Although integral and differential nonlinearity may not be the most important parameters for high-speed, high dynamic performance data converters, they gain significance when it comes to highresolution imaging applications. The following application note serves as a refresher course for their definitions and details two different, yet commonly used techniques to measure INL and DNL in highspeed...

In this paper, we present a cable mechanism which synthesizes a nonlinear rotational spring from a linear spring. The nonlinearity is realized by winding the cable around a spool which has a varying radius. We show that for a given nonlinear torque profile (synthesis objective) there is an explicit geometric expression of the shape of the spool which synthesizes this profile. We present the geo...

Of interest in this paper are failure mode interactions when laminated fiber reinforced composites are subjected to compressive loading. Delamination, fiber kink-banding and their interactions are seen to dominate the failure response. This interaction is captured through a computational model that includes interface elements to capture delamination, and, geometric and material nonlinearity to ...

A mathematical theory of time-dependent dislocation mechanics of unrestricted geometric and material nonlinearity is reviewed. Within a ‘small deformation’ setting, a suite of simplified, but interesting, models, namely a nonlocal Ginzburg Landau, a nonlocal level set, and a nonlocal generalized Burgers equation are derived. In the finite deformation setting, it is shown that an additive decomp...

In this paper, we investigate the instability of one-dimensionally stable periodic traveling wave solutions of the generalized Korteweg-de Vries equation to long wavelength transverse perturbations in the generalized Zakharov-Kuznetsov equation in two space dimensions. By deriving appropriate asymptotic expansions of the periodic Evans function, we derive an index which yields sufficient condit...

Bicoherence analysis has been used to characterize nonlinear effects in the propagation of noise from a model-scale, Mach-2.0, unheated jet. Nonlinear propagation effects are predominantly limited to regions near the peak directivity angle for this jet source and propagation range. The analysis also examines the practice of identifying nonlinear propagation by comparing spectra measured at two ...

Abstract. A model of two incompressible, Newtonian fluids coupled across a common interface is studied. The nonlinearity of the coupling condition exacerbates the problem of decoupling the fluid calculations in each subdomain, a natural parallelization strategy employed in current climate models. A specialized partitioned time stepping method is studied which decouples the discrete fluid equati...

Numerical analyses are performed on thermal buckling of annular rings using a reduced Fourier method. The stress sti ness matrix is derived from the geometric nonlinearity in the Green strains with a prede ned circumferential wave number. The method is rst validated through the commercial software Abaqus using an axisymmetric model. It is then implemented to solve more general nonaxisymmetric p...

Reliability assessment and risk analysis of machine rotors in various overload and malfunction situations present challenge to engineers and operators. In this paper a new analytical method for evaluation of rotor under large deformation is addressed. Model is presented in general form to include also composite rotors. Presented simulation procedure is based on variational work method and has c...

We propose a theoretical model of the light-induced director slippage effect. In this effect the bulk director reorientation contributes to the surface director reorientation. It is found that the director and ellipticity profiles, obtained in the geometric optics approximation, are dependent on the ellipticity of the incident light wave. The director distribution is spatially modulated in line...