There are different finite element models in place for predicting the bending behavior of shear deformable beams and plates. Mostly, the literature abounds with traditional equi-spaced Langrange based low order finite element approximations using displacement formulations. However, the finite element models of Timoshenko beams and Mindlin plates with linear interpolation of all generalized disp...

This article presents a new beam model that employs recursive derivation procedure enables the user to set order of governing differential equations as an input parameter, without need for ad hoc assumptions or methodologies. novel system kinematic variables, section constants, and functions facilitate development higher-order models retain clear philosophical link classical such Euler–Bernoull...

A functionally graded material beam with generalized boundary conditions is contemplated in the present study in order to examine the deformation and stress behavior under thermal and thermo-mechanical load. Three discrete combinations of functionally graded materials have been deliberate in including a wide range of materials and material properties. The variation of material properties has be...

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 ...

Abstract The nonlinear dynamics of a thin tube under the action harmonic external load is addressed in paper. Use made beam-like model which extends Timoshenko beam with further kinematic descriptors, related to change shape cross section. applied half cap pipe, directly triggering both bending axis-line and flattening sections. equations motion are projected on reduced basis constituted by fir...

Vestibular hair cell bundles in the inner ear contain a single kinocilium composed of a 9+2 microtubule structure. Kinocilia play a crucial role in transmitting movement of the overlying mass, otoconial membrane or cupula to the mechanotransducing portion of the hair cell bundle. Little is known regarding the mechanical deformation properties of the kinocilium. Using a force-deflection techniqu...

The standard cold dark matter (CDM) model has recently been challenged by the claim that dwarf galaxies have dark matter halos with constant density cores, whereas CDM predicts halos with steeply cusped density distributions. Consequently, numerous alternative dark matter candidates have recently been proposed. In this paper, we scrutinize the observational evidence for the incongruity between ...

In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo’s law. In the absense of any additional mechanical dissipations, the system is often not even strongly stable unless restricted to the rotationally symmetric case, etc. We present a well-posedness result for the linear problem under general mixe...

Extensions of the Castigliano theorems are developed in the context of modeling the behavior of both discrete coupled linear systems and various coupled beams. It is shown that the minimization of the displacement of a parallel system determined from Castigliano’s second theorem can be used to formally define the apportionment of loads among the system elements, while the minimization of the lo...