with tip mass
• Vibration Modes of Centrifugally Stiffened Beams
• Natural frequencies of radial rotating beams
• The natural frequencies of a thin rotating cantilever with offset root
• Dynamic stiffness formulation for structural elements: A general approach
• Variational derivation of equilibrium equations of arbitrarily loaded pre-stressed shear deformable non-prismatic composite beams and solution by the DQEM buckling analysis
• Dynamic stiffness matrix for variable cross‐section Timoshenko beams

This page was built for publication: Basic displacement functions for centrifugally stiffened tapered beams