• 제목/요약/키워드: nonlinear structural dynamics

검색결과 131건 처리시간 0.022초

Double displacement coupled forced response for electromechanical integrated electrostatic harmonic drive

  • Xu, Lizhong;Zhu, Cuirong;Qin, Lei
    • Structural Engineering and Mechanics
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    • 제29권5호
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    • pp.581-597
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    • 2008
  • In this paper, the double displacement coupled statics and dynamics of the electromechanical integrated electrostatic harmonic drive are developed. The linearization of the nonlinear dynamic equations is completed. Based on natural frequency and mode function, the double displacement coupled forced response of the drive system to voltage excitation are obtained. Changes of the forced response along with the system parameters are investigated. The voltage excitation can cause the radial and tangent coupled forced responses of the flexible ring. The flexible ring radius, ring thickness and clearance between the ring and stator have obvious influences on the double displacement coupled forced responses.

Control of chaotic dynamics by magnetorheological damping of a pendulum vibration absorber

  • Kecik, Krzysztof
    • Structural Engineering and Mechanics
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    • 제51권5호
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    • pp.743-754
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    • 2014
  • Investigations of regular and chaotic vibrations of the autoparametric pendulum absorber suspended on a nonlinear coil spring and a magnetorheological damper are presented in the paper. Application of a semi-active damper allows controlling the dangerous motion without stooping of system and additionally gives new possibilities for designers. The investigations are curried out close to the main parametric resonance. Obtained numerical and experimental results show that the semi-active suspension may reduce dangerous motion and it also allows to maintain the pendulum at a given attractor or to jump to another one. Moreover, the results show that, for some parameters, MR damping may transit to chaotic motions.

The Effects of Media on the Intramolecular Photocycloaddition of 3-(3-Butenyl)cyclohex-2-enone

  • 노태희;최균선;박종욱
    • Bulletin of the Korean Chemical Society
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    • 제19권5호
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    • pp.501-503
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    • 1998
  • In this work, we applied the 1D $11^B$ nutation NMR method for the analysis of the local structural environments in powdered borosilicates $(SiO_2-B_2O_3)$. Spin dynamics during a rf irradiation for spin I=3/2 was analytically calculated with a density ma trix formalism. Spectral simulation programs were written in MATLAB on a PC. Two borosilicates prepared by the sol-gel process at different stabilization temperature were used for the 1D $11^B$ nutation NMR experiment. The $11^B$ NMR parameters, quadrupole coupling constants $(e^2qQ/h)$ and asymmetry parameters (η), for each borosilicate were extracted from the nonlinear least-squares fitting. The effects of heat treatments on the local structures of boron sites in borosilicates were discussed.

$^{11}B $Nutation NMR Study of Powdered Borosilicates

  • 우애자;한덕영;양경화
    • Bulletin of the Korean Chemical Society
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    • 제19권5호
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    • pp.519-524
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    • 1998
  • In this work, we applied the 1D 11B nutation NMR method for the analysis of the local structural environments in powdered borosilicates (SiO2-B2O3). Spin dynamics during a rf irradiation for spin I=3/2 was analytically calculated with a density matrix formalism. Spectral simulation programs were written in MATLAB on a PC. Two borosilicates prepared by the sol-gel process at different stabilization temperature were used for the 1D 11B nutation NMR experiment. The 11B NMR parameters, quadrupole coupling constants (e2qQ/h) and asymmetry parameters (η), for each borosilicate were extracted from the nonlinear least-squares fitting. The effects of heat treatments on the local structures of boron sites in borosilicates were discussed.

Optimization of longitudinal viscous dampers for a freight railway cable-stayed bridge under braking forces

  • Yu, Chuanjin;Xiang, Huoyue;Li, Yongle;Pan, Maosheng
    • Smart Structures and Systems
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    • 제21권5호
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    • pp.669-675
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    • 2018
  • Under braking forces of a freight train, there are great longitudinal structural responses of a large freight railway cable-stayed bridge. To alleviate such adverse reactions, viscous dampers are required, whose parametric selection is one of important and arduous researches. Based on the longitudinal dynamics vehicle model, responses of a cable-stayed bridge are investigated under various cases. It shows that there is a notable effect of initial braking speeds and locations of a freight train on the structural responses. Under the most unfavorable braking condition, the parameter sensitivity analyses of viscous dampers are systematically performed. Meanwhile, a mixing method called BPNN-NSGA-II, combining the Back Propagation neural network (BPNN) and Non-Dominated Sorting Genetic Algorithm With Elitist Strategy (NSGA-II), is employed to optimize parameters of viscous dampers. The result shows that: 1. the relationships between the parameters of viscous dampers and the key longitudinal responses of the bridge are high nonlinear, which are completely different from each other; 2. the longitudinal displacement of the bridge main girder significantly decreases by the optimized viscous dampers.

Damage assessment of reinforced concrete beams including the load environment

  • Zhu, X.Q.;Law, S.S.;Hao, H.
    • Structural Engineering and Mechanics
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    • 제33권6호
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    • pp.765-779
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    • 2009
  • Quantitative condition assessment of structures has been traditionally using proof load test leading to an indication of the load-carrying capacity. Alternative approaches using ultrasonic, dynamics etc. are based on the unloaded state of the structure and anomalies may not be fully mobilized in the load resisting path and thus their effects are not fully included in the measured responses. This paper studies the effect of the load carried by a reinforced concrete beam on the assessment result of the crack damage. This assessment can only be performed with an approach based on static measurement. The crack damage is modelled as a crack zone over an area of high tensile stress of the member, and it is represented by a damage function for the simulation study. An existing nonlinear optimization algorithm is adopted. The identified damage extent from a selected high level load and a low load level are compared, and it is concluded that accurate assessment can only be obtained at a load level close to the one that creates the damage.

Nonlinear semi-active/passive retrofit design evaluation using incremental dynamic analysis

  • Rodgers, Geoffrey W.;Chase, J. Geoffrey;Roland, Thomas;Macrae, Gregory A.;Zhou, Cong
    • Earthquakes and Structures
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    • 제22권2호
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    • pp.109-120
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    • 2022
  • Older or damaged structures can require significant retrofit to ensure they perform well in subsequent earthquakes. Supplemental damping devices are used to achieve this goal, but increase base shear forces, foundation demand, and cost. Displacement reduction without increasing base shear is possible using novel semi-active and recently-created passive devices, which offer energy dissipation in selected quadrants of the force-displacement response. Combining these devices with large, strictly passive energy dissipation devices can offer greater, yet customized response reductions. Supplemental damping to reduce response without increasing base shear enables a net-zero base shear approach. This study evaluates this concept using two incremental dynamic analyses (IDAs) to show displacement reductions up to 40% without increasing base shear, more than would be achieved for either device alone, significantly reducing the risk of response exceeding the unaltered structural case. IDA results lead to direct calculation of reductions in risk and annualized economic cost for adding these devices using this net-zero concept, thus quantifying the trade-off. The overall device assessment and risk analysis method presented provides a generalizable proof-of-concept approach, and provides a framework for assessing the impact and economic cost-benefit of using modern supplemental energy dissipation devices.

고체로켓모터의 비선형 연소 불안정성 예측 기법 (The Nonlinear Combustion Instability Prediction of Solid Rocket Motors)

  • 홍지석;문희장;성홍계;엄원석;서성현;이도형
    • 한국추진공학회지
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    • 제20권1호
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    • pp.20-27
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    • 2016
  • 연소 불안정 현상은 연료의 응답 함수, 연소율, 국부 연료 표면의 유동 속도에 영향을 미치기 때문에 고체로켓 모터 설계 시 성능이나 구조적 안정성을 다루는 측면에서 매우 중요한 부분이다. 연소 불안정 현상은 음향 모드가 연소/유동과정에서 발생하는 진동수와 결합(coupled)되었을 때 발생한다. 본 연구에서는 비선형 파동방정식으로부터 음향 비선형 불안정 모델을 유도하여 실린더형 고체로켓 모터의 연소 불안정 현상을 분석하였다. 또한 고체로켓 모터 연소실 압력, 연소 속도가 연소 불안정에 미치는 영향을 조사하였다.

Various Structural Approaches to Analyze an Aircraft with High Aspect Ratio Wings

  • El Arras, Anas;Chung, Chan Hoon;Na, Young-Ho;Shin, SangJoon;Jang, SeYong;Kim, SangYong;Cho, Changmin
    • International Journal of Aeronautical and Space Sciences
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    • 제13권4호
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    • pp.446-457
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    • 2012
  • Aeroelastic analysis of an aircraft with a high aspect ratio wing for medium altitude and long endurance capability was attempted in this paper. In order to achieve such an objective, various structural models were adopted. The traditional approach has been based on a one-dimensional Euler-Bernoulli beam model. The structural analysis results of the present beam model were compared with those by the three-dimensional NASTRAN finite element model. In it, a taper ratio of 0.5 was applied; it was comprised of 21 ribs and 3 spars, and included two control surfaces. The relevant unsteady aerodynamic forces were obtained by using ZAERO, which is based on the doublet lattice method that considers flow compressibility. To obtain the unsteady aerodynamic force, the structural mode shapes and natural frequencies were transferred to ZAERO. Two types of unsteady aerodynamic forces were considered. The first was the unsteady aerodynamic forces which were based on the one-dimensional beam shape; the other was based on the three-dimensional FEM model shape. These two types of aerodynamic forces were compared, and applied to the foregoing flutter analysis. The ultimate goal of the present research is to analyze the possible interaction between the rigid-body degrees of freedom and the aeroelastic modes. This will be achieved after the development of a reliable nonlinear beam formulation that would validate the current results as well as enable a thorough investigation of the nonlinearity. Moreover, such analysis will allow for an examination of the above-mentioned interaction between the flight dynamics and aeroelastic modes with the inclusion of the rigid body degrees of freedom.

Influence of bi-directional seismic pounding on the inelastic demand distribution of three adjacent multi-storey R/C buildings

  • Skrekas, Paschalis;Sextos, Anastasios;Giaralis, Agathoklis
    • Earthquakes and Structures
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    • 제6권1호
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    • pp.71-87
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    • 2014
  • Interaction between closely-spaced buildings subject to earthquake induced strong ground motions, termed in the literature as "seismic pounding", occurs commonly during major seismic events in contemporary congested urban environments. Seismic pounding is not taken into account by current codes of practice and is rarely considered in practice at the design stage of new buildings constructed "in contact" with existing ones. Thus far, limited research work has been devoted to quantify the influence of slab-to-slab pounding on the inelastic seismic demands at critical locations of structural members in adjacent structures that are not aligned in series. In this respect, this paper considers a typical case study of a "new" reinforced concrete (R/C) EC8-compliant, torsionally sensitive, 7-story corner building constructed within a block, in bi-lateral contact with two existing R/C 5-story structures with same height floors. A non-linear local plasticity numerical model is developed and a series of non-linear time-history analyses is undertaken considering the corner building "in isolation" from the existing ones (no-pounding case), and in combination with the existing ones (pounding case). Numerical results are reported in terms of averages of ratios of peak inelastic rotation demands at all structural elements (beams, columns, shear walls) at each storey. It is shown that seismic pounding reduces on average the inelastic demands of the structural members at the lower floors of the 7-story building. However, the discrepancy in structural response of the entire block due to torsion-induced, bi-directionally seismic pounding is substantial as a result of the complex nonlinear dynamics of the coupled building block system.