An isotropic structure modelled as a Timoshenko beam is considered for the optimal vibration control problem. The model to be controlled described by distributed parameter system with selection of Timoshenko?s shear correction factor. Control vibrations achieved through function placed on boundary conditions. performance index which seeks minimized indicates that goal minimize magnitude measure...

An exact dynamic stiffness method is proposed for the free vibration analysis of multi-body systems consisting flexible beams and rigid bodies. The theory sufficiently general in that bodies can be any shape or size, but importantly, permits connections to number at arbitrary points oriented angles. For beam members, a range theories including Bernoulli-Euler Timoshenko are applied. assembly pr...

Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in this research using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams are obtained, and then the weak form of these equations is outlined in this paper. The Ritz technique is selected to investigate the behavior of nonlocal beams with arbitrary boundary conditions ...

In recent years, establishing more and more explicit, complete and accurate dynamic models for the special category of flexible link manipulators has been a formidable challenging and still open problem in robotics research. This chapter is devoted to a methodological presentation of the application of Timoshenko beam (TB) theory (TBT) concepts to the mathematical description of flexible link r...

In this study, the natural frequencies and mode shapes of beams without cracks and cracked Timoshenko beams is calculated with different boundary conditions using finite element method. The energy method is used to solve the equations. Hardness and softness matrices for Timoshenko beam without crack are obtained by solving the potential and kinetic energy equations. Then for investigation of cr...

We consider a Mindlin-Timoshenko model with frictional dissipations acting on the equations for the rotation angles. We prove that this system is not exponentially stable independent of any relations between the constants of the system, which is different from the analogous’ one-dimensional case. Moreover, we show that the solution decays polynomially to zero, with rates that can be improved de...

In this paper, we consider a plate–beam system inwhich the Reissner–Mindlin platemodel is combined with the Timoshenko beam model. Natural frequencies and vibration modes for the system are calculated using the finite element method. The interface conditions at the contact between the plate and beams are discussed in some detail. The impact of regularity on the enforcement of certain interface ...