• 제목/요약/키워드: Elastic cylinder

검색결과 170건 처리시간 0.022초

외면이 주기적으로 울퉁불퉁한 실린더에서 비틂 탄성파의 전파속도 (Propagation Speed of Torsional Elastic Waves In a Cylinder with a Periodically Corrugated Outer Surface)

  • 김진오
    • 한국음향학회지
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    • 제18권8호
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    • pp.54-60
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    • 1999
  • 본 논문은 길이방향으로 조화함수 형태로 변화하는 외경을 가진 환형 단면의 탄성 실린더에서 전파하는 비틂 탄성파의 전파속도에 대한 이론적 연구 결과를 제시한다. 주기적인 미소한 외경 변화를 섭동법에 의해 다루어 전파속도의 근사해를 구하였다. 그 결과 전파속도는 외경 변화 폭의 제곱에 비례하는 양만큼 감소하는 경향이 나타났다. 이러한 이론적 결과는 앞서 보고된 실험결과와 잘 일치한다. 실린더의 두께가 얇을수록, 그리고 외경변화 빈도가 클수록 외경변화로 인한 전파속도 감소효과가 커지는 경향이 나타났다.

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비대칭 원주방향 관통균열 배관의 탄소성 J-적분 계산식 (Elastic-Plastic J Estimations for Pipes with Off-Centred Circumferential Through-Wall Cracks)

  • 심도준;허남수;김윤재;김영진
    • 대한기계학회논문집A
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    • 제27권7호
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    • pp.1170-1178
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    • 2003
  • This paper provides approximate J estimates for off-centred, circumferential through-wall cracks in cylinders under bending and under combined tension and bending. The proposed method is based on the reference stress approach, where the dependence of elastic and plastic influence functions of J on the cylinder/crack geometry, the off-centred angle and strain hardening is minimised through the use of a proper normalising load. Based on published limited FE results for off-centred, circumferential through-wall cracks under bending, such normalising load is found, based on which the reference stress based J estimates are proposed for more general cases, such as for a different cylinder geometry and for combined loading. Comparison of the estimated J with extensive FE J results shows overall good agreements for different crack/cylinder geometries and for combined tension and bending, which provides sufficient confidence in the use of the proposed method to fracture mechanics analyses of off-centred circumferential cracks. Furthermore, the proposed method is simple to use, giving significant merits in practice.

비대칭 원주방향 관통균열 배관의 탄소성 파괴역학해석 (Elastic-Plastic Fracture Mechanics Analysis of Off-Centred Circumferential Through-Wall Cracked Pipes)

  • 심도준;허남수;김윤재;김영진
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.125-130
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    • 2003
  • This paper provides approximate J estimates for off-centred, circumferential through-wall cracks in cylinders under bending. The proposed method is based on the reference stress approach, where the dependence of elastic and plastic influence functions of J on the cylinder/crack geometry, the off-centred angle and strain hardening is minimised through the use of a proper normalising load. Based on published limited FE results for off-centred, circumferential through-wall cracks under bending, such normalising load is found, based on which the reference stress based J estimates are proposed for more general cases, such as for a different cylinder geometry. Comparison of the estimated J with extensive FE J results shows overall good agreements for different crack/cylinder geometries which provides sufficient confidence in the use of the proposed method to fracture mechanics analyses of off-centred circumferential cracks. Furthermore, the proposed method is simple to use, giving significant merits in practice.

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Constraint-based fracture mechanics analysis of cylinders with internal circumferential cracks

  • Bach, Michael;Wang, Xin
    • Structural Engineering and Mechanics
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    • 제47권1호
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    • pp.131-147
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    • 2013
  • In this paper, constraint-based fracture mechanics analyses of hollow cylinders with internal circumferential crack under tensile loading are conducted. Finite element analyses of the cracked cylinders are carried out to determine the fracture parameters including elastic T-stresses, and fully-plastic J-integrals. Linear elastic finite element analysis is conducted to obtain the T-stresses, and elastic-plastic analysis is conducted to obtain the fully plastic J-integrals. A wide range of cylinder geometries are studied, with cylinder radius ratios of $r_i/r_o$ = 0.2 to 0.8 and crack depth ratio a/t = 0.2 to 0.8. Fully plastic J-integrals are obtained for Ramberg-Osgood power law hardening material of n = 3, 5 and 10. These fracture parameters are then used to construct conventional and constraint-based failure assessment diagrams (FADs) to determine the maximum load carrying capacity of cracked cylinders. It is demonstrated that these tensile loaded cylinders with circumferential cracks are under low constraint conditions, and the load carrying capacity are higher when the low constraint effects are properly accounted for, using constraint-based FADs, comparing to the predictions from the conventional FADs.

非壓縮 粘彈性 圓筒體의 熱荷重 解析 (Thermal load analysis in an incompressible linear visco-elastic cylinder bonded to an elastic shell)

  • 이영신;최용규
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.205-213
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    • 1987
  • 본 논문에서는 비압축 선형 점탄성재료를 원통체로 모델화하여 열하중에 대한 거동을 점유적 시간증분과정을 적용하여 수치해를 제시하고 원통체를 제작실험하여 변 형과 비파괴검사를 통해 측정하여 비교검토하였다. 또한 이론적 수치해와 시편과의 안전율을 각 파괴기준(failure criteria)에 적용하여 비파괴검사결과와 비교하였다.

Evaluation of limit load analysis for pressure vessels - Part I: Linear and nonlinear methods

  • Chen, Xiaohui;Gao, Bingjun;Wang, Xingang
    • Steel and Composite Structures
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    • 제22권6호
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    • pp.1391-1415
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    • 2016
  • Limit load of pressure bearing structures was reviewed in this article. By means of the finite element analysis, limit load of pressurized cylinder with nozzle was taken as an example. Stress classification method and Elastic-plastic finite element analysis combining with limit load determination methods were used to determine limit load of cylinder with nozzle. Comparison of limit load determined by different methods, the results indicated that limit load determined by linearization method was the smallest. Limit load determined by twice elastic slope criterion was the nearest than experimental results. Elastic-plastic finite element analysis had comparably computational precision, but required time consuming. And then the requirements of computer processing and storage capacity by power system became higher and higher. Most of criteria for limit load estimation included any human factors based on a certain substantive characteristics of experimental results. The reasonable criterion should be objective and operational.

Effect of the rotation on a non-homogeneous infinite cylinder of orthotropic material with external magnetic field

  • Hussein, Nahed S.;Bayones, F.S.;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • 제54권1호
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    • pp.135-148
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    • 2015
  • The present investigation is concerned with a study effect of magnetic field and non-homogenous on the elastic stresses in rotating orthotropic infinite circular cylinder. A certain boundary conditions closed form stress fields solutions are obtained for rotating orthotropic cylinder under initial magnetic field with constant thickness for three cases: (1) Solid cylinder, (2) Cylinder with a circular hole at the center, (3) Cylinder mounted on a circular rigid shaft. Analytical expressions for the components of the displacement and stress fields in different cases are obtained. The effect of rotation and magnetic field and non-homogeneity on the displacement and stress fields are studied. Numerical results are illustrated graphically for each case. The effects of rotating and magnetic field and non-homogeneity are discussed.

Steady-state response and free vibration of an embedded imperfect smart functionally graded hollow cylinder filled with compressible fluid

  • Bian, Z.G.;Chen, W.Q.;Zhao, J.
    • Structural Engineering and Mechanics
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    • 제34권4호
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    • pp.449-474
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    • 2010
  • A smart hollow cylinder consisting of a host functionally graded elastic core layer and two surface homogeneous piezoelectric layers is presented in this paper. The bonding between the layers can be perfect or imperfect, depending on the parameters taken in the general linear spring-layer interface model. The effect of such weak interfaces on free vibration and steady-state response is then investigated. Piezoelectric layers at inner and outer surfaces are polarized axially or radially and act as a sensor and an actuator respectively. For a simply supported condition, the state equations with non-constant coefficients are obtained directly from the formulations of elasticity/piezoelasticity. An approximate laminated model is then introduced for the sake of solving the state equations conveniently. It is further assumed that the hollow cylinder is embedded in an elastic medium and is simultaneously filled with compressible fluid. The interaction between the structure and its surrounding media is taken into account. Numerical examples are finally given with discussions on the effect of some related parameters.

Elastodynamic and wave propagation analysis in a FG graphene platelets-reinforced nanocomposite cylinder using a modified nonlinear micromechanical model

  • Hosseini, Seyed Mahmoud;Zhang, Chuanzeng
    • Steel and Composite Structures
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    • 제27권3호
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    • pp.255-271
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    • 2018
  • This paper deals with the transient dynamic analysis and elastic wave propagation in a functionally graded graphene platelets (FGGPLs)-reinforced composite thick hollow cylinder, which is subjected to shock loading. A micromechanical model based on the Halpin-Tsai model and rule of mixture is modified for nonlinear functionally graded distributions of graphene platelets (GPLs) in polymer matrix of composites. The governing equations are derived for an axisymmetric FGGPLs-reinforced composite cylinder with a finite length and then solved using a hybrid meshless method based on the generalized finite difference (GFD) and Newmark finite difference methods. A numerical time discretization is performed for the dynamic problem using the Newmark method. The dynamic behaviors of the displacements and stresses are obtained and discussed in detail using the modified micromechanical model and meshless GFD method. The effects of the reinforcement of the composite cylinder by GPLs on the elastic wave propagations in both displacement and stress fields are obtained for various parameters. It is concluded that the proposed micromechanical model and also the meshless GFD method have a high capability to simulate the composite structures under shock loadings, which are reinforced by FGGPLs. It is shown that the modified micromechanical model and solution technique based on the meshless GFD method are accurate. Also, the time histories of the field variables are shown for various parameters.

차체의 탄성진동을 고려한 4기통 엔진 고무마운트의 최적설계 (Optimal Design of the 4-cylinder Engine Rubber Mounts with Elastic Vibrations of Vehicle Body)

  • 박철희;오진우
    • 한국자동차공학회논문집
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    • 제6권1호
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    • pp.163-181
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    • 1998
  • In this study, the objective is determine the optimal design variable of engine mount system using the rubber mount of bush-type which is usually utilized in passive control to minimize vibrations of vehicle body or transmission from engine into body. The engine model adopted in this study is 4-cylinder, 4-stroke gasoline engine support- ed by 4-points. The system is modelled in 10 d.o.f.-rigid body motion of the engine & transmission in 6 d.o.f., elastic motion of vehicle body in 4 d.o.f.(1st torsional, 1st vertical and 1st & 2nd lateral bending vibration mode). To consider the elastic motion of vehicle body, find the eigenvalues and mode shapes of vehicle body by nodal testing and then determine the modal masses and stiffnesses of the body. The design variables of the engine mount system are locations, stiffness and damping coefficients of the rubber mounts(28 design variables). In case of considering the torque-roll axis for the engine, the design variables of the mount system are reduced to 22 design variables. The objective functions in optimal design process are considered by three cases, that is, 1) transmitted forces through engine mounts, 2) acceleration components of generalized coordinates for the vibration of vehicle body, 3) acceleration of specified location(where gear box) of body. three case are analyzed and compared with each other.

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