• 제목/요약/키워드: elastic constant

검색결과 471건 처리시간 0.023초

Free vibration analysis of nonlocal viscoelastic nanobeam with holes and elastic foundations by Navier analytical method

  • Ola A. Siam;Rabab A. Shanab;Mohamed A. Eltaher;Norhan A. Mohamed
    • Advances in aircraft and spacecraft science
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    • 제10권3호
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    • pp.257-279
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    • 2023
  • This manuscript is dedicated to deriving the closed form solutions of free vibration of viscoelastic nanobeam embedded in an elastic medium using nonlocal differential Eringen elasticity theory that not considered before. The kinematic displacements of Euler-Bernoulli and Timoshenko theories are developed to consider the thin nanobeam structure (i.e., zero shear strain/stress) and moderated thick nanobeam (with constant shear strain/stress). To consider the internal damping viscoelastic effect of the structure, Kelvin/Voigt constitutive relation is proposed. The perforation geometry is intended by uniform symmetric squared holes arranged array with equal space. The partial differential equations of motion and boundary conditions of viscoelastic perforated nonlocal nanobeam with elastic foundation are derived by Hamilton principle. Closed form solutions of damped and natural frequencies are evaluated explicitly and verified with prestigious studies. Parametric studies are performed to signify the impact of elastic foundation parameters, viscoelastic coefficients, nanoscale, supporting boundary conditions, and perforation geometry on the dynamic behavior. The closed form solutions can be implemented in the analysis of viscoelastic NEMS/MEMS with perforations and embedded in elastic medium.

선점법과 유한요소법을 사용한 단순지지된 등변사다리꼴 직교이방성판의 좌굴해석 (Buckling Analysis of Simply Supported Isosceles Trapezoidal Orthotropic Plate Using Collocation and Finite Element Method)

  • 이병권;채수하;윤순종
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 추계학술발표대회 논문집
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    • pp.13-16
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    • 2001
  • This paper presents the results of an elastic buckling analysis of isosceles trapezoidal orthotropic plate. In this study, all edges of plate are assumed to be simply supported and the difference of the applied loads are assumed to be taken out by shear of constant intensity along the sloping sides. For the buckling analysis, collocation method is employed. Finite element analysis is also conducted and the results are compared with theoretical ones.

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탄소성 동적해석시 해에 미치는 여러 인자들의 비교연구 (A Comparative Study on Elastic-Plastic -Dynamci Analysis of Sheet Metal Forming)

  • 박종진
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 춘계학술대회논문집
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    • pp.245-248
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    • 1999
  • Explicit dynamic finite element analysis has been used widely in the field of sheet metal forming. However in using the analysis technique there are some parameters which are not clearly defined so that engineers may obtain inaccurate solutions In the present study parameters such as time step damping ratio penalty constant and punch speed were investigated on their influence to the solution behavior. Considered forming processes are plane stain bending by a punch and axisymmetric deep drawing.

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탄성지지된 특별직교 이방성 복합판의 구조해석 (Structural Analysis of Elastic supported Special Orthotropic Composite Plates)

  • 김덕현;박제선;심도식;이정호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 봄 학술발표회 논문집
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    • pp.200-210
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    • 1997
  • This paper presents the result of analysis of special orthotropic plates supported by elastic foundation and simple supported edges. Convergence and accuracy of the solution are examined and it is verified that the solution obtained is sufficiently accurate. The effect of the spring constant, k, on deflection is studied.

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3차원 유한요소법을 이용한 T형 가지관의 용접자리 성형 방법에 관한 연구 (A Study on the T-branch Forming with 3-D Finite Element Method)

  • 홍대훈;황두순;신동필;홍성인
    • 소성∙가공
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    • 제10권1호
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    • pp.23-29
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    • 2001
  • In this study, the optimized initial hole shape for T-branch forming was proposed to obtain effective welding region. Design variables were determined by approximation analysis using volume constant condition. We performed 3D elastic-plastic FEM(Finite Element Method) analysis to simulate T-branch forming process. The variation of height and thickness of T-branch with various hole shapes was investigated. The optimized initial hole shape equation was obtained by using results for the numerical analysis.

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Effect of Resistance Exercise Intensity on the Strength and Lymphedema of Upper Extremity in Patients with Breast Cancer

  • So, Hyun-Jeong;Shin, Won-Seob
    • The Journal of Korean Physical Therapy
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    • 제27권5호
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    • pp.339-344
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    • 2015
  • Purpose: The purpose of this study was to determine the effects of high and low resistance exercise using an elastic band on the strength and lymphedema of upper extremity in patients with breast cancer. Methods: Seventeen female patients with breast cancer related lymphedema were randomly allocated to the high (n=9) or low (n=8) resistance exercise group. Both groups participated in the elastic band exercise program three times a week for eight weeks. For the high resistance exercise group (HR), the resistance was gradually increased, while maintaining constant intensity of exercise for the low resistance exercise group (LR). Assessments made include the upper extremity muscle strength and lymphedema before and after training. Results: After the exercise program, the HR showed significantly improved shoulder flexion and elbow flexion strength variation compared to the LR (p<0.05). Upper arm edema rate was significantly decreased in HR (p<0.05), but the difference between the two groups was not significant. Conclusion: These findings suggest that the elastic band exercise helps improve the strength and lymphedema of upper extremity in patients with breast cancer. In particular, high resistance exercise is more effective in improving muscle strength and does not exacerbate lymphedema, rather may improve upper arm edema if it is applied with a low elastic bandage or compression sleeve.

Acoustic and Elastic Properties of the Southeastern Yellow Sea Mud, Korea

  • Kim, Gil-Young
    • The Journal of the Acoustical Society of Korea
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    • 제25권2E호
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    • pp.49-55
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    • 2006
  • Compressional wave velocity (Vp), shear wave velocity (Vs), elastic and physical properties, and electrical resistivity for two core sediments obtained from Southeastern Yellow Sea Mud (SEYSM) were measured and computed. The sediments consist of homogeneous mud (mostly silt and clay) with shells and shell fragments. As a result, the mean grain size is uniform ($7.5-8.5{\Phi}$ throughout the core sediments. However, physical properties such as wet bulk density and porosity show slightly increasing and decreasing patterns with depth, compared to the mean grain size. The compressional (about 1475 m/s in average) and shear wave (about 60 m/s in average) velocities with depth accurately reflect the pattern of wet bulk density and porosity. Electrical resistivity is more closely correlated with compressional wave velocity than physical properties. The computed Vp/Vs and Poisson's ratios are relatively higher (more than 10) and lower (approximately 0.002) than Hamilton's (1979) data, respectively, suggesting the typical characteristics of soft and fully water-saturated marine sediments. Thus, the Vp/Vs ratio in soft and unconsolidated sediments is not likely sufficient to examine lithology and sediment properties. Relationships between the elastic constant and physical properties are correlated well. The elastic constants (Poisson's ratio, bulk modulus, shear modulus) given in this paper can be used to characterize soft marine sediments saturated with seawater.

인장하중을 받는 직선 배관 감육부의 국부 탄소성 변형률 평가 방법 (Estimation Method of Local Elastic-Plastic Strain at Thinning Area of Straight Pipe Under Tension Loading)

  • 안중혁;김윤재;윤기봉;마영화
    • 대한기계학회논문집A
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    • 제30권5호
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    • pp.533-542
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    • 2006
  • In order to assess the integrity of pipes with local thinning area, the plastic strain as well as the elastic strain at the root of thinned region are required particularly when fluctuating load is applied to the pipe. For estimating elastic-plastic strain at local wall thinning area in a straight pipe under tensile load, an estimation model with idealized fully circumferential constant depth wall thinning area is proposed. Based on the compatibility and equilibrium equations a nonlinear estimation equation, from which local elastic-plastic strain can be determined as a function of pipe/defect geometry, material and the applied strain was derived. Estimation results are compared with those from detailed elastic-plastic finite element analysis, which shows good agreements. Noting that practical wall thinning in nuclear piping has not only a circular shape but also a finite circumferential length, the proposed solution for the ideal geometry is extended based on two-dimensional and three-dimensional numerical analysis of pipes with circular wall thinning.

Dynamics of the oscillating moving load acting on the hydroelastic system consisting of the elastic plate, compressible viscous fluid and rigid wall

  • Akbarov, Surkay D.;Ismailov, Meftun I.
    • Structural Engineering and Mechanics
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    • 제59권3호
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    • pp.403-430
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    • 2016
  • This paper studies the dynamics of the lineal-located time-harmonic moving-with-constant-velocity load which acts on the hydro-elastic system consisting of the elastic plate, compressible viscous fluid - strip and rigid wall. The plane-strain state in the plate is considered and its motion is described by employing the exact equations of elastodynamics but the plane-parallel flow of the fluid is described by the linearized Navier-Stokes equations. It is assumed that the velocity and force vectors of the constituents are continuous on the contact plane between the plate and fluid, and impermeability conditions on the rigid wall are satisfied. Numerical results on the velocity and stress distributions on the interface plane are presented and discussed and the focus is on the influence of the effect caused by the interaction between oscillation and moving of the external load. During these discussions, the corresponding earlier results by the authors are used which were obtained in the cases where, on the system under consideration, only the oscillating or moving load acts. In particular, it is established that the magnitude of the aforementioned interaction depends significantly on the vibration phase of the system.

彈性支持를 받는 四角多孔板의 荷重分布係數에 관한 연구 (A Study on the Load Distribution Factor in the Perforated Square Plate with Elastic Support at Four Corners)

  • 임정식;이영신
    • 대한기계학회논문집
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    • 제13권4호
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    • pp.563-571
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    • 1989
  • 본 연구에서는 이들 무시된 영향을 고려하여 하중작용점에서의 하중분포계수 를 구하여, 이 하중분포계수에 의해 위치에 따라 실제와 가까운 하중을 가하므로서 보다 엄밀한 판의 해석을 할 수 있도록 제시하였다.