• 제목/요약/키워드: Critical Plane

검색결과 491건 처리시간 0.027초

회전축 정렬불량을 고려한 유연회전디스크의 진동해석 (Vibration Analysis of a Flexible Spinning Disk Considering the effect of Misalignment)

  • 정진태;허진욱;최기영
    • 대한기계학회논문집A
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    • 제26권5호
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    • pp.952-959
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    • 2002
  • The natural frequencies of a flexible spinning disk misaligned with the axis of rotation are studied in an analytic manner. The effects of misalignment on the natural frequency need to be investigated, because the misalignment between the axis of symmetry and the axis of relation cannot be avoided in the removable disks such as CD-R, CD-RW or DVD disks. Assuming that the in -plane displacements are in steady state and the out-of-plane displacement is in dynamic state, the equations of motion are derived for the misaligned spinning disk. After the exact solutions are obtained fur the steady -state in-plane displacements, they are plugged into the equation for the dynamic-state out-of-plane motion. The resultant equation is a linear equation for the out -of-plane displacement, which is discretized by the Galerkin method. Based on the discretized dquations, the effects of the misalignment are analyzed on the vibration characteristics of the spinning disk, i.e., the natural frequencies and the critical speed.

회전축 정렬불량을 가지는 유연 회전디스크의 고유치 해석 (Natural Frequencies of a Spinning Disk Misaligned with the Axis of Rotation)

  • 허진욱;정진태;김원석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 II
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    • pp.817-825
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    • 2001
  • The natural frequencies of a flexible spinning disk misaligned with the axis of rotation are studied in an analytic manner. The effects of misalignment on the natural frequency need to be investigated, because the misalignment between the axis of symmetry and the axis of rotation cannot be avoided in the removable disks such as CD-R, CD-RW or DVD disks. Assuming that the in-plane displacements are in steady state and the out-of-plane displacement is in dynamic state, the equations of motion are derived for the misaligned spinning disk. After the exact solutions are obtained for the steady-state in-plane displacements, they are plugged into the equation for the dynamic-state out-of-plane motion. The resultant equation is a linear equation for the out-of-plane displacement, which is discretized by the Galerkin method. Based on the discretized equations, the effects of the misalignment are analyzed on the vibration characteristics of the spinning disk, i.e., the natural frequencies and the critical speed

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Out-of-plane elastic buckling of truss beams

  • Fedoroff, Alexis;Kouhia, Reijo
    • Structural Engineering and Mechanics
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    • 제45권5호
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    • pp.613-629
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    • 2013
  • In this article we will present a method to directly evaluate the critical point of a non-linear system by using the solution of a polynomial eigenvalue approximation as a starting point for an iterative non-linear system solver. This method will be used to evaluate out-of-plane buckling properties of truss structures for which the lateral displacement of the upper chord has been prevented. The aim is to assess for a number of example structures whether or not the linearized eigenvalue solution gives a relevant starting point for an iterative non-linear system solver in order to find the minimum positive critical load.

저압터빈용 로터강의 이축 피로수명예측법에 관한 연구 (Study of Axial and Torsional Fatigue Life Prediction Method for Low Pressure Turbine Rotor Steels)

  • 현중섭;송기욱;이영신
    • 한국정밀공학회지
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    • 제22권12호
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    • pp.149-155
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    • 2005
  • The rotating components such as turbine rotors in service are generally subjected to multiaxial cyclic loading conditions. The prediction of fatigue lift for turbine rotor components under complex multiaxial loading conditions is very important to prevent the fatigue failures in service. In this paper, axial and torsional low cycle fatigue tests were preformed for 3.5NiCrMo steels serviced low pressure turbine rotor of nuclear power plant. Several methods to predict biaxial fatigue life such as Tresca, von Mises and Brown & Miller's critical plane approach were evaluated to correlate the experimental results for serviced NiCrMoV steel. The fracture mode and fatigue characteristics of NiCrMoV steel were discussed based on the results of fatigue tests performed under the axial and torsional test conditions. In particular, the Brown and Miller's critical plane approach was found to best correlate the experimental data with predictions being within a factor of 2.

알루미늄 합금 A7075-T6의 프레팅 피로에서 접촉압력의 영향 (Contact Pressure Effect on Fretting Fatigue of Aluminum Alloy A7075-T6)

  • 조성산;황동현
    • 한국정밀공학회지
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    • 제29권5호
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    • pp.531-537
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    • 2012
  • Fretting fatigue tests were conducted to investigate the effect of contact pressure on fretting fatigue behavior in aluminum alloy A7075-T6. Test results showed that when the contact pressure is so low that gross or partial slip occurs at the pad/specimen interface, fretting fatigue damage increases with the contact pressure. However, when the contact pressure is high enough to prevent slip at the interface, fretting fatigue damage decreases with the contact pressure. In order to understand how the contact pressure influence the fretting fatigue damage, finite element analyses were conducted and the analysis results were used to evaluate critical plane fretting fatigue damage parameters and their components. It is revealed that fretting fatigue damage estimated with the parameters exhibits the same variation as that in the tests. Moreover, the variation of fretting fatigue damage is closely related with that of the maximum normal stress on the critical plane rather than the strain amplitude on the critical plane.

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

  • 김진광
    • 한국산업융합학회 논문집
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    • 제20권2호
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    • pp.195-204
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    • 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.

Effects of d-wave symmetry on the critical current of YBCO step-edge Josephson junction

  • Hwang, Yun-Seok;Moon, Sunk-Yung;Ahn, Jong-Rok;Lee, Soon-Gul;Kim, Jin-Tae
    • 한국초전도학회:학술대회논문집
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    • 한국초전도학회 2000년도 High Temperature Superconductivity Vol.X
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    • pp.99-102
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    • 2000
  • We have studied the effects of d-wave symmetry on the critical current of YBa$_2$Cu$_3$O$_7$ step-edge Josephson junctions. The critical current along various misorientation angle was measured and analyzed with the concept of grain-boundary junctions with d-wave symmetry. Experimental results of c-oriented YBCO step-edge junctions with various in-plane misorientation angles were qualitatively in good agreement with the theory. The out-of-plane misorientation angle is usually formed between two grains with the c axes perpendicular to each other and is normally not controllable.

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Investigation of continuous and discontinuous contact cases in the contact mechanics of graded materials using analytical method and FEM

  • Yaylaci, Murat;Adiyaman, Gokhan;Oner, Erdal;Birinci, Ahmet
    • Computers and Concrete
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    • 제27권3호
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    • pp.199-210
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    • 2021
  • The aim of this paper was to examine the continuous and discontinuous contact problems between the functionally graded (FG) layer pressed with a uniformly distributed load and homogeneous half plane using an analytical method and FEM. The FG layer is made of non-homogeneous material with an isotropic stress-strain law with exponentially varying properties. It is assumed that the contact at the FG layer-half plane interface is frictionless, and only the normal tractions can be transmitted along the contacted regions. The body force of the FG layer is considered in the study. The FG layer was positioned on the homogeneous half plane without any bonds. Thus, if the external load was smaller than a certain critical value, the contact between the FG layer and half plane would be continuous. However, when the external load exceeded the critical value, there was a separation between the FG layer and half plane on the finite region, as discontinuous contact. Therefore, there have been some steps taken in this study. Firstly, an analytical solution for continuous and discontinuous contact cases of the problem has been realized using the theory of elasticity and Fourier integral transform techniques. Then, the problem modeled and two-dimensional analysis was carried out by using ANSYS package program based on FEM. Numerical results for initial separation distance and contact stress distributions between the FG layer and homogeneous half plane for continuous contact case; the start and end points of separation and contact stress distributions between the FG layer and homogeneous half plane for discontinuous contact case were provided for various dimensionless quantities including material inhomogeneity, distributed load width, the shear module ratio and load factor for both methods. The results obtained using FEM were compared with the results found using analytical formulation. It was found that the results obtained from analytical formulation were in perfect agreement with the FEM study.

원통형 굽힘을 받는 적층판의 임계좌굴 하중 (Critical Buckling Loads of Laminated Composites under Cylindrical Bending)

  • 이수용
    • 항공우주시스템공학회지
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    • 제1권4호
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    • pp.28-36
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    • 2007
  • This paper presents critical buckling loads of laminated composites under cylindrical bending. In-plane displacements are assumed to vary exponentially through plate thickness. The accuracy of this theory is examined for symmetric/antisymmetric cross-ply, angle-ply and unsymmetric laminates under cylindrical bending. Analytical solutions are provided to investigate the effect of transverse shear deformation on critical buckling loads of the laminated plates, and the results are compared with those obtained from the first-order shear deformation plate theory and the classical laminated plate theory.

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횡등방성 암석의 강도해석을 위한 이방성 Mohr-Coulomb 파괴조건식 (Anisotropic Version of Mohr-Coulomb Failure Criterion for Transversely Isotropic Rock)

  • 이연규;최병희
    • 터널과지하공간
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    • 제21권3호
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    • pp.174-180
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    • 2011
  • 횡등방성 암석의 강도해석에 활용할 목적으로 이방성 Mohr-Coulomb 파괴조건식을 제안하였다. 제안된 파괴조건식에서는 Pietruszczak & Mroz(2001)가 제안한 조직텐서를 도입하여 마찰각과 점착력을 조직텐서의 스칼라함수로 정의하였다. 두 강도정수의 이방성은 주응력좌표계와 재료 주좌표계의 상대적 회전을 바탕으로 계산된다. 이방성 파괴조건식을 최대로 하는 임계면을 찾는 방법이 Lagrange 승수법에 기초하여 제안되었다. 수치삼축압축 시험을 실시한 후 삼축압축강도와 파괴면 경사각 분석을 통하여 제안된 이방성 파괴함수의 성능을 검증하였다.