• 제목/요약/키워드: nonlinear normal mode

검색결과 57건 처리시간 0.022초

A method to evaluate the frequencies of free transversal vibrations in self-anchored cable-stayed bridges

  • Monaco, Pietro;Fiore, Alessandra
    • Computers and Concrete
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    • 제2권2호
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    • pp.125-146
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    • 2005
  • The objective of this paper is setting out, for a cable-stayed bridge with a curtain suspension, a method to determine the modes of vibration of the structure. The system of differential equations governing the vibrations of the bridge, derived by means of a variational formulation in a nonlinear field, is reported in Appendix C. The whole analysis results from the application of Hamilton's principle, using the expressions of potential and kinetic energies and of the virtual work made by viscous damping forces of the various parts of the bridge (Monaco and Fiore 2003). This paper focuses on the equation concerning the transversal motion of the girder of the cable-stayed bridge and in particular on its final form obtained, restrictedly to the linear case, neglecting some quantities affecting the solution in a non-remarkable way. In the hypotheses of normal mode of vibration and of steady-state, we propose the resolution of this equation by a particular method based on a numerical approach. Respecting the boundary conditions, we derive, for each mode of vibration, the corresponding frequency, both natural and damped, the shape-function of the girder axis and the exponential function governing the variability of motion amplitude in time. Finally the results so obtained are compared with those deriving from the dynamic analysis performed by a finite elements calculation program.

PIC simulation study of the turbulence of the Alfven ion-cyclotron waves induced by electromagnetic ion-cyclotron instability

  • Kaang, Helen H.;Ryu, Chang-Mo;Mok, Chinook;Rha, Ki-Cheol
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
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    • 한국우주과학회 2011년도 한국우주과학회보 제20권1호
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    • pp.29.3-29.3
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    • 2011
  • The turbulence in the nonlinear regime of the electromagnetic ion-cyclotron (EMIC) instability are investigated via a particle-in-cell (PIC) simulation. EMIC instability arises from anisotropic ion temperature and excites the Alfven ion-cyclotron (AIC) waves. The excited AIC waves undergo inverse-cascade via the nonlinear wave interaction of two AIC and one ion density modes. Induced ion density modes are the normal and second harmonic ion-acoustic (IA) waves. They have the same group velocity, but the second harmonic IA mode only generates the longitudinal electric field.

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Relationship between Magnetic Properties of YIG Ferrites and Intermodulation Characteristics of Microwave Isolators

  • Nukaga, Masako;Henmi, Sakae
    • The Korean Journal of Ceramics
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    • 제6권3호
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    • pp.300-303
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    • 2000
  • The generation of the intermodulation noises in microwave isolators has been studied in relation to the characteristics of YIG ferrites designed for this application. We have investigated the influences of porosity and crystalline anisotropy related to the magnetic loss, which causes the generation of intermodulation signals. The power dependence of the intermodulation power level is stressed as the crystalline anisotropy decreases. These results are consistent with the nonlinear effects of a single normal mode before the excitation of the spin-waves. It also appears that this power level is proportional to the magnitude of dc bias magnetic field.

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Using Harmonic Analysis and Optimization to Study Macromolecular Dynamics

  • Kim Moon-K.;Jang Yun-Ho;Jeong Jay-I.
    • International Journal of Control, Automation, and Systems
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    • 제4권3호
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    • pp.382-393
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    • 2006
  • Mechanical system dynamics plays an important role in the area of computational structural biology. Elastic network models (ENMs) for macromolecules (e.g., polymers, proteins, and nucleic acids such as DNA and RNA) have been developed to understand the relationship between their structure and biological function. For example. a protein, which is basically a folded polypeptide chain, can be simply modeled as a mass-spring system from the mechanical viewpoint. Since the conformational flexibility of a protein is dominantly subject to its chemical bond interactions (e.g., covalent bonds, salt bridges, and hydrogen bonds), these constraints can be modeled as linear spring connections between spatially proximal representatives in a variety of coarse-grained ENMs. Coarse-graining approaches enable one to simulate harmonic and anharmonic motions of large macromolecules in a PC, while all-atom based molecular dynamics (MD) simulation has been conventionally performed with an aid of supercomputer. A harmonic analysis of a macroscopic mechanical system, called normal mode analysis, has been adopted to analyze thermal fluctuations of a microscopic biological system around its equilibrium state. Furthermore, a structure-based system optimization, called elastic network interpolation, has been developed to predict nonlinear transition (or folding) pathways between two different functional states of a same macromolecule. The good agreement of simulation and experiment allows the employment of coarse-grained ENMs as a versatile tool for the study of macromolecular dynamics.

고이득 관측기를 이용한 슬라이딩 모드 제어기 설계 (Output Feedback Sliding Mode Control with High-gain Observer)

  • Oh, Seungrohk
    • 전자공학회논문지SC
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    • 제40권1호
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    • pp.11-18
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    • 2003
  • 불확실성이 있는 표준형으로 표현된 단일 입력 단일 출력 비선형 시스템을 고려하였다. 모델링 불확실성을 극복할 수 있고 상태 변수를 예측할 수 있는 고이득 관측기를 이용하였다. 크기가 제한된 출력만을 이용한 슬라이딩 모드 제어기를 이용하여 폐회로를 안정화하였다. 크기가 제한된 출력만을 이용한 제어기를 사용하여 상태변수에 임펄스와 같은 현상이 나타나는 것을 제거하였다. 제안된 방법은 크기가 제한된 제어기 설계를 쉽게 하였다.

램파 혼합 기법을 이용한 알루미늄 합금의 부식 결함 검출에 대한 실험 연구 (Experimental Study on Corrosion Detection of Aluminum Alloy Using Lamb Wave Mixing Technique)

  • 최희웅;이재선;조윤호
    • 대한기계학회논문집A
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    • 제40권11호
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    • pp.919-925
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    • 2016
  • 본 연구에서는 비선형 체적파 혼합 기법의 선행연구를 토대로 램파 기법에 적용하여 램파 혼합 기법에 대한 연구를 수행하였다. 램파 혼합 기법의 타당성을 증명하기 위해 결함이 없는 시편과 부식에 의해 발생된 표면 결함이 있는 시편에 대해 실험을 진행하였다. 실험 대조군으로는 램파의 지배적인 면내변위와 면외변위를 가지는 모드 및 주파수로 선정하였다. 그 결과 램파 혼합 기법으로도 결함 검출이 가능하였고, 기존의 램파 기법의 경향성과 유사하게 나타났다. 그리고 이론과 동일한 지배적인 변위와 모드가 발생된 것을 확인 할 수 있었다. 그러나 결함 검출 성능은 측정 방법 및 단순 모드 선정에 따라 결정되는 것이 아니라 변위 비율에 따라 결정된다.

Analytical fault tolerant navigation system for an aerospace launch vehicle using sliding mode observer

  • Hasani, Mahdi;Roshanian, Jafar;Khoshnooda, A. Majid
    • Advances in aircraft and spacecraft science
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    • 제4권1호
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    • pp.53-64
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    • 2017
  • Aerospace Launch Vehicles (ALV) are generally designed with high reliability to operate in complete security through fault avoidance practices. However, in spite of such precaution, fault occurring is inevitable. Hence, there is a requirement for on-board fault recovery without significant degradation in the ALV performance. The present study develops an advanced fault recovery strategy to improve the reliability of an Aerospace Launch Vehicle (ALV) navigation system. The proposed strategy contains fault detection features and can reconfigure the system against common faults in the ALV navigation system. For this purpose, fault recovery system is constructed to detect and reconfigure normal navigation faults based on the sliding mode observer (SMO) theory. In the face of pitch channel sensor failure, the original gyro faults are reconstructed using SMO theory and by correcting the faulty measurement, the pitch-rate gyroscope output is constructed to provide fault tolerant navigation solution. The novel aspect of the paper is employing SMO as an online tuning of analytical fault recovery solution against unforeseen variations due to its hardware/software property. In this regard, a nonlinear model of the ALV is simulated using specific navigation failures and the results verified the feasibility of the proposed system. Simulation results and sensitivity analysis show that the proposed techniques can produce more effective estimation results than those of the previous techniques, against sensor failures.

알루미나가 분산된 세리아 안정화 지르코니아 세라믹스의 미세구조 (Microstructure of alumina-dispersed Ce-TZP ceramics)

  • 김민정;이종국
    • 한국결정성장학회지
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    • 제10권2호
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    • pp.122-127
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    • 2000
  • 불규칙 입자형성을 갖는 Ce-TZP와 알루미나가 분산된 Ce-TZP 세라믹스를 세라아 도핑조선과 열처리 조건을 변화시켜 제조한 다음, 미세구조를 관찰하였다. 제조된 시편들은 상대밀도가 99% 이상인 고밀도의 소결체였으며, 정방정 및 입방정상 지르코니아 입자로 구성되었다. 도핑하지 않거나 소결만 시킨 시편의 경우 직선적인 입계와 정상적인 입자형성을 나타낸데 비하여 세리아를 침적법으로 도핑한 후 고온으로 열처리한 시편에서는 확산구동 입계이동이 일어나 입계 및 입자형성이 불규칙하였으며. 이러한 Ce-TZP에서는 입자당 평균 입계같이 정상입자에 비하여 크게 증가하였다. 알루미나를 분산시켜 소결한 {{{{ { Al}_{2 }{ O}_{3 } }}}}/Ce- TZP 시편의 경우, 알루미나 입자에 의해서 입성장이 크게 억제되었고, 세리아를 도핑한 후 소결과 열처리를 행한 {{{{ { Al}_{2 }{ O}_{3 } }}}}/Ce-TZP에서는 불규칙 입자형상이 형성되면서도 입성장이 억제되어 입자크기에 비하여 입계면적이 크게 증가하였다. 분산된 알루미나 입자들은 소결과 열처리 과정 중 입자크기가 증가하였고, 열처리 동안 많은 입자들이 입계에서 입내로 위치가 변화하였다. 정상적인 입자형성을 갖은 시편에서는 균열진전시 입계파괴가 주로 일어났으나 불규칙 입자형성을 갖는 시편에서는 주로 입내파괴가 관찰되었다.

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Crack constitutive model for the prediction of punching failure modes of fiber reinforced concrete laminar structures

  • Ventura-Gouveia, A.;Barros, Joaquim A.O.;Azevedo, Alvaro F.M.
    • Computers and Concrete
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    • 제8권6호
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    • pp.735-755
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    • 2011
  • The capability of a multi-directional fixed smeared crack constitutive model to simulate the flexural/punching failure modes of fiber reinforced concrete (FRC) laminar structures is discussed. The constitutive model is implemented in a computer program based on the finite element method, where the FRC laminar structures were simulated according to the Reissner-Mindlin shell theory. The shell is discretized into layers for the simulation of the membrane, bending and out-of-plane shear nonlinear behavior. A stress-strain softening diagram is proposed to reproduce, after crack initiation, the evolution of the normal crack component. The in-plane shear crack component is obtained using the concept of shear retention factor, defined by a crack-strain dependent law. To capture the punching failure mode, a softening diagram is proposed to simulate the decrease of the out-of-plane shear stress components with the increase of the corresponding shear strain components, after crack initiation. With this relatively simple approach, accurate predictions of the behavior of FRC structures failing in bending and in shear can be obtained. To assess the predictive performance of the model, a punching experimental test of a module of a façade panel fabricated with steel fiber reinforced self-compacting concrete is numerically simulated. The influence of some parameters defining the softening diagrams is discussed.

Wind-sand coupling movement induced by strong typhoon and its influences on aerodynamic force distribution of the wind turbine

  • Ke, Shitang;Dong, Yifan;Zhu, Rongkuan;Wang, Tongguang
    • Wind and Structures
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    • 제30권4호
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    • pp.433-450
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    • 2020
  • The strong turbulence characteristic of typhoon not only will significantly change flow field characteristics surrounding the large-scale wind turbine and aerodynamic force distribution on surface, but also may cause morphological evolution of coast dune and thereby form sand storms. A 5MW horizontal-axis wind turbine in a wind power plant of southeastern coastal areas in China was chosen to investigate the distribution law of additional loads caused by wind-sand coupling movement of coast dune at landing of strong typhoons. Firstly, a mesoscale Weather Research and Forecasting (WRF) mode was introduced in for high spatial resolution simulation of typhoon "Megi". Wind speed profile on the boundary layer of typhoon was gained through fitting based on nonlinear least squares and then it was integrated into the user-defined function (UDF) as an entry condition of small-scaled CFD numerical simulation. On this basis, a synchronous iterative modeling of wind field and sand particle combination was carried out by using a continuous phase and discrete phase. Influencing laws of typhoon and normal wind on moving characteristics of sand particles, equivalent pressure distribution mode of structural surface and characteristics of lift resistance coefficient were compared. Results demonstrated that: Compared with normal wind, mesoscale typhoon intensifies the 3D aerodynamic distribution mode on structural surface of wind turbine significantly. Different from wind loads, sand loads mainly impact on 30° ranges at two sides of the lower windward region on the tower. The ratio between sand loads and wind load reaches 3.937% and the maximum sand pressure coefficient is 0.09. The coupling impact effect of strong typhoon and large sand particles is more significant, in which the resistance coefficient of tower is increased by 9.80% to the maximum extent. The maximum resistance coefficient in typhoon field is 13.79% higher than that in the normal wind field.