Finite element formulation for linear stability analysis of axially functionally graded nonprismatic Timoshenko beam

Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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Free vibration of centrifugally stiffened axially functionally graded tapered Timoshenko beams using differential transformation and quadrature methods
Size-dependent free vibration analysis of composite laminated Timoshenko beam based on new modified couple stress theory
Free vibration characteristics of a functionally graded beam by finite element method
Exponential stability of the linearized nonuniform Timoshenko beam
Free vibration analysis of functionally graded beams with non-uniform cross-section using the differential transform method
A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method
A remarkable nature of the effect of boundary conditions on closed-form solutions for vibrating inhomogeneous Bernoulli-Euler beams
Exact dynamic stiffness matrix of non-symmetric thin-walled beams on elastic foundation using power series method
A new efficient method to evaluate exact stiffness and mass matrices of non-uniform beams resting on an elastic foundation
Free Vibration Behavior of Exponential Functionally Graded Beams with Varying Cross-section
Vibrations and buckling of a beam on a variable winkler elastic foundation
The application of Chebyshev polynomials to the solution of the nonprismatic Timoshenko beam vibration problem
FREE VIBRATION OF TAPERED TIMOSHENKO BEAMS BY DEFORMATION DECOMPOSITION
Free Vibration Analysis of Rotating Axially Functionally Graded Tapered Timoshenko Beams
Buckling of Standing Tapered Timoshenko Columns with Varying Flexural Rigidity Under Combined Loadings
STATIC AND DYNAMIC STABILITY ANALYSIS OF A FUNCTIONALLY GRADED TIMOSHENKO BEAM
Vibration and stability of a non-uniform Timoshenko beam subjected to a follower force
Dynamic stiffness analysis of axially loaded non-uniform Timoshenko columns
Vibration analysis of timoshenko beams with non-homogeneity and varying cross-section

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