• Title/Summary/Keyword: 2차 비탄성 해석

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Nonlinear Viscoelastic Behavior of Concentrated Polyisobutylene Solutions in Large Amplitude Oscillatory Shear Deformation (대진폭 전단변형하에서 폴리이소부틸렌 농후용액의 비선형 점탄성 거동)

  • 장갑식
    • The Korean Journal of Rheology
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    • v.10 no.3
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    • pp.173-183
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    • 1998
  • 본 연구에서는 Advanced Rheometric Expansion System(ARES)를 사용하여 대진폭 진동 전단 변형하에서 발생하는 폴리이소부틸렌(PIB) 농후 용액의 비선형 점탄성 거동을 저 장탄성율과 동적점도의 변형량 의존성 및 응력파형의 fast Fourier transform(FFT) 해석을 통해 고찰하였다. 스트레인 진촉을 단계적으로 증가시키면서 측정한 동적 점탄성으로 부터 저장탄성율 및 동적점도의 선형응답한계를 결정하고 이들에 미치는 각주파수의 영향을 조사 하였다. 그리고 응력파형의 Fourier 전개로부터 유도되는 비선형 점탄성함수를 사용하여 비 선형 거동을 설명하였다. 끝으로 비선형 점탄성 거동의 정도를 나타내는 비선형 거동 지수 를 정의하고 이들에 미치는 각주파수의 영향에 대해 검토하였다. 이상의 연구를 통해 얻어 진 결과를 요약하면 다음과 같다.(1) 선형 응답한계는 고분자 용액의 특성시간의 역수보다 높은 각주파수 범위에서는 일정한 값을 유지하지만 특성시간의 역수보다 낮은 각주파수 영 역에서는 각주파수가 감소할수록 증가한다. (2)선형응답한계 이상의 대변형하에서는 3차비선 형 점탄성 함수 이상의 고차항의 영향이 크게 작용하며 이로인해 비선형 거동이 발생된다. (3) 스트레인 진폭을 단계적으로 증가시키면서 측정한 저장탄성율 및 동적점도의 변형량 의 존성은 응력파형의 Fourier transform으로부터 유도된 1차 비선형 점탄성 함수의 변형량 의 존성을 나타낸다 (4) 저장탄성율 및 동적점도의 변형량 의존성으로부터 유도된 비선형 거동 지수는 탄성적 서질과 점성적 성질에 대한 비선형 특성을 평가하기 위한 유요한 방법으로 인정된다. (5) 비선형 점탄성 거동의 정도를 나탄는 비선형 거동지수는 특정한 각주파수에서 최대치를 가지며 또한 탄성적 거동이 점성적 거동에 비해 더욱 큰 각주파수 의존성을 나타낸다.

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The Influence of the Application Methods of Direct Analysis Method for the Evaluation of Frame Stability (골조 안정성 평가를 위한 직접해석법의 적용 방법에 따른 영향)

  • Kim, Hee-Dong
    • Journal of Korean Society of Steel Construction
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    • v.22 no.4
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    • pp.293-303
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    • 2010
  • The purpose of this study was to evaluate the influence of the methods of application of the direct analysis method, using the load amplification factor suggested by the KBC 2009 design code, for the evaluation of frame stability. For this purpose, the direct analysis method was performed for three-story-one-bay and five-story-three-bay unbraced steel frames with various notional loads, bending stiffness reductions, and factor B2s. The results of the analyses were compared with the results of the second-order inelastic analysis to evaluate the influence of the applied methods. The scale of the frame, the axial load ratio, and the axial load distribution pattern were added to the main parameters to investigate the external effects. The research results showed that the influence of the methods of application of the direct analysis method is not significant in the case of the required axial strength and the application of the additional notional loads; and that the application of the factor B2 with the story stiffness concept to the direct analysis method is appropriate for the required flexural strength.

Transonic Wing Flutter Analysis Using a Parallel Euler Solver (병렬화된 오일러 코드를 이용한 3차원 날개의 천음속 플러터 해석)

  • Kwon, Hyuk-Jun;Park, Soo-Hyung;Kim, Kyung-Seok;Kim, Jong-Yun;Lee, In;Kwon, Jang-Hyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.10
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    • pp.10-16
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    • 2005
  • In this paper, a three-dimensional Euler aeroelastic analysis program is developed with a second-order staggered algorithm to reduce the lagging errors between the fluid and structural solvers. In the unsteady aerodynamic analysis, a dual-time stepping method based on the diagonalized-ADI algorithm is adopted to improve the time accuracy and a parallelized multi-grid method is used to save the computing time. The aeroelastic analyses of AGARD 445.6 wing model have been performed to verify the Euler aeroelastic analysis code. The analysis results are compared with the experimental data and other computational results. The results show comparatively good correlation when they are compared with other references.

A General and Versatile XFINAS 4-node Co-Rotational Resultant Shell Element for Large Deformation Inelastic Analysis of Structures (구조물의 대변형 비탄성 해석을 위한 범용 목적의 XFINAS 4절점 순수 변위 합응력 쉘요소)

  • Kim, Ki Du;Lee, Chang Soo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.3A
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    • pp.447-455
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    • 2006
  • A general purpose of 4-node co-rotational resultant shell element is developed for the solution of nonlinear problems of reinforced concrete, steel and fiber-reinforced composite structures. The formulation of the geometrical stiffness presented here is defined on the mid-surface by using the second order kinematic relations and is efficient for analyzing thick plates and shells by incorporating bending moment and transverse shear resultant forces. The present element is free of shear locking behavior by using the ANS (Assumed Natural Strain) method such that the element performs very well as thin shells. Inelastic behaviour of concrete material is based on the plasticity with strain hardening and elasto-plastic fracture model. The plasticity of steel is based on Von-Mises Yield and Ivanov Yield criteria with strain hardening. The transverse shear stiffness of laminate composite is defined by an equilibrium approach instead of using the shear correction factor. The proposed formulation is computationally efficient and versitile for most civil engineering application and the test results showed good agreement.

Harmonic generation emitted from ultrasonic contrast agent in response to a typical diagnostic ultrasound (전형적인 진단용 초음파에 의해 초음파 조영제에서 방사하는 하모닉 성분의 크기)

  • Choi M. J.;Kang K. S.;Paeng D. G.;Rhim S. M.
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.373-378
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    • 2004
  • 하모니 영상은 초음파의 비선형 전파 과정에서 발생된 하모닉 성분을 영상화 한다. 하모닉 영상은 초음파에 비선형적으로 반응하는 초음파 조영제를 사용하여 하모닉 성분의 발생을 최대화 하고 있다. 일반적으로 현재 임상적으로 사용되는 하모닉 영상은 2차 고주파 성분을 사용한 것을 의미한다. 2차 하모닉 영상은 주파수의 상승으로 공간 분해능이 향상된다. 초음파 조영제를 이용하는 경우 서브 하모닉, 울트라 하모닉의 발생도 유의할 것으로 기대되지만 이에 대한 연구는 거의 없는 실정이다. 서브 하모닉은 상대적으로 2차 하모닉보다 전파 과정에서 감쇠 효과가 작기 때문에 심부의 영상에 유리하다 서브 하모닉 및 울트라 하모닉 성분 검출은 초음파 변환기의 대역폭에 대한 제한을 2차 하모닉에 비해 상대적으로 덜 받는다. 본 연구에서는 진단용 초음파에 의해 초음파 조영제에서 방사하는 하모닉 성분의 크기를 시뮬레이션 하였다. 수치해석은 Gilmore Equation을 이용하였으며, 초음파 조영제의 탄성 효과는 무시하였다. 초음파 조영제의 크기와 초음파의 MI에 따라 하모닉 성분의 크기를 정량적으로 비교하고, 서브 및 울트라 하모닉 영상의 구현에 대해 토의하였다.

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Higher-order Shear Deformable Analysis of Laminated Plates on Two-parameter Elastic Foundations (Two-parameter 탄성지반위에 놓인 고차전단변형 적층판의 해석)

  • Han, Sung-Cheon;Jang, Suk-Yoon
    • Journal of Korean Society of Steel Construction
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    • v.13 no.1
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    • pp.101-113
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    • 2001
  • The main purpose of this paper is to present deflections of laminated composite plates on the two-parameter foundations. that is an elastic foundation with shear layer. This paper focuses on the deformation behaviour of anisotropic structures on elastic foundations. The third-order shear deformation theory is applied by using the double-fourier series. To validate the derived equations the obtained displacements for simply supported isotropic and orthotropic plates on elastic foundations are compared with those of Timoshenko and LUSAS program. The results show an excellent agreement for the isotropic and LUSAS program. The results show an excellent agreement for the isotropic and orthotropic plates on the elastic foundations. Numerical results for displacements are presented to show the effects of side-to-thickness ratio aspect ratio, material anisotropy and shear modulus of foundations.

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A Stress-Based Gradient Elasticity in the Smoothed Finite Element Framework (평활화 유한요소법을 도입한 응력기반 구배 탄성론)

  • Changkye Lee;Sundararajan Natarajan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.37 no.3
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    • pp.187-195
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    • 2024
  • This paper presents two-dimensional boundary value problems of the stress-based gradient elasticity within the smoothed finite element method (S-FEM) framework. Gradient elasticity is introduced to address the limitations of classical elasticity, particularly its struggle to capture size-dependent mechanical behavior at the micro/nano scale. The Ru-Aifantis theorem is employed to overcome the challenges of high-order differential equations in gradient elasticity. This theorem effectively splits the original equation into two solvable second-order differential equations, enabling its incorporation into the S-FEM framework. The present method utilizes a staggered scheme to solve the boundary value problems. This approach efficiently separates the calculation of the local displacement field (obtained over each smoothing domain) from the non-local stress field (computed element-wise). A series of numerical tests are conducted to investigate the influence of the internal length scale, a key parameter in gradient elasticity. The results demonstrate the effectiveness of the proposed approach in smoothing stress concentrations typically observed at crack tips and dislocation lines.

Deformational Characteristics of Compacted Subgrade Soils in Korea with Specimen Construction Methods (시편 성형기법에 따른 국내 다짐 노상토의 변형특성)

  • Kweon, Gi-Chul;Hwang, Chang-Il
    • International Journal of Highway Engineering
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    • v.9 no.4
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    • pp.55-63
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    • 2007
  • Deformational characteristics of subgrade soils are important properties in the mechanistic analysis and design of pavement system. In this study, to evaluate the effect of specimen construction methods on deformational characteristics of subgrade soils in Korea, resonant column tests were performed for specimens constructed by various methods. Specimen construction method affected to the modulus value but the variation in the normalized modulus reduction curve was almost identical. The effects of specimen construction method on modulus are decreased with increasing confining pressure. The average maximum variation in the modulus value with different specimen construction methods was estimated as 16.8%. The differences in the modulus value of the specimens with same water content and dry density conditions that made by gyratory compaction and impact compaction were very small within 5.2%. The impact compaction method was proposed as a specimen construction method for determining the design input parameter testing considering that impact compaction method is much simpler and require less expensive specimen construction equipment and setup than gyratory compaction method.

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Coupled T-H-M Processes Calculations in KENTEX Facility Used for Validation Test of a HLW Disposal System (고준위 방사성 폐기물 처분 시스템 실증 실험용 KENTEX 장치에서의 열-수리-역학 연동현상 해석)

  • Park Jeong-Hwa;Lee Jae-Owan;Kwon Sang-Ki;Cho Won-Jin
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.4 no.2
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    • pp.117-131
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    • 2006
  • A coupled T-H-M(Thermo-Hydro-Mechanical) analysis was carried out for KENTEX (KAERI Engineering-scale T-H-M Experiment for Engineered Barrier System), which is a facility for validating the coupled T-H-M behavior in the engineered barrier system of the Korean reference HLW(high-level waste) disposal system. The changes of temperature, water saturation, and stress were estimated based on the coupled T-H-M analysis, and the influence of the types of mechanical constitutive material laws was investigated by using elastic model, poroelastic model, and poroelastic-plastic model. The analysis was done using ABAQUS, which is a commercial finite element code for general purposes. From the analysis, it was observed that the temperature in the bentonite increased sharply for a couple of days after heating the heater and then slowly increased to a constant value. The temperatures at all locations were nearly at a steady state after about 37.5 days. In the steady state, the temperature was maintained at $90^{\circ}C$ at the interface between the heater and the bentonite and at about $70^{\circ}C$ at the interface between the bentonite and the confining cylinder. The variation of the water saturation with time in bentonite was almost same independent of the material laws used in the coupled T-H-M processes. By comparing the saturation change of T-H-M and that of H-M(Hydro-Mechanical) processes using elastic and poroelastic material mod31 respectively, it was found that the degree of saturation near the heater from T-H-M calculation was higher than that from the coupled H-M calculation mainly because of the thermal flux, which seemed to speed up the saturation. The stresses in three cases with different material laws were increased with time. By comparing the stress change in H-M calculation using poroelasetic and poroelasetic-plastic model, it was possible to conclude that the influence of saturation on the stress change is higher than the influence of temperature. It is, therefore, recommended to use a material law, which can model the elastic-plastic behavior of buffer, since the coupled T-H-M processes in buffer is affected by the variation of void ratio, thermal expansion, as well as swelling pressure.

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Flying Characteristics of Running Tape above Rotating Head (II) -Experimental Analysis- (회전헤드에 대한 주행테이프의 부상특성 (II) -실험해석-)

  • 민옥기;김수경
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.107-119
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    • 1991
  • This dissertation analyzes the running mechanism of flexible and thin tape above rotating head through the experiment. The scope of study is confined to measure the vertical deformation of running tape under hydrodynamic pressure invoking phenomena of elasto-hydrodynamic lubrication between the protruded bump on a rotating cylinder ad the running tape. Experimental system is devised to measure the vertical deflection of the running tape by opto-electronical displacement gauge, which enables to detect microscopic surface deflection of high frequency. Thorough the tests of small specimens of groove and bump, the accuracy and reliability of this experimental method is confirmed and achieved an accuracy within 5%(2.mu.m) error for the microscopic deflection with high frequency. In experimental works, the effects of bump size on flying characteristics of the tape were evaluated and examined. For the vertical deformation of the running tape. the numerical results and its trend agree qualitatively with the experimental ones.