A hyperhelix is a structure consisting of a rod coiled into a helix, coiled into a helix,..., through a finite or even infinite number of orders. An examination of the transverse vibrations of such a structure shows that the macroscopic behavior is accounted for by waves on the rod that are confined to an extremely small range of wave numbers centered about a value equal to the reciprocal of th...

A rectangular rod is placed in a flow field flowing parallel to a flat plate. Effect of chord-thickness ratio of rectangular rod on developing vortex shedding downstream to the rod is studied. Then, for each one of the aspect ratios, the distance of the rod from the neighboring flat plate is reduced until the rod sticks to the flat plate. In each case, the effect of the flat plate boundary laye...

Rod MOFs are metal-organic frameworks in which the metal-containing secondary building units consist of infinite rods of linked metal-centered polyhedra. For such materials, we identify the points of extension, often atoms, which define the interface between the organic and inorganic components of the structure. The pattern of points of extension defines a shape such as a helix, ladder, helical...

Using Riemann’s Rearrangement Theorem, Oystein Linnebo (2020) argues that, if it were possible to apply an infinite positive weight and negative a working scale, the resulting net could end up being any real number, depending on procedure by which these weights are applied. Appealing First Postulate of Archimedes’ treatise balance, I argue instead that scale would always read 0 kg. Along way, w...

We formulate and consider the problem of an inextensible, unshearable, viscoelastic rod, with evolving natural configuration, moving on a plane. prove that dynamic equations describing quasistatic motion Eulerian strut, infinite dimensional dynamical system, are globally well-posed. For every value terminal thrust, these contain smooth embedded curve static solutions (equilibrium points). chara...

The problem of steady penetration by a semi-infinite, rigid penetrator into an infinite, rigid/perfectly plastic target has been studied. The rod is assumed to be cylindrical, with a hemispherical nose, and the target is assumed to obey the Von-Mises yield criterion with the associated flow rule. Contact between target and penetrator has been assumed to be smooth and frictionless. Results compu...