This article concerns the fourth-order multi-point beam problem (EIW∆∇)∇∆(x) = m(x)f(x,W (x)), x ∈ [x1, xn]X

In this article, in reference to the modified couple stress theory and Euler-Bernoulli beam theory, the free lateral vibration response of a micro-beam carrying a moveable attached mass is investigated. This is a decent model for biological and biomedical applications beneficial to the early-stage diagnosis of diseases and malfunctions of human body organs and enzymes. The micro-cantilever beam...

In this paper, weconsider the fourth order p-Laplacian beam equation (?p(u??(t)))?? = f (t, u(t), u??(t)) with integral boundary conditions u??(0) u??(1) 0, u(0)??u?(0) ?10 g1(s)u(s)ds, u(1)+?u?(1) ? 10 g2(s)u(s)ds. By using contraction mapping principle, we establish existence and uniqueness of solutions for problem. The monotony iterations is also considered. At last, some examples are presen...

This article investigates the static behavior of functionally graded plate under mechanical loads by using a new quasi 3D model. The theory is designated as fifth-order shear and normal deformation theory (FOSNDT). Properties of functionally graded material are graded across the transverse direction by using the rule of mixture i.e. power-law. The effect of thickness stretching is considered to...

This study investigated bending, buckling, and free vibration responses of hyperbolic shear deformable functionally graded (FG) higher order beams. The material properties of FG beams are varied through thickness according to power law distribution; here, the FG beam was made of aluminium/alumina, and the hyperbolic shear deformation theory was used to evaluate the effect of shear deformation i...

PURPOSE To investigate the effect of laser spot size on the outcome of aberration correction with scanning laser corneal ablation. METHODS Numerical simulation of ablation outcome. RESULTS Correction of wavefront aberrations of Zernike modes from second to eighth order were simulated. Gaussian and top-hat beams of 0.6 to 2.0-mm full-width-half-maximum diameters were modeled. The fractional ...