494 research outputs found
NARX-based nonlinear system identification using orthogonal least squares basis hunting
An orthogonal least squares technique for basis hunting (OLS-BH) is proposed to construct sparse radial basis function (RBF) models for NARX-type nonlinear systems. Unlike most of the existing RBF or kernel modelling methods, whichplaces the RBF or kernel centers at the training input data points and use a fixed common variance for all the regressors, the proposed OLS-BH technique tunes the RBF center and diagonal covariance matrix of individual regressor by minimizing the training mean square error. An efficient optimization method isadopted for this basis hunting to select regressors in an orthogonal forward selection procedure. Experimental results obtained using this OLS-BH technique demonstrate that it offers a state-of-the-art method for constructing parsimonious RBF models with excellent generalization performance
Normalized Ricci flow on Riemann surfaces and determinants of Laplacian
In this note we give a simple proof of the fact that the determinant of
Laplace operator in smooth metric over compact Riemann surfaces of arbitrary
genus monotonously grows under the normalized Ricci flow. Together with
results of Hamilton that under the action of the normalized Ricci flow the
smooth metric tends asymptotically to metric of constant curvature for , this leads to a simple proof of Osgood-Phillips-Sarnak theorem stating that
that within the class of smooth metrics with fixed conformal class and fixed
volume the determinant of Laplace operator is maximal on metric of constant
curvatute.Comment: a reference to paper math.DG/9904048 by W.Mueller and K.Wendland
where the main theorem of this paper was proved a few years earlier is adde
Design of welded stainless steel I-shaped members subjected to shear
This paper aims to develop design methods for the shear strength of welded stainless steel I-shaped members. The current American AISC Design Guide 27 has been published for Structural Stainless Steel, and it refers to the specification ANSI/AISC 360-16 for structural steel buildings for the shear strength without considering tension field action (TFA). All the available test data on stainless steel plate girders were collected from literatures and employed to assess the provisions in the Design Guide 27, as well as the codified ones in Eurocode 3 Part 1.4. Based on the test results and obtained comparisons, two new proposals for unstiffened webs or webs with transverse stiffeners widely spaced (without TFA), and for interior webs with stiffeners spaced at 3hw or smaller (considering TFA) were developed and presented to match the format of the expressions in ANSI/AISC 360-16 for stainless steel webs under shear. Reliability analysis was further performed to calculate the Load and Resistance Factor Design (LRFD) resistance factors determined by the new proposals and to further justify the target factor in AISC Design Guide 27 for structural stainless steel.Peer ReviewedPostprint (author's final draft
Effects of superimposed hydrostatic pressure on fracture in round bars under tension
AbstractThe effect of superimposed hydrostatic pressure on fracture in round bars under tension is studied numerically using the finite element method based on the Gurson damage model. It is demonstrated that while the superimposed hydrostatic pressure has no noticeable effect on necking, it increases the fracture strain due to the fact that a superimposed pressure delays or completely eliminates the nucleation, growth and coalescence of microvoids or microcracks. The experimentally observed transition of the fracture surface, from the cup-cone mode under atmospheric pressure to a slant structure under high pressure, is numerically reproduced. It is numerically proved that the superimposed hydrostatic pressure has no effect on necking for a damage-free round bar under tension
Uniqueness and examples of compact toric Sasaki-Einstein metrics
In [11] it was proved that, given a compact toric Sasaki manifold of positive
basic first Chern class and trivial first Chern class of the contact bundle,
one can find a deformed Sasaki structure on which a Sasaki-Einstein metric
exists. In the present paper we first prove the uniqueness of such Einstein
metrics on compact toric Sasaki manifolds modulo the action of the identity
component of the automorphism group for the transverse holomorphic structure,
and secondly remark that the result of [11] implies the existence of compatible
Einstein metrics on all compact Sasaki manifolds obtained from the toric
diagrams with any height, or equivalently on all compact toric Sasaki manifolds
whose cones have flat canonical bundle. We further show that there exists an
infinite family of inequivalent toric Sasaki-Einstein metrics on for each positive integer .Comment: Statements of the results are modifie
Charge ordering in charge-compensated by oxonium ions
Charge ordering behavior is observed in the crystal prepared through the
immersion of the crystal in distilled water. Discovery of the
charge ordering in the crystal with Na content less than 0.5 indicates that the
immersion in water brings about the reduction of the
. The formal valence of Co changes from +3.59 estimated from
the
Na content to +3.5, the same as that in . The charge
compensation is confirmed to arise from the intercalation of the oxonium ions
as occurred in the superconducting sodium cobalt oxide
bilayer-hydrate.\cite{takada1}
The charge ordering is the same as that observed in . It
suggests that the Co valence of +3.5 is necessary for the charge ordering.Comment: 5 pages, 4 figure
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