• Title/Summary/Keyword: simply k-connected

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A Study on the inspection item classified by reinforcement method for the construction slope maintenance (건설공사 비탈면 유지관리를 위한 보강공법별 점검항목에 관한 연구)

  • Kim, Yong-Soo;Chang, Buhm-Soo;Shin, Kwan-Young
    • Proceedings of the Korean Geotechical Society Conference
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    • 2005.03a
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    • pp.759-764
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    • 2005
  • With the tunnel to case of the construction slope it executes the periodic maintenance due to an objectivity standard. But, the standard connected with construction slope is not integrated with the important public paper organic enemy and it is duplicated and the standards which conflict are being scattered. Also, it is referred to some specifications simply and the feature which is diffuse appears. Therefore, there is a necessity which it investigates the problem point of the maintenance civil official and it improves rationally and it takes a triangular position a confusedly be standard system. In this research which it sees accomplished the fundamental research against the inspection item classified by reinforcement method for the construction slope maintenance.

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Dynamic analysis of helicoidal bars with non-circular cross-sections via mixed FEM

  • Eratli, Nihal;Yilmaz, Murat;Darilmaz, Kutlu;Omurtag, Mehmet H.
    • Structural Engineering and Mechanics
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    • v.57 no.2
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    • pp.221-238
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    • 2016
  • One of the objectives of this study is to implement the direct calculation of the torsional moment of inertia for non-circular cross-sections, which is based on the St. Venant torsion formulation and the finite element method. Recently the proposed method provides a unique calculation of the torsional rigidity of simply and multiply connected cross-sections. Next, free vibration analyses of cylindrical and non-cylindrical helices with non-circular cross-sections are solved by a curved two-nodded mixed finite element based on the Timoshenko beam theory. Some thin-thick closed or open sections are handled and the natural frequencies of cylindrical and non-cylindrical helices are compared with the literature and the commercial finite element program SAP2000.

Vulnerability assessment and retrofit solutions of precast industrial structures

  • Belleri, Andrea;Torquati, Mauro;Riva, Paolo;Nascimbene, Roberto
    • Earthquakes and Structures
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    • v.8 no.3
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    • pp.801-820
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    • 2015
  • The seismic sequence which hit the Northern Italian territory in 2012 produced extensive damage to reinforced concrete (RC) precast buildings typically adopted as industrial facilities. The considered damaged buildings are constituted by one-storey precast structures with RC columns connected to the ground by means of isolated socket foundations. The roof structural layout is composed of pre-stressed RC beams supporting pre-stressed RC floor elements, both designed as simply supported beams. The observed damage pattern, already highlighted in previous earthquakes, is mainly related to insufficient connection strength and ductility or to the absence of mechanical devices, being the connections designed neglecting seismic loads or neglecting displacement and rotation compatibility between adjacent elements. Following the vulnerabilities emerged in past seismic events, the paper investigates the seismic performance of industrial facilities typical of the Italian territory. The European building code seismic assessment methodologies are presented and discussed, as well as the retrofit interventions required to achieve an appropriate level of seismic capacity. The assessment procedure and retrofit solutions are applied to a selected case study.

UNIQUENESS OF IDENTIFYING THE CONVECTION TERM

  • Cheng, Jin;Gen Nakamura;Erkki Somersalo
    • Communications of the Korean Mathematical Society
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    • v.16 no.3
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    • pp.405-413
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    • 2001
  • The inverse boundary value problem for the steady state heat equation with convection term is considered in a simply connected bounded domain with smooth boundary. Taking the Dirichlet to Neumann map which maps the temperature on the boundary to the that flux on the boundary as an observation data, the global uniqueness for identifying the convection term from the Dirichlet to Neumann map is proved.

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REMARKS ON SIMPLY k-CONNECTIVITY AND k-DEFORMATION RETRACT IN DIGITAL TOPOLOGY

  • Han, Sang-Eon
    • Honam Mathematical Journal
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    • v.36 no.3
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    • pp.519-530
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    • 2014
  • To study a deformation of a digital space from the viewpoint of digital homotopy theory, we have often used the notions of a weak k-deformation retract [20] and a strong k-deformation retract [10, 12, 13]. Thus the papers [10, 12, 13, 16] firstly developed the notion of a strong k-deformation retract which can play an important role in studying a homotopic thinning of a digital space. Besides, the paper [3] deals with a k-deformation retract and its homotopic property related to a digital fundamental group. Thus, as a survey article, comparing among a k-deformation retract in [3], a strong k-deformation retract in [10, 12, 13], a weak deformation k-retract in [20] and a digital k-homotopy equivalence [5, 24], we observe some relationships among them from the viewpoint of digital homotopy theory. Furthermore, the present paper deals with some parts of the preprint [10] which were not published in a journal (see Proposition 3.1). Finally, the present paper corrects Boxer's paper [3] as follows: even though the paper [3] referred to the notion of a digital homotopy equivalence (or a same k-homotopy type) which is a special kind of a k-deformation retract, we need to point out that the notion was already developed in [5] instead of [3] and further corrects the proof of Theorem 4.5 of Boxer's paper [3] (see the proof of Theorem 4.1 in the present paper). While the paper [4] refers some properties of a deck transformation group (or an automorphism group) of digital covering space without any citation, the study was early done by Han in his paper (see the paper [14]).

APPROXIMATE FIBRATIONS ON OL MANIFOLDS

  • Im, Young-Ho;Kim, Soo-Hwan
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.3
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    • pp.491-501
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    • 1998
  • If N is any cartesian product of a closed simply connected n-manifold $N_1$ and a closed aspherical m-manifold $N_2$, then N is a codimension 2 fibrator. Moreover, if N is any closed hopfian PL n-manifold with $\pi_iN=0$ for $2 {\leq} i < m$, which is a codimension 2 fibrator, and $\pi_i N$ is normally cohopfian and has no proper normal subroup isomorphic to $\pi_1 N/A$ where A is an abelian normal subgroup of $\pi_1 N$, then N is a codimension m PL fibrator.

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VANISHING PROPERTIES OF p-HARMONIC ℓ-FORMS ON RIEMANNIAN MANIFOLDS

  • Nguyen, Thac Dung;Pham, Trong Tien
    • Journal of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1103-1129
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    • 2018
  • In this paper, we show several vanishing type theorems for p-harmonic ${\ell}$-forms on Riemannian manifolds ($p{\geq}2$). First of all, we consider complete non-compact immersed submanifolds $M^n$ of $N^{n+m}$ with flat normal bundle, we prove that any p-harmonic ${\ell}$-form on M is trivial if N has pure curvature tensor and M satisfies some geometric conditions. Then, we obtain a vanishing theorem on Riemannian manifolds with a weighted $Poincar{\acute{e}}$ inequality. Final, we investigate complete simply connected, locally conformally flat Riemannian manifolds M and point out that there is no nontrivial p-harmonic ${\ell}$-form on M provided that the Ricci curvature has suitable bound.

A GENERALIZED HURWITZ METRIC

  • Arstu, Arstu;Sahoo, Swadesh Kumar
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1127-1142
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    • 2020
  • In 2016, the Hurwitz metric was introduced by D. Minda in arbitrary proper subdomains of the complex plane and he proved that this metric coincides with the Poincaré's hyperbolic metric when the domains are simply connected. In this paper, we provide an alternate definition of the Hurwitz metric through which we could define a generalized Hurwitz metric in arbitrary subdomains of the complex plane. This paper mainly highlights various important properties of the Hurwitz metric and the generalized metric including the situations where they coincide with each other.

Finite Operators and Weyl Type Theorems for Quasi-*-n-Paranormal Operators

  • ZUO, FEI;YAN, WEI
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.885-892
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    • 2015
  • In this paper, we mainly obtain the following assertions: (1) If T is a quasi-*-n-paranormal operator, then T is finite and simply polaroid. (2) If T or $T^*$ is a quasi-*-n-paranormal operator, then Weyl's theorem holds for f(T), where f is an analytic function on ${\sigma}(T)$ and is not constant on each connected component of the open set U containing ${\sigma}(T)$. (3) If E is the Riesz idempotent for a nonzero isolated point ${\lambda}$ of the spectrum of a quasi-*-n-paranormal operator, then E is self-adjoint and $EH=N(T-{\lambda})=N(T-{\lambda})^*$.

Series tuned mass dampers in train-induced vibration control of railway bridges

  • Kahya, Volkan;Araz, Onur
    • Structural Engineering and Mechanics
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    • v.61 no.4
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    • pp.453-461
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    • 2017
  • This paper presents the series multiple tuned mass dampers (STMDs) to suppress the resonant vibrations of railway bridges under the passage of high-speed trains (HSTs). A STMD device consisting of two spring-mass-damper units connected each other in series is installed on the bridge. In solution, bridge is modeled as a simply-supported Euler-Bernoulli beam with constant cross-section, and vehicle is simulated as a series of moving forces with constant speed. By the assumed mode method, the governing equations of motion of the beam-TMD device coupled system traversed by a moving train are obtained. The optimum values for the parameters of the STMD device are obtained for the criterion based on the minimization of the maximum dynamic displacement of the beam at its midspan. Single TMD and multiple TMDs in parallel are also considered for demonstration of the STMD device's performance. The results show that STMDs are effective in bridge vibration suppression and robust to parameters' change in the main system and the absorber itself.