A Timoshenko beam theory for layered orthotropic beams is presented. The theory consists of a novel combination of three key components: average displacement and rotation variables that provide the kinematic description of the beam, stress and strain moments used to represent the average stress and strain state in the beam, and the use of exact axially-invariant plane stress solutions to calibr...

In this study; free vibration analysis of a uniform, rotating, cantilever Timoshenko beam featuring coupling between flapwise bending and torsional vibrations is performed. At the beginning of the study, kinetic and potential energy expressions of a rotating Timoshenko beam having single cross-sectional symmetry are derived by using several explanatory tables and figures. In the following secti...

Plane waves and modal waves of the Timoshenko beam model are characterized in closed form by introducing robust matrix basis that behave according to the nature of frequency and wave or modal numbers. These new characterizations are given in terms of a finite number of coupling matrices and closed form generating scalar functions. Through Liouville's technique, these latter are well behaved at ...

Extensional vibrations are analyzed in the linear theory of an elastic rod of finite length which accounts for lateral deformation. A simplified version of a theory of elastic rods is used; it is based on the concept of a directed curve as developed by Green et al. [1–3]. This simplified version is similar to Mindlin and Herrmann’s theory [4], and has been used recently by Krishnaswamy and Batr...

In this paper, a comprehensive study is presented on the effect of beam's length, shear deformation and beam's theory on the dynamic modeling of single-link flexible manipulator. At the first step, Euler-Bernoulli beams theory (EBBT) is adopted. According to this model the effect of shear deformation is neglected. So, this model is only reliable for the case of slender beam. When the beam is sh...

This paper features the modelling and design of a type of multirate output feedback based controller (Fast Output Sampling Feedback FOS) to control the flexural vibrations of a smart flexible Timoshenko cantilever beam for a Single Input Single Output (SISO) case by retaining the first 2 dominant vibratory modes. Piezoelectric patches are bonded as sensor / actuator to the master structure at d...

We investigate the stability of three thermoelastic beam systems with hyperbolic heat conduction. First, we study Bresse-Gurtin-Pipkin system, providing a necessary and sufficient condition for exponential optimal polynomial decay rate when is violated. Second, obtain analogous results Bresse-Maxwell-Cattaneo completing an analysis recently initiated in literature. Finally, consider Timoshenko-...

During the past few decades, a significant amount of research has been conducted in the area of non-destructive damage evaluation (NDE) based on changes in dynamic properties of a structure. System Identification and damage detection plays a crucial role in structural dynamics and vibro-acoustic system optimization. The later approach is based on the ‘Modal Analysis” The dynamic behaviors of th...

1 Abstract A class of nite element methods, the Galerkin Generalized Least Squares methods, are developed and applied to model the steady{state response of Timoshenko beams. An optimal method is designed using a linear interpolation of the response such that there is zero nite element dispersion error. The classical method of selective reduced integration and a modiied version of selective redu...