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

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The use of the strain approach to develop a new consistent triangular thin flat shell finite element with drilling rotation

  • Guenfoud, Hamza;Himeur, Mohamed;Ziou, Hassina;Guenfoud, Mohamed
    • Structural Engineering and Mechanics
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    • v.68 no.4
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    • pp.385-398
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    • 2018
  • In the present paper, we offer a new flat shell finite element. It is the result of the combination of a membrane element and a bending element, both based on the strain-based formulation. It is known that $C^{\circ}$ plane membrane elements provide poor deflection and stress for problems where bending is dominant. In addition, they encounter continuity and compliance problems when they connect to C1 class plate elements. The reach of the present work is to surmount these problems when a membrane element is coupled with a thin plate element in order to construct a shell element. The membrane element used is a triangular element with four nodes, three nodes at the vertices of the triangle and the fourth one at its barycenter. Each node has three degrees of freedom, two translations and one rotation around the normal. The coefficients related to the degrees of freedom at the internal node are subsequently removed from the element stiffness matrix by using the static condensation technique. The interpolation functions of strain, displacements and stresses fields are developed from equilibrium conditions. The plate element used for the construction of the present shell element is a triangular four-node thin plate element based on Kirchhoff plate theory, the strain approach, the four fictitious node, the static condensation and the analytic integration. The shell element result of this combination is robust, competitive and efficient.

Effective Interference Alignment for Device-to-Device Communication Underlaid in Multi-Cell Interference Network (다중셀 간섭 네트워크와 중첩된 D2D 통신을 위한 효과적인 간섭 정렬 기법)

  • Qu, Xin;Kang, Chung Gu
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.3
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    • pp.161-163
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    • 2014
  • We consider the device-to-device (D2D) communication underlaying multi-cell interference system, in which the cellular downlink (DL) resource is reused by K cells and two D2D transmission links within each cell. In this paper, it has been shown that the downlink intra-cell and inter-cell interference can be effectively handled by interference alignment (IA) technique, as long as the simultaneous D2D links are properly selected or power-controlled so that they may not incur interference to the base stations in the same and neighbor cells. In particular, we provides the IA technique that can achieve the theoretically maximum possible degree of freedom (DOF), demonstrating that a total of (K+1)M degrees of freedom (DOFs) can be achieved for K-cell interference system with two underlaying D2D links, where base stations, cellular UE's, and D2D UE's all have M transmit and receive antennas.

Partial Pole Assignment via Constant Gain Feedback in Two Classes of Frequency-domain Models

  • Wang, Guo-Sheng;Yang, Guo-Zhen;Duan, Guang-Ren
    • International Journal of Control, Automation, and Systems
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    • v.5 no.2
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    • pp.111-116
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    • 2007
  • The design problem of partial pole assignment (PPA) in two classes of frequency-domain MIMO models by constant gain feedback is investigated in this paper. Its aim is to design a constant gain feedback which changes only a subset of the open-loop eigenvalues, while the rest of them are kept unchanged in the closed-loop system. A near general parametric expression for the feedback gain matrix in term of a set of design parameter vectors and the set of the closed-loop poles, and a simple parametric approach for solving the proposed problem are presented. The set of poles do not need to be previously prescribed, and can be set undetermined and treated together with the set of parametric vectors as degrees of design freedom provided by the approach. An illustrative example shows that the proposed parametric method is simple and effective.

Design of an adaptive backstepping controller for auto-berthing a cruise ship under wind loads

  • Park, Jong-Yong;Kim, Nakwan
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.6 no.2
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    • pp.347-360
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    • 2014
  • The auto-berthing of a ship requires excellent control for safe accomplishment. Crabbing, which is the pure sway motion of a ship without surge velocity, can be used for this purpose. Crabbing is induced by a peculiar operation procedure known as the push-pull mode. When a ship is in the push-pull mode, an interacting force is induced by complex turbulent flow around the ship generated by the propellers and side thrusters. In this paper, three degrees of freedom equations of the motions of crabbing are derived. The equations are used to apply the adaptive backstepping control method to the auto-berthing controller of a cruise ship. The controller is capable of handling the system non-linearity and uncertainty of the berthing process. A control allocation algorithm for a ship equipped with two propellers and two side thrusters is also developed, the performance of which is validated by simulation of auto-berthing.

A Study On the Development of Multi-Purpose Measurement System for the Evaluation of Ship Dynamic Motion (선체 운동 평가를 위한 다기능 계측시스템 개발에 관한 연구)

  • Lee, Yun-Sok;Kim, Chol-Seong;Kong, Gil-Young;Song, Chae-Uk;Um, Pil-Yong
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2005.06a
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    • pp.1155-1160
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    • 2005
  • In order to evaluate the safety of navigation at sea and the safety of mooring ship on berthing, it is necessary that the wave and wind induced ship dynamic motion should be measured in real time domain for the validity of theoretical evaluation method such as sea-keeping performance and safety of mooring. In this paper, the basic design of sensors is discussed and some system configurations were shown. The developed system mainly consists of 4 kinds of sensors such as three dimensional accelerator, two dimensional tilt sensor, two displacement sensors and azimuth sensor. Using the this measuring system, it can be obtained the 6 degrees of freedom of ship dynamic motions at sea and on berthing such as rolling, pitching, yawing, sway, heave, surge under the external forces.

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The Eclipse-II Parallel Mechanism for Motion Simulators

  • Kim, Jongwon;Hwang, Jae-Chul;Kim, Jin-Sung;Park, Frank C.;Cho, Young-Man
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2002.10a
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    • pp.286-291
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    • 2002
  • We present the analysis and design of a new six degree-of-freedom parallel mechanism, Eclipse-II, which can be used as a basis for general motion simulators. This mechanism allows x, y and z-axis translations and a, b and c-axis rotations. Most significantly, it presents the advantage of enabling continuous 360 degrees spinning of the platform. We first describe the computational procedures for the forward and in inverse kinematics of the Eclipse-II. Next, the complete singularity analysis is presented for the two cases of end-effector and actuator singularities. Two additional actuators are added to the original mechanism to eliminate both types of singularities with in the workspace. Some practical aspects of the prototype development are introduced.

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Experimental studies of suppressing effectiveness on sloshing with two perforated floating plates

  • Yu, Yue-Min;Ma, Ning;Fan, She-Ming;Gu, Xie-Chong
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.285-293
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    • 2019
  • In the present paper, model tests of suppressing sloshing fitted with two perforated floating plates are carried out. The study involves identification of system performance such as the suppression and the solidity ratio. Three different solidity ratios of perforated plates have been tried out as potential positive slosh damping devices. A series of painstaking experiments have been conducted in a rigid rectangular tank on six degrees of freedom motion platform under roll harmonic excitation. Comparison of the clean tank shows that the three types of perforated plates are all effective on damping the run-up and impact pressure along the bulkhead. The parametric study indicates that the perforated plate with the median solidity ratio is the most optimal one in suppressing sloshing among three configurations.

Analysis of optimum condition for the suspension system with torsion bar spring (Torsion bar spring을 가진 현수장치에 대한 최적조건 해석)

  • 손병진;신영철
    • Journal of the korean Society of Automotive Engineers
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    • v.4 no.1
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    • pp.40-45
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    • 1982
  • The spring constant and damping coefficient are vital factors of ride comfort and driving stability in the vibration of the vehicle which is mainly induced by a variety of the surface irregularity. This paper reviewed the optimum condition of the damping factor derived from the typical model of two mass-two degrees of freedom. Through the evaluation and discussion, it was presented that the spring of the torsion bar type was not effective for the driving stability in the large displacement of the wheel, and also that the damper with progressive performance has to be fundamentally selected to meet the requirement of the driving suability when this kind of spring is used as a suspension system of the vehicle.

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Lateral-torsional seismic behaviour of plan unsymmetric buildings

  • Tamizharasi, G.;Prasad, A. Meher;Murty, C.V.R.
    • Earthquakes and Structures
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    • v.20 no.3
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    • pp.239-260
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    • 2021
  • Torsional response of buildings is attributed to poor structural configurations in plan, which arises due to two factors - torsional eccentricity and torsional flexibility. Usually, building codes address effects due to the former. This study examines both of these effects. Buildings with torsional eccentricity (e.g., those with large eccentricity) and with torsional flexibility (those with torsional mode as a fundamental mode) demand large deformations of vertical elements resisting lateral loads, especially those along the building perimeter in plan. Lateral-torsional responses are studied of unsymmetrical buildings through elastic and inelastic analyses using idealised single-storey building models (with two degrees of freedom). Displacement demands on vertical elements distributed in plan are non-uniform and sensitive to characteristics of both structure and earthquake ground motion. Limits are proposed to mitigate lateral-torsional effects, which guides in proportioning vertical elements and restricts amplification of lateral displacement in them and to avoid torsional mode as the first mode. Nonlinear static and dynamic analyses of multi-storey buildings are used to validate the limits proposed.

Nonlinear Dynamic Analysis of Vehicle-Bridge Interaction considering the Hertzian Contact Spring and Rail Irregularities (헤르쯔 접촉스프링과 레일 요철을 고려한 차량-교량 동적상호작용 비선형 해석)

  • Kang, Young-Jong;Neuyen, Van-Ban;Kim, Jung-Hun;Kang, Yoon-Suk
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.1478-1485
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    • 2010
  • In this paper, the nonlinear dynamic response of Vehicle-Bridge interaction with the coupled equations of motion including nonlinear Hertzian contact is presented. The moving train model is chosen to have 10 degrees of freedom (DOF). The bridge is modeled as 2D Euler-Bernoulli beam element with 4 DOF for each element, two for rotations and another two for translations. The nonlinear Hertzian contact is used to simulate the interaction between vehicle and bridge. Base on the relationship of wheel displacement of the vehicle and the vertical displacement of the bridge in Hertzian contact, the coupled equations of motion of the whole system is derived. The convenient formulation was encoded into a computer program. The contact forces, contact area and stress of the rail surface were also computed. The accuracy and efficiency of the proposed program are verified and compared with exact analytical solution and other previous studies. Various numerical examples and parametric studies have demonstrated the versatility and applicability of the proposed program.

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