in this paper, free vibration of an Euler-Bernoulli beam with variable cross-section resting on elastic foundation and under axial tensile force is considered. Beam’s constant height and exponentially varying width yields variable cross-section. The problem is handled for three different boundary conditions: clamped-clamped, simply supported-simply supported and clamp-free beams. First, the equ...

We present a new “hp” parameter multi-domain certified reduced basis method for rapid and reliable online evaluation of functional outputs associated with parametrized elliptic partial differential equations. We propose a new procedure and attendant theoretical foundations for adaptive partition of the parameter domain into parameter subdomains (“h”-refinement); subsequently, we construct indiv...

The effect of central opening on the buckling and nonlinear post-buckling response of carbon nanotubes (CNTs) reinforced micro composite plate embedded in elastic medium is considered in this paper. It is assumed that the system is surrounded by elastic medium, therefore; the influence of Pasternak foundation on buckling and post-buckling behavior are analyzed. In order to derive the basic form...

An analysis has been presented of the effect of elastic foundation and uniform in-plane peripheral loading on the natural frequencies and mode shapes of circular plates of varying thickness exhibiting bi-directional functionally graded characteristics, on the basis of first order shear deformation theory. The material properties of the plate are varying following a power-law in both the radial ...

In this paper, the authors propose an adaptive Elastic Net method for edge linking of images. Edge linking is a fundamental computer-vision task, which is a constrained optimization problem. In the proposed method, an adaptive dynamic parameter strategy and a stochastic noise strategy are introduced into the Elastic Net, which enables the network to have superior ability for escaping from local...

By phenomenological Landau analysis, it is shown that a scalar order parameter with the pointgroup symmetry Γ1g explains most properties associated with the phase transition in PrFe4P12 at 6.5 K. The scalar-order model reproduces magnetic and elastic properties in PrFe4P12 consistently such as (i) the anomaly of the magnetic susceptibility and elastic constant at the transition temperature, (ii...

Following prior analysis for measured pp elastic differential cross section, the impact parameter representation in terms of profile functions is calculated from two different parameterizations on single diffractive dissociation data. The derivative of this quantity with respect to the collision energy squared s measures the growth rate of the reaction’s blackness. Its distribution in impact pa...