Wyniki wyszukiwania - BazTech

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Dynamical system of optical soliton parameters for anti-cubic and generalized anti-cubic nonlinearities with super-Gaussian and super-sech pulses

Ayela Amour Marc, Edah Gaston, Biswas Anjan, Zhou Qin, Yildirim Yakup, Khan Salam, Alzahrani Abdullah K., Belic Milivoj R.

Optica Applicata

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2022

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Vol. 52, nr 1

117--128

EN

The parameter dynamics of solitons, propagating through optical fibers, is emerged from the usage of variational principle. The anti-cubic nonlinearity and its generalized version are studied. This study reveals that the center position does not affect the dynamics of different parameters and only soliton power and linear momentum are conserved quantities.

2

Application of topology optimization to thighbone and thighbone/implant structure modelling

Kutylowski Ryszard, Szwechlowicz Marek

Archives of Civil and Mechanical Engineering

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2019

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Vol. 19, no. 4

1006--1019

EN

This paper presents an application of topology optimization in bioengineering. The varia- tional approach to the topology optimization is applied. Using an original numerical algorithm and a programme developed in Matlab, the structure of the thighbone was modelled by FEM. The numerical results of the mass distribution in modelled bone are provided. Obtained topologies are similar to the density distribution in real bone tissue including the case when the implant is imposed into the human body.

3

Anti-periodic solutions for a higher order difference equation with p-Laplacian

Kong L., Parsley J., Rizzo K., Russell N.

Journal of Applied Analysis

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2017

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Vol. 23, nr 2

111--125

EN

A higher order difference equation is studied. The equation is defined onℤand contains a p-Laplacian and both advance and retardation. Some criteria are established for the existence of infinitely many anti-periodic solutions of the equation. Several consequences of the main theorems are also included. Two examples are provided to illustrate the applicability of the results.

4

A variantional approach to 3D line orientation estimation from motion

Yang L., Sahli H., Hao D. N.

Machine Graphics and Vision

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2005

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Vol. 14, No. 4

441-453

EN

A variational approach to estimating 3D line orientation from motion is presented. A 2D motion constraint on 3D lines regularized by a quadratic term is used to set up an objective functional. From its associated Euler-Lagrange equations, we develop a vector-valued diffusion model, with a reaction term based on the 2D motion constraint. Three separate diffusion processes, corresponding to each component of the 3D line orientation, are coupled with each other through the reaction term and evolve simultaneously. Each 3D line orientation is estimated separately. The regularization parameter is estimated by an L-curve, which provides a better estimation. Experimental results from image sequences indicate stability and accuracy of the approach.

5

A dynamic asymptotic model of linear elastic orthotropic plates: first and second-order terms

Sławianowska A., Telega J. J.

Archives of Mechanics

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2001

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Vol. 53, nr 4-5

541-564

EN

By using the asymptotic method combined with variational approach a new dynamic model of elastic orthotropic plates is derived. This model accounts for rotational inertia and takes into account second order terms ... and ... in the asymptotic expansions of displacements and stresses. To avoid the boundary layer analysis, the boundary conditions for ... are satisfied in a suitable averaged sense. Convergence theorem is formulated. Influence of the second-order terms on plate response in the static case is investigated.