• Title/Summary/Keyword: Dynamic geometry

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Chaotic Behavior of a Double Pendulum Subjected to Follower Force (종동력을 받는 이중진자의 혼돈운동 연구)

  • 장안배;이재영
    • Journal of KSNVE
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    • v.7 no.3
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    • pp.439-447
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    • 1997
  • In this study, the dynamic instabilities of a nonlinear elastic system subjected to follower forces are investigated. The two-degree-of-freedom double pendulum model with nonlinear geometry, cubic spring, and linear viscous damping is used for the study. The constant, the initial impact forces acting at the end of the model are considered. The chaotic nature of the system is identified using the standard methods, such as time histories, power density spectrum, and Poincare maps. The responses are chaotic and unpredictable due to the sensitivity to initial conditions. The sensitivities to parameters, such as geometric initial imperfections, magnitude of follower force, direction control constant, and viscous damping, etc., are analysed. Dynamic buckling loads are computed for various parameters, where the loads are changed drastically for the small change of parameters.

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Modeling and Dynamic Characteristics Analysis of a Continuously Variable Damper with Electro-Hydraulic Pressure Control Valve

  • Moon, Do-Hong;Chul, Sohn-Hyun;Shik, Hong-Keum
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.174.5-174
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    • 2001
  • In this paper, mathematical modeling and dynamic characteristics analysis of a continuously variable damper used for semi-active suspension systems are investigated. After analyzing the geometry of a typical continuously variable damper, models for various components including piston, orifices, spring, and valves are proposed and the flow equations during expansion and compression strokes are derived. To verify the mathematical models developed, the dynamic characteristics of the models are simulated using MATLAB/SIMULINK and are compared with experimental results. It was confirmed that the developed models represent well the actual damper and can be used for control system design.

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Effects of Annular Seals on the Stability of Centrifugal Pump Rotors (遠心펌프 回轉軸系의 安定性에 미치는 시일의 影響)

  • 양보석;오세규;암곤탁삼
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.1
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    • pp.56-61
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    • 1986
  • Rotor dynamic response of pumps is greatly influenced by the nature of the hydraulic forces arising from wearing seal, balance drum and impeller, etc.. Therefore, rotor dynamic analysis should be conducted during the design stage in order to aleviate some of the vibrational problems which might occur during the operational life of pumps. Previsousely, the authors have proposed the method to obtain the dynamic seal coefficients of the annular plain seal, convergent and divergent tapered seals, parallel grooved seal, spiral grooved seal and annular stepped seal. On the basis of these results, this paper presents the investigated effect of seals on the stability behavior of a centrifugal pump. The results show the effects of seal geometry, pressure difference, clearance, length/diameter ratio, on stability behavior.

Dynamic and Static End-milling Force Analysis According to Workpiece Geometry (가공물 형상에 따른 동적 및 정적 절삭력 성분 분석법)

  • Yang, Jae-Yong;Yoon, Moon-Chul;Kim, Byung-Tak
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.11 no.4
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    • pp.13-19
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    • 2012
  • There are many dynamic properties in measured end-milling force. So, it is difficult to predict the real static property of end-milling force. Also the behavior of end-milling force is very complex to predict with the measured one. To extract the static property from measured force, it must be filtered and its problem is closely related to a de-noising one. Also this paper presents alternative de-noising method of end-milling force using wavelet filter bank, based on the wavelet transform and its inverse one. In this paper, by comparing the measured force and its wavelet filtered one, the fundamental end-milling force property after wavelet transform is well reviewed and analyzed. This result of wavelet filtering with filter bank shows the static force of end-milling which has severe dynamic properties occurring in entry and exit state of edge emersion into the workpiece.

Construction of Elementary Functions through Proportions on the Dynamic Environment (역동적 기하 환경에서 비례를 이용한 중학교 함수의 작도)

  • Lew, Hee-Chan;Yoon, O-Kyo
    • School Mathematics
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    • v.13 no.1
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    • pp.19-36
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    • 2011
  • This study provides middle school students with an opportunity to construct elementary functions with dynamic geometry based on the proportion between lengths of triangle to activate students' intuition in handling elementary algebraic functions and their geometric properties. In addition, this study emphasizes the process of justification about the choice of students' construction method to improve students' deductive reasoning ability. As a result of the pilot lesson study, this paper shows the characteristics of the students' construction process of elementary functions and the roles the teacher plays in the process.

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Yield mechanisms of stepped cantilevers subjected to a dynamically applied constant tip force

  • Wang, B.
    • Structural Engineering and Mechanics
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    • v.3 no.5
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    • pp.445-462
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    • 1995
  • Previous studies of a stepped cantilever with two straight segments under a suddenly applied constant force (a step load) applied at its tip have shown that the validity of deformation mechanisms is governed by certain geometrical restrictions. Single and double-hinge mechanisms have been proposed and it is shown in this paper that for a stepped cantilever with a stronger tip segment, i.e. $M_{0.1}$ > $M_{0.2}$, where $M_{0.1}$ and $M_{0.2}$ are the dynamic fully plastic bending moments of the tip and root segments, respectively, the family of possible yield mechanisms is expanded by introducing new double and triple-hinge mechanisms. With the aid of these mechanisms, it is shown that all initial deformations can be derived for a stepped cantilever regardless of its geometry and the magnitude of the dynamic force applied.

Design and Dynamic Analysis of Permanent Magnet Linear Synchronous Machine for Servo Application (서보 시스템 적용을 위한 직선형 영구자석 동기 전동기의 설계 및 동특성)

  • Jang, Seok-Myeong;You, Dae-Joon;Jang, Won-Bum;Park, Ji-Hun
    • Proceedings of the KIEE Conference
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    • 2005.10c
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    • pp.135-137
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    • 2005
  • In servo system demanding precision dynamic characteristics, application of the Permanent Magnet Linear Synchronous Machines (PMLSM) has advantage of analysis convenience by simple geometry and thrust ripple reduction from the sinusoidal back electromotive force and excited stator. Therefore, this paper presents design of surface-mounted PMLSM with slotless iron cored stator according to coil turns to satisfy the rate thrust. Also, from dynamic analysis for servo application of manufactured motor with heavy mass, we offer accurate range of the DC link voltage and acceleration in rate speed. This is applied to speed reference profile considering system characteristics in total length of moving position.

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On the dynamics of hockey stick after contacting with the ball

  • Yue Jia
    • Advances in concrete construction
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    • v.15 no.4
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    • pp.287-301
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    • 2023
  • Hockey games attracts many fans around the world. This game requires a specific type of ball and a stick for controlling the motion and trace of the ball. This control of motion involves hitting the ball which is a direct intensive dynamic loading. The impact load transferred directly to the hand of the player and in the professional player may cause long term medical problems. Therefore, dynamic motion of the stick should be understood. In the current study, we analyze the dynamic motion of a hockey stick under impact loading from a hockey ball. In doing so, the stick geometry is simplified as a beam structure and quasi-2D relations of displacement is applied along with classical linear elasticity theory for isotropic materials. The governing equations and natural boundary condition are extracted using Hamilton's principle. The final equations in terms of displacement components are solved using Galerkin's numerical method. The results are presented using indentation and contact force values for variations of different parameters.

Performance Analysis of Cellular Networks with D2D communication Based on Queuing Theory Model

  • Xin, Jianfang;Zhu, Qi;Liang, Guangjun;Zhang, Tiaojiao;Zhao, Su
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.6
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    • pp.2450-2469
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    • 2018
  • In this paper, we develop a spatiotemporal model to analysis of cellular user in underlay D2D communication by using stochastic geometry and queuing theory. Firstly, by exploring stochastic geometry to model the user locations, we derive the probability that the SINR of cellular user in a predefined interval, which constrains the corresponding transmission rate of cellular user. Secondly, in contrast to the previous studies with full traffic models, we employ queueing theory to evaluate the performance parameters of dynamic traffic model and formulate the cellular user transmission mechanism as a M/G/1 queuing model. In the derivation, Embedded Markov chain is introduced to depict the stationary distribution of cellular user queue status. Thirdly, the expressions of performance metrics in terms of mean queue length, mean throughput, mean delay and mean dropping probability are obtained, respectively. Simulation results show the validity and rationality of the theoretical analysis under different channel conditions.

Analysis on the Relationships Between the Valve Plate Geometry and the Housing Vibration of a Bent-Axis Type Hydraulic Piston Pump (사축식 유압 피스톤 펌프의 밸브 플레이트 형상과 하우징 진동간 상관관계에 대한 해석)

  • Kim Sung-Hun;Hong Yeh-Sun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.1 s.244
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    • pp.52-59
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    • 2006
  • The vibration of hydraulic piston pumps is induced by the periodically changing cylinder chamber pressure whose waveform is significantly influenced by valve plate geometry. In this study, the force input to the housing of a bent-axis type hydraulic piston pump was computed by deriving the dynamic equations of its piston and cylinder barrel. The vibration intensity of the pump was represented by the acceleration amplitude of its housing. In order to comparatively evaluate the influence of valve plate geometry on the vibration of pump housing, two different types of valve plate were tested. The computed results showed good agreement with the experimental data, indicating that the vibration acceleration of pump housing is rather dependent on the variation amplitude of balance coefficient than the changing slope or overshoot of cylinder chamber pressure. It was also confirmed that the design effect of valve plates could be directly examined out by monitoring the vibration acceleration of pump housing.