• Steel and Composite Structures
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• 제44권1호
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• pp.17-31
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• 2022

This investigation studies the characteristics of wave dispersion in sigmoid functionally graded (SFG) curved beams lying on an elastic substrate for the first time. Homogenization process was performed with the help of sigmoid function and two power laws. Moreover, various materials such as Zirconia, Alumina, Monel and Nickel steel were explored as curved beams materials. In addition, curved beams were rested on an elastic substrate which was modelled based on Winkler-Pasternak foundation. The SFG curved beams' governing equations were derived according to Euler-Bernoulli curved beam theory which is known as classic beam theory and Hamilton's principle. The resulted governing equations were solved via an analytical method. In order to validate the utilized method, the obtained outcomes were compared with other researches. Finally, the influences of various parameters, including wave number, opening angle, gradient index, Winkler coefficient and Pasternak coefficient were evaluated and indicated in the form of diagrams.

• Steel and Composite Structures
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• 제41권6호
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• pp.851-860
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• 2021

In this paper, a new approach of interface stress analysis in steel beam strengthened by porous FGM (Functionally Graded Materials) is presented to calculate the shear stress in the hybrid steel beam and loaded by a uniformly distributed load. The results show that there exists a high concentration of shear stress at the ends of the imperfect FGM, which might result in premature failure of the strengthening scheme at these locations. A parametric study has been conducted to investigate the sensitivity of interface behavior to parameters such as the rigidity of FGM plate (degree of homogeneity), the porosity index of FGM and the thickness of adhesive all were found to have a marked effect on the magnitude of maximum shear stress in the FGM member. we can conclude that the new approach is general in nature and may be applicable to all kinds of materials.

• Steel and Composite Structures
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• 제43권2호
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• pp.185-200
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• 2022

A Closed-form solution for dynamic response of a functionally graded (FG) nonlocal nanobeam due to action of moving harmonic load is presented in this paper. Due to analyzing in small scale, a nonlocal elasticity theory is utilized. The governing equation and boundary conditions are derived based on the Euler-Bernoulli beam theory and Hamilton's principle. The material properties vary through the thickness direction. The harmonic moving load is modeled by Delta function and the FG nanobeam is simply supported. Using the Laplace transform the dynamic response is obtained. The effect of important parameters such as excitation frequency, the velocity of the moving load, the power index law of FG material and the nonlocal parameter is analyzed. To validate, the results were compared with previous literature, which showed an excellent agreement.

• Steel and Composite Structures
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• 제47권2호
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• pp.297-313
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• 2023

This study aims to extend the application of the spectral element method (SEM) to wave propagation and free vibration analysis of functionally graded (FG) plates integrated with thin piezoelectric layers, plates with tapered thickness and structure on elastic foundations. Also, the dynamic response of the smart FG plate under impact and moving loads is presented. In this paper, the dynamic stiffness matrix of the smart rectangular FG plate is determined by using the exact dynamic shape functions based on Mindlin plate assumptions. The low computational time and results' independence with the number of elements are two significant features of the SEM. Also, to prove the accuracy and efficiency of the SEM, results are compared with Abaqus simulations and those reported in references. Furthermore, the effects of boundary conditions, power-law index, piezoelectric layers thickness, and type of loading on the results are studied.

• Steel and Composite Structures
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• 제47권6호
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• pp.795-811
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• 2023

When studying the resonance problem of nanoplates, the existing papers do not consider the influences of geometric nonlinearity and initial geometric imperfection, so this paper is to fill this gap. In this paper, based on the nonlocal strain gradient theory (NSGT), the nonlinear resonances of functionally graded (FG) nanoplates with initial geometric imperfection under different boundary conditions are established. In order to consider the small size effect of plates, nonlocal parameters and strain gradient parameters are introduced to expand the assumptions of the first-order shear deformation theory. Subsequently, the equations of motion are derived using the Euler-Lagrange principle and solved with the help of perturbation method. In addition, the effects of initial geometrical imperfection, functionally graded index, strain gradient parameter, nonlocal parameter and porosity on the nonlinear forced vibration behavior of nanoplates under different boundary conditions are discussed.

• Steel and Composite Structures
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• 제44권6호
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• pp.829-843
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• 2022

This manuscript work presents a comprehensive continuum model capable to investigate the effect of porosity on vibro-acoustic behaviour of functionally graded (FG) beams resting on an elastic foundation subjected to thermal and mechanical loadings. Effects of uniform temperature rise and edge compressive load on the sound radiation characteristics are studied in a comparative manner. The numerical analysis is carried out by combining finite element method with Rayleigh's integral. Detailed parametric studies are accomplished, and influences of power law index, porosity volume, porosity distribution and boundary conditions on the vibro-acoustic response characteristics are analyzed. It is found that the vibro-acoustic response under mechanical edge compression is entirely different compared to from that under the thermal load. Furthermore, nature of grading of porosity affects the sound radiation behaviour for both the loads. The proposed model can be used to obtain the suppression performance of vibration and noise FG porous beams under thermal and mechanical loads.

• Steel and Composite Structures
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• 제51권2호
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• pp.103-116
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• 2024

Based on the consistent couple stress theory (CCST), we develop a unified formulation for analyzing the static bending and free vibration behaviors of functionally graded (FG) microscale beams (MBs). The strong forms of the CCST-based Euler-Bernoulli, Timoshenko, and Reddy beam theories, as well as the CCST-based sinusoidal, exponential, and hyperbolic shear deformation beam theories, can be obtained by assigning some specific shape functions of the shear deformations varying through the thickness direction of the FGMBs in the unified formulation. The above theories are thus included as special cases of the unified CCST. A comparative study between the results obtained using a variety of CCST-based beam theories and those obtained using their modified couple stress theory-based counterparts is carried out. The impacts of some essential factors on the deformation, stress, and natural frequency parameters of the FGMBs are examined, including the material length-scale parameter, the aspect ratio, and the material-property gradient index.

• 콘크리트학회논문집
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• 제25권4호
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• pp.429-438
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• 2013

콘크리트 장기변형이 합성단면과 부재의 경계조건에 의해 내 외부 구속된 구조물에 단계별계산법(SSM)을 적용하 기위해 축-휨 요소가 적용된 객체지향 전산구조해석 프로그램이 개발되었다. 단순 및 연속 지지된 PS 콘크리트 박스 및 합성거더, 연속 강합성거더의 조립식 바닥판, 단순 프리플렉스 합성거더에 대한 SSM의 전산구조해석 결과 구속정도가 클수록 수정계수는 감소하였다. 수정계수의 감소에 대해 선인장의 손실률에는 큰 변화가 없으나, 선압축의 손실률은 급격히 증가하였다. 연속보의 내부지점에서 선압축의 손실률은 더욱 증가하였다. 이는 선인장의 손실에 기초한 설계는 내 외부 구속 정도가 큰 구조물에 대한 선압축의 손실을 과소평가할 수 있음을 보여준다. 전산구조해석을 만족하는 크리프의 수정계수는 0.35~0.95의 값이었으며, 수정 계수는 콘크리트 장기변형의 내 외부 구속의 정도를 나타내는 지표로 사용될 수 있다. 도로교설계기준의 수정계수 0.5는 긴장력이 도입된 강합성단면의 조립식 바닥판에 대해서는 부적절하며, 2007년 도입된 AASHTO LRFD 도로교설계기준(2008)과 한계상태에 대한 도로교설계기준의 긴장력 손실에 적용된 수정계수 0.7과 0.8은 PS 콘크리트 합성거더의 연속화에 대한 손실률을 과소평가한다. 복합구조 합성단면의 수정계수는 0.4 이하의 값이 적절하다.

• 대한소아치과학회지
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• 제46권3호
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• pp.310-317
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• 2019

이 연구의 목적은 12세 이하 어린이의 영구치에서 복합레진 수복물의 생존율을 후향적으로 평가하고 치아 및 환자에 관련된 요인에 따른 복합레진 재수복 위험도를 분석하는 데 있다. 2010년 7월부터 2012년 7월까지 우식증에 이환된 제1대구치에 복합레진 수복을 진행한 어린이(6 - 12세) 172명의 전자의무기록 및 방사선 사진을 분석하였다. 치아의 종류, 와동의 형태 등 치아에 관련된 요인과 어린이의 연령, 우식 위험도 등 환자에 관련된 요인에 따른 복합레진 재수복 위험도를 분석하였다. 우식 위험도는 어린이의 만 5세 때 기록을 바탕으로 유구치에 한정한 우식경험유치지수를 산정하여 평가하였다. 354개의 수복물 중 272개의 수복물이 생존하였고, 82개의 수복물이 관찰 기간 내에 재수복되었고 전체 수복물의 5년 누적 생존율은 73.9%로 산출되었다. 재수복 원인의 81.7%는 이차우식이 차지하였다. 어린이의 연령이 높을수록, 우식 저위험군일수록 복합레진의 수복물의 생존율은 높은 경향을 나타냈으나, 유의한 차이를 나타내지 않았다. 수복된 치아의 위치 또한 복합레진의 생존율에 유의한 영향을 주지 않았다. 수복된 와동의 종류는 생존율에 유의한 영향을 주는 요인이었다(p = 0.002).

• Composites Research
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• 제32권5호
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• pp.284-289
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• 2019

본 논문에서는 KIA K3 (1.6) 가솔린 자동차의 연비(km/liter)식을 동력학적 힘-모멘트 평형 방정식, 구동력 및 에너지 방정식을 구성하고 분석하여 유도하였다. 이를 통해 차량의 속도(V), 자동차 총 중량(M), 타이어-노면의 롤링저항계수($C_r$), 도로 경사각(${\theta}$)과 항력계수($C_d$), 차량의 횡단면적(A)과 같은 공기역학적 매개변수가 자동차의 연비에 미치는 영향을 분석하였다. 또한 경량금속합금, 섬유강화 플라스틱 복합재료와 같은 대체재료가 기존 자동차의 강재, 주철재를 대체하여 차량의 무게를 줄일 수 있는 가능성 등을 Ashby의 재료지수 방법으로 조사하였다. 본 연구를 통해 다음과 같은 결과를 얻었다. 고속(100km/h)에서 연비에 가장 큰 영향을 미친 매개변수는 그 크기순으로 자동차의 속도 V와 공기역학적 매개변수인 $C_d$, A, ${\rho}$ 및 동력학적 매개변수인 $C_r$, M의 순서로 조사되었다. 반면에 저속(60 km/h)에서는 동력학적 매개변수로는 V, M, $C_r$의 순서로, 공기역학적 매개변수로는 $C_d$, A, ${\rho}$ 순으로 영향을 미침을 확인하였다.