in this article, vehicle cornering stability and brake stabilization via bifurcation analysis has been investigated. in order to extract the governing equations of motion, a nonlinear four-wheeled vehicle model with two degrees of freedom has been developed. using the continuation software package matcont a stability analysis based on phase plane analysis and bifurcation of equilibrium is perfo...

The growth of slant cracks by fretting fatigue of a half plane in contact with a flat rounded pad was studied. The mode I and mode II stress intensity factors for cracks of various lengths and directions were calculated using the semi-analytical method of the distribution of dislocations, and their cumulative effect on the crack growth was investigated using the strain energy density criterion....

In this paper, buckling behavior of moderately thick functionally graded rectangular plates resting on elastic foundation subjected to linearly varying in-plane loading is investigated. The neutral surface position for a functionally graded plate which its material properties vary in the thickness direction is determined. Based on the first-order shear deformation plate theory and the neutral s...

For more than two decades it is known that the time optimal problem for a manipulator along specified path is a bang-bang in term of acceleration along the path and the switching points can be found by phase plane analysis. Despite great advancements, no direct method is still available for finding switching points and constructing switching curve. All proposed methods are based on search algor...

In geotechnical engineering, direct simple shear (DSS) tests are used to determine strength and stiffness parameters of a material. DSS predictions constitutive model influence failure mechanisms in plane-strain, finite-element applications. this article, we introduce closed-form solution the Matsuoka–Nakai equivalent critical friction angle from stress normal data. order apply it clay hypoplas...

This paper deals with two-dimensional plane stress wrinkling model of a plastic annular plate. Based on energy method and the nonlinearity of strain-displacement law, a bifurcation function in polar coordinates is derived analytically. This technique leads to the critical conditions for the onset of the plastic wrinkling of flange during the deep drawing process. To find this solution, the Tres...

is satisfied for any two distinct points P, Q of L. Since the work of Thue on circle packings in the plane, many people have noted that the mesh of a lattice is the inverse of the density of its points and have asked whether there are arbitrary pointsets of maximal density satisfying the packing condition. C. A. Rogers [8] showed in 1951, for example, that for the Euclidean plane no packing is ...

We investigate the orientational behaviour of a homeotropically aligned nematic liquid crystal subjected to an oscillatory plane Poiseuille flow produced by an alternating pressure gradient. For small pressure amplitudes the director oscillates within the flow plane around the initial homeotropic position, whereas for higher amplitudes a spatially homogeneous transition to out-of-plane director...

a fundamental assumption in prosthetic dentistry is that the axis-orbital plane will usually be parallel to the horizontal reference plane. most articulator systems have incorporated this concept into their designs and use orbitale as the anterior reference point for transferring the vertical position of the maxilla to the articulator. clinical observations of cantonese patients suggest that in...