• 제목/요약/키워드: Non-Linear stiffness

검색결과 308건 처리시간 0.023초

압축된 방진고무의 강성 해석 (Stiffness Analysis of Compressed Rubber Components for Anti-Vibration)

  • 김국원;임종락;안태길
    • 한국정밀공학회지
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    • 제16권6호
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    • pp.141-147
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    • 1999
  • Optical disk technology with a laser beam for data recording and retrieval is one of the most promising route for high density information storage in multimedia era. As the storage density and data transfer rates are increased, mechanical issues, mainly noise and vibration, become critical. Rubber materials are extensively used in various machine design application, mainly for vibration/shock/noise control devices. Over the years an enormous effort has been put into developing procedures to provide properties of rubber components with complex shape and under pre-deformed state. In this paper, non-linear large deformations of a rubber mount for optical disk drive were investigated using the finite element method. A tension test of rubber material was performed, to calculate a strain energy function. According to the pre-deformed state, the variation of rubber mount stiffness were calculated and the reliability of numerical results were checked by compared with the measuring the deflection values. Also, the effects of the pre-deformed rubber mount on the system dynamic characteristics were investigated and the relation between the static stiffness variation of rubber mount and the natural frequence variation of system was discussed.

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Soft story retrofit of low-rise braced buildings by equivalent moment-resisting frames

  • Ebadi, Parviz;Maghsoudi, Ahmad;Mohamady, Hessam
    • Structural Engineering and Mechanics
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    • 제68권5호
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    • pp.621-632
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    • 2018
  • Soft-story buildings have bottom stories much less rigid than the top stories and are susceptible to earthquake damage. Therefore, the seismic design specifications need strict design considerations in such cases. In this paper, a four-story building was investigated as a case study and the effects of X-braces elimination in its lower stories studied. In addition, the possibility of replacement of the X-braces in soft-stories with equivalent moment resisting frame inspected in two different phases. In first phase, the stiffness of X-braces and equivalent moment-resisting frames evaluated using classic equations. In final phase, diagonals removed from the lowest story to develop a soft-story and replaced with moment resisting frames. Then, the seismic stiffness variation of moment-resisting frame evaluated using nonlinear static and dynamic analyses. The results show that substitution of braced frames with an equivalent moment-resisting frame of the same stiffness increases story drift and reduces energy absorption capacity. However, it is enough to consider the needs of building codes, even using equivalent moment resisting frame instead of X-Braces, to avoid soft-story stiffness irregularity in seismic design of buildings. Besides, soft-story development in the second story may be more critical under strong ground excitations, because of interaction of adjacent stories.

Seismic behavior of RC frames with partially attached steel shear walls: A numerical study

  • Kambiz Cheraghi;Majid Darbandkohi;Mehrzad TahamouliRoudsari;Sasan Kiasat
    • Earthquakes and Structures
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    • 제25권6호
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    • pp.443-454
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    • 2023
  • Steel shear walls are used to strengthen steel and concrete structures. One such system is Partial Attached Steel Shear Walls (PASSW), which are only connected to frame beams. This system offers both structural and architectural advantages. This study first calibrated the numerical model of RC frames with and without PASSW using an experimental sample. The seismic performance of the RC frame was evaluated by 30 non-linear static analyses, which considered stiffness, ductility, lateral strength, and energy dissipation, to investigate the effect of PASSW width and column axial load. Based on numerical results and a curve fitting technique, a lateral stiffness equation was developed for frames equipped with PASSW. The effect of the shear wall location on the concrete frame was evaluated through eight analyses. Nonlinear dynamic analysis was performed to investigate the effect of the shear wall on maximum frame displacement using three earthquake records. The results revealed that if PASSW is designed with appropriate stiffness, it can increase the energy dissipation and ductility of the frame by 2 and 1.2 times, respectively. The stiffness and strength of the frame are greatly influenced by PASSW, while axial force has the most significant negative impact on energy dissipation. Furthermore, the location of PASSW does not affect the frame's behavior, and it is possible to have large openings in the frame bay.

Finite Elerllent Analysis of the Pull-out Test

  • Yi, Chang-Tok
    • 한국지반공학회지:지반
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    • 제12권3호
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    • pp.49-62
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    • 1996
  • 인발시험은 보강토 구조물의 설계에 있어 보강재와 흙사이의 강도 정수를 결정하는데 사용된다. 그러나 이 시험의 해석시 보강재를 따라 발생하는 전단강도가 일정한 것으로 가정하는데 이는 인발시험중 흙과 보강재 사이의 점진성 전단으로 인해 흙과 보강재의 전단-변위 관계 계산시 오류가 발생하게 된다. 구과 보강재 사이의 shear stiffness계산시 점진성전단의 영향을 평가하기 위하여 유한요소법으로 인발시헙을 해석하였다. 흙과 보강재는 선형과 비선형거동으로 채석하였고 shear stiffnss는 일반적인 방법으로 계산하였는데 수정된 shear stiffness와는 많은 차이가 있었으며 그 차이로 인해 유한요소해석의 결과가 달라지게 된다. 본 논문에서는 유한요소해석결과와 시험치를 비교 분석하였으며 개선된 인발시험 해극방법에 대하여 논하였다.

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A comparison of three performance-based seismic design methods for plane steel braced frames

  • Kalapodis, Nicos A.;Papagiannopoulos, George A.;Beskos, Dimitri E.
    • Earthquakes and Structures
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    • 제18권1호
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    • pp.27-44
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    • 2020
  • This work presents a comparison of three performance-based seismic design methods (PBSD) as applied to plane steel frames having eccentric braces (EBFs) and buckling restrained braces (BRBFs). The first method uses equivalent modal damping ratios (ξk), referring to an equivalent multi-degree-of-freedom (MDOF) linear system, which retains the mass, the elastic stiffness and responds in the same way as the original non-linear MDOF system. The second method employs modal strength reduction factors (${\bar{q}}_k$) resulting from the corresponding modal damping ratios. Contrary to the behavior factors of code based design methods, both ξk and ${\bar{q}}_k$ account for the first few modes of significance and incorporate target deformation metrics like inter-storey drift ratio (IDR) and local ductility as well as structural characteristics like structural natural period, and soil types. Explicit empirical expressions of ξk and ${\bar{q}}_k$, recently presented by the present authors elsewhere, are also provided here for reasons of completeness and easy reference. The third method, developed here by the authors, is based on a hybrid force/displacement (HFD) seismic design scheme, since it combines the force-base design (FBD) method with the displacement-based design (DBD) method. According to this method, seismic design is accomplished by using a behavior factor (qh), empirically expressed in terms of the global ductility of the frame, which takes into account both non-structural and structural deformation metrics. These expressions for qh are obtained through extensive parametric studies involving non-linear dynamic analysis (NLDA) of 98 frames, subjected to 100 far-fault ground motions that correspond to four soil types of Eurocode 8. Furthermore, these factors can be used in conjunction with an elastic acceleration design spectrum for seismic design purposes. Finally, a comparison among the above three seismic design methods and the Eurocode 8 method is conducted with the aid of non-linear dynamic analyses via representative numerical examples, involving plane steel EBFs and BRBFs.

알루미늄 lsogrid 패널의 좌굴시험 및 비선형 해석 (Buckling Test and Non-linear Analysis of Aluminium Isogrid Panel)

  • 유준태;이종웅;윤종훈;장영순;이영무;조광래
    • 한국항공우주학회지
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    • 제33권4호
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    • pp.35-40
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    • 2005
  • 압축하중을 받는 실린더형 구조물에 대한 보강방법으로는 스킨-스트링거, 격자보강 형상 등 여러 종류가 있다. 그 중 isogrid 형상은 정삼각형형태의 보강대가 반복되는 보강구조로서 여러 가지 조합하중 및 집중하중에 대한 대처능력이 우수한 보강구조이다.본 논문에서는 격자보강 구조 중 isogrid 구조에 대한 압축 좌굴시험 및 비선형 해석을 수행하였다. Isogrid 패널은 두께가 11.43 mm, 높이가 660 mm, 외경이 2.4 m이며 70도의 원호를 이루는 알루미늄합금 일체형 구조이다. 시편에 대한 압축 좌굴시험을 통하여 국부좌굴강도, 전체좌굴강도, 국부좌굴후의 거동 등을 확인하였다. 또한 MSC/MARC를 이용한 비선형 FEM 해석을 수행하여 구조시험 결과와 비교하였다. 해석 시에는 패널의 소성 가공 시 발생한 형상공차를 고려하였다. 시험결과와 해석결과는 좌굴하중 및 좌굴모드가 모두 비교적 일치하였다.

소형 정밀 왕복동기기용 선형 탄성 베어링 모델(KIMM-LFB)의 설계 및 해석 (Design and analysis of a newly devised linear flexure bearing(KIMM-LFB) for small precision reciprocating machines)

  • 최상규;박성제;홍용주;김효봉
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.404-409
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    • 2002
  • A newly devised linear flexure bearing (KIMM-LFB) for reciprocating machines is disclosed having improved tight gas clearance maintaining capability for better system performance. KIMM-LFB is an integrated device comprising an axially moving diaphragm with circumferentially arranged arc-shaped flexure blades secured between rim and hub spacers, which turn out to have higher radial stiffness than the one with circumferential tangent cantilever flexure blades. It is expected for KIMM-LFB to play a key role in designing long life, special purpose reciprocating machines such as spacecraft borne cryogenic refrigerators (cryocoolers) by providing frictionless, non-wearing, linear movement and radial support for the machines as well as a gas clearance seal by maintaining extremely tight clearances between piston and cylinder.

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충격성분을 갖는 보의 진동에 대한 비선형 해석 (Nonlinear Analysis of Beam Vibration with Impact)

  • 이봉현;최연선
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.455-460
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    • 2000
  • Impact occurs when the vibration amplitude of a mechanical component exceeds a given clearance size. Examples of these mechanical systems include impact dampers, gears, link mechanism, rotor rub, and so on. The vibration due to impact has strong non-linear characteristics, which cannot be predicted by usual linear analysis. The designs of mechanical systems with impacts should be done on the basis of overall dynamic characteristics of the systems. In this paper, the nonlinear behaviors of a beam with a periodically moving support and a rigid stop are investigated numerically and experimentally. The beam vibration with impact is modeled by the equations of motion containing piecewise linear restoring forces and by the coefficient of restitution, respectively. Experimental and numerical results show jump phenomena and higher-harmonic vibrations. The effects between the increase of stiffness during impact and the coefficient of restitution are investigated through the comparison of the experimental and numerical results.

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철도차량의 비선형 안정성에 영향을 미치는 인자 연구 (A Study on the Factors Influencing the Non-Linear Stability of Railway Vehicles)

  • 정우진;신정렬
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 춘계학술대회논문집B
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    • pp.513-518
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    • 2001
  • This research has been performed to estimate the hunting motion hysteresis of railway passenger cars. An old and a new car with almost same structure are chosen as analysis models. To solve effectively a set of simultaneous equations of motion strongly coupled with creep relations, shooting algorithm in which the nonlinear relations are regarded as a two-point boundary value problem is adopted. The bifurcation theory is applied to the dynamic analysis to distinguish differences between linear and nonlinear critical speeds by variation of parameters. It is found that there are some factors and their operation area to make nonlinear critical speed respond to them more sensitivity than linear critical speed. Full-scale roller rig tests are carried out for the validation of the numerical results. Finally, it is concluded that the wear of wheel profile and the stiffness discontinuities of wheelset suspension caused by deterioration have to be considered in the analysis to predict hysteresis of critical speed precisely.

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Time varying LQR-based optimal control of geometrically exact Reissner's beam model

  • Suljo Ljukovac;Adnan Ibrahimbegovic;Maida Cohodar-Husic
    • Coupled systems mechanics
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    • 제13권1호
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    • pp.73-93
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    • 2024
  • In this work, we propose combining an advanced optimal control algorithm with a geometrically exact beam model. For simplicity, the 2D Reissner beam model is chosen to represent large displacements and rotations. The difficulty pertains to the nonlinear nature of beam kinematics affecting the tangent stiffness matrix, making it non-constant, which compromises direct use of optimal control methods for linear problems. Thus, we seek to accommodate a time varying control using linear-quadratic regulator (LQR) algorithm with the proposed geometrically nonlinear beam model. We provide a detailed theoretical formulation and its numerical implementation in a variational format form. Several illustrative numerical examples are provided to confirm an excellent performance of the proposed methodology.