• 한국강구조학회 논문집
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• 제16권2호통권69호
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• pp.191-200
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• 2004

본 연구에서는 보강판을 직교이방성 판으로 해석하는 경우 보강판의 제원에 따라 정확도에 큰 차이를 보이는 단점을 해결하기 위하여, 개단면 리브를 갖는 보강판에 대하여 직교이방성 강성을 보정하는 방법을 제안하였다. 여러 가지 보강판에 대하여 등방성 및 직교이방성 판 요소로 모델링하여 해석하고 최대 처짐을 비교한 결과, 특정 강성비를 중심으로 이보다 강성비가 작아질수록 직교이방성 판이 더 작은 처짐을, 이보다 커질수록 더 큰 처짐을 나타내어 정확도의 향상을 위해서는 강성비에 따른 직교이방성 강성 수정이 이루어져야 함을 알 수 있었다. 거동 분석을 토대로, 직교이방성 판의 처짐식과 판만의 처짐과 관련한 처짐 비율을 이용하는 두 가지 강성 수정 방법을 제안하였으며, 두 경우 모두 오차율 및 오차율의 분포폭이 크게 감소하여 정확도가 크게 향상되지만, 처짐 비율의 방법이 처짐식을 이용한 방법보다 사용성 및 안정성 측면에서 더 적절한 것으로 나타났다. 또한, 개단면 리브를 갖는 보강판을 직교이방성 판으로 해석하는 경우, 본 연구에서 제안한 강성 수정 방법을 사용하여 보강판의 직교이방성 휨강성을 보정하게 되면, 상당한 정확성의 증가로 보강판에 대한 간편하고 타당한 결과를 얻을 수 있을 것으로 판단된다.

• Structural Engineering and Mechanics
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• 제31권2호
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• pp.181-210
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• 2009

This paper presents the theoretical developments of an exact finite strip for the buckling and initial post-buckling analyses of isotropic flat plates. The so-called exact finite strip is assumed to be simply supported out-of-plane at the loaded ends. The strip is developed based on the concept that it is effectively a plate. The present method, which is designated by the name Full-analytical Finite Strip Method in this paper, provides an efficient and extremely accurate buckling solution. In the development process, the Von-Karman's equilibrium equation is solved exactly to obtain the buckling loads and the corresponding form of out-of-plane buckling deflection modes. The investigation of thin flat plate buckling behavior is then extended to an initial post-buckling study with the assumption that the deflected form immediately after the buckling is the same as that obtained for the buckling. It is noted that in the present method, only one of the calculated out-of-plane buckling deflection modes, corresponding to the lowest buckling load, i.e., the first mode is used for the initial post-buckling study. Thus, the postbuckling study is effectively a single-term analysis, which is attempted by utilizing the so-called semi-energy method. In this method, the Von-Karman's compatibility equation governing the behavior of isotropic flat plates is used together with a consideration of the total strain energy of the plate. Through the solution of the compatibility equation, the in-plane displacement functions which are themselves related to the Airy stress function are developed in terms of the unknown coefficient in the assumed out-of-plane deflection function. These in-plane and out-of-plane deflected functions are then substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficient. The developed method is subsequently applied to analyze the initial postbuckling behavior of some representative thin flat plates for which the results are also obtained through the application of a semi-analytical finite strip method. Through the comparison of the results and the appropriate discussion, the knowledge of the level of capability of the developed method is significantly promoted.

• Advances in aircraft and spacecraft science
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• 제4권6호
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• pp.613-637
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• 2017

The development systems for the Structural Health Monitoring has attracted considerable interest from several engineering fields during the last decades and more specifically in the aerospace one. In fact, the introduction of those systems could allow the transition of the maintenance strategy from a scheduled basis to a condition-based approach providing cost benefits for the companies. The research presented in this paper consists of a definition and next comparison of four methods applied to numerical measurements for the extraction of damage features. The first method is based on the determination of the Structural Intensity field at the on-resonance condition in order to acquire information about the dissipation of vibrational energy throughout the structure. The Damage Quantification Indicator and the Average Integrated Global Amplitude Criterion methods need the evaluation of the Frequency Response Function for a healthy plate and a damaged one. The main difference between these two parameters is their mathematical definition and therefore the accuracy of the scalar values provided as output. The fourth and last method is based on the Mode-shape Curvature, a FRF-based technique which requires the application of particular finite-difference schemes for the derivation of the curvature of the plate. All the methods have been assessed for several damage conditions (the shape, the extension and the intensity of the damage) on two test plates: an isotropic (steel) plate and a 4-plies composite plate.

• Smart Structures and Systems
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• 제3권2호
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• pp.201-217
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• 2007

An active damage detection technique is introduced to locate damage in an isotropic plate using Lamb waves. This technique uses a time-domain energy model of Lamb waves in plates that the wave amplitude inversely decays with the propagation distance along a ray direction. Accordingly the damage localization is formulated as a least-squares problem to minimize an error function between the model and the measured data. An active sensing system with integrated actuators/sensors is controlled to excite/receive $A_0$ mode of Lamb waves in the plate. Scattered wave signals from the damage can be obtained by subtracting the baseline signal of the undamaged plate from the recorded signal of the damaged plate. In the experimental study, after collecting the scattered wave signals, a discrete wavelet transform (DWT) is employed to extract the first scattered wave pack from the damage, then an iterative method is derived to solve the least-squares problem for locating the damage. Since this method does not rely on time-of-flight but wave energy measurement, it is more robust, reliable, and noise-tolerant. Both numerical and experimental examples are performed to verify the efficiency and accuracy of the method, and the results demonstrate that the estimated damage position stably converges to the targeted damage.

• Composites Research
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• 제12권2호
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• pp.46-52
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• 1999

본 연구는 면내 전단과 휨을 동시에 받는 직교이방성 구조재의 복부판의 탄성좌굴거동에 대한 해석적 연구결과이다. 펄트루젼 방법으로 생산된 섬유보강 플래스틱을 직교이방성으로 간주하였다. 복부판의 좌굴해석에서 직교이방성 재료의 역학적 성질을 고려할 수 있도록 기존의 등방성 판의 좌굴해석을 위해 개발된 이론적 해를 확장하였다. 이론식의 해를 구하는 방법으로 Rayleigh-Ritz법을 사용하였으며, 면내 전단과 휨을 동시에 받는 복부판의 탄성좌굴강도를 구할 수 있는 그래프를 제시하였다. 전단과 휨의 상호작용과 관련된 설계기준에 대해서도 도한 검토하였다.

• Structural Engineering and Mechanics
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• 제10권5호
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• pp.441-449
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• 2000

In this study, the state equation for axisymmetric bending of laminated transversely isotropic circular plates on elastic foundation is established on the basis of three-dimensional elasticity. By using the expansions of Bessel functions, an analytical solution of the problem is presented. As a result, all the fundamental equations of three-dimensional elasticity can be satisfied exactly and all the independent elastic constants can be fully taken into account. Furthermore, the continuity conditions at the interfaces of plies can also be satisfied.

• Journal of Mechanical Science and Technology
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• 제14권1호
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• pp.1-10
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• 2000

This work shows that it is possible to obtain information about more than one parameter from acoustic field information. A variety of ultrasonic Lamb wave modes were utilized to reconstruct thickness and density of an isotropic plate. An image reconstruction of one parameter (thickness of a plate) was carried out for four cases, i.e., the lowest symmetrical and anti symmetrical modes, and the fastest symmetrical and anti symmetrical Lamb waves among multiple modes. For two parameter reconstructions (thickness and density), the image processing was performed using the lowest symmetrical and antisymmetrical modes simultaneously. In this work, a modified version of algebraic reconstruction technique (ART), which is a form of finite-series expansion method, was employed to reconstruct the ultrasonically computed tomographic images. Results from several sample geometries are presented.

• Steel and Composite Structures
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• 제27권1호
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• pp.27-33
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• 2018

In this study, a mixed-interpolated tensorial component 4 nodes method (MITC4) is treated as a numerical analysis model for topology optimization using multiple materials assigned within Reissner-Mindlin plates. Multi-material optimal topology and shape are produced as alternative plate retrofit designs to provide reasonable material assignments based on stress distributions. Element density distribution contours of mixing multiple material densities are linked to Solid Isotropic Material with Penalization (SIMP) as a design model. Mathematical formulation of multi-material topology optimization problem solving minimum compliance is an alternating active-phase algorithm with the Gauss-Seidel version as an optimization model of optimality criteria. Numerical examples illustrate the reliability and accuracy of the present design method for multi-material topology optimization with Reissner-Mindlin plates using MITC4 elements and steel materials.

• Composites Research
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• 제12권3호
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• pp.17-25
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• 1999

본 연구는 탄성구속된 직교이방성판의 탄성좌굴거동에 대한 해석적인 연구결과이다. 이 연구에서 판의 하중이 재하되는 변은 단순지지되어있고 하중이 재하되지 않는 변은 탄성구속되어있다. 등분포 일축 압축력과 면내 전단력이 작용하는 경우에 대한 좌굴해석식을 에너지법을 사용하여 각각 유도하였으며 그 결과를 그래프로 나타내었다. 유도된 식의 검증을 위하여 등방성재료의 역학적성질을 좌굴해석식에 대입한 결과 기존의 발표된 등방성재료의 결과와 동일한 결과를 얻을 수 있었다.

• International Journal of Safety
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• 제2권1호
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• pp.39-44
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• 2003

The present study deals with an approximate integral equation approach to finite deflection of elastic plates with arbitrary plane form. An integral formulation leads to a system of boundary integral equations involving values of deflection, slope, bending moment and transverse shear force along the edge. The basic principles of the development of boundary element technique are reviewed. A computer program for solving for stresses and deflections in a isotropic, homogeneous, linear and elastic bending plate is developed. The fundamental solution of deflection and moment is employed in this program. The deflections and moments are assumed constant within the quadrilateral element. Numerical solutions for sample problems, obtained by the direct boundary element method, are presented and results are compared with known solutions.