The optimal position and minimum support stiffness of a vibrating Timoshenko beam are investigated to maximize the fundamental frequency. Finite element method is employed. intermediate support's ideal minimal for wide variety slenderness proportions were achieved after validating finite model with Euler-Bernoulli model's analytical solution. It was observed that its sensitive ratio. According ...

Free vibration analysis of higher-order shear deformation beam resting on one- and two-parameter elasticfoundation is studied using differential transform method (DTM) as a part of a calculation procedure. First,the governing differential equations of beam are derived in a general form considering the shear-freeboundary conditions (zero shear stress conditions at the top and bottom of a beam). ...

The elastic foundation beam theory has been widely used in civil engineering, including railway, tunnel, and building foundations. With the development of fabricated structures, more beams need to be prestressed. In order explore frame with anchor-cable slope reinforcement project, this article, prestress is applied both ends beam. Then, according calculation method internal force deformation u...

In this paper, the authors consider method of calculating an infinite system cross beams on elastic base by variationaldifference method. The is most often modeled as shallow strip foundations for buildings various functional purposes. variation-difference one numerical and analytical methods building structures, it based variational principles Ritz-Timoshenko minimum total potential energy ent...

Timoshenko beam equations with external damping and internal damping terms and forcing terms are investigated, and boundary conditions (end conditions) to be considered are hinged ends (pinned ends), hinged-sliding ends, and sliding ends. Unboundedness of solutions of boundary value problems for Timoshenko beam equations is studied, and it is shown that the magnitude of the displacement of the ...

We present a computational approach for the construction of reducedorder controllers for the Timoshenko beam model. By means of a space discretization of the Timoshenko equations, we obtain a large-scale, finite-dimensional dynamical system, for which we compute an LQG controller for closed-loop stabilization. The solutions of the algebraic Riccati equations characterizing the LQG controller ar...