• 제목/요약/키워드: non-conservative force

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주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석 (Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force)

  • 배영철
    • 한국전자통신학회논문지
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    • 제11권1호
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    • pp.87-92
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    • 2016
  • Van der Pol 발진기는 비선형 제동 현상을 가진 비보존 발진기로서 높은 진폭에서의 에너지는 소산적이며 (dissipative)이고 낮은 진폭들에서는 생성되는 구조를 가진다. 본 논문에서는 Van Der Pol 발진기 모델에서 다른 거동을 확인하기 위하여 주기적 외력을 인가하고 여기에서 파라미터 변화에 따라 어떻게 리미트 사이클이 변화하는지에 대한 패턴을 확인하고자 한다.

Rayleigh-Ritz procedure for determination of the critical load of tapered columns

  • Marques, Liliana;Da Silva, Luis Simoes;Rebelo, Carlos
    • Steel and Composite Structures
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    • 제16권1호
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    • pp.45-58
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    • 2014
  • EC3 provides several methodologies for the stability verification of members and frames. However, when dealing with the verification of non-uniform members in general, with tapered cross-section, irregular distribution of restraints, non-linear axis, castellated, etc., several difficulties are noted. Because there are yet no guidelines to overcome any of these issues, safety verification is conservative. In recent research from the authors of this paper, an Ayrton-Perry based procedure was proposed for the flexural buckling verification of web-tapered columns. However, in order to apply this procedure, Linear Buckling Analysis (LBA) of the tapered column must be performed for determination of the critical load. Because tapered members should lead to efficient structural solutions, it is therefore of major importance to provide simple and accurate formula for determination of the critical axial force of tapered columns. In this paper, firstly, the fourth order differential equation for non-uniform columns is derived. For the particular case of simply supported web-tapered columns subject to in-plane buckling, the Rayleigh-Ritz method is applied. Finally, and followed by a numerical parametric study, a formula for determination of the critical axial force of simply supported linearly web-tapered columns buckling in plane is proposed leading to differences up to 8% relatively to the LBA model.

터보 압축기 다단 회전축계의 진동 및 안정성 연구 (Vibration and Stability Analysis of a Multi-stepped Shaft System of Turbo Compressor)

  • 서정석;강성환;박상윤;안창기;송오섭
    • 한국소음진동공학회논문집
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    • 제24권8호
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    • pp.583-591
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    • 2014
  • The mathematical modeling on the free vibration and stability of a multi-stepped shaft of turbo compressor is performed in this study. The multi-stepped shaft is modeled as a non-uniform Timoshenko beam supported by anisotropic bearings. It is assumed that the shaft is spinning with constant speed about its longitudinal axis and subjected to a conservative axial force induced by front and rear impellers attached to the shaft. The structural model incorporates non-classical features such as transverse shear and rotary inertia. A structural coupling between vertical and lateral motions is induced by Coriolis acceleration terms. The governing equations are derived via Hamilton's variational principle and the equations are transformed to the standard form of an eigenvalue problem. The implications of combined gyroscopic effect, conservative axial force, bearing stiffness and damping are revealed and a number of pertinent conclusions are outlined. In this study analytical results are compared with those from ANSYS finite element analysis and experimental modal testing.

철근콘크리트 원형단면 교각의 유효강성 (Effective Stiffness of Circular Reinforced Bridge Columns)

  • 배성용;김준범;이재훈
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2001년도 봄 학술발표회 논문집
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    • pp.833-838
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    • 2001
  • The objectives of this study are to investigate effective stiffness of circular reinforced bridge columns and to provide reasonable effective stiffness equations for seismic design to the current Korean Bridge Design Standard. The material nonlinear analysis was conducted for 5184 columns of which variables were the concrete compressive stress, the steel yielding stress, the longitudinal steel location parameter, the longitudinal steel ratio, the axial load level, and the diameter of section. The current Korean Bridge Design Standard generally used the gross section stiffness because of unclear provision, it may be non-conservative because of being evaluated greater design seismic force and less design displacement than those of the abroad provision. Therefore, the proposed effective stiffness equations include three variables such as : the longitudinal steel location parameter, the longitudinal steel ratio, and the axial load ratio. Two equations of effective stiffness are proposed which may be used for earthquake force estimation and for earthquake displacement estimation, respectively.

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Effects of damping on the linear stability of a free-free beam subjected to follower and transversal forces

  • Kavianipour, O.;Sadati, S.H.
    • Structural Engineering and Mechanics
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    • 제33권6호
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    • pp.709-724
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    • 2009
  • In this paper a free-free uniform beam with damping effects subjected to follower and transversal forces at its end is considered as a model for a space structure. The effect of damping on the stability of the system is first investigated and the effects of the follower and transversal forces on the vibration of the beam are shown next. Proportional damping model is used in this work, hence, the effects of both internal (material) and external (viscous fluid) damping on the system are noted. In order to derive the frequency of the system, the Ritz method has been used. The mode shapes of the system must therefore be extracted. The Newmark method is utilized in the study of the system vibration. The results show that an increase in the follower and transversal forces leads to an increase of the vibrational motion of the beam which is not desirable.

분수 차수 미분 방정식과 주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석 (Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force and Fractional Differential Equation)

  • 이정구;김순환;배영철
    • 한국전자통신학회논문지
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    • 제11권2호
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    • pp.191-196
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    • 2016
  • Van der Pol 발진기는 비선형 제동 현상을 가진 비보존 발진기로서 높은 진폭에서의 에너지는 소산적이며 낮은 진폭들에서는 생성되는 구조를 가진다. 본 논문에서는 분수 차수를 가지는 Van der Pol 발진기 모델에서 주기적 외력을 인가하였을 경우 분수차수로 표현되는 미분 방정식에서 분수차수의 파라미터 변화에 따른 리미트 사이클이 변화 상태를 확인하고자 한다.

타액에 의한 오염이 상아질 접착제의 미세전단결합강도에 미치는 영향 (EFFECT OF SALIVARY CONTAMINATION OF TEETH ON MICROTENSILE BOND STRENGTH OF VAR10US DENTIN BONDING SYSTEMS.)

  • 최경규;류길주
    • Restorative Dentistry and Endodontics
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    • 제28권3호
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    • pp.203-208
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    • 2003
  • The purpose of this study was to evaluate the effect of salivary contamination of teeth on bonding efficacy of self-priming and self-etching DBSs. The materials used were Single Bond(SB, self-priming system, 3M), Unifil Bond(UB, self-etching system, GC), and Scotchbond Multi-Purpose Plus(SM, 3M) as control. Forty five human molars randomly allocated to three groups as dentin bonding systems tested and embedded in epoxy resin. Then the specimens were wet-ground to expose flat buccal enamel surface or flat occlusal dentin surface and cut bucco-lingually to form two halves with slow speed diamond saw. One of them was used under non-contamination, other under contamination with saliva. The bonding procedure was according to the manufacturer's directions and resin composite(Z-100, 3M Dental Products, St. Paul, MN) was built-up on the bonded surface 5mm high. The specimens were ground carefully at the enamel-composite interface with fine finishing round diamond bur to create an hour-glass shape yielding bonded surface areas of $1.5{\pm}0.1\textrm{mm}^2$. The specimens were bonded to the modified microtensile testing apparatus with cyanoacrylate, attached to the universal testing machine and stressed in tension at a CHS of 1mm/min. The tensile force at failure was recorded and converted to a tensile stress(MPa). Mean values and standard deviations of the bond strength are listed in table. One-way ANOVA was used to determine significant difference at the 95% level. The bond strength of SBMP and SB were not affected by salivary contamination, but that of UB was significantly affected by salivary contamination. These results indicate that DBSs with total etch technique seems less likely affected by salivary contamination in bonding procedure.

유연한 벽면을 가진 사각형 물탱크의 설계지진력 산정 (Seismic Design Force for Rectangular Water Tank with Flexible Walls)

  • 김민우;유은종;박지훈
    • 한국지진공학회논문집
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    • 제27권6호
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    • pp.303-310
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    • 2023
  • The equivalent static load for non-structural elements has a limitation in that the sloshing effect and the interaction between the fluid and the water tank cannot be considered. In this study, the equations to evaluate the impulse and convective components in the design codes and previous research were compared with the shaking table test results of a rectangular water tank with flexible wall panels. The conclusions of this study can be summarized as follows: (1) It was observed that the natural periods of the impulsive component according to ACI 350.3 were longer than system identification results. Thus, ACI 350.3 may underestimate the earthquake load in the case of water tanks with flexible walls. (2) In the case of water tanks with flexible walls, the side walls deform due to bending of the front and back walls. When such three-dimensional fluid-structure interaction was included, the natural period of the impulsive component became similar to the experimental results. (3) When a detailed finite element (FE) model of the water tank was unavailable, the assumption Sai = SDS could be used, resulting in a reasonably conservative design earthquake load.

자동차 시트 틸팅 각도에 따른 기어박스 마찰소음 영향도 (Tilting Effect of Automotive Seat System on Squeak Noise)

  • 강재영
    • 한국소음진동공학회논문집
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    • 제20권6호
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    • pp.577-582
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    • 2010
  • The squeak propensity in the gear box of an automotive seat system is investigated analytically. The mating parts in the gear box are the lead screw and the nut, where the friction stresses are exerted on the thread of the screw. The lead screw is modeled as a circular beam allowing the bending and torsional vibrations. In the system, the lead screw converts rotating to translating motion so that it moves the automotive seat slightly tilted on the floor. The tilting angle is considered one major parameter in this study. Therefore, the equations of motion associated with the non-conservative friction force are derived with the inclusion of the tilting angle. It is found that the squeak noise corresponds to the several bending modes of the lead screw and its propensity is increased by the tilting angle of the seat.

Circulatory Force를 받는 평면(平面)뼈대 구조물(構造物)의 동적(動的) 후좌굴(後座屈) 거동(擧動)에 관한 연구(硏究) (A Study on the Dynamic Post-Buckling Behavior of the Plane Frame Structures Subjected to Circulatory Forces)

  • 김문영;장승필
    • 대한토목학회논문집
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    • 제8권2호
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    • pp.13-24
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    • 1988
  • 본(本) 논문(論文)은 평면(平面)뼈대 구조물(構造物)의 동적(動的) 후좌굴(後座屈) 거동(擧動)을 파악(把握)하기 위하여 기하적(幾何的)인 비선형(非線型) 유한요소법(有限要素法)을 제시(提示)한다. 이를 위하여 3차원(次元) 연속체(連續體)에 대한 가상(假想)일의 원리(原理)에 배루누이-오일러 가정을 도입하므로서, 평면(平面)뼈대에 대한 탄성강도(彈性剛度)매트릭스, 기하적(幾何的)인 강도(剛度)매트릭스 그리고 질량(質量)매트릭스들을 유도한다. circulatory force를 받는 경우에는 circulatory discrete joint load와 circulatory distributed load에 대한 load correction stiffness matrix를 유도하므로써 이러한 하중을 받는 구조물(構造物)의 접선강도(接線剛度)매트릭스는 비대칭 행렬임을 보인다. 유도된 비선형(非線型) 운동방정식(運動方程式)의 해(解)는 Newton-Raphson 방법(方法) 및 Newmark 방법(方法)을 사용(便用)하여 구한다.

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