Axisymmetric (or almost axisymmetric) systems are ever-present in mechanical engineering [...]

In general, deep drawing products have various cross-section shapes such as cylindrical, rectangular and nonaxisymmetric shapes. The application of the surface area calculation to non-axisymmetric deep drawing process has not been published yet. In this research, a surface area calculation for non-axisymmetric deep drawing products with elliptical shape was constructed for a design of blank sha...

Approximately 20% of percutaneous coronary interventions (PCIs) are performed to treat coronary bifurcations. PCIs in bifurcation lesions have been associated with lower procedural success rates and worse clinical outcomes than non-bifurcation lesions. In addition, PCIs in bifurcation are renowned for being technically demanding. Indeed, there are several challenges in percutaneous treatment of...

Premixed flames stabilized behind the trailing edge of a semi-infinite cylindrical rod placed coaxially in a circular channel were investigated numerically within the diffusive-thermal model. Apart from the inverted flames, or V-flames, widely reported in the literature, the other kind of flames was observed for the Lewis number lower than unity. The main characteristic of such flames is confin...

Weakly conducting dielectric liquid drops suspended in another dielectric liquid and subject to an applied uniform electric field exhibit a wide range of dynamical behaviours contingent on field strength and material properties. These phenomena are best described by the Melcher–Taylor leaky dielectric model, which hypothesizes charge accumulation on the drop–fluid interface and prescribes a bal...

In this paper, the bifurcation analysis for Burgers mapping has been studied. The existence and stability of the fixed points of this map was derived. The conditions of existence for pitchfork bifurcation, flip bifurcation and Neimark-Sacker bifurcation are derived by using center manifold theorem and bifurcation theory. The control of the map around stable NeimarkSacker bifurcation has been ac...

We present an unfolding of the codimension-two scenario of the simultaneous occurrence of a discontinuous bifurcation and an Andronov-Hopf bifurcation in a piecewise-smooth, continuous system of autonomous ordinary differential equations in the plane. We find that the Hopf cycle undergoes a grazing bifurcation that may be very shortly followed by a saddle-node bifurcation of the orbit. We deriv...

With regard to homeoidally striated Jacobi ellipsoids (Caimmi & Marmo 2005), a unified theory of systematically rotating and peculiar motions is developed, where both real and imaginary rotation (around a fixed axis) are considered. The effect of positive or negative residual motion excess, is shown to be equivalent to an additional real or imaginary rotation, respectively. Then it is realized ...