Nonprismatic beams have vast and various applications in mechanical and structural systems; thus, much research is dedicated to develop well-performed stiffness matrices for beams with different forms of section changes ...

In this paper, the free vibration analysis of non-uniform rotating Euler–Bernoulli beam is

carried out. It is assumed that the beam has exponentially decaying circular cross-section.

In order to solve the problem, the differential...

In the free vibration analysis of beams, the inclusion of an intermediate sliding connection with an attached mass-spring system has not been yet treated. The present paper studies the free vibrations of uniform Euler-Bernoulli beams...

This article deals with the determination of the static displacement function of an Euler-Bernoulli beam with two guided supports. To this end, the Green's function method is employed and exact solution is obtained. The Green's function...

This paper deals with the dynamic analysis of Euler–Bernoulli beams at the resonant condition. The governing partial differential equation of the problem is converted into an ordinary differential equation by applying the well-known Fourier...

This article presents an analytical method to draw influence lines and diagrams of variations for deflection, rotation, bending moment, and shearing force for a generally restrained Euler-Bernoulli beam. To do so, Green’s function method is used...

This article presents a formulation for the vibration analysis of plane frames. The

strain gradient notation is utilized to determine the mass and stiffness matrices. The obtained

matrices can easily be ...