• Advances in nano research
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• 제6권3호
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• pp.219-242
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• 2018

In this study, static bending of an edge cracked cantilever nanobeam composed of functionally graded material (FGM) subjected to transversal point load at the free end of the beam is investigated based on modified couple stress theory. Material properties of the beam change in the height direction according to exponential distributions. The cracked nanobeam is modelled using a proper modification of the classical cracked-beam theory consisting of two sub-nanobeams connected through a massless elastic rotational spring. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero. The considered problem is investigated within the Euler-Bernoulli beam theory by using finite element method. 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 static deflections of the edge cracked FGM nanobeams are calculated and discussed for different crack positions, different lengths of the beam, different length scale parameter, different crack depths, and different material distributions. Also, the difference between the classical beam theory and modified couple stress theory is investigated for static bending of edge cracked FGM nanobeams. It is believed that the tabulated results will be a reference with which other researchers can compare their results.

• Structural Engineering and Mechanics
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• 제74권1호
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• pp.33-54
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• 2020

The aim of this study is to calculate natural frequencies and harmonic responses of cracked frames with general boundary conditions by using transfer matrix method (TMM). The TMM is a straightforward technique to obtain harmonic responses and natural frequencies of frame structures as the method is based on constructing a relationship between state vectors of two ends of structure by a chain multiplication procedure. A single variable shear deformation theory (SVSDT) is applied, as well as, Timoshenko beam theory (TBT) and Euler-Bernoulli beam theory (EBT) for comparison purposes. Firstly, free vibration analysis of intact and cracked frames are performed for different crack ratios using TMM. The crack is modelled by means of a linear rotational spring that divides frame members into segments. The results are verified by experimental data and finite element method (FEM) solutions. The harmonic response curves that represent resonant and anti-resonant frequencies directly are plotted for various crack lengths. It is seen that the TMM can be used effectively for harmonic response analysis of cracked frames as well as natural frequencies calculation. The results imply that the SVSDT is an efficient alternative for investigation of cracked frame vibrations especially with thick frame members. Moreover, EBT results can easily be obtained by ignoring shear deformation related terms from governing equation of motion of SVSDT.

• 대한기계학회논문집
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• 제11권6호
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• pp.953-962
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• 1987

본 연구에서는 국산 구조용강의 SM 45C 와 SUS 304 재를 최고 강도치가 나타 나는 압접조건하에서 압접하여 우재료의 용착금속부, 열영향부, 각 모재부 소정의 장 소에 미소원공을 가공한 시험편을 토대로 피로크랙의 발생 및 전파거동을 응력 레벨의 고저를 고려하여 고찰하였다.

• 대한기계학회논문집
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• 제9권2호
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• pp.150-157
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• 1985

본 연구에서는 자연적인 미소흠함주위에 발생, 전파하는 피로크랙의 거동을 검토하기 위하여, 기존재료가 갖고 있는 흠함이나 비금속개재물을 대신할 수 있다고 생각되는 크기가 다른 비관통 인공미성구멍을 갖는 여러 종류의 시험편을 준비하고, 이 시험편들이 갖는 인공미성구멍주위에 발생전파하는 피로크랙의 거동을, 금속현미경 관찰을 토대로 상세히 고찰하였다. 그리고 이러한 관찰을 기초로 하여 비관통인공미 성구멍의 대성에 따른 피로한계도거동에 대해서도 고찰하였다.

• Composites Research
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• 제13권3호
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• pp.9-20
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• 2000

모든 층을 한 방향으로 적층하여 횡방향 굽힘과 축방향 인장운동이 연성되어 나타나는 복합재료 외팔보에 다중횡방향 개구형 크랙이 있는 경우에 대하여 자유진동 특성을 고찰하였다. 모든 크랙 위치에서의 파괴역학적 특성을 스프링 상수로 변환하여 산출하고 크랙사이 구간의 보를 전단변형 및 회전관성효과를 포함하여 해밀톤 원리로부터 운동방정식 및 경계조건을 유도하고, 라플라스 변환법을 사용하여 자유진동 특성에 관한 해를 구하였다. 복합재료의 설계 변수로서 섬유 체적비와 적층각을 설정하였으며, 크랙의 외형적 변수로서 크랙의 갯수, 분포 위치 및 크랙 깊이를 설정하여 이들 변수에 대한 고유진동수 및 모드형상의 변화 경향을 도출함으로써 임의의 다수 크랙이 분포되어 있는 보다 실제적인 상황에서의 진동변화에 근거를 둔 비파괴 검사가 이루어질 수 있는 방안에 대하여 연구하였다. 해석 결과 복합재료 보에 단일 크랙이 있는 경우에 비해 다중 크랙이 있는 경우가 여러 가지 변수에 대해 훨씬 복잡한 형태로 나타나고 있음을 보여준다.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2004년도 학술대회지
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• pp.370-375
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• 2004

Fatigue tests were carried out to find the fatigue characteristics in the super-long life range by using a cantilever type rotational bending fatigue test machine. Three kinds of specimen in bearing steels with the quenched and tempered in air (A and B, B: shot peened after heal treatment) and under vacuum conditions(C:non-shot peened)were tested in this study. S-N curves obtained from fatigue tests of C specimen tend to come dawn again in the super-long life range due to fish-eye type cracking, while most of A and B specimens fractured by surface defects such as scratches and slip lines. This duplex S-N behavior for the high strength steels have to be reviewed by the change of fracture modes.

• Advances in nano research
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• 제6권1호
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• pp.57-80
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• 2018

In this study, the thermal loading effect on free vibration characteristics of carbon nanotubes (CNTs) with multiple cracks is studied. Various boundary conditions for nanotube are taken in to account. In order to take the small scale effect, the nonlocal elasticity of Eringen is employed in the framework of Euler-Bernoulli beam theory. This theory states that the stress at a reference point is a function of strains at all points in the continuum. A cracked nanotube is assumed to be consisted of two segments that are connected by a rotational spring which is located in the position of the cracked section. Hamilton's principle is used to achieve the governing equations. Influences of the nonlocal parameter, crack severity, temperature change and the number of cracks on the system frequencies are investigated. Also, it is found that at room or lower temperature the natural frequency for CNT decreases as the value of temperature change increases, while at temperature higher than room temperature the natural frequency of CNT increases as the value of temperature change increases. Various boundary conditions have been applied to the nanotube.

• Structural Engineering and Mechanics
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• 제63권4호
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• pp.551-565
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• 2017

In this paper, an analytical approach is proposed for determining vibration characteristics of cracked non-uniform continuous Timoshenko beam carrying an arbitrary number of spring-mass systems. This method is based on the Timoshenko beam theory, transfer matrix method and numerical assembly method to obtain natural frequencies and mode shapes. Firstly, the beam is considered to be divided into several segments by spring-mass systems and support points, and four undetermined coefficients of vibration modal function are contained in each sub-segment. The undetermined coefficient matrices at spring-mass systems and pinned supports are obtained by using equilibrium and continuity conditions. Then, the overall matrix of undetermined coefficients for the whole vibration system is obtained by the numerical assembly technique. The natural frequencies and mode shapes of a cracked non-uniform continuous Timoshenko beam carrying an arbitrary number of spring-mass systems are obtained from the overall matrix combined with half-interval method and Runge-Kutta method. Finally, two numerical examples are used to verify the validity and reliability of this method, and the effects of cracks on the transverse vibration mode shapes and the rotational mode shapes are compared. The influences of the crack location, depth, position of spring-mass system and other parameters on natural frequencies of non-uniform continuous Timoshenko beam are discussed.

• Structural Engineering and Mechanics
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• 제66권1호
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• pp.125-138
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• 2018

This paper proposes a transfer matrix method for the bending vibration of two types of tapered beams subjected to axial force, and it is applied to analyze tapered beams with an edge or multiple edge open cracks. One beam type is assumed to be reduced linearly in the cross-section height along the beam length. The other type is a tapered beam in which the cross-section height and width with the same taper ratio is linearly reduced simultaneously. Each crack is modeled as two sub-elements connected by a rotational spring, and the method can evaluate the effect of cracking on the desired number of eigenfrequencies using a minimum number of subdivisions. Among the power series available for the solutions, the roots of the differential equation are computed using the Frobenius method. The computed results confirm the accuracy of the method and are compared with previously reported results. The effectiveness of the proposed methods is demonstrated by examining specific examples, and the effects of cracking and axial loading are carefully examined by a comparison of the single and double tapered beam results.

• 한국소음진동공학회논문집
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• 제23권2호
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• pp.131-143
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• 2013

대부분의 철강산업 기계 등에 설치되어 사용되는 선회베어링은 교체를 위한 정확한 정비계획이 필요하기 때문에 저속회전체의 선회베어링에 대한 진동 상태감시가 매우 중요하게 되었다. 지금까지 음향방출(AE)법이 저속베어링의 상태감시에 가장 많이 사용되는 기술이고 몇몇의 경우는 진동을 사용한다. 음향방출을 사용하는 일반적인 이유는 저속에서 구름요소와 결함위치 사이의 충격에 의하여 발생되는 신호가 약하고 때때로 노이즈나 다른 간섭 주파수에 결함신호가 묻혀 검출이 어렵기 때문이다. 따라서 쉽게 특정 결함에 대한 결함주파수의 동정을 위하여 몇몇 연구자들은 충격에너지를 증가시키기 위하여 인위적으로 미리 정해진 길이, 넓이와 깊이의 결함을 베어링의 내, 외부 레이스에 인가하기도 한다. 이 논문에서는 15 rpm에서 운전하는 저속 선회베어링의 진동신호에 EMD와 EEMD를 적용하였고 논문에서 사용한 진동결함 신호는 국내 산업체에서 공급받은 것이다. 이 논문에서는 베어링결함 주파수 동정을 위하여 EEMD를 사용하여 결함신호의 FFT처리 결과를 입증하고 설명하였다.