• Title/Summary/Keyword: Two-Degrees-of-Freedom

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A substructure formulation for the earthquake -induced nonlinear structural pounding problem

  • Shi, Jianye;Bamer, Franz;Markert, Bernd
    • Earthquakes and Structures
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    • v.17 no.1
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    • pp.101-113
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    • 2019
  • Earthquake-induced pounding is one of the major reasons for structural failure in earthquake prone cities. An accurate description of the pounding phenomenon of two buildings requires the consideration of systems with a large number of degrees of freedom including adequate contact impact formulations. In this paper, firstly, a node to surface formulation for the realization of state-of-the-art pounding models for structural beam elements is presented. Secondly, a hierarchical substructure technique is introduced, which is adapted to the structural pounding problem. The numerical accuracy and efficiency of the method, especially for the contact forces, are verified on an academic example, applying four different impact elements. Error estimations are carried out and compared with the classical modal truncation method. It is demonstrated that the hierarchical substructure method is indeed able to significantly speed up the numeric integration procedure by preserving a required level of accuracy.

Development of a Omni-directional Self-Balancing Robot Wheelchair (전방향 셀프-밸런싱 로봇휠체어 개발)

  • Yu, Jaerim;Park, Yunsu;Kim, Sangtae;Kwon, SangJoo
    • The Journal of Korea Robotics Society
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    • v.8 no.4
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    • pp.229-237
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    • 2013
  • In this paper, we report a self-balancing robot wheelchair which has the capability of keeping upright posture regardless of the terrain inclination in terms of the three dimensional balancing motion. It has the mobility of five degrees of freedom, where pitching, yawing, and forward motions are generated by the two-wheeled inverted pendulum mechanism and the rolling and vertical motions are implemented by the movement of the tilting mechanism. Several design considerations are suggested for the sliding type vehicle body, wheel actuator module, tilting actuator module, power and control system, and the riding module.

Measurement on range of virtual hip and lower limb joints for young male students (한국 대학생의 가상 hip 관절과 하지관절의 동작범위 측정)

  • 기도형
    • Journal of the Ergonomics Society of Korea
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    • v.15 no.2
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    • pp.125-135
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    • 1996
  • The purpose of this research is to measure range of virtual hip joint and lower limb joints motion such as the hip, knee and ankle joints for 47 young male students. The results of ANOVA revealed that anthropometric dimensions including weight and stature did not show any significant effects on the range of virtual hip joint and lower limb joints motion and the range of motion with two degrees of freedom at the shoulder, virtual hip and hip joints. Anthropometric dimensions such as age, weight, statuire, arm length, shoulder height and leg length were found to be lowly correlated with the range of virtual hip joint and lower limb joints motion. It is expected that the data on the range of joint motion suggested in this study can be used as a valuable input data when designing workplace, predicting human posture and reach volume, etc.

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Effects of modelling on the earthquake response of asymmetrical multistory buildings

  • Thambiratnam, David P.
    • Structural Engineering and Mechanics
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    • v.2 no.2
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    • pp.211-225
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    • 1994
  • Responses of asymmetrical multistorey buildings to earthquakes are obtained by quasi-static code approach and real time dynamic analysis, using two different structural models. In the first model, all vertical members are assumed to be restrained at the slab levels and hence their end rotations, about horizontal axes, are taken as zero. In the second model this restriction is removed and the rotation is assumed to be proportional to the lateral stiffness of the member. A simple microcomputer based procedure is used in the analyses, by both models. Numerical examples are presented where results obtained from both the models are given. Effects of modelling on the response of three buildings, each with a different type and degree of asymmetry, are studied. Results for deflections and shear forces are presented and the effects of the type of model on the response are discussed.

Stochastic space vibration analysis of a train-bridge coupling system

  • Li, Xiaozhen;Zhu, Yan
    • Interaction and multiscale mechanics
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    • v.3 no.4
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    • pp.333-342
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    • 2010
  • The Pseudo-Excitation Method (PEM) is applied to study the stochastic space vibration responses of train-bridge coupling system. Each vehicle is modeled as a four-wheel mass-spring-damper system with two layers of suspension system possessing 15 degrees-of- freedom. The bridge is modeled as a spatial beam element, and the track irregularity is assumed to be a uniform random process. The motion equations of the vehicle system are established based on the d'Alembertian principle, and the motion equations of the bridge system are established based on the Hamilton variational principle. Separate iteration is applied in the solution of equations. Comparisons with the Monte Carlo simulations show the effectiveness and satisfactory accuracy of the proposed method. The PSD of the 3-span simply-supported girder bridge responses, vehicle responses and wheel/rail forces are obtained. Based on the $3{\sigma}$ rule for Gaussian stochastic processes, the maximum responses of the coupling system are suggested.

Surface Design Using B-spline Skinning of Cross-Sectional Curves under Volume Constraint (체적등의 구속조건하에서 단면곡선들로부터 B-spline Skinning을 사용한 곡면 디자인)

  • 김형철
    • Korean Journal of Computational Design and Engineering
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    • v.3 no.2
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    • pp.87-102
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    • 1998
  • Given a sequence of cross-sectional curves, the skinning method generates a freeform surface that interpolates the given curves in that sequence. This thesis presents a construction method of a B-spline skinning surface that is fair and satisfies volume constraints. The fairness metric is based on the parametric energy functional of a surface. The degrees of freedom in surface control are closely related lo control points in the skinning direction. The algorithm fur finding a skinning surface consists of two step. In the first step, an initial fair surface is generated without volume constraints and one coordinate of each control point is fixed. In the second step, a final surface that meets all constraints is constucted by rearranging the other coordinates of each control point that defines the initial surface A variational Lagrange optimization method produces a system of nonlinear equations, which can be solved numerically. Moreover, the reparametrization of given sectional curves is important for the construction of a reasonable skinning surface. This thesis also presents an intuitive metric for reparametrization and gives some examples that are optimized with respect to that metric.

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Control Gain Tuning of the 3-DOF Micro Parallel Mechanism Platform Via Design of Experiment Methodology (실험계획법을 이용한 3 자유도 마이크로 병렬기구 플랫폼의 제어 이득 선정)

  • Seo, Tae-Won
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.11
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    • pp.1207-1213
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    • 2012
  • Typically commercial controllers do not give data of the controller gains. Therefore, it is very hard to determine the optimal controller gain even though the dynamic model is derived. In this case, design of experiment (DOE) methodology can be a powerful tool for gain tuning. In this research, gain tuning process is proposed based on the DOE. Micro parallel mechanism platform with 3 degrees-of-freedom (DOF) is used for the experiments. Controller gains are measured indirectly from the voltages of adjustable resistors. The controller gains of three actuators are optimized by two or three steps, respectively. The correlations of the controller gains are also analyzed. The process and methodology can be adopted in gain tuning of other mechanical systems.

Design and Tracking Control of 4-DOF Motion Platform for Bicycle Simulator (자전거 시뮬레이터용 4자유도 운동판의 설계 및 추적 제어)

  • 성지원;신재철;이종원
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.235-240
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    • 2001
  • A four degrees of freedom (dof) motion platform for bicycle simulator is developed. The motion platform, capable of the vertical linear and three angular motions, is designed based on analysis of the typical motion characteristics revealed by the existing six dof bicycle simulator. The platform essentially consists of two parts: the three dof parallel manipulator, consisting of a moving platform, a fixed base and three actuators, and the turntable to generate the yaw motion. The nonlinear kinematics and dynamics of the three dof parallel manipulator with multiple closed loop chains are analyzed for tracking control of the motion platform. The tracking performances of the three control schemes are experimentally compared: the computed torque method (CTM), the sliding mode control (SMC) and the PD control. The CTM and SMC, incorporated with the system dynamics model, are found to be equally better in performance than the PD controller, irrespective of the presence of external disturbance.

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A Fuzzy PID Control of Nonholonomic Mobile Robot (Nonholonomic 모바일 로봇의 퍼지 PID제어)

  • Kim, Do-Won;Yang, Hai-Won;Jung, Won-Chul;Hwang, Yong-Ho;Kim, Hong-Phil
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2756-2759
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    • 2000
  • In this paper. A PID motion controller based on the fuzzy concept is discussed for nonholonomic mobile robot. The difficulties in controlling such a Mobile robot vehicle lies in the fact that it usually has only two degrees of freedom for motion control in a tracking mode. It makes the control of speed and steering possible to decompose the error between the reference posture and the current posture. The Gyro compass is used to measure the position of robot. The proposed nonholonomic mobile robot is shown to follow the reference trajectory and compensate the dynamics. Simulation results are provided to validate the proposed controller. Experiments have been used to verify the effectiveness and robustness of the motion controller.

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Workspace Optimization and Kinematic Performance Evaluation of 2-DOF Parallel Mechanisms

  • Nam Yun-Joo;Park Myeong-Kwan
    • Journal of Mechanical Science and Technology
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    • v.20 no.10
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    • pp.1614-1625
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    • 2006
  • This paper presents the kinematics and workspace optimization of the two different 2-DOF (Degrees-of-Freedom) planar parallel mechanisms: one (called 2-RPR mechanism) with translational actuators and the other (called 2-RRR mechanism) with rotational ones. First of all, the inverse kinematics and Jacobian matrix for each mechanism are derived analytically. Then, the workspace including the output-space and the joint-space is systematically analyzed in order to determine the geometric parameters and the operating range of the actuators. Finally, the kinematic optimization of the mechanisms is performed in consideration of their dexterity and rigidity. It is expected that the optimization results can be effectively used as a basic material for the applications of the presented mechanisms to more industrial fields.