• Title/Summary/Keyword: Eigenvalue Analysis

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A study on Anxiety Factors that College Students and Elderly People Feel during the Dental Treatment, Seoul Area (서울지역 대학생 및 장년층이 치과 진료 시 느끼는 불안요인에 관한 연구)

  • Lee, Yun-Hee;Yoon, Seo-Ha;Song, Jae Chul;Song, Yun-Sin;Sim, Sang-Hyo
    • The Journal of Korean Society for School & Community Health Education
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    • v.15 no.3
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    • pp.67-80
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    • 2014
  • Objectives: This study is aimed to analyze the influential factors on the fear that college students and elderly people feel during the dental treatment and provide basic data needed to develop a plan which can lead them to have a positive perspective on dentistry. Methods: A questionnaire was distributed to 241 outpatients (39 college students, 202 elderly people) visiting dental clinic of 'K' University Hospital in Seoul from January to April, 2013. It was filled in a self-administered manner and collected right away. Results: factor analysis, three factors were configured when the factors with 1.0 or higher of eigenvalue were extracted using 19 questions through which dental fear and anxiety were measured against college students and elderly people. The questionnaires were classified into three categories: Factor I (stimulus response), Factor II (avoidance of the treatment) and Factor III (physiological response which occurs when a patient feels fear). As a result, it was confirmed that the questionnaire tool is highly feasible. In college students, the responses they felt during the dental treatment in the said three factors were as follows: 52.00% in Factor II, 14.14% in Factor II and 6.99% in Factor III (73.129% in total). In elderly people, on the contrary, they were 52.41% in Factor I, 10.57% in Factor II and 7.98% in Factor III (70.958% in total), lower than the college student group. Conclusions: This study is significant in that it confirmed complex relations between dental fear and related variables against college students and elderly people.

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A new and simple HSDT for thermal stability analysis of FG sandwich plates

  • Menasria, Abderrahmane;Bouhadra, Abdelhakim;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.25 no.2
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    • pp.157-175
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    • 2017
  • The novelty of this work is the use of a new displacement field that includes undetermined integral terms for analyzing thermal buckling response of functionally graded (FG) sandwich plates. The proposed kinematic uses only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional higher shear deformation theories (HSDTs). The theory considers a trigonometric variation of transverse shear stress and verifies the traction free boundary conditions without employing the shear correction factors. Material properties of the sandwich plate faces are considered to be graded in the thickness direction according to a simple power-law variation in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are assumed as uniform, linear and non-linear temperature rises within the thickness direction. An energy based variational principle is employed to derive the governing equations as an eigenvalue problem. The validation of the present work is checked by comparing the obtained results the available ones in the literature. The influences of aspect and thickness ratios, material index, loading type, and sandwich plate type on the critical buckling are all discussed.

A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation

  • Boukhlif, Zoulikha;Bouremana, Mohammed;Bourada, Fouad;Bousahla, Abdelmoumen Anis;Bourada, Mohamed;Tounsi, Abdelouahed;Al-Osta, Mohammed A.
    • Steel and Composite Structures
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    • v.31 no.5
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    • pp.503-516
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    • 2019
  • This work presents a dynamic investigation of functionally graded (FG) plates resting on elastic foundation using a simple quasi-3D higher shear deformation theory (quasi-3D HSDT) in which the stretching effect is considered. The culmination of this theory is that in addition to taking into account the effect of thickness extension (${\varepsilon}_z{\neq}0$), the kinematic is defined with only 4 unknowns, which is even lower than the first order shear deformation theory (FSDT). The elastic foundation is included in the formulation using the Pasternak mathematical model. The governing equations are deduced through the Hamilton's principle. These equations are then solved via closed-type solutions of the Navier type. The fundamental frequencies are predicted by solving the eigenvalue problem. The degree of accuracy of present solutions can be shown by comparing it to the 3D solution and other closed-form solutions available in the literature.

Investigation of wave propagation in anisotropic plates via quasi 3D HSDT

  • Bouanati, Soumia;Benrahou, Kouider Halim;Atmane, Hassen Ait;Yahia, Sihame Ait;Bernard, Fabrice;Tounsi, Abdelouahed;Bedia, E.A. Adda
    • Geomechanics and Engineering
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    • v.18 no.1
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    • pp.85-96
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    • 2019
  • A free vibration analysis and wave propagation of triclinic and orthotropic plate has been presented in this work using an efficient quasi 3D shear deformation theory. The novelty of this paper is to introducing this theory to minimize the number of unknowns which is three; instead four in other researches, to studying bulk waves in anisotropic plates, other than it can model plates with great thickness ratio, also. Another advantage of this theory is to permits us to show the effect of both bending and shear components and this is carried out by dividing the transverse displacement into the bending and shear parts. Hamilton's equations are a very potent formulation of the equations of analytic mechanics; it is used for the development of wave propagation equations in the anisotropic plates. The analytical dispersion relationship of this type of plate is obtained by solving an eigenvalue problem. The accuracy of the present model is verified by confronting our results with those available in open literature for anisotropic plates. Moreover Numerical examples are given to show the effects of wave number and thickness on free vibration and wave propagation in anisotropic plates.

Eigen-Frequency of a Cantilever Beam Restrained with Added Mass and Spring at Free End or a Node Point (자유단 혹은 노드점에 작용하는 스프링과 부가질량을 받는 일단 지지보의 고유진동수)

  • Sim, Woo-Gun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.12
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    • pp.32-40
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    • 2018
  • In order to avoid excessive vibration, it is required to carry out a vibration analysis of heat-exchanger/nuclear-reactor at the design stage. Information of eigen-frequency in the vibration problem is required to evaluate safety of heat-exchange/nuclear reactor. This paper describes a numerical method, Galerkin's method, to solve the eigenvalue problem occurred in a cantilever beam. The beam is restrained with added mass and spring at the free end or a node point of a mode shape. The numerical results of eigen-frequency were compared with simple analytical and experimental results given by simple approach and simple test, respectively. It is found that Galerkin's method is applicable to estimate the eigen-frequency of the cantilever beam. The frequencies become lower with increasing the added mass and the frequencies increase with the spring force. It is shown the heavy added mass has a role of support on the flexible tube. The eigen-frequency of the first mode, for the system with the added mass mounted at the free end, can be calculated by the approximate analytical method existing with more or less accuracy.

Jacobian-free Newton Krylov two-node coarse mesh finite difference based on nodal expansion method

  • Zhou, Xiafeng
    • Nuclear Engineering and Technology
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    • v.54 no.8
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    • pp.3059-3072
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    • 2022
  • A Jacobian-Free Newton Krylov Two-Nodal Coarse Mesh Finite Difference algorithm based on Nodal Expansion Method (NEM_TNCMFD_JFNK) is successfully developed and proposed to solve the three-dimensional (3D) and multi-group reactor physics models. In the NEM_TNCMFD_JFNK method, the efficient JFNK method with the Modified Incomplete LU (MILU) preconditioner is integrated and applied into the discrete systems of the NEM-based two-node CMFD method by constructing the residual functions of only the nodal average fluxes and the eigenvalue. All the nonlinear corrective nodal coupling coefficients are updated on the basis of two-nodal NEM formulation including the discontinuity factor in every few newton steps. All the expansion coefficients and interface currents of the two-node NEM need not be chosen as the solution variables to evaluate the residual functions of the NEM_TNCMFD_JFNK method, therefore, the NEM_TNCMFD_JFNK method can greatly reduce the number of solution variables and the computational cost compared with the JFNK based on the conventional NEM. Finally the NEM_TNCMFD_JFNK code is developed and then analyzed by simulating the representative PWR MOX/UO2 core benchmark, the popular NEACRP 3D core benchmark and the complicated full-core pin-by-pin homogenous core model. Numerical solutions show that the proposed NEM_TNCMFD_JFNK method with the MILU preconditioner has the good numerical accuracy and can obtain higher computational efficiency than the NEM-based two-node CMFD algorithm with the power method in the outer iteration and the Krylov method using the MILU preconditioner in the inner iteration, which indicates the NEM_TNCMFD_JFNK method can serve as a potential and efficient numerical tool for reactor neutron diffusion analysis module in the JFNK-based multiphysics coupling application.

An integral quasi-3D computational model for the hygro-thermal wave propagation of imperfect FGM sandwich plates

  • Abdelouahed Tounsi;Saeed I. Tahir;Mohammed A. Al-Osta;Trinh Do-Van;Fouad Bourada;Abdelmoumen Anis Bousahla;Abdeldjebbar Tounsi
    • Computers and Concrete
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    • v.32 no.1
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    • pp.61-74
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    • 2023
  • This article investigates the wave propagation analysis of the imperfect functionally graded (FG) sandwich plates based on a novel simple four-variable integral quasi-3D higher-order shear deformation theory (HSDT). The thickness stretching effect is considered in the transverse displacement component. The presented formulation ensures a parabolic variation of the transverse shear stresses with zero-stresses at the top and the bottom surfaces without requiring any shear correction factors. The studied sandwich plates can be used in several sectors as areas of aircraft, construction, naval/marine, aerospace and wind energy systems, the sandwich structure is composed from three layers (two FG face sheets and isotropic core). The material properties in the FG faces sheet are computed according to a modified power law function with considering the porosity which may appear during the manufacturing process in the form of micro-voids in the layer body. The Hamilton principle is utilized to determine the four governing differential equations for wave propagation in FG plates which is reduced in terms of computation time and cost compared to the other conventional quasi-3D models. An eigenvalue equation is formulated for the analytical solution using a generalized displacements' solution form for wave propagation. The effects of porosity, temperature, moisture concentration, core thickness, and the material exponent on the plates' dispersion relations are examined by considering the thickness stretching influence.

The Effects of Soil factors on the Growth in Populus euramericana Guinier (토양인자(土壤因子)가 이태리 포플러의 생장(生長)에 미치는 영향)

  • Son, Doo Sik;Hong, Sung Chun;Joo, Sung Hyun
    • Current Research on Agriculture and Life Sciences
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    • v.14
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    • pp.49-60
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    • 1996
  • In order to evaluate soil factors affecting the growth of Italian poplar, 23 areas planted with Italian poplar were surveyed. These 23 areas were classified into 3 categories, river-side, fallow-land and hill-side. The growth performance and soil factors for each area were investigated. The growth of Italian poplar at river-side was shown to be superior to that of fallow-land and fill-side. The rates of growth for fallow-land and hill-side are decreased by 8% and 21% compared to those of river-side, respectively. This suggests that plantation of Italian poplar at hill-side would not be profitable. Soil conditions of high productive area appeared liquid phase 20%, porosity 45%, water holding capacity 35 - 40%, soil hardness $1kg/cm^3$. pH 6 and rich in organic matter and total nitrogen. The results of factor analysis for soil factors affecting to Italian poplar growth that showed eigenvalue over 1 and communality value over 70% explained factor 1 : liquid phase, porosity and water holding capacity, factor 2 : pH and calcium, and factor 3 : soil hardness. This suggests that physical characteristics of soil is more important than chemical characteristics for Italian poplar growth. Multiregerssion analysis was conducted between diameter growth and soil hardness, liquid phase and calcium. The t-values for each independent variables showed significance at 1 - 10% level, but water holding capacity and pH are not significant. It is supposed that sites suitable to Italian poplar were alluvial plain of sandy loam or part of banking soil, well-ventilating soil, lower soil hardness, apposite soil moisture absorbing with about 100cm of ground water level, plentiful organic matters and total nitrogen and little acidity soil.

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Sakurajima volcano eruption detected by GOCI and geomagnetic variation analysis - A case study of the 18 Aug, 2013 eruption - (천리안 위성영상에 감지된 사쿠라지마 화산분화와 지자기 변동 분석 연구 - 2013년 8월 18일 분화를 중심으로 -)

  • Kim, Kiyeon;Hwang, Eui-Hong;Lee, Yoon-Kyung;Lee, Chang-Wook
    • Korean Journal of Remote Sensing
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    • v.30 no.2
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    • pp.259-274
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    • 2014
  • On Aug 18, 2013, Sakurajima volcano in Japan erupted on a relatively large-scale. Geostationary Ocean Color Imager (GOCI) had used to detect volcanic ash in the surrounding area on the next day of this eruption. The geomagnetic variation has been analyzed using geomagnetic data from Cheongyang observatory in Korea and several geomagnetic observatories in Japan. First, we reconstruct geomagnetic data by principal component analysis and conduct semblance analysis by wavelet transform. Secondly, we minimize the error of solar effect by using wavelet based semblance filtering with Kp index. As a result of this study, we could confirm that the geomagnetic variation usually occur at the moment of Sakurajima volcano eruption. However, we cannot rule out the possibilities that it could have been impacted by other factors besides volcanic eruption in other variation's cases. This research is an exceptional study to analyze geomagnetic variation related with abroad volcanic eruption uncommonly in Korea. Moreover, we expect that it can help to develop further study of geomagnetic variation involved in earthquake and volcanic eruption.

Vibration Analysis of Thick Hyperboloidal Shells of Revolution from a Three-Dimensional Analysis (두꺼운 축대칭 쌍곡형 쉘의 3차원 진동해석)

  • 심현주;강재훈
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.4
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    • pp.419-429
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    • 2003
  • A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies of thick, hyperboloidal shells of revolution. Unlike conventional shell theories, which are mathematically two-dimensional (2-D), the present method is based upon the 3-D dynamic equations of elasticity. Displacement components u/sub r/, u/sub θ/, u/sub z/ in the radial, circumferential, and axial directions, respectively, we taken to be sinusoidal in time, periodic in θ, and algebraic polynomials in the r and z directions. Potential(strain) and kinetic energies of the hyperboloidal shells are formulated, and the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four digit exactitude is demonstrated for the first five frequencies of the hyperboloidal shells of revolution. Numerical results are tabulated for eighteen configurations of completely free hyperboloidal shells of revolution having two different shell thickness ratios, three variant axis ratios, and three types of shell height ratios. Poisson's ratio (ν) is fixed at 0.3. Comparisons we made among the frequencies for these hyperboloidal shells and ones which ate cylindrical or nearly cylindrical( small meridional curvature. ) The method is applicable to thin hyperboloidal shells, as well as thick and very thick ones.