• 제목/요약/키워드: Creep Function

검색결과 120건 처리시간 0.026초

Time-dependent analysis of cable trusses -Part I. Closed-form computational model

  • Kmet, S.;Tomko, M.
    • Structural Engineering and Mechanics
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    • 제38권2호
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    • pp.157-169
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    • 2011
  • In this paper the time-dependent closed-form static solution of the suspended pre-stressed biconcave and biconvex cable trusses with unmovable, movable and elastic or viscoelastic yielding supports subjected to various types of vertical load is presented. Irvine's forms of the deflections and the cable equations are modified because the effects of the rheological behaviour needed to be incorporated in them. The concrete cable equations in the form of the explicit relations are derived and presented. From a solution of a vertical equilibrium equation for a loaded cable truss with rheological properties, the additional vertical deflection as a time-function is determined. The time-dependent closed-form model serves to determine the time-dependent response, i.e., horizontal components of cable forces and deflection of the cable truss due to applied loading at the investigated time considering effects of elastic deformations, creep strains, temperature changes and elastic supports. Results obtained by the present closed-form solution are compared with those obtained by FEM. The derived time-dependent closed-form computational model is used for a time-dependent simulation-based reliability assessment of cable trusses as is described in the second part of this paper.

The influence of the rheological parameters on the dispersion of the flexural waves in a viscoelastic bi-layered hollow cylinder

  • Kocal, Tarik;Akbarov, Surkay D.
    • Structural Engineering and Mechanics
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    • 제71권5호
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    • pp.577-601
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    • 2019
  • The paper investigates the influence of the rheological parameters which characterize the creep time, the long-term values of the mechanical properties of viscoelastic materials and a form of the creep function around the initial state of a deformation of the materials of the hollow bi-layered cylinder on the dispersion of the flexural waves propagated in this cylinder. Constitutive relations for the cylinder's materials are given through the fractional exponential operators by Rabotnov. The dispersive attenuation case is considered and numerical results related to the dispersion curves are presented and discussed for the first and second modes under the first harmonic in the circumferential direction. According to these results, it is established that the viscosity of the materials of the constituents causes a decrease in the flexural wave propagation velocity in the bi-layered cylinder under consideration. At the same time, the character of the influence of the rheological parameters, as well as other problem parameters such as the thickness-radius ratio and the elastic modulus ratio of the layers' materials on the dispersion curves, are established.

초정밀 스테이지의 강인 제어 (Robust Control for a Ultra-Precision Stage System)

  • 박종성;정규원
    • 대한기계학회논문집A
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    • 제30권9호
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    • pp.1094-1101
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    • 2006
  • Recently, a ultra-precision stage is widely used in the fields of the nano-technology, specially in AFMs(Atomic Force Microscope) and STMs(Scanning Tunneling Microscope). In this paper, the ultra-precision stage which consists of flexure hinges, piezoelectric actuator and ultra-precision linear encoder, is designed and developed. The system transfer function of the ultra-precision stage system was derived from the step responses of the system using system identification tool. A $H_{\infty}$ controller was designed using loop shaping method to have robustness for the system uncertainty and external disturbances. For the designed controller, simulations were performed and it was applied to the ultra-precision stage system. From the experimental results it was found that this stage could be controlled with less than 5nm resolution irrespective of hysteresis and creep.

Prediction model of surface subsidence for salt rock storage based on logistic function

  • Wang, Jun-Bao;Liu, Xin-Rong;Huang, Yao-Xian;Zhang, Xi-Cheng
    • Geomechanics and Engineering
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    • 제9권1호
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    • pp.25-37
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    • 2015
  • To predict the surface subsidence of salt rock storage, a new surface subsidence basin model is proposed based on the Logistic function from the phenomenological perspective. Analysis shows that the subsidence curve on the main section of the model is S-shaped, similar to that of the actual surface subsidence basin; the control parameter of the subsidence curve shape can be changed to allow for flexible adjustment of the curve shape. By using this model in combination with the MMF time function that reflects the single point subsidence-time relationship of the surface, a new dynamic prediction model of full section surface subsidence for salt rock storage is established, and the numerical simulation calculation results are used to verify the availability of the new model. The prediction results agree well with the numerical simulation results, and the model reflects the continued development of surface subsidence basin over time, which is expected to provide some insight into the prediction and visualization research on surface subsidence of salt rock storage.

미끄럼 표면 도막두께변수에 따른 고력볼트 장기축력 예측 (Estimation of Long Term Clamping Force of High Strength Bolts By Coating Thickness Parameters of Slip Faying Surfaces)

  • 나환선;이현주;류재용;최성모
    • 복합신소재구조학회 논문집
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    • 제3권1호
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    • pp.8-15
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    • 2012
  • 고력볼트의 초기 체결력은 미끄럼표면조건에 따라, 일정시간이 경과될 때까지, 축력저하가 발생한다. 이 연구는 미끄럼접합부 표면에 도장이 되어있는 경우, 도장의 크리프현상에 따른 축력저하에 관한 예측 모델을 찾는 것이다. 이 실험연구 범위는 무기질 아연 프라이머로 도포된 볼트접합부의 장기축력저하에 한정한다. 실험에 적용된 볼트종류는 다크로 도포된 토크쉬어 볼트이다. 대상 표면의 도막 두께는 각각 96, 168, $226{\mu}m$ 이었다. 도막두께가 증가될수록, 초기 체결이후 축력이완율은 도막의 크리프 때문에 10%에서 18%로 증가되었다. 장기축력예측을 위한 정량적인 모델은 도막두께에 따른 크리프 스트레인과 경과된 시간사이에 회귀분석 결과로 얻어진다. 이 실험연구를 통해 미끄럼표면 도막의 크리프 거동특성을 알 수 있다면, 일정시간 경과후 고력볼트 체결력은 초기 체결력으로부터 구할 수 있다. 본 실험결과를 근거로 각 도막두께에 대한 장기축력이완이후의 고력볼트 체결력에 관한 정량적인 수식을 제안하였다.

Computer-Aided Alloy Design of Insert Metal for Transient Liquid Phase Bonding of High Aluminum Ni-base Superalloys

  • Nishimotd, Kazutoshi;Saida, Kazuyoshi
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2002년도 Proceedings of the International Welding/Joining Conference-Korea
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    • pp.803-808
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    • 2002
  • A computer-aided alloy-designing technique to develop the insert metal for transient liquid phase (TLP) bonding was applied to high aluminum Ni-base superalloys. The main procedure of a mathematical programming method was to obtain the optimal chemical composition through rationally compromising the plural objective performances of insert metal by a grid-search which involved data estimation from the limited experimental data using interpolation method. The objective function Z which was introduced as an index of bonding performance of insert metal involved the melting point, hardness (strength), formability of brittle phases and void ratio (bonding defects) in bond layer as the evaluating factors. The contour maps of objective function Z were also obtained applying the interpolation method. The compositions of Ni-3.0%Cr-4.0%B-0.5%Ce (for ${\gamma}$/${\gamma}$/${\beta}$ type alloy) and Ni3.5%Cr-3.5%B-3%Ti (for ${\gamma}$/${\gamma}$ type alloy) which optimized the objective function were determined as insert metal. SEM observations revealed that the microstructure in bond layers using the newly developed insert metals indicated quite sound morphologies without forming microconstituents and voids. The creep rupture properties of both joints were much improved compared to a commercial insert metal of MBF-80 (Ni-15.5%Cr-3.7%B), and were fairly comparable to those of base metals.

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Ni-Cr계 고용강화형 합금에서 조성에 따른 기계적 및 고온부식 특성 평가 (Effects of alloying elements on the mechanical and high temperature corrosion properties of solid-solution hardening nickel-base alloy)

  • 정수진;김동진
    • Corrosion Science and Technology
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    • 제13권5호
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    • pp.178-185
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    • 2014
  • Alloy 617 is considered as a candidate Ni-based superalloy for the intermediate heat exchanger (IHX) of a very high-temperature gas reactor (VHTR) because of its good creep strength and corrosion resistance at high temperatures. Helium is used as a coolant in a VHTR owing to its high thermal conductivity, inertness, and low neutron absorption. However, helium inevitably includes impurities that create an imbalance in the surface reactivity at the interface of the coolant and the exposed materials. As the Alloy 617 has been exposed to high temperatures at $950^{\circ}C$ in the impure helium environment of a VHTR, the degradation of material is accelerated and mechanical properties decreased. The high-temperature strength, creep, and corrosion properties of the structural material for an IHX are highly important to maintain the integrity in a harsh environment for a 60 year period. Therefore, an alloy superior to alloy 617 should be developed. In this study, the mechanical and high-temperature corrosion properties for Ni-Cr alloys fabricated in the laboratory were evaluated as a function of the grain boundary strengthening and alloying elements. The ductility increased and decreased by increasing the amount of Mo and Cr, respectively. Surface oxide was detached during the corrosion test, when Al was not added to alloy. However the alloy with Al showed improved oxide adhesive property without significant degradation and mechanical property. Aluminum seems to act as an anti-corrosive role in the Ni-based alloy.

고온분위기에서 열응력을 받는 부재의 수명예측에 관한 연구 (A study of life predictions on very high temperture thermal stress)

  • 김성청
    • 한국생산제조학회지
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    • 제7권6호
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    • pp.117-125
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    • 1998
  • The paper attempts to estimate the incubation time of a cavity in the interface between a power law creep particle and an elastic matrix subjected to a uniaxial stress. Since the power law creep particle is time dependent, the stresses in the interface relax. The volume free energy associated with Helmholtz free energy includes strain energies caused by applied stress and dislocations piled up in interface(DPI). The energy due to DPI is found by modifying the result of Dundurs and Mura[4]. The volume free energies caused by both applied stress and DPI are a function of the cavity size(r) and elapsed time(t) and arise from stress relaxation in the interface. Critical radius $r^*$ and incubation time $t^*$ to maximise Helmholtz free energy is found in present analysis. Also, kinetics of cavity formation are investigated using the results obtained by Riede [7]. The incubation time is defined in the analysis as the time required to satisfy both the thermodynamic and kinetic conditions. Through the analysis it is found that 1) strain energy caused by the applied stress does not contribute significantly to the thermodynamic and kinetic conditions of a cavity formation, 2) in order to satisfy both thermodynamic and kinetic conditions, critical radius $r^*$ decreases or holds constant with increase of the time until the kinetic condition(eq. 2.3) is satisfied. there for the cavity may not grow right after it is formed, as postulated by Harris [15], and Ishida and Mclean [16], 3) the effects of strain rate exponent (m), material constant $\sigma$0, volume fraction of the particle to matrix(f)and particle size on the incubation time are estimated using material constants of the copper as matrix.

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단면해석법을 이용한 합성형 휨 부재의 재령 종속적 처짐해석 (Concrete Aging-Dependent Deflection Analysis of Flexural Composite Members Using Sectional Analysis Method)

  • 성원진;김정현;이용학
    • 콘크리트학회논문집
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    • 제16권2호
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    • pp.155-162
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    • 2004
  • 초기재령 콘크리트의 탄성계수 변화와 크리프 및 건조수축 현상을 고려하는 강 합성 거더의 시간종속적 처짐해석을 수행하였다. 초기재령 콘크리트의 탄성계수 발현과정을 고려한 구성관계는 총 응력-변형률 관계를 Taylor의 선형급수 확장을 이용하여 기준시간에 관하여 확장함으로써 시간종속적 증분형태로 유도하였다. 강 박스거더의 단면형상 변화 위치와 지점부를 기준하여 거더를 분할하고 분할된 구간에서 단면해석을 통해 곡률을 구하여 2차 다항식으로 가정한 처짐곡선에 경계조건을 적용함으로써 처짐곡선의 증분관계식을 유도하였다. 부모멘트 구간의 강 박스 하단에 콘크리트를 타설한 이중합성 박스거더의 초기재령 거동해석을 수행하였으며, 강 박스 하단의 콘크리트 타설두께가 거더의 거동에 주는 영향을 수치해석 결과를 통해 분석하였다. 끝으로, 보 요소를 이용한 유한요소해석 결과와 개발된 단면해석법을 이용한 해석 결과를 비교함으로써 정확성을 검증하였다.

처짐한계상태함수를 이용한 노후 강거더 교량의 신뢰성해석 모델 구축 (Reliability Analysis Model for Deflection Limit State of Deteriorated Steel Girder Bridges)

  • 엄준식
    • 한국구조물진단유지관리공학회 논문집
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    • 제18권2호
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    • pp.47-53
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    • 2014
  • 이 연구에서는 중소지간 합성형 강거더교량에 대한 신뢰성 해석을 위해 강거더와 콘크리트슬래브의 강성을 토대로 처짐을 고려한 한계 함수를 구축하여 신뢰성해석을 수행하였다. 확률적 하중과 저항모델을 통해 처짐을 예측하기 위해 계산에 필요한 변수들을 확률변수로 고려하였다. 강재의 부식에 의한 단면의 감소, 그리고 콘크리트의 크리프는 합성형교의 처짐에 많은 영향을 미친다. 따라서 이 연구에서는 AASHTO LRFD 기준으로 설계된 교량에 대해 시간에 따른 변수를 고려하여 강재단면의 감소와 크리프의 영향을 통계적 모델에 반영하기 위해 몬테-카를로 시뮬레이션 기법을 이용하였으며, 처짐과 사용성을 고려하여 다양한 지간과 거더간격을 가진 교량에 신뢰성 해석을 수행하였다. 그 결과, 장지간 교량의 경우, 단지간 교량과 비교해 보았을 때 상대적으로 크리프와 강재단면감소의 처짐에 대한 영향이 작았으며, 이에 반해 단지간 거더 교량의 경우 크리프의 진행에 따라 처짐에 많은 영향을 미친다는 것을 알 수 있었다.