• 제목/요약/키워드: Non-Linear stiffness

검색결과 309건 처리시간 0.027초

컴플라이언트 메커니즘을 이용한 스윙 암 액추에이터의 설계 - 강성 효과를 고려한 다중목적 최적화 설계 - (Design of a Swing-arm Actuator using the Compliant Mechanism - Multi-objective Optimal Design Considering the Stiffness Effect)

  • 이충용;민승재;유정훈
    • 대한기계학회논문집A
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    • 제30권2호
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    • pp.128-134
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    • 2006
  • Topology optimization is an effective scheme to obtain the initial design concept: however, it is hard to apply in case of non-linear or multi-objective problems. In this study, a modified topology optimization method is proposed to generate a structure of a swing arm type actuator satisfying maximum compliance as well. as maximum stiffness using the multi-objective optimization. approach. The multi-objective function is defined to maximize the compliance in the direction of focusing of the actuator and the second eigen-frequency of the structure. The design of experiments are performed and the response surface functions are formulated to construct the multi-objective function. The weighting factors between conflicting functions are determined by the back-error propagation neural network and the solution of multi-objective function is acquired using the genetic algorithm.

점성댐퍼를 갖는 엔진 축계의 비선형 비틀림강제진동 (Nonlinear Forced Torsional Vibration for the Engine Shafting System With Viscous Damper)

  • 박용남;송성옥;김의간;전효중
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권4호
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    • pp.50-58
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    • 1996
  • The torsional vibration of the propulsion shafting system equipped with viscous damper is investigated. The equivalent system is modeled by a two mass softening system with Duffing's oscillator and the vibratory motion is described by non-linear differential equations of second order. The damper casing is fixed at the front-end of crankshaft and the damper's inertia ring floats in viscous silicon fluid inside of the camper casing. The excitation frenquency is proportional to the rotational speed of engine. The steady state response of the equivalent system is analyzed by the computer and for this analyzing, the harmonic balance method is adopted as a non-linear vibration analysis technique. Frequency response curves are obtained for 1st order resonance only. Jump phenomena are explained. The discriminant for the solutions of the steady state response is derived. Both theoretical and measured results of the propulsion shafting system are compared with and evaluated. As a result of comparisions with both data, it was confirmed that Duffing's oscillator can be used in the modeling of the propulsion shafting system attached with viscous damper with non-linear stiffness.

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점성댐퍼를 갖는 엔진 축계의 비선형 비틀림강제진동 (Nonlinear Forced Torsional Vibration for the Engine Shafting System With Viscous Damper)

  • 박용남;송성옥;김의간;전효중
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권4호
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    • pp.372-372
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    • 1996
  • The torsional vibration of the propulsion shafting system equipped with viscous damper is investigated. The equivalent system is modeled by a two mass softening system with Duffing's oscillator and the vibratory motion is described by non-linear differential equations of second order. The damper casing is fixed at the front-end of crankshaft and the damper's inertia ring floats in viscous silicon fluid inside of the camper casing. The excitation frenquency is proportional to the rotational speed of engine. The steady state response of the equivalent system is analyzed by the computer and for this analyzing, the harmonic balance method is adopted as a non-linear vibration analysis technique. Frequency response curves are obtained for 1st order resonance only. Jump phenomena are explained. The discriminant for the solutions of the steady state response is derived. Both theoretical and measured results of the propulsion shafting system are compared with and evaluated. As a result of comparisions with both data, it was confirmed that Duffing's oscillator can be used in the modeling of the propulsion shafting system attached with viscous damper with non-linear stiffness.

Effect of FRP composites on buckling capacity of anchored steel tanks

  • Al-Kashif, M.A.;Ramadan, H.;Rashed, A.;Haroun, M.A.
    • Steel and Composite Structures
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    • 제10권4호
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    • pp.361-371
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    • 2010
  • Enhancement in the seismic buckling capacity of steel tanks caused by the addition of fiber reinforced polymers (FRP) retrofit layers attached to the outer walls of the steel tank is investigated. Three-dimensional non-linear finite element modeling is utilized to perform such analysis considering non linear material properties and non-linear large deformation large strain analysis. FRP composites which possess high stiffness and high failure strength are used to reduce the steel hoop stress and consequently improve the tank capacity. A number of tanks with varying dimensions and shell thicknesses are examined using FRP composites added in symmetric layers attached to the outer surface of the steel shell. The FRP shows its effectiveness in carrying part of the hoop stresses along with the steel before steel yielding. Following steel yielding, the FRP restrains the outward bulging of the tank and continues to resist higher hoop stresses. The percentage improvement in the ultimate base moment capacity of the tank due to the addition of more FRP layers is shown to be as high as 60% for some tanks. The percentage of increase in the tank moment capacity is shown to be dependent on the ratio of the shell thickness to the tank radius (t/R). Finally a new methodology has been explained to calculate the location of Elephant foot buckling and consequently the best location of FRP application.

절대절점좌표계에서 선형 강성행렬을 활용한 2차원 보의 무차원 해석 (Non-Dimensional Analysis of a Two-Dimensional Beam Using Linear Stiffness Matrix in Absolute Nodal Coordinate Formulation)

  • 김건우;이재욱;장진석;오주영;강지헌;김형렬;유완석
    • 대한기계학회논문집A
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    • 제41권1호
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    • pp.31-40
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    • 2017
  • 1990년대 중반에 개발된 절대절점좌표는 탄성체 동역학 해석에 활용되고 있다. 운동방정식을 유도하는 과정에서 변위장을 이루는 다항식의 차수가 증가하면 필연적으로 자유도가 증가하게 되고, 이는 해석 시간의 증가로 이어진다. 따라서 본 연구에서는 차원 운동방정식을 무차원 운동방정식으로 전환함으로써 해석 시간을 단축시키고자 하였다. 위치 벡터를 이루는 형상 함수는 무차원으로, 절점 좌표는 길이 차원으로 정리한 후 무차원화하는 변수를 통해 무차원 질량행렬, 무차원 선형 강성행렬 및 무차원 보존력을 유도하였다. 무차원 운동방정식의 검증과 효율성은 정적 처짐에 대한 정해가 존재하는 외팔보 및 단진자 예제를 통해 제시하였다.

동적감쇠를 고려한 탄성 현수선 케이블의 비선형 해석에 관한 연구 (A study on the non-linear analysis of the elastic catenary cable considering kinetic damping)

  • 한상을;정명채;이진섭
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.331-338
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    • 2000
  • In this paper, a non-linear finite element formulation for the spatial cable-net structures is simulated and using this formulation, the characteristics of structural behaviors for the elastic catenary cable are examined In the simulating procedure for the elastic catenary cable, nodal forces and tangential stiffness matrices are derived using catenary parameters of the exact solutions by a governing differential equation of catenary cable, cable self-weights and unstressed cable length. Dynamic Relaxation Method that considers kinetic damping is used for the structure analysis and Newton Raphson Method is used to verify the accuracy of solutions. In the analysis of two dimensional cable, the results obtain from the elastic catenary elements are shown more accurate than does of truss elements and in the case of spatial cable-net structures, Dynamic Relaxation Method is more stable to be converged than Newton Raphson Method.

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A strain hardening model for the stress-path-dependent shear behavior of rockfills

  • Xu, Ming;Song, Erxiang;Jin, Dehai
    • Geomechanics and Engineering
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    • 제13권5호
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    • pp.743-756
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    • 2017
  • Laboratory investigation reveals that rockfills exhibit significant stress-path-dependent behavior during shearing, therefore realistic prediction of deformation of rockfill structures requires suitable constitutive models to properly reproduce such behavior. This paper evaluates the capability of a strain hardening model proposed by the authors, by comparing simulation results with large-scale triaxial stress-path test results. Despite of its simplicity, the model can simulate essential aspects of the shear behavior of rockfills, including the non-linear stress-strain relationship, the stress-dependence of the stiffness, the non-linear strength behavior, and the shearing contraction and dilatancy. More importantly, the model is shown to predict the markedly different stress-strain and volumetric behavior along various loading paths with fair accuracy. All parameters required for the model can be derived entirely from the results of conventional large triaxial tests with constant confining pressures.

휨강도와 전단강도의 확률분포를 고려한 연결보의 성능기반설계 (Performance Based Design of Coupling Beam Considering Probability Distribution of Flexural and Shear Strength)

  • 김윤곤;조석희
    • 콘크리트학회논문집
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    • 제25권5호
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    • pp.509-516
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    • 2013
  • 이 연구에서는 휨힌지를 유도하기 위해 휨강도와 전단강도의 확률분포를 고려한 연결보의 성능기반설계법을 제안하였다. 이 방법은 연결보의 항복 이후 거동과 시스템의 재분배를 반영하므로 현행 선형해석 기반의 연결보 설계에서 임의로 저감된 유효강성의 적합성을 검증할 수 있으며, 사용하중에서의 연결보의 실제 강성을 반영하여 횡변위를 평가하는데 적정하다. 또한 부재간 내력 재분배를 고려할 수 있어 병렬전단벽의 최적설계가 가능할 것으로 판단된다. 이 설계법의 적합성을 검증하기 위해 단순화된 30층 오피스 건물을 대상으로 비선형정적해석을 수행하고 성능점 및 각 스텝의 구조성능을 검토하였다. 또한 사용하중의 부재강성을 평가하고 극한하중의 부재 강성을 사용한 시스템의 거동과 비교하였다. 또한 연결보의 다양한 배근 및 보 춤에 따른 시스템의 거동특성을 비교, 분석하였다.

Saw-tooth softening/stiffening - a stable computational procedure for RC structures

  • Rots, Jan G.;Invernizzi, Stefano;Belletti, Beatrice
    • Computers and Concrete
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    • 제3권4호
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    • pp.213-233
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    • 2006
  • Over the past years techniques for non-linear analysis have been enhanced significantly via improved solution procedures, extended finite element techniques and increased robustness of constitutive models. Nevertheless, problems remain, especially for real world structures of softening materials like concrete. The softening gives negative stiffness and risk of bifurcations due to multiple cracks that compete to survive. Incremental-iterative techniques have difficulties in selecting and handling the local peaks and snap-backs. In this contribution, an alternative method is proposed. The softening diagram of negative slope is replaced by a saw-tooth diagram of positive slopes. The incremental-iterative Newton method is replaced by a series of linear analyses using a special scaling technique with subsequent stiffness/strength reduction per critical element. It is shown that this event-by-event strategy is robust and reliable. First, the model is shown to be objective with respect to mesh refinement. Next, the example of a large-scale dog-bone specimen in direct tension is analyzed using an isotropic version of the saw-tooth model. The model is capable of automatically providing the snap-back response. Subsequently, the saw-tooth model is extended to include anisotropy for fixed crack directions to accommodate both tensile cracking and compression strut action for reinforced concrete. Three different reinforced concrete structures are analyzed, a tension-pull specimen, a slender beam and a slab. In all cases, the model naturally provides the local peaks and snap-backs associated with the subsequent development of primary cracks starting from the rebar. The secant saw-tooth stiffness is always positive and the analysis always 'converges'. Bifurcations are prevented due to the scaling technique.

Effects of foundation flexibility on seismic demands of asymmetric buildings subject to near-fault ground motions

  • Atefatdoost, Gholam Reza;JavidSharifi, Behtash;Shakib, Hamzeh
    • Structural Engineering and Mechanics
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    • 제66권5호
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    • pp.637-648
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    • 2018
  • When the centers of mass and stiffness of a building do not coincide, the structure experiences torsional responses. Such systems can consist of the underlying soil and the super-structure. The underlying soil may modify the earthquake input motion and change structural responses. Specific effects of the input motion shall also not be ignored. In this study, seismic demands of asymmetric buildings considering soil-structure interaction (SSI) under near-fault ground motions are evaluated. The building is modeled as an idealized single-story structure. The soil beneath the building is modeled by non-linear finite elements in the two states of loose and dense sands both compared with the fixed-base state. The infinite boundary conditions are modelled using viscous boundary elements. The effects of traditional and yield displacement-based (YDB) approaches of strength and stiffness distributions are considered on seismic demands. In the YDB approach, the stiffness considered in seismic design depends on the strength. The results show that the decrease in the base shear considering soft soil induced SSI when the YDB approach is assumed results only in the center of rigidity to control torsional responses. However, for fixed-base structures and those on dense soils both centers of strength and rigidity are controlling.