• Title/Summary/Keyword: Non-local Theory

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Effects of nonlocal parameter on bending of Intermediate filaments: Formulation of Euler beam theory

  • Taj, Muhammad;Hussain, Muzamal;Khadimallah, Mohamed A.;Baili, Jamel;Khedher, Khaled Mohamed;Tounsi, Abdelouahed
    • Advances in concrete construction
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    • v.12 no.6
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    • pp.491-497
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    • 2021
  • Cell components play vital role within the cell when the cell under goes deformation. These components are microtubules, microfilaments and intermediate filaments. Intermediate filaments are like thread and are of different types. Like microtubules and microfilaments these components also undergo the deformation and their dynamics affected when change occurs within cell. In the present study, bending of intermediate filaments are studied keeping the nonlocal effects under consideration. It is observed that the nonlocal parameter has a great impact on the dynamics of intermediate filaments. This study is made by the application of Euler beam theory.

Semi-analytical stability behavior of composite concrete structures via modified non-classical theories

  • Luxin He;Mostafa Habibi;Majid Khorami
    • Advances in concrete construction
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    • v.17 no.4
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    • pp.187-210
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    • 2024
  • Cantilever structures demonstrate diverse nonlocal effects, resulting in either stiffness hardening or dynamic softening behaviors, as various studies have indicated. This research delves into the free and forced vibration analysis of rotating nanoscale cylindrical beams and tubes under external dynamic stress, aiming to thoroughly explore the nonlocal impact from both angles. Utilizing Euler-Bernoulli and Reddy beam theories, in conjunction with higher-order tube theory and Hamilton's principle, nonlocal governing equations are derived with precise boundary conditions for both local and nonlocal behaviors. The study specifically examines two-dimensional functionally graded materials (2D-FGM), characterized by axially functionally graded (AFG) and radial porosity distributions. The resulting partial differential equations are solved using the generalized differential quadrature element method (GDQEM) and Newmark-beta procedures to acquire time-dependent results. This investigation underscores the significant influence of boundary conditions when nonlocal forces act on cantilever structures.

Using Central Manifold Theorem in the Analysis of Master-Slave Synchronization Networks

  • Castilho, Jose-Roberto;Carlos Nehemy;Alves, Luiz-Henrique
    • Journal of Communications and Networks
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    • v.6 no.3
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    • pp.197-202
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    • 2004
  • This work presents a stability analysis of the synchronous state for one-way master-slave time distribution networks with single star topology. Using bifurcation theory, the dynamical behavior of second-order phase-locked loops employed to extract the synchronous state in each node is analyzed in function of the constitutive parameters. Two usual inputs, the step and the ramp phase perturbations, are supposed to appear in the master node and, in each case, the existence and the stability of the synchronous state are studied. For parameter combinations resulting in non-hyperbolic synchronous states the linear approximation does not provide any information, even about the local behavior of the system. In this case, the center manifold theorem permits the construction of an equivalent vector field representing the asymptotic behavior of the original system in a local neighborhood of these points. Thus, the local stability can be determined.

DERIVATIVE OF THE RIESZ-NÁGY-TAKÁCS FUNCTION

  • Baek, In-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.261-275
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    • 2011
  • We give characterizations of the differentiability points and the non-differentiability points of the Riesz-N$\'{a}$gy-Tak$\'{a}$cs(RNT) singulr function using the distribution sets in the unit interval. Using characterizations, we show that the Hausdorff dimension of the non-differentiability points of the RNT singular function is greater than 0 and the packing dimension of the infinite derivative points of the RNT singular function is less than 1. Further the RNT singular function is nowhere differentiable in the sense of topological magnitude, which leads to that the packing dimension of the non-differentiability points of the RNT singular function is 1. Finally we show that our characterizations generalize a recent result from the ($\tau$, $\tau$ - 1)-expansion associated with the RNT singular function adding a new result for a sufficient condition for the non-differentiability points.

Flapwise and non-local bending vibration of the rotating beams

  • Mohammadnejad, Mehrdad;Saffari, Hamed
    • Structural Engineering and Mechanics
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    • v.72 no.2
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    • pp.229-244
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    • 2019
  • Weak form integral equations are developed to investigate the flapwise bending vibration of the rotating beams. Rayleigh and Eringen nonlocal elasticity theories are used to investigate the rotatory inertia and Size-dependency effects on the flapwise bending vibration of the rotating cantilever beams, respectively. Through repetitive integrations, the governing partial differential equations are converted into weak form integral equations. The novelty of the presented approach is the approximation of the mode shape function by a power series which converts the equations into solvable one. Substitution of the power series into weak form integral equations results in a system of linear algebraic equations. The natural frequencies are determined by calculation of the non-trivial solution for resulting system of equations. Accuracy of the proposed method is verified through several numerical examples, in which the influence of the geometry properties, rotatory inertia, rotational speed, taper ratio and size-dependency are investigated on the natural frequencies of the rotating beam. Application of the weak form integral equations has made the solution simpler and shorter in the mathematical process. Presented relations can be used to obtain a close-form solution for quick calculation of the first five natural frequencies of the beams with flapwise vibration and non-local effects. The analysis results are compared with those obtained from other available published references.

Revealing Geography of Water in Taebaek City through Actor-Network Theory (행위자-연결망 이론을 통해서 본 태백시 물 공급의 지리학)

  • Kim, Na Hyeung;Kim, Sook-Jin
    • Journal of the Korean Geographical Society
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    • v.48 no.3
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    • pp.366-386
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    • 2013
  • This paper analyzes the drought and restriction on water supply in Taebaek City during the winter season in 2008 using Actor-Network Theory. Actor-Network Theory emphasizes and brings into view the role and act of non-human actors as well as human actors in various environmental issues. The fact that only Taebaek experienced restriction on water supply for 88 days although the winter season drought in 2008 affected the whole nation, requires a synthetic analysis of both human and non-human actors and their relationships and networks embedded in Taebaek City at that time. This paper shows that both human and non-human actors including Taebaek City Hall, Korea Water Resource Corporation, Taebaek citizen, the water supply facilities, Gwangdongdam, obsolete water pipes, the topography of Taebaek, soil, the change of industry, and population interact one another transforming the geography of water in Taebaek. This study helps to understand the complex processes related to drought disasters at a specific local scale and to provide appropriate measures to drought.

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An Analysis of the Urban Fringe Management Initiative's Operational Process in UK Using the Actor Network Theory - A Case Study of Thames Chase Community Forest Initiative - (행위자연계망이론을 통한 영국 도시교외지역 관리시책의 운영과정 특성 분석 -테임즈 체이스 마을 숲 조성 시책을 사례로-)

  • Kim, Yong-Bum;Park, Jae-Hong;Chun, Sung-Hwan
    • Journal of Korean Society of Rural Planning
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    • v.13 no.1 s.34
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    • pp.97-109
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    • 2007
  • The purpose of this research was to investigate and analyse how Community Forest Initiatives as urban fringe management initiatives made alliances with a variety of interest groups, enrol them in the urban fringe management processes using the Actor Network Theory. The Thames Chase Community Forest Initiative was selected and its area of operation included a $97 km^2$ area of green-belt area in East London. It was a instrument far improving and protecting the unique characteristics of the countryside landscape from urban developments as well as evaluating the impact of forestry inclusion in land use planning in the urban fringe. It was operated through a tiered structure comprising the Thames Chase Joint Committee and the management team. They employed a variety of devices to speak with one voice to bring about an effective operation process and to secure the enrolment of a variety of interest groups in its operational processes. Of note, the initiative's actor network impacted on improvement to and management of the countryside landscape despite not owning any land itself. As a result, when urban fringe management initiatives will be launched in South Korea to achieve a more effective and efficient urban fringe management, local councillors and representatives from public and non-government bodies should be more responsive to local communities' views and needs and work more vigorously on their behalf through lobbying, seeking media support, and so on. Moreover, better understanding and communication between local authorities' officers and management initiatives' teams are essential to avoid duplication of work practice.

Buckling analysis of new quasi-3D FG nanobeams based on nonlocal strain gradient elasticity theory and variable length scale parameter

  • Houari, Mohammed Sid Ahmed;Bessaim, Aicha;Bernard, Fabrice;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.28 no.1
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    • pp.13-24
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    • 2018
  • A size-dependent novel hyperbolic shear deformation theory of simply supported functionally graded beams is presented in the frame work of the non-local strain gradient theory, in which the stress accounts for only the nonlocal strain gradients stress field. The thickness stretching effect (${\varepsilon}_z{\neq}0$) is also considered here. Elastic coefficients and length scale parameter are assumed to vary in the thickness direction of functionally graded beams according to power-law form. The governing equations are derived using the Hamilton principle. The closed-form solutions for exact critical buckling loads of nonlocal strain gradient functionally graded beams are obtained using Navier's method. The derived results are compared with those of strain gradient theory.

Electrical Impedance Tomography as a Primary Screening Technique for Breast Cancer Detection

  • Akhtari-Zavare, Mehrnoosh;Latiff, Latiffah A
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.14
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    • pp.5595-5597
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    • 2015
  • Electrical impedance tomography (EIT) is a new non-invasive, mobile screening method which does not use ionizing radiation to the human breast. It is based on the theory that cancer cells display altered local dielectric properties, thus demonstrating measurably higher conductivity values. This article reviews the utilisation of EIT in breast cancer detection. It could be used as an adjunct to mammography and ultrasonography for breast cancer screening.

DIVISIBLE SUBSPACES OF LINEAR OPERATORS ON BANACH SPACES

  • Hyuk Han
    • Journal of the Chungcheong Mathematical Society
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    • v.37 no.1
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    • pp.19-26
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    • 2024
  • In this paper, we investigate the properties related to algebraic spectral subspaces and divisible subspaces of linear operators on a Banach space. In addition, using the concept of topological divisior of zero of a Banach algebra, we prove that the only closed divisible subspace of a bounded linear operator on a Banach space is trivial. We also give an example of a bounded linear operator on a Banach space with non-trivial divisible subspaces.