To Calculation of Rectangular Plates on Periodic Oscillations

Periodic Oscillations in the Analysis of Algorithms and Their Cancellations

A large number of results in analysis of algorithms contain fluctuations. A typical result might read “The expected number of . . . for large n behaves like log2 n + constant + delta(log2 n), where delta(x) is a periodic function of period one and mean zero.” Examples include various trie parameters, approximate counting, probabilistic counting, radix exchange sort, leader election, skip lists,...

Dynamics of nonlinear rectangular plates subjected to an orbiting mass based on shear deformation plate theory

In this paper, transverse and longitudinal vibration of nonlinear plate under exciting of orbiting mass is considered based on first-order shear deformation theory. The nonlinear governing equation of motion are discretized by the finite element method in combination with Newmark’s time integration scheme under von Karman strain-displacement assumptions. For validation of method and formulation...

Forced oscillations of a damped‎ ‎Korteweg-de Vries equation on a periodic domain

‎In this paper‎, ‎we investigate a damped Korteweg-de‎ ‎Vries equation with forcing on a periodic domain‎ ‎$mathbb{T}=mathbb{R}/(2pimathbb{Z})$‎. ‎We can obtain that if the‎ ‎forcing is periodic with small amplitude‎, ‎then the solution becomes‎ ‎eventually time-periodic.

Interdisciplinary Workshop on Periodic Oscillations

Surface stress induced deflections of cantilever plates with applications to the atomic force microscope: Rectangular plates

Surface stress is a material property that underpins many physical processes, such as the formation of self-assembled monolayers and the deposition of metal coatings. Due to its extreme sensitivity, atomic force microscopy ~AFM! has recently emerged as an important tool in the measurement of surface stress. Fundamental to this application is theoretical knowledge of the effects of surface stres...