• Structural Engineering and Mechanics
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• 제5권4호
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• pp.433-450
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• 1997

The objective of this work is to predict the failure loads, associated maximum transverse displacements, locations and the modes of failure, including the onset of delamination, of thin, flat, square symmetric laminates under the action of uni-axial compression. Two progressive failure analyses, one using Hashin criterion and the other using Tensor polynomial criteria, are used in conjunction with the finite element method. First order shear deformation theory and geometric nonlinearity in the von Karman sense have been employed. Five different types of lay-up sequence are considered for laminates with all edges simply supported. In addition, two boundary conditions, one with all edges fixed and other with mixed boundary conditions for $(+45/-45/0/90)_{2s}$ quasi-isotropic laminate have also been considered to study the effect of boundary restraints on the failure loads and the corresponding modes of failure. A comparison of linear and nonlinear results is also made for $({\pm}45/0/90)_{2s}$ quasi-isotropic laminate. It is observed that the maximum difference between the failure loads predicted by various criteria depend strongly on the laminate lay-ups and the flexural boundary restraints. Laminates with clamped edges are found to be more susceptible to failure due to the transverse shear and delamination, while those with the simply supported edges undergo total collapse at a load slightly higher than the fiber failure load.

• 한국연초학회지
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• 제2권2호
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• pp.44-50
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• 1980

황색종 잎담배의 생장분석에서 얻어진 결과는 다음과 같다. 1. 개량말칭의 생장곡선은 대수변환하여 2차 회귀식에, 기타 작부는 Gomuertz방정식과 유사하였다. 2. 건물량에 있어서 최대생장기의 시점은 개량말칭의 경우에 이식후 50일경, 타 작부는40일경이고 최대생장기간은 모두 25일 였다. 3 건물량에 있어서 최대생장기의 생장속도는 개량, 일반, 나지작의 순서로 감소하였다. 4. 파기가 늦을수록 최대생장기 동안의 생장량은 증가했다. 5. 엽면적의 최대생장기간은 건물중에 비하여 약2일 단축되고 5일 정도 빠르게 나타났다.

• Structural Engineering and Mechanics
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• 제6권2호
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• pp.143-159
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• 1998

The objective of this present work is to estimate the failure loads, associated maximum transverse displacements, locations and the modes of failure, including the onset of delamination, of thin, square symmetric laminates under the action in-plane positive (+ve) shear load. Two progressive failure analyses, one using the Hashin criterion and the other using a Tensor polynomial criterion, are used in conjunction with finite element method. First order shear deformation theory along with geometric non-linearity in the von Karman sense have been employed. Variation of failure loads and failure characteristics with five type of lay-ups and three types of boundary conditions has been investigated in detail. It is observed that the maximum difference between failure loads predieted by various criteria depends strongly on the laminate lay-up and the flexural boundary restraint. Laminates with clamped edges are found to be more susceptible to failure due to transverse shear (ensuing from the out of plane bending) and delamination, while those with simply supported edges undergo total collapse at a load slightly higher than the fiber failure load. The investigation on negative (-ve) in-plane shear load is in progress and will be communicated as part-II of the present work.

• Advances in nano research
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• 제7권6호
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• pp.419-429
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• 2019

The effect of an increasing percentage of nanofiller (glass cenosphere) with Glass/Epoxy hybrid composite curved panels modeled mathematically using the multiscale concept and subsequent numerical eigenvalues of different geometrical configurations (cylindrical, spherical, elliptical, hyperboloid and flat) predicted in this research article. The numerical model of Glass/Epoxy/Cenosphere is derived using the higher-order polynomial type of kinematic theory in association with isoparametric finite element technique. The multiscale mathematical model utilized for the customized computer code for the evaluation of the frequency data. The numerical model validation and consistency verified with experimental frequency data and convergence test including the experimental elastic properties. The experimental frequencies of the multiscale nano filler-reinforced composite are recorded through the impact hammer frequency test rig including CDAQ-9178 (National Instruments) and LABVIEW virtual programming. Finally, the nano cenosphere filler percentage and different design associated geometrical parameters on the natural frequency data of hybrid composite structural configurations are illustrated through a series of numerical examples.

• International Journal of Air-Conditioning and Refrigeration
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• 제16권1호
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• pp.1-8
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• 2008

Numerical optimization for design of a blade stacking line of a low speed axial flow fan with a fast and elitist Non-Dominated Sorting of Genetic Algorithm(NSGA-II) of multi-objective optimization using three-dimensional Navier-Stokes analysis is presented in this work. Reynolds-averaged Navier-Stokes(RANS) equations with ${\kappa}-{\varepsilon}$ turbulence model are discretized with finite volume approximations and solved on unstructured grids. Regression analysis is performed to get second order polynomial response which is used to generate Pareto optimal front with help of NSGA-II and local search strategy with weighted sum approach to refine the result obtained by NSGA-II to get better Pareto optimal front. Four geometric variables related to spanwise distributions of sweep and lean of blade stacking line are chosen as design variables to find higher performed fan blade. The performance is measured in terms of the objectives; total efficiency, total pressure and torque. Hence the motive of the optimization is to enhance total efficiency and total pressure and to reduce torque.

• Structural Engineering and Mechanics
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• 제68권5호
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• pp.527-536
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• 2018

The free vibration frequency responses of the graded flat and curved (cylindrical, spherical, hyperbolic and elliptical) panel structures investigated in this research considering the rectangular and tilted planforms under unlike temperature loading. For the numerical implementation purpose, a micromechanical model is prepared with the help of Voigt's methodology via the power-law type of material model. Additionally, to incur the exact material strength, the temperature-dependent properties of each constituent of the graded structure included due to unlike thermal environment. The deformation kinematics of the rectangular/tilted graded shallow curved panel structural is modeled via higher-order type of polynomial functions. The final form of the eigenvalue equation of the heated structure obtained via Hamilton's principle and simultaneously solved numerically using finite element steps. To show the solution accuracy, a series of comparison the results are compared with the published data. Some new results are exemplified to exhibit the significance of power-law index, shallowness ratio, aspect ratio and thickness ratio on the combined thermal eigen characteristics of the regular and tilted graded panel structure.

• Advances in concrete construction
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• 제13권5호
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• pp.367-376
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• 2022

Theoretical study of vibration distinctiveness of rotating cylindrical are examined for three volume fraction laws viz.: polynomial, exponential and trigonometric. These laws control functionally graded material composition in the shell radius direction. Functionally graded materials are controlled from two or more materials. In practice functionally graded material comprised of two constituent materials is used to form a cylindrical shell. For the current shell problem stainless steel and nickel are used for the shell structure. A functionally graded cylindrical shell is sanctioned into two types by interchanging order of constituent materials from inner and outer side for Type I and Type II cylindrical shell arrangement. Fabric composition of a functionally graded material in a shell thickness direction is controlled by volume fraction law. Variation of power law exponent brings change in frequency values. Influence of this physical change is investigated to evade future complications. This procedure is capable to cater any boundary condition by changing the axial wave number. But for simplicity, numerical results have been evaluated for clamped- simply supported rotating cylindrical shells. It has been observed from these results that shell frequency is bifurcated into two parts: one is related to the backward wave and other with forward wave. It is concluded that the value of backward frequency is some bit higher than that forward frequency. Influence of volume fraction laws have been examined on shell frequencies. Backward and forward frequency curves for a volume fraction law are upper than those related to two other volume fraction laws. The results generated furnish the evidence regarding applicability of present shell model and also verified by earlier published literature.

• Steel and Composite Structures
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• 제45권5호
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• pp.621-640
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• 2022

In the present article, the vibration response of a geometrically imperfect bi-directional functionally graded plate (2D-FGP) with geometric discontinuities and micro-structural defects (porosities) has been investigated. A porosity model has been developed to incorporate the effective material properties of the bi-directional FGP which varies in two directions i.e. along the axial and transverse direction. The geometric discontinuity is also introduced in the plate in the form of a circular cut-out at the center of the plate. The structural kinematic formulation is based on the non-polynomial trigonometric higher-order shear deformation theory (HSDT). Finite element formulation is done using C° continuous Lagrangian quadrilateral four-noded element with seven degrees of freedom per node. The equations of motion have been derived using a variational approach. Convergence and validation studies have been documented to confirm the accuracy and efficiency of the present formulation. A detailed investigation study has been done to evaluate the influence of the circular cut-out, geometric imperfection, porosity inclusions, partial supports, volume fraction indexes (along with the thickness and length), and geometrical configurations on the vibration response of 2D-FGP. It is concluded that after a particular cut-out dimension, the vibration response of the 2D FGP exhibits non-monotonic behavior.

• 한국전자파학회논문지
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• 제8권5호
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• pp.495-503
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• 1997

본 논문에서는 3개의 유전체층 위의 변하는 저항율을 가진 저항띠 격자구조에 의한 E 분극 전자파 산란 문제 들은 Fourier-Galerkin 모멘트 법을 이용하여 저항띠의 변하는 저항율과 3개의 유전체층의 비유전율 및 두께에 대한 효과를 알기 위해 해석하였다. 유도되는 표면전류는 차수 $\alpha$=0과 $\beta$=1의 값을 가지는 직교다항식의 일종인 Jacobi-polynomial ${P^{(\chi,\beta)}}_p$(.)의 급수로 전개하였으며, 저항띠의 변하는 저항율은 한쪽 모서리에서는 0이고 다른 쪽 모서리로 가면서 유한한 값으로 선형적으로 변하는 것으로 가정하였다. 정규화된 반사 및 투과전력은 저항띠의 변하는 저항율과 유전체 층들의 비유전율 및 두께를 변화시켜 얻었다. 급변점들은 전파모드와 감쇠모드사이 에서 고차모드가 모드 전환펠 때 관측되었으며, 전반적으로 국부적인 최소점들은 유전체 충들의 비유전율이 증가함에 따라 격자주기가 작아지는 값에서 발생하였다. 변하는 저하율에 따른 정규화된 반사전력 및 투과전력의 패턴은 균일 저하율 및 완전도체 경우와 매우 다르다는 것이 주목된다. 본 논문의 제안된 방법은 변하는 저항율, 균일 저항율및 완전도체 띠들의 경우에 대한 산란문제들을 해결할 수 있다.

• 항공우주기술
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• 제8권2호
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• pp.61-67
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• 2009

본 논문은 정지궤도위성에 탑재 가능한 저 계산량의 궤도데이터 생성 알고리즘을 제안하고 있다. 제안하는 알고리즘의 기본적인 개념은 지상에서 생성된 기준궤도에 대한 변위 정보를 48시간에 대하여 30분 간격으로 생성한 다음, 위성에 업로드 한다. 위성에서는 업로드된 변위정보를 테이블 형태로 저장하고, 원하는 시간에 근접한 세 개의 데이터 셋을 취한 다음 이차함수 보간법 적용하여 원하는 시간에 대한 변위정보를 계산한다. 생성된 변위 정보는 다시 기준궤도에 더해져 최종적인 궤도성분을 복구하도록 한다. 여기서 기준궤도는 이심율과 궤도 경사각이 0인 이상적인 정지궤도를 의미한다. 본 알고리즘을 이용할 경우 1Hz이상의 속도로 궤도정보를 생성하여 요구하는 탑재체에 공급 할 수 있는 장점이 있다. 본 알고리즘은 48시간에 대한 궤도 변위 정보를 저장하기 위하여 3킬로바이트 이내의 추가적인 메모리를 요구한다. 이러한 수치는 정지궤도위성에서 충분히 지원 가능한 수치로 판단된다.