• 제목/요약/키워드: Effective modal superposition

검색결과 8건 처리시간 0.022초

모달 응력 회복법(Modal Stress Recovery)을 이용한 Torsion Beam Axle 내구해석 (Analysis of Durability of Torsion Beam Axle Using Modal Stress Recovery Method)

  • 고준복;임영훈;이동철
    • 대한기계학회논문집A
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    • 제34권10호
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    • pp.1339-1344
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    • 2010
  • 모달중첩법은 구조물의 진동특성을 고려하여 내구수명을 평가할 수 있는 내구해석 기법이다. 본 논문에서는 모달중첩법과 유사하면서도 다물체 동역학 해석시 모달좌표를 직접 계산하여 전체적인 해석시간을 줄일 수 있는 모달응력 회복법을 이용한 내구해석 기법의 타당성에 대하여 검토하였다. 이를 위해 자동차 부품 중 대표적으로 동특성을 고려해야 하는 토션빔 액슬에 대하여 모달응력 회복법을 이용한 내구해석 및 시험을 실시하였다. 해석결과는 시험결과와 취약위치, 내구수명 등이 양호한 일치 결과를 나타내었다. 따라서 모달응력 회복법을 이용한 내구해석 기법은 다양한 구조물의 동특성을 반영한 내구수명 평가에 적용될 수 있을 것이다.

Extension of Direct Displacement-Based Design to Include Higher-Mode Effects in Planar Reinforced Concrete Frame Buildings

  • 아베베 베카 하일루;이종세
    • 한국지진공학회논문집
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    • 제22권5호
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    • pp.299-309
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    • 2018
  • Now that problems with force-based seismic design have been clearly identified, design is inclined toward displacement-based methods. One such widely used method is Direct-Displacement-Based Design (DDBD). Yet, one of the shortcomings of DDBD is considering higher-mode amplification of story shear, moments, and displacements using equations obtained from limited parametric studies of regular planar frames. In this paper, a different approach to account for higher-mode effects is proposed. This approach determines the lateral secant stiffness of the building frames that fulfill the allowable inter-story drift without exceeding the desired story displacements. Using the stiffness, an elastic response spectrum analysis is carried out to determine elastic higher-mode force effects. These force effects are then combined with DDBD-obtained first-mode force effects using the appropriate modal superposition method so that design can be performed. The proposed design procedure is verified using Nonlinear Time History Analysis (NTHA) of twelve planar frames in four categories accounting for mass and stiffness irregularity along the height. In general, the NTHA response outputs compared well with the allowable limits of the performance objective. Thus, it fulfills the aim of minimizing the use of NTHA for planar frame buildings, thereby saving computational resources and effort.

Aerodynamic loads and aeroelastic responses of large wind turbine tower-blade coupled structure in yaw condition

  • Ke, S.T.;Wang, T.G.;Ge, Y.J.;Tamura, Y.
    • Structural Engineering and Mechanics
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    • 제56권6호
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    • pp.1021-1040
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    • 2015
  • An effective method to calculate aerodynamic loads and aeroelastic responses of large wind turbine tower-blade coupled structures in yaw condition is proposed. By a case study on a 5 MW large wind turbine, the finite element model of the wind turbine tower-blade coupled structure is established to obtain the modal information. The harmonic superposition method and modified blade-element momentum theory are used to calculate aerodynamic loads in yaw condition, in which the wind shear, tower shadow, tower-blade modal and aerodynamic interactions, and rotational effects are fully taken into account. The mode superposition method is used to calculate kinetic equation of wind turbine tower-blade coupled structure in time domain. The induced velocity and dynamic loads are updated through iterative loop, and the aeroelastic responses of large wind turbine tower-blade coupled system are then obtained. For completeness, the yaw effect and aeroelastic effect on aerodynamic loads and wind-induced responses are discussed in detail based on the calculating results.

동적응답을 최소화하는 비구속형 제진보의 제진부위 최적설계 (Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses)

  • 이두호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 춘계학술대회논문집
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    • pp.656-661
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    • 2005
  • An optimization formulation of unconstrained damping treatment on beams is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. The loss factors of partially covered unconstrained beam are calculated by the modal strain energy method. Vibration responses are calculated by using the modal superposition method, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in minimizing vibration responses with unconstrained damping layer treatment.

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자이로스코픽 효과와 유체 동압 베어링에 의한 비대칭성을 고려한 회전 유연 디스크-스핀들 시스템의 유한요소 강제 진동 해석 (Finite Element Forced Response of a Spinning Flexible HDD Disk-spindle System Considering the Asymmetry Originating from Gyroscopic Effect and Fluid Dynamic Bearings)

  • 박기용;장건희;서찬희
    • 한국소음진동공학회논문집
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    • 제20권10호
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    • pp.915-922
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    • 2010
  • This paper presents an efficient method for determining the forced response of a spinning flexible disk-spindle system supported by fluid dynamic bearings(FDBs) in a computer hard disk drive(HDD). The spinning flexible disk-spindle system is represented by the asymmetric finite element equations of motion originating from the asymmetric dynamic coefficients of the FDBs and the gyroscopic moment of a spinning disk-spindle system. The proposed method utilizes only the right eigenvectors of the eigenvalue problem to transform the large asymmetric finite element equations of motion into a small number of coupled equations, guaranteeing the accuracy of their numerical integration. The results are then back-substituted into the equations of motion to determine the forced response. The effectiveness of the proposed method was verified by comparing it with the responses from the classical methods of mode superposition with the general eigenvalue problems, and mode superposition with modal approximation. The proposed method was shown to be effective in determining the forced response represented by the asymmetric finite element equations of motion of a spinning flexible disk-spindle system supported by FDBs.

진동응답을 최소화하는 비구속형 제진보의 제진 부위 최적설계 (Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses)

  • 이두호
    • 한국소음진동공학회논문집
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    • 제15권7호
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    • pp.829-835
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    • 2005
  • An optimization formulation of unconstrained damping treatment on beam is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. Vibration responses are calculated by using the modal superposition principle, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in suppressing nitration responses by means of unconstrained damping layer treatment.

Investigation of torsion, warping and distortion of large container ships

  • Senjanovic, Ivo;Vladimir, Nikola;Tomic, Marko
    • Ocean Systems Engineering
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    • 제1권1호
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    • pp.73-93
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    • 2011
  • Large deck openings of ultra large container ships reduce their torsional stiffness considerably and hydroelastic analysis for reliable structural design becomes an imperative. In the early design stage the beam model coupled with 3D hydrodynamic model is a rational choice. The modal superposition method is ordinary used for solving this complex problem. The advanced thin-walled girder theory, with shear influence on both bending and torsion, is applied for calculation of dry natural modes. It is shown that relatively short engine room structure of large container ships behaves as the open hold structure with increased torsional stiffness due to deck effect. Warping discontinuity at the joint of the closed and open segments is compensated by induced distortion. The effective torsional stiffness parameters based on an energy balance approach are determined. Estimation of distortion of transverse bulkheads, as a result of torsion and warping, is given. The procedure is illustrated in the case of a ship-like pontoon and checked by 3D FEM analysis. The obtained results encourage incorporation of the modified beam model of the short engine room structure in general beam model of ship hull for the need of hydroelastic analysis, where only the first few natural modes are of interest.

동적 거동을 받는 철근 콘크리트 뼈대 구조의 최적화 (Optimization of Reinforced Concrete Frames Subjected to Dynamic Loads)

  • 박문호;김상진
    • 대한토목학회논문집
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    • 제14권3호
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    • pp.439-452
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    • 1994
  • 본 논문에서는 동적하중을 받는 철근 콘크리트 뼈대구조의 경비 최적설계방법과 한계상태 설계 최적화 알고리즘을 제시하였다. 뼈대구조의 동적반응은 모드 중첩법을 이용하여 해석하였으며 뼈대구조의 각 부재를 두 개 이상의 요소로 구성하여 각 요소의 절점에서는 축방향, 횡방향 및 휨방향의 거동을 규명할 수 있도록 3 d.o.f(자유도)로 구성된 강성 매트릭스와 질량 매트릭스를 사용하였다. 철근과 콘크리트의 주 재료 경비로 유도한 목적함수는 한계 상태 설계 규정에 따라 철근 콘크리트 뼈대구조의 역학적 거동의 문제와 사용성 제약조건을 만족하면서 최적화를 이루도록 하였다. 목적함수와 제약조건은 단면의 유효깊이, 보의 폭, 인장과 압축 철근의 단면적, 기둥의 전단 철근 단면적들의 설계변수로 유도하였으며 최적화 문제를 형성하였다. 몇가지 예제를 통하여 동적거동을 고려한 철근 콘크리트 뼈대구조의 자동화된 최적 설계 알고리즘의 가능성, 타당성 및 효율성을 검토하였다.

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