• Title/Summary/Keyword: Static and Vibration Analyses

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New insights in piezoelectric free-vibrations using simplified modeling and analyses

  • Benjeddou, Ayech
    • Smart Structures and Systems
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    • v.5 no.6
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    • pp.591-612
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    • 2009
  • New insights are presented in simplified modeling and analysis of free vibrations of piezoelectric - based smart structures and systems. These consist, first, in extending the wide used piezoelectric-thermal analogy (TA) simplified modeling approach in currently static actuation to piezoelectric free-vibrations under short-circuit (SC) and approximate open-circuit (OC) electric conditions; second, the popular piezoelectric strain induced - potential (IP) simplified modeling concept is revisited. It is shown that the IP resulting frequencies are insensitive to the electric SC/OC conditions; in particular, SC frequencies are found to be the same as those resulting from the newly proposed OC TA. Two-dimensional plane strain (PStrain) and plane stress (PStress) free-vibrations problems are then analyzed for above used SC and approximate OC electric conditions. It is shown theoretically and validated numerically that, for both SC and OC electric conditions, PStress frequencies are lower than PStrain ones, and that 3D frequencies are bounded from below by the former and from above by the latter. The same holds for the modal electro-mechanical coupling coefficient that is retained as a comparator of presented models and analyses.

Responses and Modal Analyses of Micro Double Cantilever Beams Interacted by Elctrostatic Forces (정전기력을 받는 마이크로 이중 외팔 보의 응답 및 모드 해석)

  • Jung, Kang-Sik;Moon, Seung-Jae;Yoo, Hong-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.2 s.95
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    • pp.199-205
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    • 2005
  • The governing equations of micro double cantilever beam structures interacted by electrostatic forces are obtained employing Galerkin's method based on Euler beam theory. Variations of static and dynamic responses as well as natural frequencies are estimated for applied voltages. In particular, it is investigated how the variations of beam properties resulted by manufacturing process influence the deflections and the modal characteristics. This study can help to design MEMS structures and to predict the performances with respect to manufacturing tolerances.

Structure Structural Durability Analysis on Bike Carrier Basket (자전거 짐받이에 대한 구조적 내구성 해석)

  • Cho, Jaeung;Han, Moonsik
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.1
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    • pp.70-76
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    • 2013
  • This study investigates structural durability through the analyses of stress, fatigue life and vibration damage at bike carrier basket. As model 2 has less stress and deformation than model 1 on static structural analysis, model 2 becomes more durable than model 1. Among the cases of nonuniform fatigue loads, 'SAE bracket history' with the severest change of load becomes most unstable but 'Sample history' becomes most stable. The amplitude deformations become highest at maximum response frequency of 2400Hz in cases of models 1 and 2. As the values of maximum equivalent stresses become within the allowable material stresses at two holes at the upper parts on models 1 and 2, these models become safe. The structural result of this study can be effectively utilized with the design of bike carrier basket by investigating prevention and durability against fatigue or vibration damage.

Analysis of Non-uniform Tension Effect on Dynamic Characteristics of Spinning Circular Plates in the Wafer Cutting Machine (웨이퍼 가공기에서 회전 원판의 동특성에 미치는 불균일 장력의 영향 분석)

  • 임경화
    • Journal of KSNVE
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    • v.8 no.2
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    • pp.324-330
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    • 1998
  • The forced vibration analysis of the outer-clamped spinnig annular disk with arbitrary in-plane is formulated to investigate the influence of non-uniform tension on the cutting accuracy of wafer cutting machine. The arbitrary in-plan force along the outer edge of an annular plate is expressed as a Fourier series. Galerkin method and modal superposition method are employed to obtain the forced responses under the static force and the impulse force in astationary coordinate. Through qualitative and quantitative analyses, it can be found that forced and impulse responses are sensitive to the non-uniformity of in-plane force, which can bring a bad effect to the accuracy of wafer cutting process. Also, in case of a spinning disk with non-uniform in-plane force, critical speed is required to define in a different way, compared with conventional definition in axi-symmetrical spinning disk.

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Structural Analysis for Light Weight Design of Reduction Gear Box Case of High Speed Train (고속전철 감속기 케이스의 경량화 설계를 위한 구조해석)

  • 김완두;한승우;임영식;권오웅;박순원
    • Proceedings of the KSR Conference
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    • 1999.05a
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    • pp.116-123
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    • 1999
  • A case of the axle gear box which was one of tile power transmission components of high speed train was supported by the bearings installed in axle and the reaction arm connected in bogie frame. Structural analyses of this case were executed for investigation the application of aluminum for weight reduction. The evaluations of the material strength, the thermal strength and deformation, and the stability of natural vibration were carried out according to computer simulation. It was found out that the steel case was safe from the structural failure. For the aluminum case, there was no worry about the vibration resonance and the static failure, but some efforts to reduce tile deformation of the bearing mounting part.

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ALUMINUM SPACE FRAME B.I.W. OPTIMIZATION CONSIDERING MULTIDISCIPLINARY DESIGN CONSTRAINTS

  • KIM B. J.;KIM M. S.;HEO S. J.
    • International Journal of Automotive Technology
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    • v.6 no.6
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    • pp.635-641
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    • 2005
  • This paper presents an ASF (Aluminum Space Frame) BIW (Body in White) optimal design, which minimizes weight and satisfies multidisciplinary constraints such as static stiffness, vibration characteristics, low-/high-speed crash, and occupant safety. As only one cycle CPU time for all the analyses is 12 hours, the ASF design having 11-design variable is a large scaled problem. In this study, ISCD-II and conservative least square fitting method were used for efficient RSM modeling. Likewise, the ALM method was used to solve the approximate optimization problem. The approximate optimum was sequentially added to remodel the RSM. The proposed optimization method uses only 20 analyses to solve the 11-design variable problem. Moreover, the optimal design can achieve $15.6\%$ weight reduction while satisfying all the multidisciplinary design constraints.

Wind-induced dynamic response and its load estimation for structural frames of single-layer latticed domes with long spans

  • Uematsu, Yasushi;Sone, Takayuki;Yamada, Motohiko;Hongo, Takeshi
    • Wind and Structures
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    • v.5 no.6
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    • pp.543-562
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    • 2002
  • The main purpose of this study is to discuss the design wind loads for the structural frames of single-layer latticed domes with long spans. First, wind pressures are measured simultaneously at many points on dome models in a wind tunnel. Then, the dynamic response of several models is analyzed in the time domain, using the pressure data obtained from the wind tunnel experiment. The nodal displacements and the resultant member stresses are computed at each time step. The results indicate that the dome's dynamic response is generally dominated by such vibration modes that contribute to the static response significantly. Furthermore, the dynamic response is found to be almost quasi-static. Then, a series of quasi-static analyses, in which the inertia and damping terms are neglected, is made for a wide range of the dome's geometry. Based on the results, a discussion is made of the design wind load. It is found that a gust effect factor approach can be used for the load estimation. Finally, an empirical formula for the gust effect factor and a simple model of the pressure coefficient distribution are provided.

Static and Dynamic Analyses of Bending Problems Using 3-Dimensional 10-Node Equivalent Element (3차원 10절점-상당요소에 의한 굽힘문제의 정적.동적해석)

  • 권영두;윤태혁
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.117-130
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    • 1997
  • In this paper, a modified 10-node equivalent solid element(MQM10 element), which has smallest degrees of freedom among 3-dimensional solid elements accounting bending deformation as well as extensional and shear deformations of isotropic plates, is proposed. The proposed MQM10 element exhibits stiffer bending stiffness due to the reduction of degrees of freedom from 20-node element or Q11 element. As an effective way to correct the relative stiffness stiffening phenomenon, the modification equation of Gauss sampling points is proposed. The quantity of modification is a function of Poisson's ratio. The effectiveness of MQM10 element is tested by applying it to several examples. It is noted that the results of static and free vibration analysis of isotropic plates using MQM10 elements show a good agreement with those using 20-node element.

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Free vibration analysis of sandwich cylindrical panel composed of graphene nanoplatelets reinforcement core integrated with Piezoelectric Face-sheets

  • Khashayar Arshadi;Mohammad Arefi
    • Steel and Composite Structures
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    • v.50 no.1
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    • pp.63-75
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    • 2024
  • In this paper, the modified couple stress theory (MCST) and first order shear deformation theory (FSDT) are employed to investigate the free vibration and bending analyses of a three-layered micro-shell sandwiched by piezoelectric layers subjected to an applied voltage and reinforced graphene nanoplatelets (GPLs) under external and internal pressure. The micro-shell is resting on an elastic foundation modeled as Pasternak model. The mixture's rule and Halpin-Tsai model are utilized to compute the effective mechanical properties. By applying Hamilton's principle, the motion equations and associated boundary conditions are derived. Static/ dynamic results are obtained using Navier's method. The results are validated with the previously published works. The numerical results are presented to study and discuss the influences of various parameters on the natural frequencies and deflection of the micro-shell, such as applied voltage, thickness of the piezoelectric layer to radius, length to radius ratio, volume fraction and various distribution pattern of the GPLs, thickness-to-length scale parameter, and foundation coefficients for the both external and internal pressure. The main novelty of this work is simultaneous effect of graphene nanoplatelets as reinforcement and piezoelectric layers on the bending and vibration characteristics of the sandwich micro shell.

Vibrational Characteristics of an End Beam of a Freight Cal- on the Taebaek Line (태백선을 주행하는 화차 엔드빔의 진동특성에 관한 연구)

  • 문경호;홍재성;이동형;서정원;함영삼
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.10
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    • pp.962-967
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    • 2004
  • A bogie is the device that connects a car body and wheel sets of a rail vehicle. It is the critical component that determine:; the running safety, The bogie consists of a frame, suspensions, brakes and wheel sets. Various analyses including a numerical simulation using a finite element method, a static load test, a fatigue test, ai)d r running test should be carried out to design the bogie. However cracks have been found at some end beams of the bogies mounted on the freight cars running with the high speed. The cracks of the end beam results in deterioration of the brake performance an the running safety, A new design has been suggested to solve this problem by ROTEM company and it's performance has been tested in this paper. Numerical simulations and dynamic tests are carried out to figure out the causes of cracks in the conventional bogie, and the vibrational characteristics of the improved bogie are compared with those of the conventional one.