a single server queue with bernoulli vacation has been considered. in addition the admission to queue is based on a bernoulli process and the server gives two type of services. for this model the probability generating function for the number of customers in the queue at different server's state are obtained using supplementary variable technique. some performance measures are calculated. ...

In this paper, the buckling and vibration behaviour of functionally graded flexoelectric nanobeam is examined. The vibration and buckling formulations of functionally graded nanobeam are developed by using a new theory that’s presented exclusively for flexoelecteric nano-materials. So by considering Von-Karman strain and forming enthalpy equation based on displacement, polarization and electric...

Despite their wide spread applications, the mechanical behavior of helically coiled structures has evaded an accurate understanding at any length scale (nano to macro) mainly due to their geometrical complexity. The advent of helically coiled micro/nanoscale structures in nano-robotics, nano-inductors, and impact protection coatings has necessitated the development of new methodologies for dete...

The effect of the nonlocal parameter on free vibration analysis nano scaled trusses and frames is examined. Accordingly, firstly, axial bending vibrations longitudinal element are formulated. Simple rod Euler-Bernoulli assumptions considered for vibrations, respectively. Finite matrices obtained by applying average weighted residue to equation motion vibration. These combined according freedoms...

A new mathematical model of a porous functionally graded micro/nano-beam under the action Casimir force and Coulomb is constructed in this paper. The construction takes into account Euler-Bernoulli kinematic model. dimensional-dependent parameter taken by modified moment theory elasticity. variational, differential equations, boundary initial conditions are derived from Ostrogradsky-Hamiltonian...

Size-dependent vibrational and instability behavior of fluid-conveying magneto-electro-elastic (MEE) tubular nano-beam subjected to magneto-electric potential and thermal field has been analyzed in this study. Considering the fluid-conveying nanotube as an Euler-Bernoulli beam, fluid-structure interaction (FSI) equations are derived by using non-classical constitutive relations for MEE material...

Abstract The adequate modeling of the micro/nano arc resonators' dynamics is vital for their successful implementation. Here, a size-dependent model, wherein material structure, porosity, and micro-rotation effects grains are considered, derived by combining couple stress theory, multi-phase classical Euler–Bernoulli beam aiming to characterize frequency tunability resonators as monitoring eith...

Abstract. The dynamic stability problem is solved for onedimensional structures subjected to time-dependent deterministic or stochastic axial forces. The stability analysis of structures under time-dependent forces strongly depends on dissipation energy. The simplest model of viscous damping with constant coefficient was commonly assumed in previous papers despite the fact that there are other ...

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