• Geomechanics and Engineering
• /
• 제10권3호
• /
• pp.357-386
• /
• 2016

In this research work, an exact analytical solution for thermal stability of solar functionally graded rectangular plates subjected to uniform, linear and non-linear temperature rises across the thickness direction is developed. It is assumed that the plate rests on two-parameter elastic foundation and its material properties vary through the thickness of the plate as a power function. The neutral surface position for such plate is determined, and the efficient hyperbolic plate theory based on exact neutral surface position is employed to derive the governing stability equations. The displacement field is chosen based on assumptions that the in-plane and transverse displacements consist of bending and shear components, and the shear components of in-plane displacements give rise to the quadratic distribution of transverse shear stress through the thickness in such a way that shear stresses vanish on the plate surfaces. Therefore, there is no need to use shear correction factor. Just four unknown displacement functions are used in the present theory against five unknown displacement functions used in the corresponding ones. The non-linear strain-displacement relations are also taken into consideration. The influences of many plate parameters on buckling temperature difference will be investigated. Numerical results are presented for the present theory, demonstrating its importance and accuracy in comparison to other theories.

• Coupled systems mechanics
• /
• 제9권3호
• /
• pp.237-264
• /
• 2020

This article investigates the static behaviour of functionally graded (FG) plates sometimes declared as advanced composite plates by using a simple and accurate quasi-3D and 2D hyperbolic higher-order shear deformation theories. The properties of functionally graded materials (FGMs) are assumed to vary continuously through the thickness direction according to exponential law distribution (E-FGM). The kinematics of the present theories is modeled with an undetermined integral component and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate; therefore, it does not require the shear correction factor. The fundamental governing differential equations and boundary conditions of exponentially graded plates are derived by employing the static version of principle of virtual work. Analytical solutions for bending of EG plates subjected to sinusoidal distributed load are obtained for simply supported boundary conditions using Navier'is solution procedure developed in the double Fourier trigonometric series. The results for the displacements and stresses of geometrically different EG plates are presented and compared with 3D exact solution and with other quasi-3D and 2D higher-order shear deformation theories to verify the accuracy of the present theory.

• Steel and Composite Structures
• /
• 제41권5호
• /
• pp.697-711
• /
• 2021

In this work, a simple quasi 3-D parabolic shear deformation theory is developed to examine the bending response of antisymmetric cross-ply laminated composite plates under different types of mechanical loading. The main feature of this theory is that, in addition to including the transverse shear deformation and thickness stretching effects, it has only five-unknown variables in the displacement field modeling like Mindlin's theory (FSDT), yet satisfies the zero shear stress conditions on the top and bottom surfaces of the plate without requiring a shear correction factor. The static version of principle of virtual work was employed to derive the governing equations, while the bending problem for simply supported antisymmetric cross-ply laminated plates was solved by a Navier-type closed-form solution procedure. The adequacy of the proposed model is handled by considering the impact of side-to-thickness ratio on bending response of plate through several illustrative examples. Comparison of the obtained numerical results with the other shear deformation theories leads to the conclusion that the present model is more accurate and efficient in predicting the displacements and stresses of laminated composite plates.

• Structural Engineering and Mechanics
• /
• 제86권1호
• /
• pp.1-16
• /
• 2023

The free vibration of temperature-dependent functionally graded plates (FGPs) resting on a viscoelastic foundation is investigated in this paper using a newly developed simple first-order shear deformation theory (FSDT). Unlike other first order shear deformation (FSDT) theories, the proposed model contains only four variables' unknowns in which the transverse shear stress and strain follow a parabolic distribution along the plates' thickness, and they vanish at the top and bottom surfaces of the plate by considering a new shape function. For this reason, the present theory requires no shear correction factor. Linear steady-state thermal loads and power-law material properties are supposed to be graded across the plate's thickness. Uniform, linear, non-linear, and sinusoidal thermal rises are applied at the two surfaces for simply supported FGP. Hamilton's principle and Navier's approach are utilized to develop motion equations and analytical solutions. The developed theory shows progress in predicting the frequencies of temperature-dependent FGP. Numerical research is conducted to explain the effect of the power law index, temperature fields, and damping coefficient on the dynamic behavior of temperature-dependent FGPs. It can be concluded that the equation and transformation of the proposed model are as simple as the FSDT.

• 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.

• 대한기계학회논문집A
• /
• 제38권6호
• /
• pp.655-662
• /
• 2014

본 논문에서는 상온과 원전 설계온도에서 증기발생기 전열관의 축방향과 원주방향 응력-변형률 거동과 인장물성치를 파악하기 위해서, 튜브 시편과 링 시편을 이용하여 상온과 $343^{\circ}C$에서 Alloy 690TT 전열관에 대한 인장시험을 수행하였다. 축방향 인장시험 결과 상온과 $343^{\circ}C$에서 모두 항복점 현상이 관찰되었으며, $343^{\circ}C$에서는 Serration이 관찰되었다. 축방향과 원주방향 모두 상온에 비해 $343^{\circ}C$에서 강도는 감소하였으나 연신율은 거의 변화가 없었다. $343^{\circ}C$에서 가공경화율은 상온에 비해 약간 감소하였으나, 가공경화 거동의 변화는 없었다. 시험 온도에 관계없이 축방향에 비해 원주방향의 항복강도와 인장강도가 약 5 10% 정도 낮았다. 시편 방향에 관계없이 상온 대비 $343^{\circ}C$에서 Alloy 690TT 전열관의 항복강도와 인장강도 감소는 ASME Sec.II의 온도 보정계수에 의해 예측된 것보다 큰 것으로 확인되었다.

• 한국지반신소재학회논문집
• /
• 제20권4호
• /
• pp.19-32
• /
• 2021

본 연구에서는 심층혼합처리공법에 관하여 저자들에 의해 수행된 국내/외 설계, 시공 및 품질관리에 대한 평가와 고찰을 수행하였고, 추후 DCM 공법의 발전을 위한 개선 사항들을 제시하였다. 본 연구 결과, 실내배합실험 시 강도에 대한 단면적 보정이 필요하고, 외삽법 적용 시 실제와 다른 결과가 도출될 수 있으므로 주의가 요구됨을 알 수 있었다. 설계 시 개량율과 개량형식 등을 모두 고려하여 적용 가능한 설계법을 선정해야 하며, 안전율이 적용된 허용압축강도는 안정성 검토를 위한 기준치를 의미하는 것이지 설계 지반정수가 아님을 확인하였다. 응력분담비의 경우 관행적인 값을 적용하기 보다는 설계 조건을 반영한 실험 및 이론적 응력분담비를 산정해야 경제적인 설계를 수행할 수 있었다. 시공 시 선천공이 예상되는 경우 증가된 함수비가 원지반 대비 크지 않은 경우 함수비 증가를 고려하지 못한 결과를 사용하여도 큰 문제가 발생하지 않는 경우도 있었다. 또한, 개량길이 대비 선단처리 길이의 비율이 높은 경우 시공 시 단위길이당 설계 시멘트량이 적게 주입될 수 있음을 확인하였다. 품질관리 시 개량체 코어링은 1축 개량체는 D/4~2D/4, 다축 개량체는 D/4 지점이 최적인 것으로 평가되었다. 품질관리를 위한 항목으로 개량체의 일축압축강도와 더불어 TCR을 고려하는 기준이 국내 실정에 더 적합할 것으로 판단된다.

• 한국수산과학회지
• /
• 제34권6호
• /
• pp.643-651
• /
• 2001

축제식 양식장에서 수차에 의한 순환효과를 재현하기 위해 수치모형을 개발하였다. 수치모형의 지배방정식으로는 2차원 수심적분 Reynolds 방정식을 사용하였고, 수차에 의한 가속도는 축력을 수차날개에 의해 밀려가는 유체의 질량으로 나눈 값으로 산정하였다. 수치모형을 적용하여 1대의 수차를 작동하고서 수차로부터 직선방향 loin 간격으로 관측된 유속자료와 비교하였다. 모형의 보정을 위해 유량보정계수와 무차원 와점성계수의 민감도를 실험하였다. 유량보정계수는 본 연구에서 처음 제시된 항으로 실험결과 15와 20에서 모형의 결과가 관측값과 가장 유사하였다. 유량보정 계수는 관측자료가 없거나 관측이 용이하지 않을 경우 효과적으로 사용할 수 있으며, 특히 수치실험에서 수차에 의해 발생하는 복잡한 수리특성을 비교적 단순하게 처리할 수 있다는 장점이 있다. Reynolds 응력을 Boussinesq 근사로 표현하는 녈 연구에 서 무차원 와점성계수는 6이 가장 적당한 것으로 계산되었다. 바람에 의한 전단효과를 파악하기 위해 유향 $0^{\circ}C,\;90^{\circ}C,\;180^{\circ}C$ 그리고 풍속 0, 2.5, 5와 7.5m/s 조건의 경우를 비교하였다. 풍향이 수차에 의한 제트류 방향과 평행하거나 정반대일 경우 유속변화는$1\%$ 이하이나, 제트류에 직각으로 향할 경우 제트류 좌우의 와류는 풍향에 따라 위치가 뚜렷이 바뀌며, 유속은 약 $4\%$까지 감소하는 것으로 나타났다. 유속변화 $4\%$는 바람응력 외에 호지의 기하학적 평면구조 혹은 변장비 등에 따른 효과도 포함하는 것으로 생각되었다. 호지에 미치는 바람에 의한 유속변화가 $4\%$ 이하인 것으로 보아, 바람웅력의 영향은 매우 미약한 것으로 나타났다. 그러나 호지의 기하학적 특성과 관련한 와류형성 기구에 대해서 바람이 미치는 효과는 무시할 수 없는 것으로 생각되었다. 모형은 또한 축제식 양식장 2곳에 적용하였다. 양식장 호지 A와B는 각기 변장비 1.05와 0.68, 면적 1.02ha와 0.66ha 그리고 평균수심 1.2m를 갖는다. 각각의 호지에 수차 4대를 작동하고서 관측된 유속과 수치모형을 적용한 계산결과를 회귀 해석하였다. 호지A에서 유향 및 유속의 상관계수는 각기 0.8928, 0.6782이며 호지 B의 경우 각기 0.8539, 0.7071인 것으로 나타났다 따라서 본 연구에서 사용된 모형은 호지의 순환특성을 비교적 잘 재현하였으며, 향후 수차운영과 양식호지의 수질관리에 관한 유용한 도구로 사용될 수 있을 것으로 생각하였다.

• 대한통합의학회지
• /
• 제5권1호
• /
• pp.67-74
• /
• 2017

Purpose : Forward head posture is typical neck disorders occur in all people. And this attitude causes a shortening and weakening of the muscles in the body. It also causes excessive extension acts as a reward. This attitude has to change if the pain occurs around the neck and shoulders, and are subjected to unusual stress. Patients with chronic neck pain associated with forward head posture was found to be the more severe the fall of the respiratory, forward head posture poor quality of much breath. The purpose of this study was to compare the effect of changes in forward head posture and neutral head posture on respiratory. Method : Forty volunteers were participated in study and divided into two groups [forward head posture group (n=20) and neutral head posture group (n=20)]. We measured cervical alignment with global postural system to find out a forward head posture. Respiratory function was measured with a SPIROVIT SP-1 equipment and we found out a forced vital capacity (FVC), forced expiratory volume at one second (FEV1) and FEV1/FVC. A pared t-test was used to determine a statistical significance for the pulmonary function variation and a independent t-test was used to determine a statistical significance in the two groups. Results : In the experimental group, FVC and FEV1 were significantly higher in the artificial neutral head posture than in the forward head posture. In the control group, FVC and FEV1 were significantly higher in the neutral head posture than in the forward head posture. FVC, FEV1, and FEV1/ FVC were significantly higher in the neutral head posture of control group than the artificial neutral head posture of experimental group and higher in the artificial forward head posture of control group than the forward head posture of experimental group. Conclusion : In conclusion, neutral head posture is considered to be an important factor in correct posture and improvement of lung function and continuous study of posture correction program for posture imbalance will be needed.