Studying the Non-uniform Expansion of a Stent Influenced by the Balloon

2009 ◽  
pp. 281-282
Author(s):  
J. Yang ◽  
M. B. Liang ◽  
N. Huang ◽  
Y. L. Liu ◽  
S. Shah
Keyword(s):  
Uniform Expansion

scholarly journals A Wavelet-Based Almost-Sure Uniform Approximation of Fractional Brownian Motion with a Parallel Algorithm

2014 ◽  
Vol 51 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Dawei Hong ◽  
Shushuang Man ◽  
Jean-Camille Birget ◽  
Desmond S. Lun
Keyword(s):  
Brownian Motion ◽  
Convergence Rate ◽  
Fractional Brownian Motion ◽  
Parallel Algorithm ◽  
Uniform Approximation ◽  
Haar Wavelets ◽  
Hurst Index ◽  
Sample Paths ◽  
Vanishing Moment ◽  
Uniform Expansion

We construct a wavelet-based almost-sure uniform approximation of fractional Brownian motion (FBM) (Bt(H))_t∈[0,1] of Hurst index H ∈ (0, 1). Our results show that, by Haar wavelets which merely have one vanishing moment, an almost-sure uniform expansion of FBM for H ∈ (0, 1) can be established. The convergence rate of our approximation is derived. We also describe a parallel algorithm that generates sample paths of an FBM efficiently.

The Elastic Field of an Elliptic Inclusion With a Slipping Interface

1986 ◽  
Vol 53 (1) ◽  
pp. 103-107 ◽  
Author(s):  
E. Tsuchida ◽  
T. Mura ◽  
J. Dundurs
Keyword(s):  
Closed Form ◽  
Infinite Series ◽  
Elastic Field ◽  
Elliptic Inclusion ◽  
Numerical Examples ◽  
Elastic Fields ◽  
Bonded Interface ◽  
The Matrix ◽  
Displacement Potentials ◽  
Uniform Expansion

The paper analyzes the elastic fields caused by an elliptic inclusion which undergoes a uniform expansion. The interface between the inclusion and the matrix cannot sustain shear tractions and is free to slip. Papkovich–Neuber displacement potentials are used to solve the problem. In contrast to the perfectly bonded interface, the solution cannot be expressed in closed form and involves infinite series. The results are illustrated by numerical examples.

scholarly journals Brain Stem Feedback in a Computational Model of Birdsong Sequencing

2009 ◽  
Vol 102 (3) ◽  
pp. 1763-1778 ◽  
Author(s):  
Leif Gibb ◽  
Timothy Q. Gentner ◽  
Henry D. I. Abarbanel
Keyword(s):  
Computational Model ◽  
Brain Stem ◽  
Thalamic Nucleus ◽  
Companion Paper ◽  
Neural Basis ◽  
Sequence Variations ◽  
Neural Feedback ◽  
Uniform Expansion ◽  
The Brain ◽  
Feedback Pathway

Uncovering the roles of neural feedback in the brain is an active area of experimental research. In songbirds, the telencephalic premotor nucleus HVC receives neural feedback from both forebrain and brain stem areas. Here we present a computational model of birdsong sequencing that incorporates HVC and associated nuclei and builds on the model of sparse bursting presented in our preceding companion paper. Our model embodies the hypotheses that 1) different networks in HVC control different syllables or notes of birdsong, 2) interneurons in HVC not only participate in sparse bursting but also provide mutual inhibition between networks controlling syllables or notes, and 3) these syllable networks are sequentially excited by neural feedback via the brain stem and the afferent thalamic nucleus Uva, or a similar feedback pathway. We discuss the model's ability to unify physiological, behavioral, and lesion results and we use it to make novel predictions that can be tested experimentally. The model suggests a neural basis for sequence variations, shows that stimulation in the feedback pathway may have different effects depending on the balance of excitation and inhibition at the input to HVC from Uva, and predicts deviations from uniform expansion of syllables and gaps during HVC cooling.

Studying the non-uniform expansion of a stent influenced by the balloon

2010 ◽  
Vol 34 (5-6) ◽  
pp. 301-305 ◽  
Author(s):  
J. Yang ◽  
M. B. Liang ◽  
N. Huang ◽  
Y. L. Liu
Keyword(s):  
Uniform Expansion

Influence of Pressure Amplitude on Formability in Pulsating Hydro-Bugling of AZ31B Magnesium Alloy Sheet

2011 ◽  
Vol 128-129 ◽  
pp. 397-402
Author(s):  
Lian Fa Yang ◽  
Liang Yi ◽  
Chen Guo
Keyword(s):  
Magnesium Alloy ◽  
Wall Thickness ◽  
Room Temperature ◽  
Alloy Sheet ◽  
Pressure Amplitude ◽  
Excellent Performance ◽  
Az31b Magnesium Alloy ◽  
Stress Components ◽  
Uniform Expansion ◽  
Az31b Magnesium Alloy Sheet

The formability of the magnesium alloy sheets is poor at room temperature even though the magnesium alloy sheets are attractive because of their excellent characteristics. Application of pulsating hydroforming is a new and effective method to improve the formability. The effects of the pressure amplitude on the maximum bulging height and minimum wall thickness of the formed parts of AZ31B magnesium alloy sheets are examined using finite element simulations. It is shown that the distribution of maximum bugling height and minimum wall thickness is similar for different pressure amplitude A, and a uniform expansion in bulging region is obtained, the cause of the uniform expansion obtained may be caused by the variation of stress components. The AZ31B sheet has an excellent performance in formability when the pressure amplitude and pulsating frequency are properly selected.

Derivation of Green-type, transitional and uniform asymptotic expansions from differential equations. V. Angular oblate spheroidal wavefunctions p̅s̅ r n ( η , h ) and q̅s̅ r n ( η , h ) for large h

1971 ◽  
Vol 321 (1547) ◽  
pp. 545-555 ◽  
Keyword(s):  
Differential Equation ◽  
Difference Equation ◽  
Asymptotic Expansions ◽  
Mellin Transform ◽  
Green Method ◽  
Oblate Spheroidal ◽  
Direct Iteration ◽  
Uniform Expansion ◽  
Formal Techniques ◽  
Uniform Asymptotic Expansions

The formal techniques of earlier papers (Jorna 1964 a , b , 1965 a , b ) are applied to the differential equation for oblate spheroidal wavefunctions, y ( z , h ) say, with h 2 large. The integro- differential equation arising in the reformulated Liouville–Green method is solved by: (i) direct iteration, yielding asymptotic expansions valid in the region │ z │≃ ½π; (ii) taking its Mellin transform and solving the resulting difference equation iteratively. This approach leads to new asymptotic expansions valid for z ≃ 0 and π , and also to the more general uniform expansion. Both methods yield, concurrently, expansions for the eigenvalues and the corresponding functions themselves. As a particular application, expansions are derived for the periodic angular oblate spheroidal wavefunctions p̅s̅ ( z , h ).

The uniform expansion of the Universe

2010 ◽  
Vol 54 (10) ◽  
pp. 871-889
Author(s):  
A. V. Klimenko ◽  
V. A. Klimenko ◽  
A. M. Fridman
Keyword(s):  
Expansion Of The Universe ◽  
Uniform Expansion ◽  
The Universe
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