• Title/Summary/Keyword: Dynamic transfer matrix

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Earthquake response analysis of series reactor

  • Bai, Changqing;Xu, Qingyu;Zhang, Hongyan
    • Structural Engineering and Mechanics
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    • v.21 no.6
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    • pp.621-634
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    • 2005
  • A direct transfer substructure method is presented in this paper for analyzing the dynamic characteristics and the seismic random responses of a series reactor. This method combines the concept of FRF (frequency response function) and the transfer matrix algorithm with the substructure approach. The inner degrees of freedom of each substructure are eliminated in the process of reconstruction and the computation cost is reduced greatly. With the convenient solution procedure, the dynamic characteristics analysis of the structure is valid and efficient. Associated with the pseudo excitation algorithm, the direct transfer substructure method is applied to investigating the seismic random responses of the series reactor. The numerical results demonstrate that the presented method is efficient and practicable in engineering. Finally, a precise time integration method is employed in performing a time-history analysis on the series reactor under El Centro and Taft earthquake waves.

On Development of Vibrational Analysis Algorithm of Cylindrical Shell Structures With Stiffeners (보강재를 갖는 원통셸 구조물의 진동해석 알고리즘의 개발에 관한 연구)

  • 문덕홍;여동준
    • Journal of KSNVE
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    • v.6 no.4
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    • pp.481-491
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    • 1996
  • In this paper, we formulated algorithm for free vibration analysis of cylindrical shells with stiffeners by applying the transfer influence coefficient method. This was developed as a vibration analysis method suitable for using personal computer(PC). The simple computational results form PC demonstrated the validity of the present algorithm, that is, the computational high accuracy and speed, and the flexibility of programming. We compared with results of the transfer matrix method and the reference. We also confirmed that the present algorithm could provide the solutions of high accuracy for system with a lots of intermediate rigid supports and stiffeners. And all boundary conditions and the intermediate stiff supports between shell and foundation could be treated only by adequately varying the values of the spring constants.

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Investigation on the Size and Center of Sweet Spot of Golf Club (골프클럽 안정타점영역의 크기와 중심에 관한 연구)

  • 이정윤;마정범;오재응
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.5
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    • pp.992-998
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    • 1992
  • This paper presents a method for dynamic analysis of golf club. In the analysis, the sweet spot of golf club is defined based on the magnitude of torsional vibration, and transfer matrix method is employed for numerical calculations. It is shown that the calculated natural frequencies, mode shapes and transfer function agree well with the experimental results.

Dynamic analysis of a cable-stayed bridge using continuous formulation of 1-D linear member

  • Yu, Chih-Peng;Cheng, Chia-Chi
    • Earthquakes and Structures
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    • v.3 no.3_4
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    • pp.271-295
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    • 2012
  • This paper presents the solution scheme of using the continuous formulation of 1-D linear member for the dynamic analysis of structures consisting of axially loaded members. The context describes specific applications of such scheme to the verification of experimental data obtained from field test of bridges carried out by a microwave interferometer system and velocimeters. Attention is focused on analysis outlines that may be applicable to in-situ assessment for cable-stayed bridges. The derivation of the dynamic stiffness matrix of a prismatic member with distributed properties is briefly reviewed. A back calculation formula using frequencies of two arbitrary modes of vibration is next proposed to compute the tension force in cables. Derivation of the proposed formula is based on the formulation of an axially loaded flexural member. The applications of the formulation and the proposed formula are illustrated with a series of realistic examples.

Sensitivity Analysis of Dynamic Characteristics of Structural Systems by the Transfer Matrix Method and the Combined Finite Element-Transfer Matrix Method (전달매트릭스법 및 유한요소-전달매트릭스 결합방법에 의한 구조계의 동특성 감도해석)

  • D.S. Cho;K.C. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.1
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    • pp.143-157
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    • 1992
  • For the design of structural systems having the prescribed or optimum dynamic characteristics, some design changes of the initially designed system are required. In these cases, if the sensitivity analysis which can predict the changes of dynamic characteristics due to the changes of design variables is applied, the design changes can be carried out rationally and very efficiently. For many structural systems, it is well known that the analysis by the transfer matrix method(TMM) and the combined finite element-transfer matrix method(FETMM) is more efficient than the analysis by the finite element method. However, most known studies on the sensitivity analysis of structural systems premise using the finite element method. In this paper, the sensitivity analysis methods by the TMM and the FETMM are presented and some numerical investigations on the beam-column with elastically restrained ends and intermediate contraints and the stiffened plate having subsystems are carried out. The results of the numerical examples show good accuracy and computational efficiency of the presented methods, and show that the application of sensitivity analysis in the dynamic characteristic reanalysis give good results within the practically changeable range of design variables.

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Free Vibration Analysis of Disk Structure by the Transfer Influence Coefficient Method (전달영향계수법에 의한 원판구조물의 자유진동해석)

  • ;末岡淳男;近騰孝廣
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1439-1446
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    • 1991
  • 본 연구에서는 동적영향계수의 축차전달에 그 개념을 두고 있는 전달영향계수 법을, 2층 원판구조물의 자유진동해석애 적용해서, 그 알고리즘을 정식화 하고 전달매 트릭스법과 비교 검토하였다.

Reliability analysis of repairable k-out-n system from time response under several times stochastic shocks

  • Fang, Yongfeng;Tao, Wenliang;Tee, Kong Fah
    • Smart Structures and Systems
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    • v.14 no.4
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    • pp.559-567
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    • 2014
  • The model of unit dynamic reliability of repairable k/n (G) system with unit strength degradation under repeated random shocks has been developed according to the stress-strength interference theory. The unit failure number is obtained based on the unit failure probability which can be computed from the unit dynamic reliability. Then, the transfer probability function of the repairable k/n (G) system is given by its Markov property. Once the transfer probability function has been obtained, the probability density matrix and the steady-state probabilities of the system can be retrieved. Finally, the dynamic reliability of the repairable k/n (G) system is obtained by solving the differential equations. It is illustrated that the proposed method is practicable, feasible and gives reasonable prediction which conforms to the engineering practice.

A Study on Dynamic Characteristics Analysis of Spindle Unit for Two-for-One Twister (투포원 연사기용 스핀들 유니트의 동특성 해석에 관한 연구)

  • Kim, Gwang-Yeong;Kim, Jong-Su
    • 연구논문집
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    • s.27
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    • pp.127-139
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    • 1997
  • Two-for-one twister is a kind of textile machine and makes special fancy yarn which is twisted two times per one revolution in order to increase tensile strength and wear resis-tance of yarn. Spindle mechanism has to be stable and continuous motion in high speed revolution, and then optimal design is necessary to analyze dynamic characteristics of spindle unit. Spindle unit is consist of blade and rotary disc that are cylindrical body of revolution. For analysis of the dynamic characteristics of spindle unit, transfer matrix method is used and a numerical code SPINDLE also. Torsion and natural bending frequency of the spindle unit are examined. Its displacement mode is studied in function of variable revolutions.

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Dynamic Behavior of Rotor in Switched Reluctance Motor Due to Unbalanced Mass (질량 불평형에 의한 SRM 회전자의 동적 거동에 관한 연구)

  • Ha, Gyeong-Ho;Hong, Jeong-Pyo;Kim, Gyu-Taek;Jang, Gi-Chan
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.5
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    • pp.305-312
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    • 2000
  • This study deals with the dynamic response of a rotor in Switched Reluctance Motor(SRM) caused by the unbalance force such as the unbalanced mass and electromagnetic force. The method to analyze the mechanical response of the rotor supported on the bearing is based on an extension of the 3-dimensional Transfer Matrix Method(TMM) coupled with the electromagnetic force calculated by Maxwell stress tensor. The displacement of the rotor as a function of frequency according to the position of the unbalanced mass is evaluated from the frequency response function (FRF). The rotor behaviour with the electromagnetic force is compared with that without the electromagnetic force. In addition, the resonance speeds and the vibration modes are analyzed and demonstrated in this paper. These results are useful in designing the mechanical rotor and in balancing properly the rotor to reduce vibration and noise.

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Dynamic Analysis of a Rotor System Having Thin-walled Cylinder Combined with Its Shaft (회전축에 Thin-walled Cylinder가 결합된 회전체 시스템의 동적 해석)

  • Choi, Young-Hyu;Park, Seon-Kyun;Hoong, Dae-Sun;Chung, Won-Jee
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.631-636
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    • 2000
  • In this paper a transfer method model was introduced in order to analyze critical speeds and vibration modes of a flexible rotor system, whose rotor shaft is cupped into and fitted with a thin-walled cylinder at its end. The computed analysis results were compared with those of the experimental modal test. Both results show good agreement each other. Furthermore the free-run(or run-down) test result for the real rotor system also shows that the proposed transfer matrix method modelling can be successfully applicable to analyzing accurate critical speeds(or natural frequencies) of the rotor system.

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