Abstract: Abstract. The dynamic stiffness method for free vibration of beams and frameworks is developed using a higher-order shear deformation theory. Starting with the displacement field, the potential and kinetic energies of the ...

Abstract: The frequency-dependent mass and stiffness matrices of a Timoshenko–Ehrenfest beam are developed through extensive application of symbolic computation. Explicit algebraic expressions for the frequency dependent shape ...

Abstract: In this paper, the theory of a Timoshenko–Ehrenfest beam is revisited and given a new perspective with particular emphasis on the relative significances of the parameters underlying the theory. The investigation is intended ...