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Deformation of Euler-Bernoulli Beams by means of Modified Green's Function: Application of Fredholm Alternative Theorem
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 ...
Three-dimensional deformations of a curved circular beam subjected to thermo-mechanical loading using green’s function method
This article deals with the exact thermo-mechanical static responses of a curved circular beam by Green’s function method. To nd the solution, the related governing dierential equations are found using the Hamilton’s ...
Free vibration analysis of a beam with an intermediate sliding connection joined by a mass-spring system
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 ...
A closed-form study on the free vibration of a grid joined by a mass-spring system
This paper deals with the coupling flexural-torsional vibration analysis of a grid formed by two members. A mass-spring system is attached to the grid at the intersecting joint. The members of the grid are assumed to resist ...
Vibration of Beam with Elastically Restrained Ends and Rotational Spring-Lumped Rotary Inertia System at Mid-Span
This technical note addresses the free vibration problem of an elastically restrained Euler–
Bernoulli beam with rotational spring-lumped rotary inertia system at its mid-span hinge. The
governing differential ...