• 제목/요약/키워드: nonlinear dynamic system

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형상기억합금 비틀림 튜브 작동기의 거동 해석 (Analyses of Behaviors of a Shape-Memory-Alloy Torque Tube Actuator)

  • 김준형;김철
    • 대한기계학회논문집A
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    • 제34권8호
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    • pp.1083-1089
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    • 2010
  • 형상기억합금은 지능형 재료와 구조물에 널리 쓰인다. 큰 힘과 변위를 발생시키는 것이 특징이며 작동기, 소음 및 진동감쇠, 동역학적 튜닝, 형상의 변형 제어 등의 다양한 분야에 응용될 수 있다. 본 논문에 서는 형상기억합금튜브와 초탄성 스프링으로 구성된 형상기억합금 비틀림 작동기를 제안하였고 각각의 거동 특성을 알아보았다. 열전달 해석을 통해 저항열과 히터의 열을 동시에 형상기억합금튜브에 가하면 작동기의 성능을 더 향상시킬 수 있음을 확인하였다. 접촉 해석으로는 실제 작동기의 거동을 시뮬레이션하였고 정상적으로 작동함을 알 수 있었다. 3 차원 형상기억합금의 거동을 표현하기 위해 비선형 구성방정식을 유한요소 법으로 풀고 ABAQUS 의 U-MAT 기능을 이용하여 비선형 해석을 수행하였다.

A dissipative family of eigen-based integration methods for nonlinear dynamic analysis

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • 제75권5호
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    • pp.541-557
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    • 2020
  • A novel family of controllable, dissipative structure-dependent integration methods is derived from an eigen-based theory, where the concept of the eigenmode can give a solid theoretical basis for the feasibility of this type of integration methods. In fact, the concepts of eigen-decomposition and modal superposition are involved in solving a multiple degree of freedom system. The total solution of a coupled equation of motion consists of each modal solution of the uncoupled equation of motion. Hence, an eigen-dependent integration method is proposed to solve each modal equation of motion and an approximate solution can be yielded via modal superposition with only the first few modes of interest for inertial problems. All the eigen-dependent integration methods combine to form a structure-dependent integration method. Some key assumptions and new techniques are combined to successfully develop this family of integration methods. In addition, this family of integration methods can be either explicitly or implicitly implemented. Except for stability property, both explicit and implicit implementations have almost the same numerical properties. An explicit implementation is more computationally efficient than for an implicit implementation since it can combine unconditional stability and explicit formulation simultaneously. As a result, an explicit implementation is preferred over an implicit implementation. This family of integration methods can have the same numerical properties as those of the WBZ-α method for linear elastic systems. Besides, its stability and accuracy performance for solving nonlinear systems is also almost the same as those of the WBZ-α method. It is evident from numerical experiments that an explicit implementation of this family of integration methods can save many computational efforts when compared to conventional implicit methods, such as the WBZ-α method.

Pavement condition assessment through jointly estimated road roughness and vehicle parameters

  • Shereena, O.A.;Rao, B.N.
    • Structural Monitoring and Maintenance
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    • 제6권4호
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    • pp.317-346
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    • 2019
  • Performance assessment of pavements proves useful, in terms of handling the ride quality, controlling the travel time of vehicles and adequate maintenance of pavements. Roughness profiles provide a good measure of the deteriorating condition of the pavement. For the accurate estimates of pavement roughness from dynamic vehicle responses, vehicle parameters should be known accurately. Information on vehicle parameters is uncertain, due to the wear and tear over time. Hence, condition monitoring of pavement requires the identification of pavement roughness along with vehicle parameters. The present study proposes a scheme which estimates the roughness profile of the pavement with the use of accurate estimates of vehicle parameters computed in parallel. Pavement model used in this study is a two-layer Euler-Bernoulli beam resting on a nonlinear Pasternak foundation. The asphalt topping of the pavement in the top layer is modeled as viscoelastic, and the base course bottom layer is modeled as elastic. The viscoelastic response of the top layer is modeled with the help of the Burgers model. The vehicle model considered in this study is a half car model, fitted with accelerometers at specified points. The identification of the coupled system of vehicle-pavement interaction employs a coupled scheme of an unbiased minimum variance estimator and an optimization scheme. The partitioning of observed noisy quantities to be used in the two schemes is investigated in detail before the analysis. The unbiased minimum variance estimator (MVE) make use of a linear state-space formulation including roughness, to overcome the linearization difficulties as in conventional nonlinear filters. MVE gives estimates for the unknown input and fed into the optimization scheme to yield estimates of vehicle parameters. The issue of ill-posedness of the problem is dealt with by introducing a regularization equivalent term in the objective function, specifically where a large number of parameters are to be estimated. Effect of different objective functions is also studied. The outcome of this research is an overall measure of pavement condition.

NONLINEAR CONTROL FOR CORE POWER OF PRESSURIZED WATER NUCLEAR REACTORS USING CONSTANT AXIAL OFFSET STRATEGY

  • ANSARIFAR, GHOLAM REZA;SAADATZI, SAEED
    • Nuclear Engineering and Technology
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    • 제47권7호
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    • pp.838-848
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    • 2015
  • One of the most important operations in nuclear power plants is load following, in which an imbalance of axial power distribution induces xenon oscillations. These oscillations must be maintained within acceptable limits otherwise the nuclear power plant could become unstable. Therefore, bounded xenon oscillation is considered to be a constraint for the load following operation. In this paper, the design of a sliding mode control (SMC), which is a robust nonlinear controller, is presented.SMCis ameansto control pressurized water nuclear reactor (PWR) power for the load following operation problem in a way that ensures xenon oscillations are kept bounded within acceptable limits. The proposed controller uses constant axial offset (AO) strategy to ensure xenon oscillations remain bounded. The constant AO is a robust state constraint for the load following problem. The reactor core is simulated based on the two-point nuclear reactor model with a three delayed neutron groups. The stability analysis is given by means of the Lyapunov approach, thus the control system is guaranteed to be stable within a large range. The employed method is easy to implement in practical applications and moreover, the SMC exhibits the desired dynamic properties during the entire output-tracking process independent of perturbations. Simulation results are presented to demonstrate the effectiveness of the proposed controller in terms of performance, robustness, and stability. Results show that the proposed controller for the load following operation is so effective that the xenon oscillations are kept bounded in the given region.

배출권거래제 2차 계획기간 중 이월한도 정책에 대한 비선형최적화 분석 (Nonlinear Optimization Analysis of the Carryover Policy in the 2nd Compliance Period of the Korean Emissions Trading Scheme)

  • 유종민;이서진
    • 자원ㆍ환경경제연구
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    • 제32권3호
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    • pp.149-166
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    • 2023
  • 온실가스 저감을 위해 도입된 배출권거래제가 2차 계획기간(2018~2020) 중 배출권 가격 급등에 따라 원활한 배출권 수급에 대한 수요는 증가한 반면 향후 배출권 부족을 예상한 공급자들의 거래참여 부진이 발생하였다. 이로 인해 2019년 당국은 시장 안정화 조치의 일환으로 배출권의 이월량이 거래량에 비례하도록 지침을 일시적으로 개정한 바 있다. 본고는 복수참여자 동태적 비선형 수리모형을 활용한 최적화 과정을 통해 이월정책에 대한 정부의 개입이 온실가스 저감 및 배출권 시장 가격 등에 미친 영향을 분석하였다. 시뮬레이션 분석 결과, 이월제한이라는 규제가 미리 예견되는 모형의 제약에도 불구하고 규제가 실시되는 기간 중에는 확실한 매물 출하 효과로 인해 가격인하가 발생하였음을 보여주고 있다.

Thermodynamical bending analysis of P-FG sandwich plates resting on nonlinear visco-Pasternak's elastic foundations

  • Abdeldjebbar Tounsi;Adda Hadj Mostefa;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mofareh Hassan Ghazwani;Fouad Bourada;Abdelhakim Bouhadra
    • Steel and Composite Structures
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    • 제49권3호
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    • pp.307-323
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    • 2023
  • In this research, the study of the thermoelastic flexural analysis of silicon carbide/Aluminum graded (FG) sandwich 2D uniform structure (plate) under harmonic sinusoidal temperature load over time is presented. The plate is modeled using a simple two dimensional integral shear deformation plate theory. The current formulation contains an integral terms whose aim is to reduce a number of variables compared to others similar solutions and therefore minimize the computation time. The transverse shear stresses vary according to parabolic distribution and vanish at the free surfaces of the structure without any use of correction factors. The external load is applied on the upper face and varying in the thickness of the plates. The structure is supposed to be composed of "three layers" and resting on nonlinear visco-Pasternak's-foundations. The governing equations of the system are deduced and solved via Hamilton's principle and general solution. The computed results are compared with those existing in the literature to validate the current formulation. The impacts of the parameters (material index, temperature exponent, geometry ratio, time, top/bottom temperature ratio, elastic foundation type, and damping coefficient) on the dynamic flexural response are studied.

마찰진자형 면진받침의 설계 및 해석절차 보완에 관한 연구 (A Study on Complement of the Design and Analysis Procedures of Friction Pendulum System)

  • 김현욱;주광호;노상훈;송종걸
    • 한국산학기술학회논문지
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    • 제15권1호
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    • pp.488-494
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    • 2014
  • 마찰진자형 면진받침은 마찰면의 곡률반경과 중력에 의해 생성되는 고유 복원력과 마찰에 의한 감쇠력을 갖는다는 장점이 있지만, 마찰계수의 속도, 상재압 및 온도 등에 대한 의존성으로 거동에 대한 예측이 쉽지 않다. 본 연구에서는 각 기준에서 제시된 마찰진자형 받침의 설계 및 해석절차를 분석하여 추가적인 검토가 필요한 사항들에 대해 평가해 보았으며, 추가로 동일한 동특성을 갖는 납-고무 면진받침 시스템을 이용한 해석결과와 마찰진자형 면진받침 시스템의 해석결과를 비교하여 마찰진자형 면진받침이 갖는 상대적인 거동 특성을 비교 분석해 보았다.

The effect of RBS connection on energy absorption in tall buildings with braced tube frame system

  • Shariati, Mahdi;Ghorbani, Mostafa;Naghipour, Morteza;Alinejad, Nasrollah;Toghroli, Ali
    • Steel and Composite Structures
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    • 제34권3호
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    • pp.393-407
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    • 2020
  • The braced tube frame system, a combination of perimeter frame and bracing frame, is one of the systems used in tall buildings. Due to the implementation of this system in tall buildings and the high rigidity resulting from the use of general bracing, providing proper ductility while maintaining the strength of the structure when exposing to lateral forces is essential. Also, the high stress at the connection of the beam to the column may cause a sudden failure in the region before reaching the required ductility. The use of Reduced Beam Section connection (RBS connection) by focusing stress in a region away from beam to column connection is a suitable solution to the problem. Because of the fact that RBS connections are usually used in moment frames and not tested in tall buildings with braced tube frames, they should be investigated. Therefore, in this research, three tall buildings in height ranges of 20, 25 and 30 floors were modeled and designed by SAP2000 software, and then a frame in each building was modeled in PERFORM-3D software under two RBS-free system and RBS-based system. Nonlinear time history dynamic analysis is used for each frame under Manjil, Tabas and Northridge excitations. The results of the Comparison between RBS-free and RBS-based systems show that the RBS connections increased the absorbed energy level by reducing the stiffness and increasing the ductility in the beams and structural system. Also, by increasing the involvement of the beams in absorbing energy, the columns and braces absorb less energy.

Seismic performance of lateral load resisting systems

  • Subramanian, K.;Velayutham, M.
    • Structural Engineering and Mechanics
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    • 제51권3호
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    • pp.487-502
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    • 2014
  • In buildings structures, the flexural stiffness reduction of beams and columns due to concrete cracking plays an important role in the nonlinear load-deformation response of reinforced concrete structures under service loads. Most Seismic Design Codes do not precise effective stiffness to be used in seismic analysis for structures of reinforced concrete elements, therefore uncracked section properties are usually considered in computing structural stiffness. But, uncracked stiffness will never be fully recovered during or after seismic response. In the present study, the effect of concrete cracking on the lateral response of structure has been taken into account. Totally 120 cases of 3 Dimensional Dynamic Analysis which considers the real and accidental torsional effects are performed using ETABS to determine the effective structural system across the height, which ensures the performance and the economic dimensions that achieve the saving in concrete and steel amounts thus achieve lower cost. The result findings exhibits that the dual system was the most efficient lateral load resisting system based on deflection criterion, as they yielded the least values of lateral displacements and inter-storey drifts. The shear wall system was the most economical lateral load resisting compared to moment resisting frame and dual system but they yielded the large values of lateral displacements in top storeys. Wall systems executes tremendous stiffness at the lower levels of the building, while moment frames typically restrain considerable deformations and provide significant energy dissipation under inelastic deformations at the upper levels. Cracking found to be more impact over moment resisting frames compared to the Shear wall systems. The behavior of various lateral load resisting systems with respect to time period, mode shapes, storey drift etc. are discussed in detail.

강 뼈대 구조물의 단자유도 하이브리드 동적 실험 (Single Degree of Freedom Hybrid Dynamic Test with Steel Frame Structure)

  • 김세훈;나옥빈;김성일;이재진;강대흥
    • 한국철도학회논문집
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    • 제15권4호
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    • pp.413-421
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    • 2012
  • 하이브리드 실험은 구조물의 거동을 수치해석 모델과 물리적 부분구조 모델로 나누어 동시에 수행되는 실험법으로써 본 논문에서는 지진하중에 의한 1경간 2층 강 뼈대 구조에 대한 하이브리드 시험을 수행하였다. 1층 기둥 1개소를 물리적 부분구조모형으로 선택하고, 한 개의 액추에이터를 이용해 수평방향으로 변위를 가하여 수치해석과 하이브리드 실험결과 사이의 거동추이를 분석하였다. 입력 지진데이터로는 El Centro를 사용하였으며, OpenSees를 이용하여 강구조물의 선형 또는 비선형 거동을 비교 분석하였다. 그 결과, 선형해석은 수치해석과 하이브리드 응답형상이 매우 잘 일치하였으며, 비선형 해석은 재료 비선형성에 의한 영구변형의 차이는 발생하였으나 최대변위 및 전체응답형상은 매우 유사하였다. 또한, 하이브리드 실험 소요시간은 실제 가진 시간에 약 9.6%의 속도로 현재 국내에서 수행된 실험 중 가장 실시간에 근접한 실험이라 할 수 있다. 따라서, 본 하이브리드 실험은 구조물의 동적 거동을 예측하는데 적절하게 활용될 수 있으며, 공간적, 경제적 제약이 있는 진동대 실험을 대체할 수 있으리라 판단된다.