Homogenization is a promising approach to capture the behavior of complex structures like corrugated panels. It enables us to replace high-cost shell models with stiffness-equivalent orthotropic plate alternatives. Ma...
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Homogenization is a promising approach to capture the behavior of complex structures like corrugated panels. It enables us to replace high-cost shell models with stiffness-equivalent orthotropic plate alternatives. Many homogenization models for corrugated panels of different shapes have been proposed. However, there is a lack of investigations for verifying their accuracy and reliability. In addition, in the recent trend of development of smoothed finite element methods, the cell-based smoothed three-node Mindlin plate element (CS-MIN3) based on the first-order shear deformation theory (FSDT) has been proposed and successfully applied to many analyses of plate and shell structures. Thus, this paper further extends the CS-MIN3 by integrating itself with homogenization models to give homogenization methods. In these methods, the equivalent extensional, bending, and transverse shear stiftriess components which constitute the equivalent orthotropic plate models are represented in explicit analytical expressions. Using the results of ANSYS and ABAQUS shell simulations as references, some numerical examples are conducted to verify the accuracy and reliability of the homogenization methods for static analyses of trapezoidally and sinusoidally corrugated panels.
In this paper, we put forth distributed algorithms for solving loosely coupled unconstrained and constrained optimization problems. Such problems are usually solved using algorithms that are based on a combination of ...
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Electroencephalogram (EEG) recordings of children are often used to study the underlying neural basis of causal factors of reading disorders and dyslexia. However, the inter-subject variability in EEG and the unconstr...
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Children’s performance on the spoonerism task, a behavioral test that measures phonological processing skills, predicts reading abilities and related disorders. However, this rela-tionship between phonological proces...
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Understanding the neural underpinnings of dyslexia is an open and fundamental question in developmental neuroscience. A widely agreed causal risk factor for dyslexia is phonological deficit (PD). However, the causal r...
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Phaser is a sophisticated program for IBM personal com-puters, developed atBrown University by the author and someof his students, which enables usersto experiment withdifferential and difference equations and dynamic...
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ISBN:
(数字)9781461236108
ISBN:
(纸本)9780387969183
Phaser is a sophisticated program for IBM personal com-
puters, developed atBrown University by the author and some
of his students, which enables usersto experiment with
differential and difference equations and dynamical systems
in an interactive environment using graphics. This book
begins with a brief discussion of the geometric inter-
pretation of differential equations and numerical methods,
and proceeds to guide the student through the use of the
program. To run Phaser, you need an IBM PC, XT, AT, or PS/2
with an IBM Color GRaphics Board (CGB), Enhanced Graphics
Adapter (VGA). A math coprocessor is supported; however, one
is not required for Phaser to run on the above hardware.
We prove that every graph has a spectral sparsifier with a number of edges linear in its number of vertices. As linear-sized spectral sparsifiers of complete graphs are expanders, our sparsifiers of arbitrary graphs c...
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An explicit representation for the surface corresponding to a shaded image is presented and proven to be correct (under standard conditions). Uniqueness of the surface is an immediate consequence. Using this represent...
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An attempt is made to bring some structure in the meanings of the title subjects based on the perspectives at which they view the data. A rigid framework for Data Analysis is proposed pointing out its role in augmenti...
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The classical problem of solving tridiagonal linear systems of equations is reconsidered. An extremely simple factorization of the system's matrix - implied by but not explicit in the known techniques - is identif...
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