• Steel and Composite Structures
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• 제49권3호
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• pp.293-306
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• 2023

This article focuses on the study of the buckling behavior of two-dimensional functionally graded (2D-FG) nanosize tubes, including porosity, based on the first shear deformation and higher-order theory of the tube. The nano-scale tube is simulated using the nonlocal gradient strain theory, and the general equations and boundary conditions are derived using Hamilton's principle for the Zhang-Fu's tube model (as a higher-order theory) and Timoshenko beam theory. Finally, the derived equations are solved using a numerical method for both simply-supported and clamped boundary conditions. A parametric study is performed to investigate the effects of different parameters, such as axial and radial FG power indices, porosity parameter, and nonlocal gradient strain parameters, on the buckling behavior of the bi-dimensional functionally graded porous tube. Keywords: Nonlocal strain gradient theory; buckling; Zhang-Fu's tube model; Timoshenko theory; Two-dimensional functionally graded materials; Nanotubes; Higher-order theory.

• Composites Research
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• 제27권4호
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• pp.158-167
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• 2014

본 연구의 궁극적 목표는 현장의 구조설계자들이 복합재 평판의 전단좌굴 설계허용치를 설정할 때 사용할 수 있는 환산계수(이론값과 실험값의 차이를 보정하는 계수)를 제공하는 것이다. 이를 위해서는 광범위한 시험과 해석이 필요하며, 본 연구에서는 일단계로, 복합재 평판의 전단좌굴시험을 위해 단축인장하중을 받는 프레임 형태의 치구를 설계하고, 시험과 해석을 수행하여 그 타당성을 검토하였다. 치구의 최종 형상은 시편의 크기, 치구의 치수, 체결볼트의 수 등의 변수들이 전단좌굴하중에 미치는 영향에 대한 인자연구를 통해 결정하였다. 시험 및 해석 결과, 설계된 프레임이 의도한대로 전단좌굴을 효과적으로 유도하는 것을 확인하였다. 그러나 시험에서는 시편이 치구에 고정되어야 하므로 시편의 크기가 달라지게 되어, 시험값과 해석값의 차이가 존재하였다. 특히 원공이 커질수록, 또한 단순지지 경계조건일 경우에는 그 차이가 더 크게 나타났다. 본 연구의 결과 고정지지 전단좌굴의 경우 설계된 프레임 형태 치구를 그대로 사용할 수 있을 것으로 보이지만, 단순지지 경계일 경우 경계조건 설정방법의 수정이 필요할 것으로 판단된다.

• 전산구조공학
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• 제10권4호
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• pp.165-175
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• 1997

본 연구에서는 현재 자동차구조에 사용되고 있는 점용접 보강 리어사이드 프레임, 비보강 리어사이드 프레임 및 레이저 용접을 이용한 이종두께 리어사이드 프레임의 응력, 좌굴 및 진동해석이 수행되었다. 응력 및 진동해석의 경계조건은 양단고정이며, 좌굴해석시에는 단순지지 경계조건을 사용하였다. 구조해석에는 ANSYS 5.0 Code를 사용하였다. 점용접된 리어사이드 프레임의 최대응력은 메인프레임에서 발생하였으며, 그값은 80.9MPa이다. 이때의 최대변형률은 501.mu.이다. 이종두께 레이저 용접된 리어사이드 프레임은 두께가 1.8mm일 때 점용접 보강 리어사이드 프레임의 최대응력과 같아진다. 따라서 동일등가 응력을 기준으로 할 때 레이저 용접을 이용하면 중량을 17.2% 줄일 수 있다. 양단 단순지지된 보강 점용접 리어사이드 프레임의 좌굴하중은 52.54kN이다. 이때 동일한 좌굴하중을 갖는 이종두께 레이저 프레임의 두께는 1.9mm이다. 따라서 중량을 15% 감소시킬 수 있다. 보강된 점용접 리어사이드 프레임의 고유진동수는 163.6Hz로 굽힘모드이며, 이종두께 레이저 용접 리어사이드 프레임의 고유진동수는 179.8Hz이다.

• 한국강구조학회 논문집
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• 제10권4호통권37호
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• pp.691-700
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• 1998

본 연구에서는 역대칭 또는 비대칭 적층쉘에 대한 Von Karman-Donnell 운동방정식을 기초로 한 다중 모드 접근법을 이용하여 양단이 단순지지 되고 다른 임의지지가 단순 또는 고정지지인 원통 쉘의 비선형 거동에 대해 연구하였다. 방정식은 모든 경계조건에 대해 만족하며, 변위함수는 최저 진동모드와 원주 방향의 변위의 연속성 조건을 만족하는 것으로 한다 비선형 진동 방정식은 Galerkin 법을 이용하여 유도하였고, 비선형 진동수는 조화평균법을 이용하여 적층 매개변수, 재료 상수, 종횡비 및 진동 진폭의 함수로서 표시하였다. 초기 진폭의 영향에 대해서는 4가지 형태의 경계조건에 대한 비선형 진동 결과를 비교 검토하였다.

• Steel and Composite Structures
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• 제33권5호
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• pp.717-727
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• 2019

This paper is motivated by the lack of studies in the technical literature concerning to vibration analysis of a single-layered graphene sheet (SLGS) with corner cutout based on the nonlocal elasticity model framework of classical Kirchhoff thin plate. An isogeometric analysis (IGA) based upon non-uniform rational B-spline (NURBS) is employed for approximation of the L-shape SLGS deflection field. Trimming technique is employed to create the cutout in geometry of L-shape plate. The L-shape plate is assumed to be Free (F) in the straight edges of cutout while any arbitrary boundary conditions are applied to the other four straight edges including Simply supported (S), Clamped (C) and Free (F). The Numerical studies are carried out to express the influences of the nonlocal parameter, cutout dimensions, boundary conditions and mode numbers on the variations of the natural frequencies of SLGS. It is precisely shown that these parameters have considerable effects on the free vibration behavior of the system. In addition, numerical results are validated and compared with those achieved using other analysis, where an excellent agreement is found. The effectiveness and the accuracy of the present IGA approach have been demonstrated and it is shown that the IGA is efficient, robust and accurate in terms of nanoplate problems. This study serves as a benchmark for assessing the validity of numerical methods used to analyze the single-layered graphene sheet with corner cutout.

• Steel and Composite Structures
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• 제44권1호
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• pp.65-79
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• 2022

The main goal of this paper is to study the vibration of damaged core laminated annular plates with FG face sheets based on a three-dimensional theory of elasticity. The structures are made of a damaged isotropic core and two external face sheets. These skins are strengthened at the nanoscale level by randomly oriented Carbon nanotubes (CNTs) and are reinforced at the microscale stage by oriented straight fibers. These reinforcing phases are included in a polymer matrix and a three-phase approach based on the Eshelby-Mori-Tanaka scheme and on the Halpin-Tsai approach, which is developed to compute the overall mechanical properties of the composite material. In this study the effect of microcracks on the vibrational characteristic of the sandwich plate is considered. In particular, the structures are made by an isotropic core that undergoes a progressive uniform damage, which is modeled as a decay of the mechanical properties expressed in terms of engineering constants. These defects are uniformly distributed and affect the central layer of the plates independently from the direction, this phenomenon is known as "isotropic damage" and it is fully described by a scalar parameter. Three complicated equations of motion for the sectorial plates under consideration are semi-analytically solved by using 2-D differential quadrature method. Using the 2-D differential quadrature method in the r- and z-directions, allows one to deal with sandwich annular plate with arbitrary thickness distribution of material properties and also to implement the effects of different boundary conditions of the structure efficiently and in an exact manner. The fast rate of convergence and accuracy of the method are investigated through the different solved examples. The sandwich annular plate is assumed to have any arbitrary boundary conditions at the circular edges including simply supported, clamped and, free. Several parametric analyses are carried out to investigate the mechanical behavior of these multi-layered structures depending on the damage features, through-the-thickness distribution, and boundary conditions.

• Steel and Composite Structures
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• 제46권3호
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• pp.367-383
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• 2023

In this investigation, an improved integral trigonometric shear deformation theory is employed to examine the vibrational behavior of the functionally graded (FG) sandwich plates resting on visco-Pasternak foundations. The studied structure is modelled with only four unknowns' variables displacements functions. The simplicity of the developed model being in the reduced number of variables which was made with the help of the use of the indeterminate integral in the formulation. The current kinematic takes into consideration the shear deformation effect and does not require any shear correction factors as used in the first shear deformation theory. The equations of motion are determined from Hamilton's principle with including the effect of the reaction of the visco-Pasternak's foundation. A Galerkin technique is proposed to solve the differentials governing equations, which enables one to obtain the semi-analytical solutions of natural frequencies for various clamped and simply supported FG sandwich plates resting on visco-Pasternak foundations. The validity of proposed model is checked with others solutions found in the literature. Parametric studies are performed to illustrate the impact of various parameters as plate dimension, layer thickness ratio, inhomogeneity index, damping coefficient, vibrational mode and elastic foundation on the vibrational behavior of the FG sandwich plates.