The large deflections of cantilevered beams and plates are modeled discussed. Traditional nonlinear elastic models (e.g., that von Karman) employ restoring forces based on the effect stretching bending, these less applicable to cantilevers. Recent experimental work indicates cantilevers subject inertial stiffness effects. We review a recently established (quasilinear nonlocal) beam model, consi...

This paper deals with a variational model applicable to small-deformation structural analysis expressed for linearly elastic-perfectly plastic (von Mises-Hubcr-Hencky) material. The model comprises a unification of the minimum complementary energy principal, the Haar-von Karman principle for deformation elastoplasticity, and (in a sense) the lower bound theorem of Limit Analysis. Thus it corres...

One of the most important aspects of detecting damage in the framework of structural health monitoring is increasing the sensitivity of the monitored feature to the presence, location, and extent of damage. Distinct from previous techniques of obtaining information about the monitored structure—such as measuring frequency response functions—the approach proposed herein is based on an active int...

Abstract An investigation of dynamic behaviors a sandwich plate containing an imperfect two dimensional functionally graded (2D-FG) core surrounded by faces on two-parameter elastic foundation and subjected to moving load is carried out in this paper. The present solid composed porous 2D-FG covered homogenous layers. It assumed that the middle layer has micro voids dispersed uniformly unevenly ...

The primary resonance and nonlinear vibrations of the functionally graded graphene platelet (FGGP)-reinforced rotating pretwisted composite blade under combined external multiple parametric excitations are investigated with three different distribution patterns. FGGP-reinforced is simplified to cantilever plate reinforced by platelet. It novel simplify leakage airflow in tip clearance non-unifo...

A stochastic model is derived to predict the turbulent torque produced by a swirling flow. It is a simple Langevin process, with a colored noise. Using the unified colored noise approximation, we derive analytically the PDF of the fluctuations of injected power in two forcing regimes: constant angular velocity or constant applied torque. In the limit of small velocity fluctuations and vanishing...

These notes supplement Robert Kohn’s Lecture 3 at the 2014 PCMI Graduate Summer School. For background and heuristic arguments, see the pdf of that lecture. For physicsoriented discussions of this topic see [4] and [3]. For upper and lower energy bounds similar to those presented here but using nonlinear elasticity and a rather general membrane model see [1]. We want to study deformations of a ...

Submitted for the DPP09 Meeting of The American Physical Society Self-Similar Decay of Enstrophy in an Electron Plasma DOUGLAS RODGERS, SERGIO SERVIDIO, WILLIAM MATTHAEUS, TRAVIS MITCHELL, Department of Physics and Astronomy, University of Delaware, Newark, DE 19716 — The similarity solution for energy decay in 3D hydrodynamic turbulence, due to Taylor and von Karman [1], based on the self pres...

We perform numerical experiments with a novel cellularautomaton fluid model. The model has simple pair-interaction rules and works in arbitrarily many dimensions; here we consider the twodimensional case. By observing the smoothing-out of the velocity profile of a shear flow and the relaxation of a shear wave, we measure the kinematic shear viscosity and obtain a value of :::::: 0.5. To demonst...