• Title/Summary/Keyword: Spring Parameter

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Analytic responses of slender beams supported by rotationally restrained hinges during support motions

  • Ryu, Jeong Yeon;Kim, Yong-Woo
    • Nuclear Engineering and Technology
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    • v.52 no.12
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    • pp.2939-2948
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    • 2020
  • This paper presents an analytic solution procedure of the rotationally restrained hinged-hinged beam subjected to transverse motions at supports based on EBT (Euler-Bernoulli beam theory). The EBT solutions are compared with the solutions based on TBT (Timoshenko beam theory) for a wide range of the rotational restraint parameter (kL/EI) of slender beams whose slenderness ratio is greater than 100. The comparison shows the followings. The internal loads such as bending moment and shearing force of an extremely thin beam obtained by EBT show a good agreement with those obtained by TBT. But the discrepancy between two solutions of internal loads tends to increase as the slenderness ratio decreases. A careful examination shows that the discrepancy of the internal loads originates from their dynamic components whereas their static components show a little difference between EBT and TBT. This result suggests that TBT should be employed even for slender beams to consider the rotational effect and the shear deformation effect on dynamic components of the internal loads. The influence of the parameter on boundary conditions is examined by manipulating the spring stiffness from zero to a sufficiently large value.

Damping and vibration analysis of viscoelastic curved microbeam reinforced with FG-CNTs resting on viscoelastic medium using strain gradient theory and DQM

  • Allahkarami, Farshid;Nikkhah-Bahrami, Mansour;Saryazdi, Maryam Ghassabzadeh
    • Steel and Composite Structures
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    • v.25 no.2
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    • pp.141-155
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    • 2017
  • This paper presents an investigation into the magneto-thermo-mechanical vibration and damping of a viscoelastic functionally graded-carbon nanotubes (FG-CNTs)-reinforced curved microbeam based on Timoshenko beam and strain gradient theories. The structure is surrounded by a viscoelastic medium which is simulated with spring, damper and shear elements. The effective temperature-dependent material properties of the CNTs-reinforced composite beam are obtained using the extended rule of mixture. The structure is assumed to be subjected to a longitudinal magnetic field. The governing equations of motion are derived using Hamilton's principle and solved by employing differential quadrature method (DQM). The effect of various parameter like volume percent and distribution type of CNTs, temperature change, magnetic field, boundary conditions, material length scale parameter, central angle, viscoelastic medium and structural damping on the vibration and damping behaviors of the nanocomposite curved microbeam is examined. The results show that with increasing volume percent of CNTs and considering magnetic field, material length scale parameter and viscoelastic medium, the frequency of the system increases and critically damped situation occurs at higher values of damper constant. In addition, the structure with FGX distribution type of CNTs has the highest stiffness. It is also observed that increasing temperature, structural damping and central angle of curved microbeam decreases the frequency of the system.

Nonlocal bending, vibration and buckling of one-dimensional hexagonal quasicrystal layered nanoplates with imperfect interfaces

  • Haotian Wang;Junhong Guo
    • Structural Engineering and Mechanics
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    • v.89 no.6
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    • pp.557-570
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    • 2024
  • Due to interfacial ageing, chemical action and interfacial damage, the interface debonding may appear in the interfaces of composite laminates. Particularly, the laminates display a side-dependent effect at small scale. In this work, a three-dimensional (3D) and anisotropic thick nanoplate model is proposed to investigate the effects of imperfect interface and nonlocal parameter on the bending deformation, vibrational response and buckling stability of one-dimensional (1D) hexagonal quasicrystal (QC) layered nanoplates. By combining the linear spring model with the transferring matrix method, exact solutions of phonon and phason displacements, phonon and phason stresses of bending deformation, the natural frequencies of vibration and the critical buckling loads of 1D hexagonal QC layered nanoplates are derived with imperfect interfaces and nonlocal effects. Numerical examples are illustrated to demonstrate the effects of the imperfect interface parameter, aspect ratio, thickness, nonlocal parameter, and stacking sequence on the bending deformation, the vibrational response and the critical buckling load of 1D hexagonal QC layered nanoplate. The results indicate that both the interface debonding and nonlocal effect can reduce the stiffness and stability of layered nanoplates. Increasing thickness of QC coatings can enhance the stability of sandwich nanoplates with the perfect interfaces, while it can reduce first and then enhance the stability of sandwich nanoplates with the imperfect interfaces. The biaxial compression easily results in an instability of the QC layered nanoplates compared to uniaxial compression. QC material is suitable for surface layers in layered structures. The mechanical behavior of QC layered nanoplates can be optimized by imposing imperfect interfaces and controlling the stacking sequence artificially. The present solutions are helpful for the various numerical methods, thin nanoplate theories and the optimal design of QC nano-composites in engineering practice with interfacial debonding.

Design and Characteristic Analysis of Vaccum Pump Using Moving Magnet type Linear Oscillatory Actuator (가동 영구자석형 리니어 진동 액츄에이터를 이용한 진공 펌프의 설계 및 특성해석)

  • Cho, Sung-Ho;Lee, Dong-Yup;Kim, Duk-Hyun;Lee, Ho-Kil;Kim, Gyu-Tak
    • Proceedings of the KIEE Conference
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    • 2002.07b
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    • pp.811-813
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    • 2002
  • This paper deals with the design of vaccum pump using moving magnet type linear oscillaory actuator based on the design procedure and the characteristic analysis. To improve the starting characteristic, the optimum spring constant is detected and redesigned. The parameter was calculated by Finite Element Method(FEM). In order to dynamic characteristic analysis, Time difference method with voltage and kinetic equation is used. The propritey of the improved model is verified through the experimental.

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Seismic Response Analysis of Bridges Using Equivalent Linear Soil/Foundation Spring Model (등가선형 지반스프링모델을 사용한 교량의 지진응답해석)

  • 박형기
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.10a
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    • pp.372-380
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    • 2000
  • Seismic forces for member design of bridges may be determined by modifying elastic member forces induced by design earthquakes using appropriate response modification factors according to national design code of bridges. Modeling of soil/foundation system is one of the critical parameter in the process of elastic seismic analysis of bridge system which greatly affects on the analysis results. In this paper, a simplified modelling procedure of soil/foundation system which gives practically reasonable results is presented and its applicability has been validated through example bridge. Based on the results, it has been shown that the procedure is acceptable in modelling soil/foundation system for practical seismic analysis of bridges.

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Characteristics of Surface High Ozone Concentration on Pusan Coastal area, Korea (부산 해안지역의 고농도 오존 발생 특성에 관한 연구)

  • 전병일
    • Journal of Environmental Science International
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    • v.9 no.4
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    • pp.295-302
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    • 2000
  • This study was conducted to investigate the characteristics of surface ozone concentration and occurrence of high ozone concentration using hourly ozone, nitrogen dioxide and meteorological data for 1997~1998 in Pusan coastal area. Monthly mean ozone concentration was the highest at Dongsamdong in Spring(35.4ppb), at Kwangbokdong in Fall(25.1ppb) and the lowest Dongsamdong(22.2ppb) and Kwangbokdong(16.0ppb) in Winter. Relative standard deviation indicating clearness of observation site was 0.42 at Dongsamdong and 0.49 at Kwangbokdong that is similar to urban area. The diurnal variation of ozone concentration of Dongsamdong and Kwangbokdong showed maximum at 1500~1600LST and minimum 0700~0800LST that typical pattern of ozone concentration. In ozone episode period(Sept. 10~15, 1998), diurnal change of ozone concentration was very high, and ozone concentration was related to meteorological parameters such as temperature, relative humidity, wind speed, cloud amount and radiation on a horizontal surface. During the episode days peak ozone concentrations are much higher than the normal values, wind speeds are always lower, and solar radiation is high with the exception of the September episode.

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On the Normal Mode Dynamics of a Pendulum Absorber (정규모우드 방법을 활용한 진자형 흡진기의 비선형 동역학에 관한 연구)

  • 심재구;박철희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1996.04a
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    • pp.177-183
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    • 1996
  • By utilizing the concept of normal modes, nonlinear dynamics is studied on pendulum dynamic absorber. When the spring mode loses the stability in undamped free system, a dynamic two-well potential is formed in Poincare map. A procedure is formulated to compute the forced responses associated with bifurcating mode and predict double saddle-loop phenomenon. It is found that quasiperiodic motion and stable periodic motion coexist in some parameter ranges, and only periodic motions or rotation of pendulum with chaotic fluctuation are observed in other ranges.

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Finite Element Model to Simulate Crack Propagation Using Interface Elements and Its Verification in Tensile Test

  • Chu, Shi;Yu, Luo;Zhen, Chen
    • Journal of Advanced Research in Ocean Engineering
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    • v.1 no.1
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    • pp.36-43
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    • 2015
  • Since the crack generation and its propagation caused by welding defects is one of the main hull damage patterns, the simulation of crack propagation process has an important significance for ship safety. Based on interface element method, a finite element model to simulate crack propagation is studied in the paper. A Lennard-Jones type potential function is employed to define potential energy of the interface element. Tensile tests of steel flat plates with initial central crack are carried out. Surface energy density and spring critical stress that are suitable for the simulation of crack propagation are determined by comparing numerical calculation and tests results. Based on a large number of simulation results, the curve of simulation correction parameter plotted against the crack length is calculated.

구속 받는 유연 매니퓨레이터의 병렬 위치/힘 제어

  • Kim, Jin-Soo;Uchiyama, Masaru
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.3
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    • pp.76-82
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    • 2000
  • 본 논문에서는 환경에 구속 받는 유연 매니퓨레이터의 힘/위치에 대하여 논하고자 한다. 일반적으로, 유연 매니퓨레이터의 모델링 방법은 분포 정수 모델과 집중 정수 모델로 분류할 수 있다. 전자인 분포 정수 모델을 이용해서는 평면 1 링크, 2 링크를 대상으로 한 위치/힘 제어는 가능하나, 운동 방정식의 복잡성으로 인하여 실시간에서 다 링크 다 관절 유연 매니퓨레이터의 힘/위치를 제어하기는 어렵게 여겨져 왔다. 본 논문에서는 집중 정수 모델링 방법인 집중 스프링 질량 모델(Lumped Spring Mass Model)을 이용하여 환경에 구속받는 유연 매니퓨레이터의 운동 방정식을 산출했다 이 모델을 실험기인 유연 매니퓨레이터 ADAM(Aerospace Dual Arm Manipulators)에 적용하여 실시간 위치/힘 제어 실험을 행하였으며, MATLAB를 이용하여 해석했다. 또한, ADAMS$^{TM}$ FEM를 이용하여 분포 정수 모델을 도출하여, 해석하였으며, 이 결과와 집중 정수 모델을 이용한 MATLAB 해석의 결과, 그리고 실험 결과를 비교 분석하여 본 논문에서 제안한 구속받는 유연 매니퓨레이터의 집중 정수 모델 타당성을 입증시켰다.

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Response Characteristics of a Lumped Parameter Impact System under Random Excitation (집중질량 충격시스템의 불규칙가진에 대한 응답특성)

  • 이창희
    • Journal of KSNVE
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    • v.9 no.4
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    • pp.778-784
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    • 1999
  • A method for obtaining the motion of an impact system whose primary and secondary system are composed of lumped masses, springs and dampers, and all the contacts are made through spring and damping elements is presented. The frequency response functions derived from the equations of motion and the impulse response functions obtained from the inverse Fourier transform of the derived frequency response functions are used for the calculation of the system responses. The procedure developed for the calculation of displacements and force time-histories was based on the convolution integrals of impulse response functions and forces applied to the systems. Time histories of displacements and contact forces are obtained for the case where a random excitation is applied to a point in the system. Impact statistics such as contact forces and the time between impacts calculated from those time histories is presented.

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