• Structural Engineering and Mechanics
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• 제59권3호
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• pp.579-599
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• 2016

In this study, static bending of edge cracked micro beams is studied analytically under uniformly distributed transverse loading based on modified couple stress theory. The cracked beam is modelled using a proper modification of the classical cracked-beam theory consisting of two sub-beams connected through a massless elastic rotational spring. The deflection curve expressions of the edge cracked microbeam segments separated by the rotational spring are determined by the Integration method. The elastic curve functions of the edge cracked micro beams are obtained in explicit form for cantilever and simply supported beams. In order to establish the accuracy of the present formulation and results, the deflections are obtained, and compared with the published results available in the literature. Good agreement is observed. In the numerical study, the elastic deflections of the edge cracked micro beams are calculated and discussed for different crack positions, different lengths of the beam, different length scale parameter, different crack depths, and some typical boundary conditions. Also, the difference between the classical beam theory and modified couple stress theory is investigated for static bending of edge cracked microbeams. It is believed that the tabulated results will be a reference with which other researchers can compare their results.

• Smart Structures and Systems
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• 제33권2호
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• pp.165-175
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• 2024

Rotating beams play a crucial role in representing complex mechanical components that are prevalent in vital sectors like energy and transportation industries. These components are susceptible to the initiation and propagation of cracks, posing a substantial risk to their structural integrity. This study presents a two-stage methodology for detecting the location and estimating the size of an open-edge transverse crack in a rotating Euler-Bernoulli beam with a uniform cross-section. Understanding the dynamic behavior of beams is vital for the effective design and evaluation of their operational performance. In this regard, modal parameters such as natural frequencies and eigenmodes are frequently employed to detect and identify damages in mechanical components. In this instance, the Frobenius method has been employed to determine the first two natural frequencies and corresponding eigenmodes associated with flapwise bending vibration. These calculations have been performed by solving the governing differential equation that describes the motion of the beam. Various parameters have been considered, such as rotational speed, beam slenderness, hub radius, and crack size and location. The effect of the crack has been replaced by a rotational spring whose stiffness represents the increase in local flexibility as a result of the damage presence. In the initial phase of the proposed methodology, a damage index utilizing the slope of the beam's eigenmode has been employed to estimate the location of the crack. After detecting the presence of damage, the size of the crack is determined using a Genetic Algorithm optimization technique. The ultimate goal of the proposed methodology is to enable the development of more suitable and reliable maintenance plans.

• 한국강구조학회 논문집
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• 제24권1호
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• pp.101-108
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• 2012

강바닥판 교량은 비교적 얇은 강판이 사용되며, 가로 세로리브 및 가로보 등의 구조부재가 용접에 의해 복잡한 형상으로 조립되므로 용접에 의한 변형과 결함이 발생할 가능성이 매우 높고, 용접연결부에서의 응력 상태가 매우 복잡하다. 또한 실제 강바닥판 교량에서의 피로균열은 주부재보다 2차부재와의 용접연결부에서 발생되고 있다. 그러나 강바닥판교량 설계시에는 대부분 주부재에 대한 응력 평가가 이루어지고 있으며, 피로균열이 발생하는 구조상세에 대한 상세 응력 평가 및 특성 분석은 거의 검토되고 있지 있다. 본 연구에서는 공용년수 29년된 개단면 세로리브를 가진 강바닥판을 대상으로 피로균열의 원인을 조사하고, 재하시험 및 실교통류 흐름하에서의 현장계측을 통하여 대상 교량의 피로안전성을 검토하였다. 또한 피로균열이 발생된 세로리브 및 다이아프램의 용접부를 대상으로 격자해석 및 상세해석 모델을 사용하여, 이들 구조상세에 대한 영향면해석을 이용하여 이동하중에 따른 거동 특성을 조사하고, 대상교량의 피로균열 발생 원인을 규명하였다.