• Title/Summary/Keyword: Zero stiffness

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Kirigami-inspired Composite Metastructure for Low-frequency Vibration Reduction (저주파 진동 저감을 위한 키리가미 구조 영감의 복합재료 메타구조)

  • Hyunsoo Hong;Samuel Kim;Wonvin Kim;Wonki Kim;Jae-moon Jeong;Seong Su Kim
    • Composites Research
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    • v.37 no.4
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    • pp.291-295
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    • 2024
  • Vibration occurs not only in daily life but also in various fields such as semiconductors, aerospace, vehicles, and ships. Unexpected vibrations can cause fatigue damage to structures and degrade the performance of the entire system, having very detrimental effects. Particularly, low-frequency vibrations can be very harmful to precision equipment, human bodies, and buildings. Therefore, mitigating low-frequency vibrations is essential for effective vibration reduction. In this study, a kirigami-inspired composite meta-structure is proposed for low-frequency vibration reduction. Inspired by kirigami, the meta-structure is designed to transform from a three-dimensional to a two-dimensional form upon compression, leveraging structural advantages. Additionally, it is designed to have quasizero stiffness characteristics, providing excellent vibration reduction performance even at low frequencies. The kirigami composite meta-structure was fabricated using carbon fiber reinforced TPU through 3D printing. Its structural and vibrational characteristics were evaluated and analyzed through compression and vibration tests.

Stability of Haptic System with consideration for Sample-and-Hold Methods and Properties of Haptic Device (샘플-홀드 방식과 햅틱 장치 물성치에 따른 햅틱 시스템의 안정성 분석)

  • Lee, Kyungno
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.11
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    • pp.5338-5343
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    • 2013
  • In a haptic system, a virtual wall is modeled as a virtual spring. The larger the stiffness of the virtual spring is, the more improved the reality of the virtual wall is, but the more unstable the haptic system becomes. This paper shows how to increase the stiffness of the virtual spring while the stability of the haptic system is guaranteed and shows the effects of a mass (Md) and a damper (Bd) of a haptic device on the stability when first-order hold method is applied and a virtual wall is modeled as a virtual spring (Kw). The simulation results show the boundary of the virtual spring is proportional to the square root of the mass (Md) and the damper (Bd) while maintaining the stability. The relation among the virtual spring (Kw), the mass (Md) and the damper (Bd) of the haptic device, and sampling time (T) is inferred as $K_w{\leq}{1.611M_d}^{0.50}{B_d}^{0.50}T^{-1.51}$, by using the simulation results. The maximum available stiffness of the virtual spring in first-order hold method is larger than in zero-order hold method. So the reality of the virtual wall can be improved.

A Study on the Bandwidth of Gear Reduction Servo System according to Backlash and Motor Supplied Voltage (백래시 및 모터 입력전압에 따른 기어감속 서보 시스템 대역폭에 관한 연구)

  • Baek, Joo-Hyun;Hong, Sung-Min;Yang, Tae-Suk;Kim, Soo-Hyun;Kwak, Yoon-Keun
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.6
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    • pp.119-127
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    • 2002
  • The paper presents the effect of the backlash magnitude and the supplied voltage of motor on the gear reduction servo system. The bandwidth of the system depends heavily on the supplied voltage of motor as well as the backlash magnitude. Specially, the bandwidth of the system increases as the supplied voltage of motor increases. 1t is shown that the system has the bandwidth of zero backlash in case of motor supplied voltage is infinite. It is also found that the magnitude of the supplied voltage of motor is very important in case of the analysis of the system bandwidth.

A Study on Remaining Efficiency of Thermal Straightening after Block Lifting

  • Ha, Yunsok;Yi, Myungsu
    • Journal of Advanced Research in Ocean Engineering
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    • v.1 no.3
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    • pp.148-156
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    • 2015
  • Deck plates of ships or offshore structures would make out-of-plane distortion for their thin thickness. These distortions are usually straightened by thermal straightening such as flame heating method. After thermal straightening, the blocks are lifted and moved by cranes to assemble it at dry-dock stage. After this lifting process, out-of-plane deformation again happens frequently. And then, they continuously cause quality and accuracy problems in the final dry-dock process. So, it takes more time for repair and correction working. According to preceding research, the lifting process by cranes would offset the effect on thermal straightening. The target of this study is to develop a methodology analyzing the remaining efficiency of thermal straightening after block lifting. The development was based on the assumption of yield state at straightening region. Therefore the remaining efficiency was obtained by different stiffness slope while lifting & relieving. The efficiency formula was designed using inherent strain, and we made a table of zero-efficiency by cooling speed and class rule's steels. As a result, if the stress orthogonal to straightened line is calculated during lifting analysis by FEA, the efficiency can be obtained linearly to the values in the table. Finally, even optimized carling position can be designed by considering the regional data from series project and welding region on deck.

Development of Laminar Box Manufacturing Technique for Earthquake Engineering (내진 연구를 위한 전단상자 제작기술 개발)

  • 이용재
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.04a
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    • pp.100-107
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    • 2001
  • One major problem in the model testing is the boundary effect and size effect caused by the limit in the size of the container. To overcome this problem, various types of laminar boxes are gradually manufactured and used in the shaking table test, which ideally has zero stiffness to horizontal shear. In this study, a small-scale laminar box is manufactured, which is composed of 6 thin aluminum rectangular hollow plates, and its inside dimensions are 300 mm length by 200 mm width by 350 mm depth. Shaking table tests are performed both with the laminar box and the rigid box under the same conditions, where displacements and accelerations are measured at various points of the box and model ground. As result of analyzing the measured data, during the propagation of input seismic motion from the bottom to the ground surface, the relative displacement of the model ground and the amplification of acceleration is hardly amplified in the rigid box. Because of the effect of stress waves reflecting from the rigid wall, the acceleration is slightly decreased at the edge in the rigid box. The laminar box, manufactured in this study, has a problem in that the soil behavior at the edge of ground surface is affected by the inertia force of the top layer due to its excessive self-weight.

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Algorithm of solving the problem of small elastoplastic deformation of fiber composites by FEM

  • Polatov, Askhad M.;Khaldjigitov, Abduvali A.;Ikramov, Akhmat M.
    • Advances in Computational Design
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    • v.5 no.3
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    • pp.305-321
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    • 2020
  • In this paper is presented the solution method for three-dimensional problem of transversely isotropic body's elastoplastic deformation by the finite element method (FEM). The process of problem solution consists of: determining the effective parameters of a transversely isotropic medium; construction of the finite element mesh of the body configuration, including the determination of the local minimum value of the tape width of non-zero coefficients of equation systems by using of front method; constructing of the stiffness matrix coefficients and load vector node components of the equation for an individual finite element's state according to the theory of small elastoplastic deformations for a transversely isotropic medium; the formation of a resolving symmetric-tape system of equations by summing of all state equations coefficients summing of all finite elements; solution of the system of symmetric-tape equations systems by means of the square root method; calculation of the body's elastoplastic stress-strain state by performing the iterative process of the initial stress method. For each problem solution stage, effective computational algorithms have been developed that reduce computational operations number by modifying existing solution methods and taking into account the matrix coefficients structure. As an example it is given, the problem solution of fibrous composite straining in the form of a rectangle with a system of circular holes.

A Simulation for the Natural Frequencies of Curved Pipes Containing Fluid Flow with Various Elbow Angles (시뮬레이션에 의한 유체 유동 파이프 계의 곡관부의 각도 변화에 따른 고유진동수 고찰)

  • 최명진;장승호
    • Journal of the Korea Society for Simulation
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    • v.10 no.1
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    • pp.63-65
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    • 2001
  • To investigate the natural frequencies of curved piping systems with various elbow angles conveying flow fluid, a simulation is performed considering Initial tension due to the inside fluid. The system is analyzed by finite element method utilizing straight beam element. Elbow part is meshed using 4 elements, and the initial tension is considered by inserting equivalent terms into the stiffness matrix. Without considering the initial tension, the system becomes unstable, that is, the fundamental natural frequency approaches to zero value fast, as the flow velocity reaches critical value. With the initial tension terms, the system becomes stable where there is no abrupt decrease of the fundamental natural frequency. The change rate of the natural frequency with respect to the flow velocity reduces. As elbow angle increases, the system becomes stiffer, then around 150 degrees of the elbow angle the natural frequency has the largest value, the value decreases after the angle of the largest natural frequency. When angle is between 170 degrees and 179 degrees, the natural frequency is very sensitive. This means that small change of angle results in great change of natural frequency, which is expected to be utilized in the control of the natural frequency of the piping system conveying flow fluid.

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Identification of Dynamic Joint Characteristics Using a Multi-domain FRF- based Substructuring Method (전달함수 다중합성법을 이용한 진동시스템의 결합부 특성값 동정)

  • 이두호;황우석
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.635-644
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    • 2004
  • A method of identifying structural parameters such as stiffness and damping coefficients at interfacial points of vibro-acoustic systems is suggested using an optimization technique. To identify the parameters using a numerical optimization algorithm, cost functions are defined. The cost function should be zero at the correct parameter values. To minimize the cost functions using an optimization technique, a design sensitivity analysis procedure is developed in the framework of the multi-domain FRF-based substructuring method. As a numerical example, a ladder-like structure problem is introduced. With known parameter values and different initial guesses of the parameters, convergence characteristics to the exact value are compared f3r the three cost functions. Investigating the contours of the cost functions, we find the first cost function has the largest convergent region to the correct value. As another practical problem, stiffnesses of engine mounts and bushings in a passenger car are identified. The numerical examples show that the proposed method is efficient and accurate far realistic problems.

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Identification of Dynamic Joint Characteristics Using a Multi-domain FRF-based Substructuring Method (전달함수 다중합성법을 이용한 진동시스템의 결합부 특성값 추정)

  • 황우석;이두호
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.6
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    • pp.536-545
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    • 2004
  • A method of identifying structural parameters such as stiffness and damping coefficients at interfacial points of vibro-acoustic systems is suggested using an optimization technique. To identify the parameters using a numerical optimization algorithm, cost functions are defined. The cost function should be zero at the correct parameter values. To minimize the cost functions using an optimization technique, a design sensitivity analysis procedure is developed in the framework of the multi-domain FRF-based substructuring method. As a numerical example, a ladder-like structure problem is introduced. With known parameter values and different initial guesses of the parameters, convergence characteristics to the exact value are compared for the three cost functions. Investigating the contours of the cost functions, we find the first cost function has the largest convergent region to the correct value. As another practical problem, the stiffnesses of engine mounts and bushings in a passenger car are identified. The numerical examples show that the proposed method is efficient and accurate for realistic problems.

Natural Frequencies of Laminated Composite Plates Attached Point Mass Under an Uniform Axial-Loading (등분포 축하중을 받고 첨가질량이 재하된 적충복합판의 고유진동수)

  • Park, Jae-Sean;Hong, Chang-Woo;Lee, Jung-Ho;Lee, Joo-Hyung
    • Journal of Industrial Technology
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    • v.19
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    • pp.235-243
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    • 1999
  • Vibration analysis for some of simple supported antisymmetric composite laminated plate loaded uniformly distributed axial force and attached mass was carried out. Because it is complicated to analysis this type of plate by theory of antisymmetric laminate, possibility for application of theory of special orthotropic laminate was studied, and natural frequency of laminated plate attached mass was calculated. Stiffness $B_{16}$, $B_{26}$, $D_{16}$, $D_{26}$ for this type of antisymmetric laminated plate converge on zero as the number of ply increases and it is possible to use classical theory by reason that considered plate has quasi-homogeneity without relevance to variation of angle. Difference between results by theory of antisymmetric and special orthotropic laminate is 0.36~1.96%, therefore it is convenient to analyze this by use of theory of special orthotropic laminate. When composite laminated plate with attached mass is analyzed range that was able to neglect self-weight of plate was proposed.

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