Vertical vibrations of circular flexible foundations on layered media

Circular ratchets as transducers of vertical vibrations into rotations.

Granular ratchets are well-known devices that when driven vertically produce a counterintuitive horizontal transport of particles. Here we report the experimental observation of a complementary effect: the striking ability of circular ratchets to convert their vertical vibration into their own rotation. The average revolution speed shows a maximum value for an optimal tooth height. With no spec...

A Flexible Solver of the Helmholtz Equation for Layered Media

A flexible solver for the Helmholtz equation is presented. The implementation of the solver is done in an object-oriented style, allowing for easy adaptation to different application problems. The solution methods that are employed are fast compared with standard solution techniques. The viability of the solver is demonstrated for realistic problems in underwater acoustics.

Vibrations of Vertical Pressure Vessels

Contributed by the Petroleum Division and presented at the ASME Petroleum-Mechanical Engineering Conference, Denver, Colo., September 21-24, 1958, of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS. NOTE: Statements and opinions advanced in papers are to be understood as individual expressions of their authors and not those of the Society. Manuscript received at ASME Headquarters, July 9, 1958. Pa...

Lateral Vibrations of Single-Layered Graphene Sheets Using Doublet Mechanics

This paper investigates the lateral vibration of single-layered graphene sheets based on a new theory called doublet mechanics with a length scale parameter. After a brief reviewing of doublet mechanics fundamentals, a sixth order partial differential equation that governs the lateral vibration of single-layered graphene sheets is derived. Using doublet mechanics, the relation between natural f...

Foundations for Circular