• Title/Summary/Keyword: Modal Coordinates

Search Result 61, Processing Time 0.027 seconds

Coupled buffeting response analysis of long-span bridges by the CQC approach

  • Ding, Quanshun;Chen, Airong;Xiang, Haifan
    • Structural Engineering and Mechanics
    • /
    • v.14 no.5
    • /
    • pp.505-520
    • /
    • 2002
  • Based on the modal coordinates of the structure, a finite-element and CQC (complete quadratic combination) method for analyzing the coupled buffeting response of long-span bridges is presented. The formulation of nodal equivalent aerodynamic buffeting forces is derived based on a reasonable assumption. The power spectral density and variance of nodal displacements and elemental internal forces of the bridge structure are computed using the finite-element method and the random vibration theory. The method presented is very efficient and can consider the arbitrary spectrum and spatial coherence of natural winds and the multimode and intermode effects on the buffeting responses of bridge structures. A coupled buffeting analysis of the Jiangyin Yangtse River Suspension Bridge with 1385 in main span is performed as an example. The results analyzed show that the multimode and intermode effects on the buffeting response of the bridge deck are quite remarkable.

Vibration Control of Flexible Linkage Mechanisms Using Piezoelectric Films (압전필름이용 유연 링키지 메카니즘의 진동제어)

  • Choe, Seung-Bok;Jeong, Jae-Cheon;Gu, Bon-Gwon
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.9 no.2
    • /
    • pp.81-91
    • /
    • 1992
  • A control methodology for suppressing the elastodynamic responses of high-speed flexible linkage mechanisms is presented by adopting the concept of smart structures featuring piezoelectric films. The dynamic modeling of the proposed mechanism is accomplished by employing a finite element formulation which accounts for dynamic motion in both inertial and elastic coordinates. The dynamics of piezoelectric actuators and sensors bonded on the original flexible structure are developed for one-dimensional beam in conjunction with the modal analysis. The linear optimal controller which consists of a feedback control law and a Luenberger observer is employed. Numerical simulation is performed to evaluate the improvement of elastodynamic responses.

  • PDF

Study of of Flexible Multibody Dynamics with Rotary Inertia (회전관성 효과를 고려한 탄성 다물체 동력학에 관한 연구)

  • 김성수
    • Journal of KSNVE
    • /
    • v.6 no.3
    • /
    • pp.287-296
    • /
    • 1996
  • A virtual work form of flexible multibody dynamic formulation with rotary inertia has been derived. For the analysis of large flexible multibody systems, deformation modal coordinates have been employed to represent coupled motion between gross and vibrational motion. For the efficient evaluation of the entries in the mass matrix, a flexible body has been treated as a collection of mass points. The rotary inertia was generated from the consistent mass matrix in a finite element model. Deformation mode shapes were obtained from finite element analysis. Bending and twisting vibration analyses of a cantilever have been carried out to see rotary inertia effects. A space flexible robot simulation has been also carried out to show effectiveness of the proposed formulation. This formulation is effective to the model that consists of beam, plate, or shell element that contains rotational degree of freedom at the nodal point. It is also effective to the flexible body model to which a large lumped rotary inertia is attached.

  • PDF

A study on torque shaping method for slewing and vibration suppression of flexible structures (유연우주비행체의 선회 및 진동억제를 위한 Torque Shaping 기법에 관한 연구)

  • 문종윤;석진영;김유단
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1996.10b
    • /
    • pp.1087-1090
    • /
    • 1996
  • The objective of this paper is to present a new input torque shaping method for slewing and vibration suppression of flexible structure based on Fourier series expansion. Vibration energy of the structure with shaped control input is investigated with respect to the shaping parameter of the reference torque, maneuver time and the number of trigonometric functions to be included in the series. Analytic expressions of the performance indices and their derivatives are derived in the modal coordinates. Numerical results show the effectiveness of the proposed approach to design the open-loop control law that modifies the shape of input torque for simultaneous slewing and vibration suppression.

  • PDF

Formulation of the equation of motion for flexible robotics arms by using the finite element and modal reduction method (유한요소및 모달감소법을 이용한 유연로보트팔 운동방정식의 정식화)

  • 김창부;유영선
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1991.10a
    • /
    • pp.533-538
    • /
    • 1991
  • In the design and operation of robot arms with flexible links, the equations of motion are required to exactly model the interaction between rigid motion and elastic motion and to be formulated efficiently. Thus, the flexible link is represented on the basis of the D-H rigid link representation to measure the elastic deformation. The equations of motion of robot arms, which are configured by the generalized coordinates of elastic and rigid degrees of freedom, are formulated by using F.E.M. to model complex shaped links systematically and by eliminating elastic mode of higher order that does not largely affect motion to reduce the number of elastic degree of freedom. Finally, presented is the result of simulation to flexible robotic arm whose joints are controlled by direct or PD control,

  • PDF

Dynamic Analysis of a Vehicle with Suspension Superelement Technique (서스팬션 슈우퍼엘리먼트 기법을 이용한 자동차의 동력학적 해석)

  • 정창모;유완석
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.12 no.3
    • /
    • pp.450-456
    • /
    • 1988
  • Dynamic analysis of a vehicle is carried out with rigid body and flexible body models. The chassis of the vehicle is treated as flexible body in the flexible body model, and vibration normal modes are considered to account for elastic deformation of the component. Using output from the modal analysis in the finite element program, input data for the dynamic analysis with flexible body is generated. To achieve the computational efficiency, SUPERELEMENT technique is used for the vehicle suspension subsisted. The computer simulation time with suspension superelement was much reduced due to the reduction of coordinates and no kinematic constraint in the system.

Determination of Dynamic Parameters of Agricultural Tractor Cab-Suspension by Modal Analysis (모드 해석을 이용한 트랙터 캡-현가 장치의 동적 파라미터 결정에 관한 연구)

  • 조진상;김경욱;박홍제
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.7 no.8
    • /
    • pp.216-223
    • /
    • 1999
  • This study was intended to determine the inertia , damping and stiffness properties of the cab-suspension of agricultural tractors by applying the direct system identification method (DSIM). Since the rigid and elastic modes of the cab-suspension are not likely to be separated clearly, direct application of the DSIM may result in large computation error. To solve such a problem, a method of locating mass center of the cab were determined by assuming the behavior of the cab-suspension is a rigid body motion. The dynamic parameters of the cab-suspension were then determined by applying the DSIM with the known coordinates of the mass center. The constraints of spatial matrices of the cab-suspension also make the algorithm for the DSIM perform better. The values of dynamic parameters determined by this method agreed well with those determined by the experiment.

  • PDF

Structure Borne Noise Analysis of a Flexible Body in Multibody System (다물체계내 유연체의 구조기인 소음해석)

  • 김효식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2003.05a
    • /
    • pp.130-135
    • /
    • 2003
  • This paper presents the method for structure borne noise analysis of a flexible body in multibody system. The proposed method is the superposition method using flexible muitibody dynamic analysis and finite element one. This method is executed in 3 steps. In the la step, time dependent quantities such as dynamic loads, modal coordinates ana gross body motion of the flexible body are calculated efficiently through flexible multibody dynamic analysis. And frequency response functions are computed using Fourier transforms of those time dependent quantities. In the 2$\^$nd/ step, acoustic pressure coefficients are obtained through structure-acoustic coupling analysis by finite element analysis. In the final step, frequency responses of acoustic pressure at the acoustic nodes are recovered through linear superposition of frequency response functions with acoustic pressure coefficients. The accuracy of the proposed method is verified in the numerical example of a simple car model.

  • PDF

A Comparison of Dynamics of Rotor Systems for Different Internal Damping Models (분포 내부 감쇠 모형에 따른 회전체 계 동특성 비교 연구)

  • 박종혁;전봉석;강중옥;홍성욱
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2001.11b
    • /
    • pp.838-843
    • /
    • 2001
  • Internal damping plays an important role in some rotor dynamic systems with the use of various materials for shafts, for example, composite material. However, although the effects of internal damping have been investigated for a couple of decades, there are several different internal damping models in use, none of which are accepted as the most reliable model. The purpose of this paper is to compare the results of dynamic analysis of rotor systems with several different internal damping models. The exact dynamic element method is used to formulate and analyze the problem. The simulation results provided in this paper may be useful for the dynamic analysis of high rotor systems subject to significant internal damping.

  • PDF

Estimation of Dynamic Displacements of a Bridge using FBG Sensors (FBG센서를 이용한 교량의 동적변위 추정)

  • Shin, Soobong;Yun, Byeong-Goo;Kim, Jae-Cheon
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.13 no.3 s.55
    • /
    • pp.101-109
    • /
    • 2009
  • An algorithm is proposed for estimating dynamic displacements of a bridge by using FBG sensors and by superposing some measurable low modes. Modal displacements are obtained from the beam theory and the generalized coordinates are deduced from the strains measured by FBG sensors. By considering flexural and torsional modes occurred in bridges only as flexural modes of a simply supported beam by separating a bridge into multiple girders or parts, the proposed algorithm can be applied to various types of bridges. Guidelines are provided theoretically for determining the number of modes and the number of strain gages to be used. The proposed algorithm has been examined through simulation studies on various types of bridges, laboratory experiments on a model bridge, and field tests on a simple span PC Box girder bridge. Through the simulation study, the effects of the error in the vibration modes and measurement noise on estimating the dynamic displacements are analyzed.