• Title/Summary/Keyword: Eigen Problem

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Time Domain Identification of Structures Using Test Data (측정자료를 이용한 시간영역에서의 구조물의 동특성 추정)

  • 한종석;정범석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.159-167
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    • 1996
  • This paper describes the theory and verification of a method which utilizes the free decay response of a structure to determine its vibration parameters. The theory of the method is base on the formulation of a system matrix, contains information characterizing the complete set of modal parameters of the system, and its eigen-solution problem. The applicability of the method is verified by simulated free decay response data of a cantilever bean The method described was used to determined the parameters related to the first five generated modes of vibration of a cantilever beam. It involves two very close natural frequencies which could not be identified using a frequency sweep test(peak amplitude) because of interference between modes.

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Vibration Analysis of a Flexible Structure in a Motion (유연 구조물의 운동중 발생하는 진동의 해석)

  • 이신영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1503-1509
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    • 1994
  • An analysis method is suggested and experimentally studied in order to solve a vibration problem of a flexible structure while it is moving. In this method, substructure synthesis method, modal analysis method and Newmark's integral method were used. Total deformation of a structure was composed of quasistatic component and dynamic component. Rigid body modes were considered in calculation of dynamic component. Combining those two component, deformation behavior and a real structural model of a transfer feeder showed good agreements with computational results.

A study on Seismic Retrofitting of the NPP Cabinets (원전 캐비넷 구조물의 동적보강효과에 관한 연구)

  • 이계희;김재민;정연석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.374-381
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    • 2003
  • In this study, the reduction schemes of ICRS(In-Cabinet Response Spectra), the main part of seismic safety qualification of old nuclear power plant(USI A-46 problem), are studied. To obtain accurate dynamic characteristics of cabinet structure, the cabinet structure modeled by frame model and its eigen analysis is performed. The three types of seismic retrofitting scenarios, such as 1) the installation of bracing, 2) installation of damper, 3) installation of tuned mass damper(TMD), are established and evaluated for the decreasing of ICRS. In the cases of 1) & 2), since, the retrofitted structures show larger ICRS than that of original structure, the careful considerations are need in the application of these methods. Though, the case of TMD show the best retrofitting result, the tuning between the real structure and analysis model is estimated the essential step of retrofitting.

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Dynamics of Track/Wheel Systems on High-Speed Vehicles

  • Kato Isamu;Terumichi Yoshiaki;Adachi Masahito;Sogabe Kiyoshi
    • Journal of Mechanical Science and Technology
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    • v.19 no.spc1
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    • pp.328-335
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    • 2005
  • For high speed railway vehicles, we consider a vibration of flexible track/wheel system. It is very important to deal with the complex phenomena of high-speed vehicles that can be occurred in the vertical vibration of the system. From a viewpoint of multibody dynamics, this kind of problem needs accurate analysis because the system includes mutual dynamic behaviors of rigid body and flexible body. The simulation technique for the complex problems is also discussed. We consider the high-speed translation, rail elasticity, elastic supports under the rail and contact rigidity. Eigen value analysis is also completed to verify the mechanism of the coupled vertical vibration of the system.

Optimal Design of a Disk-Brake Considering the Eigen-Frequency (고유진동수를 고려한 디스크 브레이크의 최적설계)

  • 유정훈;한상훈
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.655-659
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    • 2003
  • In this study, an improved topology design methodology that is combined with genetic algorithm, response surface method is provided to overcome the limitations of the ordinary topology optimization methods on the complex non-linear problem. the method is applied to a disc brake system for reducing an automobile brake noise. The low frequency that may induces the brake noise under the unstable mode is increased by obtaining the optimal topology. The result is verified by the analysis of variance and confirmed that the estimators for the approximation equations are highly reliable

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Complex Modal Analysis of General Rotor System by Using Floquet Theory (플로케이론을 이용한 일반회전체의 복소 모드해석)

  • Han Dong-Ju;Lee Chong-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.10 s.241
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    • pp.1321-1328
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    • 2005
  • Based upon the Floquet theory, the complex modal solution for general rotor systems with periodically time-varying parameters is newly derived. The complete modal response can be obtained from the orthonormality condition between the time-variant eigenvectors and the corresponding adjoint vectors. The harmonic solutions such as the response and directional special a patterns are then derived in terms of harmonic modes whose coefficients are obtained from the modal analysis. The stability analysis by the Floquet's transition matrix and the eigen-analysis is also performed.

Vibration analysis of magneto-flexo-electrically actuated porous rotary nanobeams considering thermal effects via nonlocal strain gradient elasticity theory

  • Ebrahimi, Farzad;Karimiasl, Mahsa;Mahesh, Vinyas
    • Advances in nano research
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    • v.7 no.4
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    • pp.223-231
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    • 2019
  • In this article the frequency response of magneto-flexo-electric rotary porous (MFERP) nanobeams subjected to thermal loads has been investigated through nonlocal strain gradient elasticity theory. A quasi-3D beam model beam theory is used for the expositions of the displacement components. With the aid of Hamilton's principle, the governing equations of MFERP nanobeams are obtained. Further, administrating an analytical solution the frequency problem of MFERP nanobeams are solved. In addition the numerical examples are also provided to evaluate the effect of nonlocal strain gradient parameter, hygro thermo environment, flexoelectric effect, in-plane magnet field, volume fraction of porosity and angular velocity on the dimensionless eigen frequency.

Dynamic Analysis of the Tire by Sector Method (섹터해석법을 이용한 타이어의 동특성 해석)

  • 이인원;김동옥;김항우;정상우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.9
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    • pp.2173-2180
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    • 1995
  • This paper presents free vibration analysis method using the characteristics of the rotationally periodic structures and includes the analysis results of a tire as an example. The normal modes of the rotationally periodic structures are the kind of standing waves, so all sectors have the same deflection shapes, and only different phases. This property makes it possible to derive the analysis method called sector method. The sector method can give the accurate natural frequencies and the corresponding mode shapes of the rotationally periodic structure with information of only one sector. When the free vibration analysis is performed to find the dynamic characteristics of the rotationally periodic structure by using the sector method, the computer memory spaces and the CPU times can be saved. We obtained much economic benefits by using the sector method in the analysis of dynamic characteristics of a tire made of non-linear materials.

Signal Parameters Estimation in Array Sensors via Nonlinear Minimization. (비선형 최소화 방법을 이용한 수신신호의 파라미터 추정알고리즘에 관한 연구)

  • Jeong, Jung-Sik;Park, Sung-Hyeon;Kim, Chul-Seung;Ahn, Young-sup
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2004.04a
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    • pp.305-309
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    • 2004
  • The problem for parameters estimation of the received signals impinging on array sensors has long been of great research interest in a great variety of applications, such as radar, sonar, and land mobile communications systems. Conventional subspace-based algorithms, such as MUSIC and ESPRIT, require an extensive computation of inverse matrix and eigen-decomposition. In this paper, we propose a new parameters estimation algorithm via nonlinear minimization, which is simplified computationally and estimates signal parameters simultaneously.

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Dynamic Instability of Rocket-Propelled Flying Bodies

  • Sugiyama, Yoshihiko
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2003.10a
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    • pp.1-5
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    • 2003
  • This paper deals with dynamic instability of slender rocket-propelled flying bodies, such as launch vehicle and advances missiles subjected to aerodynamic loads and an end rocket thrust. A flying body is simplified into a uniform free-free beam subjected to an end follower thrust. Two types of aerodynamic loads are assumed in the stability analysis. Firstly, it is assumed that two concentrated aerodynamic loads act on the flying body at its nose and tail. Secondly, to take account of effect of unsteady flow due to motion of a flexible flying body, aerodynamic load is estimated by the slender body approximation. Extended Hamilton's principle is applied to the considered beam for deriving the equation of motion. Application of FEM yields standardeigen-value problem. Dynamic stability of the beam is determined by the sign of the real part of the complex eigen-values. If aerodynamic loads are concentrated loads that act on the flying body at its nose and tail, the flutter thrust decreases by about 10% in comparison with the flutter thrust of free-free beam subjected only to an end follower thrust. If aerodynamic loads are distributed along the longitudinal axis of the flying body, the flutter thrust decreases by about 70% in comparison with the flutter thrust of free-free beam under an end follower thrust. It is found that the flutter thrust is reduced considerably if the aerodynamic loads are taken into account in addition to an end rocket thrust in the stability analysis of slender rocket-propelled flying bodies.

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