• 제목/요약/키워드: tangential plane

검색결과 71건 처리시간 0.022초

Stress concentrations around a circular hole in an infinite plate of arbitrary thickness

  • Dai, Longchao;Wang, Xinwei;Liu, Feng
    • Structural Engineering and Mechanics
    • /
    • 제34권2호
    • /
    • pp.143-157
    • /
    • 2010
  • This paper presents theoretical solutions for the three-dimensional (3D) stress field in an infinite isotropic elastic plate containing a through-the-thickness circular hole subjected to far-field in-plane loads by using Kane and Mindlin's assumption. The dangerous position, where the premature fracture or failure of the plate will take place, the expressions of the tangential stress at the surface of the hole and the out-of-plane stress constraint factor are found in a concise, explicit form. Based on the present theoretical solutions, a comprehensive analysis is performed on the deviated degree of the in-plane stresses from the related plane stress solutions, stress concentration and out-of-plane constraint, and the emphasis has been placed on the effects of the plate thickness, Poisson's ratio and the far-field in-plane loads on the stress field. The analytical solution shows that the effects of the plate thickness and Poisson's ratio on the deviation of the 3D in-plane stress components is obvious and could not be ignored, although their effects on distributions of the in-plane stress components are slight, and that the effect of the far-field in-plane loads is just on the contrary of that of the above two. When only the shear stress is loaded at far field, the stress concentration factor reach its peak value about 8.9% higher than that of the plane stress solutions, and the out-of-plane stress constraint factor can reach 1 at the surface of the hole and is the biggest among all cases considered.

Numerical experiments on the determination of stress concentration factors in orthotropic perforated plates subjected to in - plane loading

  • Bambill, D.V.;Rossit, C.A.;Susca, A.
    • Structural Engineering and Mechanics
    • /
    • 제32권4호
    • /
    • pp.549-561
    • /
    • 2009
  • As it is known, laminated composite materials are increasingly used in many technological applications, and in some instance, cutouts must be made into laminated panels for practical reasons, changing the stress distribution. The present study deals with the determination of the stress concentration factor that holes of square shape cause in an orthotropic plate subjected to distributed in - plane loading. Square holes of rounded corners in a rectangular plate are considered, and the effect of different combinations of axial and tangential forces applied to its middle plane at the external edges, is studied. The mutually perpendicular axes, which define the principal axes of orthotropy, are assumed in many different directions referred to the sides of the plate. Numerical experiments by means of a finite element code is performed, evaluating the influence of the fiber orientation with respect to the edges of the plate and the characteristics of the orthotropic materials since such structures do not exhibit easily predictable behavior.

MTF 측정에 의한 카메라 렌즈 해상력 검사 시스템 개발 (Development of Measuring System for Camera Lens Resolution Based on the MTF Performance)

  • 박희재;신호승;노영훈
    • 한국정밀공학회:학술대회논문집
    • /
    • 한국정밀공학회 2000년도 춘계학술대회 논문집
    • /
    • pp.629-634
    • /
    • 2000
  • This System is developed for the estimation of the Camera Lens Resolution. Signal data proportional to light intensity is obtained and sampled from the 2D CCD. Based on the measured signal. the MTF charateristcs of a camera lens are measured. We could measure the sagittal and tangential MTF in the on and off-axis at the same time. The automatic measurig methods for optimal image plane, magnification, and best marginal direction of test lens are presented.

  • PDF

APPLICATION OF INTEGRODIFFERENTIAL EQUATIONS FOR THE PROBLEM OF ELECTRICALLY PERMEABLE CRACK ON A PIEZOELECTRIC-CONDUCTOR INTERFACE

  • ;김태원
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2008년도 추계학술대회A
    • /
    • pp.121-126
    • /
    • 2008
  • A plane strain problem of a crack on interface between an isotropic elastic conductor and a transversely isotropic piezoelectric ceramics is considered. The problem is reduced to system integrodifferential equations on the interface. These equations relate the normal and tangential components of the crack opening vector with distribution of normal and shear stresses on the crack surfaces. It therefore make it possible to obtain an exact solution as a function of the loading applied to the crack surfaces. As an example, some analytical solutions of the crack problem are given.

  • PDF

전향력 발생 원리를 고등학생들에게 설명하기 위한 새로운 방법 (Assisting High School Students to Redefine the Principle of Coriolis Force)

  • 장승환;박효진;조규성;문병권
    • 한국지구과학회지
    • /
    • 제32권1호
    • /
    • pp.73-83
    • /
    • 2011
  • 우리는 전향력 발생원리를 설명하기 위한 새로운 방법을 개발하고, 이를 5명의 10학년 학생들에게 적용하여 나타난 반응을 분석하였다. 중등과학 교과서에서 전향력 실험을 위해 회전원판이 자주 사용된다. 그런데 회전원판에 대한 명확한 설명이 없기 때문에, 회전원판이 북극을 중심으로 자전하는 지구를 나타낸다고 오해할 가능성이 높다. 이 연구는 회전원판이 임의의 위도에 접하는 평면이라는 사실에 중점을 두었다. 학생들은 회전원판의 이런 특징을 이해하면서 전향력을 쉽게 이해할 수 있었다. 덧붙여 우리는 회전원판과 전향력의 관계를 이해할 수 있게 도와주는 방법을 제시하려 하였다. 이 방법은 학교 교육에서 전향력의 특징을 좀 더 명확히 이해하는 데 도움이 될 것이다.

접지된 유전체층 위에 변하는 저항율을 갖는 저항띠 격자구조에서의 전자파산란 해석 -한쪽 모서리에서 0이고 다른쪽 모서리로 가면서 무한대로 변하는 경우- (Analysis of the Electromagnetic Scattering by a Resistive Strip Grating Tapered Resistivity On a Grounded Dielectric Plane -from Zeores at One Edge to Infinite at the Other Edge-)

  • 윤의중
    • 정보학연구
    • /
    • 제8권2호
    • /
    • pp.77-84
    • /
    • 2005
  • In this paper, electromagnetic scattering problems by a resistive strip grating with tapered resistivity on a grounded dielectric plane according to strip width and spacing, relative permittivity and thickness of dielectric layers, and incident angles of a electric wave are analyzed by applying the Fourier-Galerkin Moment Method known as a numerical procedure. The boundary conditions are applied to obtain the unknown field coefficients and the resistive boundary condition is used for the relationship between the tangential electric field and the electric current density on the strip. The resistivity of resistive strips in this paper varies from zeroes at one edge to infinite at the other edge, then the induced surface current density on the resistive strip is expanded in a series of Jacobi polynomials of the order ${\alpha}=0.2,\;{\beta}=-0.2$ as a orthogonal polynomials. The numerical results of the geometrically normalized reflected power in this paper are compared with those for the existing perfectly conducting strip. The numerical results of the normalized reflected power for conductive strips case with zero resistivity in this paper show in good agreement with those of existing papers.

  • PDF

자기차륜을 이용한 전도성 평판 이송 시스템에서 평판 위치 제어를 위한 새로운 방법 (Novel Methods for Spatial Position Control of a Plate In the Conductive Plate Conveyance System Using Magnet Wheels)

  • 정광석
    • 한국생산제조학회지
    • /
    • 제22권6호
    • /
    • pp.1010-1017
    • /
    • 2013
  • Two-axial electrodynamic forces generated on a conductive plate by a partially shielded magnet wheel are strongly coupled through the rotational speed of the wheel. To control the spatial position of the plate using magnet wheels, the forces should be handled independently. Thus, three methods are proposed in this paper. First, considering that a relative ratio between two forces is independent of the length of the air-gap from the top of the wheel, it is possible to indirectly control the in-plane position of the plate using only the normal forces. In doing so, the control inputs for in-plane motion are converted into the target positions for out-of-plane motion. Second, the tangential direction of the open area of the shield plate and the rotational speed of the wheel become the new control variables. Third, the absolute magnitude of the open area is varied, instead of rotating the open area. The forces are determined simply by using a linear controller, and the relative ratio between the forces creates a unique wheel speed. The above methods were verified experimentally.

마제형 원호 아치의 면내 자유진동 (In-plane Free Vibrations of Horseshoe Circular Arch)

  • 이병구;오상진;이태은
    • 대한토목학회논문집
    • /
    • 제34권4호
    • /
    • pp.1043-1052
    • /
    • 2014
  • 이 연구는 마제형 원호 아치의 면내 저유진동에 관한 연구이다. 마제형 아치의 면내 자유진동을 지배하는 연립 상미분방정식을 곡률중심 및 접선 방향의 변위에 대하여 유도하였다. 특히 지배미분방정식은 반원보다 큰 중심각을 갖는 마제형 아치에 적용하기 위하여 각좌표보다는 곡선거리 좌표에 관한 미분방정식으로 유도하였다. 미분방정식을 수치해석하여 고유진동수와 진동형을 산출하였다. 변수연구를 통하여 회전관성, 세장비, 곡선길이비가 무차원 고유진동수에 미치는 영향을 분석하였다.

Comparison of Ultrasonic Velocities between Direct and Indirect Methods on 30 mm × 30 mm Spruce Lumber

  • OH, Sei Chang
    • Journal of the Korean Wood Science and Technology
    • /
    • 제48권4호
    • /
    • pp.562-568
    • /
    • 2020
  • This study investigates the relationship between ultrasonic velocity and density in the direct method, the effect of distance between transducers in the indirect method, and the difference between the direct and indirect methods with transducers placed at a distance of 200 mm in nondestructive ultrasonic testing of spruce lumber. The direct method using 54 kHz ultrasonic transducers was applied to two planes, namely, radial section (LR) and tangential section (LT) of samples. The indirect method measurements were taken using the same transducers. Two velocities were measured at the top and bottom of the LT plane and at the two sides of the LR plane; the two values for each plane were averaged. The relationship between density and ultrasound velocity in the direct method demonstrated a positive correlation between the two variables. The difference between the two planes, LT and LR, was not statistically significant. Moreover, the distance between the transducers in the indirect method affected ultrasound velocity, with the ultrasonic velocity increasing as the distance between the transducers became larger. A transducer distance of 200 mm yielded a close approximation of the direct method results with a ratio of 0.87. Finally, no statistical evidence of a difference between the two planes in the indirect method was found. If the direct method, which requires access to two surfaces, is impractical, the indirect method can be applied.

생산자동화 시스템의 설계 및 정비를 위한 프레팅 피로수명 예측 (Fretting fatigue life prediction for Design and Maintenance of Automated Manufacturing System)

  • 김진광
    • 한국산업융합학회 논문집
    • /
    • 제20권2호
    • /
    • pp.195-204
    • /
    • 2017
  • Predicting the failure life of automated manufacturing systems can reduce overall downtime, maintenance costs, and total plant operation costs. Therefore, there is a growing interest in fatigue failure mechanisms as the safety or service life assessment of manufacturing systems becomes an important issue. In particular, fretting fatigue is caused by repeated tangential stresses that are generated by friction during small amplitude oscillatory movements or sliding between two surfaces pressed together in intimate contact. Previous studies in fretting fatigue have observed size effects related to contact width such that a critical contact width exists where there is drastic change in the fretting fatigue life. However, most of them are the two-dimensional finite element analyses based on the plane strain assumption. The purpose of this study is to investigate the contact size effects on the three-dimensional finite element model of a finite width of a flat specimen and a cylindrical pad exposed to fretting fatigue. The contact size effects were analyzed by means of the stress and strain averages at the element integration points of three-dimensional finite element model. This study shows that the fretting fatigue life of manufacturing systems can be predicted by three-dimensional finite element analysis based on SWT critical plane model.