• 제목/요약/키워드: stiffness problem

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Dynamic Analysis of Rotating Turbomachine Blades Including Coriolis Effect (코리올리 영향을 고려한 회전하는 터보기계 블레이드의 동특성 해석)

  • Lee, Jin-Gap
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.11 s.170
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    • pp.2067-2077
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    • 1999
  • Recently, turbomachine blades are becoming larger and more flexible, it is necessary to calculate natural frequencies of a rotating blades for avoiding resonance. This problem is complicated by the fact that blades are tapered, twisted and curved. To keep with this demands, the designer must rely on more exact methods of calculation. In this paper, natural frequencies of a single straight or curved blade with variable R.P.M. are calculated by a stiffness matrix method. Results of investigation on the correspondence between the calculated and other values of the literature are described. The calculated values are agree with the other values but with a small error. Furthermore, the influence of Coriolis force on the natural frequency for rotating, curved turbo blades is described.

Dynamic Analysis of Vehicle Steering System Including Gear Backlash (기어의 백래쉬를 고려한 승용차 조향계의 동특성 연구)

  • 김종관
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.5 no.3
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    • pp.40-49
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    • 1996
  • The problem related to the rotational vibration at steering wheel end of passenger cars during high speed driving is investigated. to analyze vibration of steering wheel, a steering system of passenger car is modelled in twelve degrees of freedom including backlash effect of rack and pinion gear system. The one degree of freedom system with backlash in investigated by the analytical method. Consequently the skeleton curve and the frequency response curves are computed. The steering system is analyzed by the numerical simulation using the 4th order Runge-Kutta method, the obtained results are compared with the experimental data. Also the effects of the change of rack gear tooth stiffness and backlash on the acceleration level of steering wheel are investigated. As a result, it can be found that the acceleration level of steering wheel becames lower as the rack gear tooth stiffness becames higher, and that acceleration level becames high as the magnitude of backlash between rack and pinion gear increase.

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Detailed Analysis of Ground Vibration in Subway Tunnel (지하철 터널구간에서의 지반진동 상세해석)

  • Lee il-wha;Hwang seon-keun;Joh sung-ho;Ko hak-song
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.722-725
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    • 2005
  • Recently, ground-borne noise and vibration generated by underground transit system has been recognized as an important environmental problem. This study reviews several of the improved procedures that have been used to predict ground-borne vibration. At first, ground stiffness profile is examined by SASW test which is the most reasonable surface wave test. It is very important to acquire the exact ground stiffness profile at ground response analysis. At second, the train loading to act roadbed is calculated by using the real measured phase angle data. In finite element analysis, averaged acceleration method, infinite element, Rayleigh damping and 2-dimensional wave propagation analysis is performed.

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Exact Free Vibration Analysis of Straight Thin-walled Straight Beams (직선 박벽보에 대한 엄밀한 자유진동해석)

  • 김문영;윤희택;나성훈
    • Proceedings of the KSR Conference
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    • 2000.11a
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    • pp.358-365
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    • 2000
  • For the general case of loading conditions and boundary conditions, it is very difficult to obtain closed form solutions for buckling loads and natural frequencies of thin-walled structures because its behaviour is very complex due to the coupling effect of bending and torsional behaviour. In consequence, most of previous finite element formulations are introduce approximate displacement fields to use shape functions as Hermitian polynomials, and so on. The Purpose of this study is to presents a consistent derivation of exact dynamic stiffness matrices of thin-walled straight beams, to be used ill tile free vibration analysis, in which almost types of boundary conditions are exist An exact dynamic element stiffness matrix is established from governing equations for a uniform beam element of nonsymmetric thin-walled cross section. This numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. The natural frequency is evaluated for the thin-walled straight beam structure, and the results are compared with analytic solutions in order to verify the accuracy of this study.

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Structural Damage Detection Using Swarm Intelligence and Model Updating Technique (군집지능과 모델개선기법을 이용한 구조물의 결함탐지)

  • Choi, Jong-Hun;Koh, Bong-Hwan
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.9
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    • pp.884-891
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    • 2009
  • This study investigates some of swarm intelligence algorithms to tackle a traditional damage detection problem having stiffness degradation or damage in mechanical structures. Particle swarm(PSO) and ant colony optimization(ACO) methods have been exploited for localizing and estimating the location and extent damages in a structure. Both PSO and ACO are population-based, stochastic algorithms that have been developed from the underlying concept of swarm intelligence and search heuristic. A finite element (FE) model updating is implemented to minimize the difference in a set of natural frequencies between measured and baseline vibration data. Stiffness loss of certain elements is considered to simulate structural damages in the FE model. It is numerically shown that PSO and ACO algorithms successfully completed the optimization process of model updating in locating unknown damages in a truss structure.

An Optimum Design of a Rotor-Bearing Spindle System for a Ultra Centrifuge (초고속 원심분리 회전축계의 최적설계)

  • 김종립;윤기찬;박종권
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.6
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    • pp.145-152
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    • 1998
  • This paper presents an optimum design of a rotor-bearing spindle system for a ultra centrifuge (80,000 RPM) supported by ball bearings with nonlinear stiffness characteristics. To obtain the nonlinear bearing stiffnesses, a ball bearing is modeled in five degrees of freedom and is analyzed quasi-statically. The dynamic behaviors of the nonlinear rotor-bearing system are analyzed by using a transfer-matrix method iteratively. For optimization. we use the cost function that simultaneously minimizes the weight of a rotor and maximizes the separation margins to yield the critical speeds as far from the operating speed as possible. Augmented Lagrange Multiplier (ALM) method is employed for the nonlinear optimization problem. The result shows that the rotor-bearing spindle system is optimized to obtain 9.5% weight reduction and 21% separation margin.

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Free Vibration Analysis of Lattice Type Structures by the Combination and Transfer of Stiffness Coefficient (강성계수의 조합 및 전달에 의한 격자형 구조물의 자유진동 해석)

  • 문덕홍;최명수;강화중;강현석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.04a
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    • pp.169-175
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    • 1997
  • Recently it is increased by degrees to produce complex and large lattice structures such as bridge, tower, crane, and space structures. In general, in order to analyse these structures we have used finite element method(FEM). In this method, however, it is necessary to use a large amount of computer memory and to take long computation time. For overcoming this problem, the Authors have developed the transfer dynamic stiffness coefficient method(TDSCM) which consists on the concept of the substructure synthesis method and transfer influence coefficient method. In this paper, the new free vibration analysis method for large type lattice structure is formulated by the TDSCM. And the results obtained by TDSCM are compared with those obtained by FEM, transfer matrix method and experiment. And it is confirmed for TDSCM to be the numerical high accuracy and high speed structure analysis method.

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Change of Stiffness and Impact-Resistance of Flush Door Depending on Core Composition (플러쉬문의 심재구성에 따른 강성도 및 내충격성의 변화)

  • 장상식
    • Journal of the Korea Furniture Society
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    • v.12 no.1
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    • pp.39-45
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    • 2001
  • This study was carried out to evaluate the feasibility of using HDF as surface panels as well as core materials for flush door manufacturing. Several core compositions were developed and applied to manufacture door specimens. Core materials were tested under bending load, door manufacturing process was analysed to find better way of using HDF for door manufacturing, and door specimens were tested under bending, twisting and impact loads. From this study, it was concluded that HDF can be used to manufacture quality flush doors. And it was desirable to use light color HDF as surface panels because dark color HDF caused a problem in manufacturing process by shadow shown through finishing veneer. HDF doors were light, and showed good quality and higher resistance against bending twisting and impact loads.

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A Simple Finite Element Analysis of Axisymmetrical Shell Structures (축대칭 쉘 구조의 단순 유한요소 해석)

  • 김용희;이윤성
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.45 no.2
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    • pp.68-77
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    • 2003
  • Shell structure are widely used in a variety of engineering application and mathematical solution of shell structures are available only for a few special cases. The solution of shell structure is more complicated when it has such condition as winker foundation, variable thickness and other problem. In this paper, a simple finite element method is presented for the analysis of axisymmetric several types of shell structure subjected to axisymmetric loads and having uniform and varying wall thickness on elastic foundation. The method is based on the analogy with a beam on elastic foundation (BEF), foundation stiffness matrix where the foundation modulus and beam flexural rigidity are replaced by appropriate parameters pertaining to the shell under considerations. The technique is attractive for implementation on a numerical solution by means of a computer program coded in FORTRAN language with a few elements. To demonstrate this fact, it gives good results which compare well with SAP2000.

Time domain identification of multiple cracks in a beam

  • He, Z.Y.;Lu, Z.R.
    • Structural Engineering and Mechanics
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    • v.35 no.6
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    • pp.773-789
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    • 2010
  • It is well known that the analytical vibration characteristic of a cracked beam depends largely on the crack model. In the forward analysis, an improved and simplified approach in modeling discrete open cracks in beams is presented. The effective length of the crack zone on both sides of a crack with stiffness reduction is formulated in terms of the crack depth. Both free and forced vibrations of cracked beams are studied in this paper and the results from the proposed modified crack model and other existing models are compared. The modified crack model gives very accurate predictions in the modal frequencies and time responses of the beams particularly with overlaps in the effective lengths with reduced stiffness. In the inverse analysis, the response sensitivity with respect to damage parameters (the location and depth of crack, etc.) is derived. And the dynamic response sensitivity is used to update the damage parameters. The identified results from both numerical simulations and experiment work illustrate the effectiveness of the proposed method.