• 한국방재학회 논문집
• /
• 제7권5호
• /
• pp.47-60
• /
• 2007

본 논문에서는 전단변형률과 회전관성을 고려한 준적합 쉘 요소를 이용한 점진기능재료 판과 쉘의 고유진동수와 좌굴하중을 연구하였다. S 형상 함수를 이용한 세라믹과 금속의체적요소의 변화에 따른 점진기능재료 판과 쉘의 고유치 문제를 연구하였다. 점진기능재료 쉘 요소의 면내 강성, 휨 강성 및 전단 강성의 수식은 등질 요소보다 복잡한 재료의 성질들로 결합되어 있다. 유한요소의 수치적 결과를 검정하기 위해 1차 전단변형 이론에 의한 직사각형 판의 Wavier해를 제시하였다. 적층복합 구조 및 S 형상 점진기능재료 구조의 수치해석해는 Navier의 해로 검증하였으며, S 형상 점진기능재료 구조물의 다양한 예제를 제시하였다. 해석결과는 Navier의 이론해와 아주 잘 일치함을 알 수 있었다.

• Geomechanics and Engineering
• /
• 제18권1호
• /
• pp.85-96
• /
• 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.

• Steel and Composite Structures
• /
• 제43권6호
• /
• pp.821-837
• /
• 2022

This research is devoted to study the effects of humidity and temperature on the bending behavior of functionally graded (FG) ceramic-metal porous plates resting on Pasternak elastic foundation using a quasi-3D hyperbolic shear deformation theory developed recently. The present plate theory with only four unknowns, takes into account both transverse shear and normal deformations and satisfies the zero traction boundary conditions on the surfaces of the functionally graded plate without using shear correction factors. Material properties of porous FG plate are defined by rule of the mixture with an additional term of porosity in the through-thickness direction. The governing differential equations are obtained using the "principle of virtual work". Analytically, the Navier method is used to solve the equations that govern a simply supported FG porous plate. The obtained results are checked by comparing the results determined for the perfect and imperfect FG plates with those available in the scientific literature. Effects due to material index, porosity factors, moisture and thermal loads, foundation rigidities, geometric ratios on the FG porous plate are all examined. Finally, this research will help us to design advanced functionally graded materials to ensure better durability and efficiency for hygro-thermal environments.

• Steel and Composite Structures
• /
• 제42권6호
• /
• pp.779-789
• /
• 2022

This work presents a non-linear cylindrical bending analysis of functionally graded plate reinforced by single-walled carbon nanotubes (SWCNTs) in thermal environment using a simple integral higher-order shear deformation theory (HSDT). This theory does not require shear correction factors and the transverse shear stresses vary parabolically through the thickness. The material properties of SWCNTs are assumed to be temperature-dependent and are obtained from molecular dynamics simulations. The material properties of functionally graded carbon nanotube-reinforced composites (FG-CNTCRs) are considered to be graded in the thickness direction, and are estimated through a micromechanical model. The non-linear strain-displacement relations in the Von Karman sense are used to study the effect of geometric non-linearity and the solution is obtained by minimization of the total potential energy. The numerical illustrations concern the nonlinear bending response of FG-CNTRC plates under different sets of thermal environmental conditions, from which results for uniformly distributed CNTRC plates are obtained as benchmarks.

• Geomechanics and Engineering
• /
• 제34권3호
• /
• pp.233-250
• /
• 2023

This paper investigates the flexural analysis of isotropic, transversely isotropic, and laminated composite plates using a new higher-order normal and shear deformation theory. In the present theory, only five unknown functions are involved compared to six or more unknowns used in the other similar theories. The developed theory does not need a shear correction factor. It can satisfy the zero traction boundary conditions on the top and the bottom surfaces of the plate as well as account for sufficient distribution of the transverse shear strains. The thickness stretching effect is considered in the computation. A simply supported was considered on all edges of the plate. The plate is subjected to uniform and sinusoidal distributed load in the static analysis. Laminated composite, isotropic, and transversely isotropic plates are considered. The governing equations are obtained utilizing the virtual work principle. The differential equations are solved via Navier's procedure. The results obtained from the developed theory are compared with other higher-order theories considered in the previous studies and 3D elasticity solutions. The results showed that the proposed theory accurately and effectively predicts the bidirectional bending responses of laminated composite plates. Several parametric studies are presented to illustrate the various parameters influencing the static response of the laminated composite plates.

• Steel and Composite Structures
• /
• 제44권4호
• /
• pp.451-471
• /
• 2022

In the present paper, the static bending and buckling responses of functionally graded carbon nanotubes-reinforced composite (FG-CNTRC) beam under various boundary conditions are investigated within the framework of higher shear deformation theory. The significant feature of the proposed theory is that it provides an accurate parabolic distribution of transverse shear stress through the thickness satisfying the traction-free boundary conditions needless of any shear correction factor. Uniform (UD) and four graded distributions of CNTs which are FG-O, FG-X, FG- and FG-V are selected here for the analysis. The effective material properties of FG-CNTRC beams are estimated according to the rule of mixture. To model the FG-CNTRC beam realistically, an efficient Hermite-Lagrangian finite element formulation is successfully developed. The accuracy and efficiency of the present model are demonstrated by comparison with published benchmark results. Moreover, comprehensive numerical results are presented and discussed in detail to investigate the effects of CNTs volume fraction, distribution patterns of CNTs, boundary conditions, and length-to-thickness ratio on the bending and buckling responses of FG-CNTRC beam. Several new referential results are also reported for the first time which will serve as a benchmark for future studies in a similar direction. It is concluded that the FG-X-CNTRC beam is the strongest beam that carries the lowest central deflection and is followed by the UD, V, Λ, and FG-O-CNTRC beam. Besides, the critical buckling load belonging to the FG-X-CNTRC beam is the highest, followed by UD and FG-O.

• Advances in nano research
• /
• 제16권5호
• /
• pp.509-519
• /
• 2024

In this study, the static analysis of carbon nanotube-reinforced composites (CNTRC) beams resting on a Winkler-Pasternak elastic foundation is presented. The developed theories account for higher-order variation of transverse shear strain through the depth of the beam and satisfy the stress-free boundary conditions on the top and bottom surfaces of the beam. To study the effect of carbon nanotubes distribution in functionally graded (FG-CNT), we introduce in the equation of CNT volume fraction a new exponent equation. The SWCNTs are assumed to be aligned and distributed in the polymeric matrix with different patterns of reinforcement. The rule of mixture is used to describe the material properties of the CNTRC beams. The governing equations were derived by employing Hamilton's principle. The models presented in this work are numerically provided to verify the accuracy of the present theory. The analytical solutions are presented, and the obtained results are compared with the existing solutions to verify the validity of the developed theories. Many parameters are investigated, such as the Pasternak shear modulus parameter, the Winkler modulus parameter, the volume fraction, and the order of the exponent in the volume fraction equation. New results obtained from bending and stresses are presented and discussed in detail. From the obtained results, it became clear the influence of the exponential CNTs distribution and Winkler-Pasternak model improved the mechanical properties of the CNTRC beams.

• 한국공간구조학회논문집
• /
• 제8권2호
• /
• pp.85-93
• /
• 2008

본 연구는 철근콘크리트 특수모멘트골조(SMF)내 보-기둥 접합부의 비탄성 회전능력에 대한 연구결과를 조사한 것이다. 모든 실험체들은 ACI 318-02에 정의된 설계 및 세부지침에 따라 특수모멘트골조로 분류되었다. AISC(2002)기준에서 모멘트골조의 접합부에 대한 내진성능의 만족 기준을 이용하여 보-기둥 접합부를 평가하였다. 총 39개의 실험체들에 대해 자세하게 조사되었다. 특수모멘트골조에 대한 내진설계기준을 만족하는 대부분의 접합부들은 3%의 소성회전까지 휨강도의 심각한 감소 없이 연성이 유지되었다. 이는 특수모멘트골조 접합부들에 대한 엄격한 콘크리트 내진설계 규정에 따른 것으로 조사되었다. 접합부내의 횡방향 보의 존재는 보-기둥 접합부의 구속력과 전단에 대한 저항성을 증가시킨 것으로 조사되었다 접합부 전단응력에 대한 ACI 328-02 제한조건을 만족하는 모든 특수모멘트골조의 접합부들은 요구되는 내진성능을 만족하는 것으로 나타났다.

• 한국강구조학회 논문집
• /
• 제15권2호
• /
• pp.97-107
• /
• 2003

복합재료 적층판의 보다 정확한 해석결과를 얻기 위해서는 종방향 전단변형, 종방향 수직 변형률/응력에 의한 효과와 두께방향좌표에 관한 면내변위의 비선형 변화등이 고려되어야 한다. 본 연구에서는 3차원 고차이론을 이용하여 복합적층판의 좌굴하중 및 고유진동수를 구하였다. 단순지지된 적층판과 샌드위치의 해는 이중삼각함수형태의 Fourier 급수로 변환한 Navier 해법을 사용하였고, 일차전단변형, 고차전단변형이론에 의한 결과와 비교 분석하였다. 본 연구는 매개변수 즉, 보강각도, 적층수와 배열조건, 폭-두께비, 형상비의 변화에 따른 수치 해석 결과를 제시하였다.

• 한국강구조학회 논문집
• /
• 제28권4호
• /
• pp.231-242
• /
• 2016

대형기둥의 제작성과 시공성을 고려한 철근콘크리트기둥-강재보 접합부의 상세를 제안하였으며, 이를 적용한 접합부의 내진성능을 연구하였다. 접합부의 보강을 위하여, 교차보, 스터드, U형 타이 등의 상세를 고려하였다. 내진성능의 평가를 위해, 2/3 스케일의 대형내부접합부에 대하여 반복가력실험을 수행하였다. 실험체들은 층간변위비 4.0%를 넘는 우수한 변형능력을 발휘하였으며, 보의 항복과 접합부의 항복이 동시에 발생하였다. 최종적으로는, 접합부의 전단파괴로 하중이 감소하였다. 실험강도는 기존 설계모델과 비교되었다.