• Title/Summary/Keyword: normal structure

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Probabilistic estimates of corrosion rate of fuel tank structures of aging bulk carriers

  • Ivosevic, Spiro;Mestrovic, Romeo;Kovac, Natasa
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.165-177
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    • 2019
  • This paper considers corrosion wastage of two ship hull structure members as a part of investigated fuel oil tanks of 25 aging bulk carriers. Taking into account that many factors which influence corrosion wastage of ship hull structures are of uncertain nature, the related corrosion rate ($c_1$) is considered here as a real-valued continuous distribution, assuming that the corrosion wastage starts after 5, 6 or 7 years. In all considered cases, by using available data and applying three basic statistical tests, it is established that between two-parameter continuous distributions, normal, Weibull and logistic distributions are best fitted distributions for the mentioned corrosion rate ($c_1$). Note that the presented statistical, numerical and graphical results concerning two mentioned ship hull structure members allow to compare and discuss the corresponding probabilistic estimates for the corrosion rate ($c_1$).

Effect of relaxation time on generalized double porosity thermoelastic medium with diffusion

  • Mohamed I.A. Othman;Nehal T. Mansour
    • Geomechanics and Engineering
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    • v.32 no.5
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    • pp.475-482
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    • 2023
  • This paper studies the effect of the relaxation time on a two-dimensional thermoelastic medium which has a doubly porous structure in the presence of diffusion and gravity. The normal mode analysis is used to obtain the analytic expressions of the physical quantities, which we take the solution form in the exponential image. We have discussed a homogeneous thermoelastic half-space with double porosity with the effect of diffusion and gravity. The equations of generalized thermoelastic material with double porosity structure with one relaxation time have been developed. Moreover, the expressions of many physical quantities are explained. The general solutions, under specific boundary conditions of the problem, were found in some detail. In addition, numerical results are computed.

Some Geometric Constants Related to the Heights and Midlines of Triangles in Banach Spaces

  • Dandan Du;Yuankang Fu;Zhijian Yang;Yongjin Li
    • Kyungpook Mathematical Journal
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    • v.63 no.1
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    • pp.61-78
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    • 2023
  • In this paper, we introduce two new geometric constants related to the heights of triangles: ∆H(X) and ∆h(X, I). We also propose two new geometric constants, ∆m(X) and ∆M(X), related to the midlines of equilateral triangles, and discuss the relation between the heights and midlines in equilateral triangles. We give estimates for these geometric constants in terms of other geometric parameters, and the geometric constants are used to discuss geometric properties such as uniform non-squareness, uniform normal structure, and the fixed point property.

Switchable Spatial Control of Linearly Polarized Light Based on a Liquid-crystal Optical Waveguide

  • Zhengtao, Zha;Qianshu, Zhang
    • Current Optics and Photonics
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    • v.7 no.1
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    • pp.83-89
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    • 2023
  • This study reports a structure, based on a liquid-crystal (LC) core optical waveguide, for the switchable spatial control of linearly polarized light. The refractive indices of both left and right isotropic claddings in the waveguide are between the two principal-axis indices of the nematic liquid crystal (NLC). Numerical simulations demonstrate that the proposed structure can be operated in transmission mode or as an attenuator by controlling the on and off states of the applied voltage, whether the initial excitation is transverse electric (TE) linearly polarized light or transverse magnetic (TM) linearly polarized light. The design can also be used as an integrated optical polarizer, since only one type of linearly polarized light is always permitted to pass through the core zone of the NLC optical waveguide.

Application of numerical methods for dynamic response induced by moving load on concrete shells containing nanoparticles with economic study

  • Taoqian Xie;Wei Han;Haoqi Chang;M.R. Motaghedfer
    • Advances in nano research
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    • v.16 no.3
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    • pp.303-311
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    • 2024
  • This paper conducts a thorough economic evaluation of integrating nanoparticles into concrete structures within the construction industry, aiming to elevate the material properties of concrete. Employing the Halpin-Tsai micromechanics theory for deriving the effective material properties of the nanocomposite concrete structure, the research investigates the nuanced impact of nanoparticles on various mechanical properties, including the modulus of elasticity, compressive strength, and their indirect effects on the percentage of reinforcement. Implementing the Euler theory to formulate the governing equation based on Hamilton's principle, the study delves into the pricing dynamics of nanoparticles and their influence on the overall cost structure of concrete structures. Notably, the findings reveal that a measured increase in the volume percentage of nanoparticles, up to 1%, results in a remarkable 78% improvement in elastic modulus and a substantial 142% reduction in armature percentage. Remarkably, from an economic perspective, the incremental cost associated with the integration of nanoparticles is relatively modest (around $1 per ton of concrete), considering the substantial enhancements in mechanical properties achieved.

Atomic Force Microscopy of Asymmetric Membranes from Turtle Erythrocytes

  • Tian, Yongmei;Cai, Mingjun;Xu, Haijiao;Ding, Bohua;Hao, Xian;Jiang, Junguang;Sun, Yingchun;Wang, Hongda
    • Molecules and Cells
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    • v.37 no.8
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    • pp.592-597
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    • 2014
  • The cell membrane provides critical cellular functions that rely on its elaborate structure and organization. The structure of turtle membranes is an important part of an ongoing study of erythrocyte membranes. Using a combination of atomic force microscopy and single-molecule force spectroscopy, we characterized the turtle erythrocyte membrane structure with molecular resolution in a quasi-native state. High-resolution images both leaflets of turtle erythrocyte membranes revealed a smooth outer membrane leaflet and a protein covered inner membrane leaflet. This asymmetry was verified by single-molecule force spectroscopy, which detects numerous exposed amino groups of membrane proteins in the inner membrane leaflet but much fewer in the outer leaflet. The asymmetric membrane structure of turtle erythrocytes is consistent with the semi-mosaic model of human, chicken and fish erythrocyte membrane structure, making the semi-mosaic model more widely applicable. From the perspective of biological evolution, this result may support the universality of the semi-mosaic model.

ANALYTIC APPROACH TO DEFORMATION OF RESOLUTION OF NORMAL ISOLATED SINGULARITIES: FORMAL DEFORMATIONS

  • Miyajima, Kimio
    • Journal of the Korean Mathematical Society
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    • v.40 no.4
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    • pp.709-725
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    • 2003
  • We give an analytic approach to the versal deformation of a resolution of a germ of normal isolated singularities. In this paper, we treat only formal deformation theory and it is applied to complete the CR-description of the simultaneous resolution of a cone eve. a rational curve of degree n in P$^{n}$ (n $\leq$ 4).

Effect of Autogenous Shrinkage on Shrinkage behavior in High Stength Concrete (자기건조수축을 고려한 고강도 콘크리트의 수축변형 특징에 관한 연구)

  • Paek, Nak-Seung;Cha, Soo-Won;Lee, Seong-Cheol
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.05b
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    • pp.429-432
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    • 2006
  • The shrinkage mechanism of high strength concrete is different from that of normal concrete. The shrinkage of normal concrete is subjected to evaporate moisture in concrete, but most shrinkage in high strength concrete is caused by chemical reaction. To analyze shrinkage of concrete exactly, it is necessary to divide drying shrinkage with autogenous shrinkage in terms of degree of hydration, especially in concrete with low W/C ratio. The proposed method can provide a rational basis for prediction of shrinkage in high strength concrete structure.

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ON SOME SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX PROJECTIVE SPACE

  • Lee, Seong-Baek;Kim, Soo-Jin
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.309-323
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    • 2003
  • In this paper, We characterize a semi-invariant sub-manifold of codimension 3 satisfying ∇$\varepsilon$A = 0 in a complex projective space CP$\^$n+1/, where ∇$\varepsilon$A is the covariant derivative of the shape operator A in the direction of the distinguished normal with respect to the structure vector field $\varepsilon$.

Bayesian Estimation Procedure in Multiprocess Non-Linear Dynamic Normal Model

  • Sohn, Joong-Kweon;Kang, Sang-Gil
    • Communications for Statistical Applications and Methods
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    • v.3 no.1
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    • pp.155-168
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    • 1996
  • In this paper we consider the multiprocess dynamic normal model with parameters having a time dependent non-linear structure. We develop and study the recursive estimation procedure for the proposed model with normality assumption. It turns out thst the proposed model has nice properties such as insensitivity to outliers and quick reaction to abrupt changes of pattern.

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