• 제목/요약/키워드: Dynamic matrix

검색결과 1,219건 처리시간 0.027초

Dynamic Instability of Lattice-Dome Structures by Lyapunov Concept

  • Han, Sang-Eul;Hou, Xiao-Wu
    • Architectural research
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    • 제10권1호
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    • pp.25-32
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    • 2008
  • Stability is a very important part which we must consider in structural design. In this paper, we take advantage of finite element method to study parametrical instability of lattice dome structures, which is subjected to harmonically pulsating load. We consider elastic stiffness and geometrical stiffness simultaneously during the calculation of stiffness matrix, and adopt consistent mass matrix to make the solution more correct. In order to obtain instability regions, we represent displacements and accelerations in dynamic equation by trigonometric series expansions, and then obtain Hill's infinite determinants. After first order approximation, we can get first and second order dynamic instability regions eventually. Finally, we take 24-bar star dome and 90-bar lamella dome as examples to investigate dynamic instability phenomena.

3차원 구조물의 동적응답 해석알고리즘에 관한 연구 (A Study on Dynamic Response Analysis Algorithm for Three Dimensional Structure)

  • 문덕홍;강현석;최명수
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.637-642
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    • 2000
  • This paper suggests new analysis algorithm for tile dynamic response of three dimensional structure which is frequently found in pipe line system of plant by the combination of the transfer stiffness coefficient method(TSCM) and Newmark method. Presented analysis algorithm for dynamic response can improve the computational accuracy remarkably owing to advantages of tile TSCM in comparison of transfer matrix method(TMM). Analysis system was modeled as a lumped mass system in this mettled. The analysis algorithm for dynamic response was formulated for the three dimensional structure. The validity of the this method is demonstrated through the results of numerical experiment for simple computational model by the TSCM and TMM.

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Measurement of Dynamic Characteristics of an Inducer in Cavitating Conditions

  • Ashida, Takuya;Yamamoto, Keita;Yonezawa, Koichi;Horiguchi, Hironori;Kawata, Yutaka;Tsujimoto, Yoshinobu
    • International Journal of Fluid Machinery and Systems
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    • 제10권3호
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    • pp.307-317
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    • 2017
  • In liquid-propellant rockets, POGO instability can occur, in which a fluctuation of propellant supply to the engine, a thrust fluctuation, and a structural vibration are coupled. For the prediction of this instability, it is required to provide dynamic characteristics of the pump represented as the transfer matrix correlating the upstream and downstream pressure and flow rate fluctuations. In the present study, the flow rate fluctuation is evaluated from the fluctuation of pressure difference at the different locations assuming that the fluctuation is caused by the inertia of the flow rate fluctuation. The experiments were performed in some flow conditions, and it was shown that the tendencies of dynamic characteristics are related to excitation frequencies, cavitation numbers and flow rate coefficients.

동적이완법을 이용한 공간구조의 후좌굴 해석에 관한 연구 (A Study on the Post-Buckling analysis of spatial structures by using dynamic relaxation method)

  • 이경수;이상주;이형훈;한상을
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2005년도 춘계학술발표회 및 정기총회 2권1호(통권2호)
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    • pp.154-160
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    • 2005
  • The present study is concerned with the application of dynamic relaxation method in the investigation of the large deflection behavior of spatial structures. The dynamic relaxation do not require the computation or formulation of any tangent stiffness matrix. The convergence to the solution is achieved by using only vectorial quantities and no stiffness matrix is required in its overall assembled form. In an effort to evaluate the merits of the methods, extensive numerical studies were carried out on a number of selected structural systems. The advantages of using dynamic relaxation methods, in tracing the post-buckling behavior of spatial structures, are demonstrated.

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전달 행렬법과 유한요소법을 이용한 중공 크랭크축의 강제 진동 해석 (Forced Vibration Analysis of a Hollow Crankshaft by using Transfer Matrix Method and Finite Element Method)

  • 김관주;최진욱
    • 한국자동차공학회논문집
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    • 제5권6호
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    • pp.44-52
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    • 1997
  • As part of the effort to reduce the weight of powertrain, a hollow crankshaft has been designed. The mass reduction of the crankshaft changes the dynamic properties of the crankshaft such as moment of inertia, and torsional, bending stiffness. The purpose of this paper is to compare the dynamic behavior of the hollow crankshaft with that of the original, solid crankshaft. Global dynamic behavior of the crankshaft is analyzed bgy the transfer matrix method(TMM). The crankshaft has been modeled by 38 lumped mass and stiffness elements. The dynamic patameters of each lumped element are provided by Finite Element Method(FEM). The responses of the crankshaft from TMM are fed back as loading conditions to the Finite Element model to obtain dynamic stresses for critical areas of the crankshaft.

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공작기계 주축계의 진동특성해석에 관한 연구 (Dynamic Characteristics Analysis of a Machine-Tool Spindle System)

  • 김석일;곽병만;이후상;정재호
    • 한국정밀공학회지
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    • 제8권2호
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    • pp.57-68
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    • 1991
  • In this study, to analyse the dynamic characteristics of a machine-tool spindle system, the spindle is mathematically represented by a Timoshenko beam including the internal damping of beam material, and each bearing by four bearing coefficients; stiffness and damping coefficients in moment and radial directions. And the dynamic compliance of the system is calculated by introducing the transfer matrix method, and the complex modal analysis method has been applied for the modal parameter identification. The influence of the bearing coefficients, material damping factor and bearing span on the dynamic characteristics of the system is parametrically examined.

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Matching Matrix를 사용하여 운전자와 승객의 관계를 반영한 강화학습 기반 유동적인 가격 책정 체계 (Dynamic Pricing Based on Reinforcement Learning Reflecting the Relationship between Driver and Passenger Using Matching Matrix)

  • 박준형;이찬재;윤영
    • 한국ITS학회 논문지
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    • 제19권6호
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    • pp.118-133
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    • 2020
  • 최근 통합교통서비스(Mobility-as-a-Service)의 개념을 도입하여 이용자들의 이동성과 접근성을 향상시키고자 하는 연구가 진행되고 있다. 특히 카셰어링, 택시 등 에 대해 수요와 공급에 따라 지역을 구분하여 가격을 책정하는 유동적인 가격 책정 전략을 도입하여 단일 요금제가 가지는 서비스 기피 등의 문제를 해결함과 동시에 기업과 운전자들의 수익성에 긍정적인 영향을 줄 수 있을 것으로 기대되고 있다. 본 연구에서는 승객과 운전자간의 배차거리, 승객의 운행거리, 승객의 목적지에 대한 HDBSCAN 알고리즘을 통해서 정밀하게 인식된 수요 밀집지역, 승객과 운전자가 생각하는 선호가격을 고려하여 승객과 운전자의 입장에서 Matching Matrix를 생성한다. 이를 조합하고 보상에 반영하여, 강화학습이 더욱더 현실적인 유동적인 가격 책정전략을 도출할 수 있는 새로운 방법론을 제안한다.

엄밀한 동적 요소를 이용한 비대칭 굽힘-비틀림 연성 보의 동적 해석 (Dynamic Analysis of Asymmetric Bending-torsion Coupled Beam Using Exact Dynamic Elements)

  • 홍성욱;강병식;조용주
    • 한국정밀공학회지
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    • 제18권8호
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    • pp.87-95
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    • 2001
  • Although asymmetric beams are widely used in industry, few research results are available on the dynamic modeling and analysis of structure including asymmetric beams. Asymmetric beams cause complicated vibration phenomena due to the inherent bending-torsion coupled vibration. In this paper, an exact dynamic element matrix for the bending-torsion coupled vibration of asymmetric beam is derived. The application of the derived exact dynamic element matrix is demonstrated by some illustrative examples wherein the natural frequencies by the proposed modeling method are compared with those available in the literature. Another numerical example is also illustrated which deals with a general beam with joints. The numerical study shows that the exact dynamic element model is useful for the dynamic analysis of asymmetric bending-torsion coupled beams.

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Dynamic analysis of thin-walled open section beam under moving vehicle by transfer matrix method

  • Xiang, Tianyu;Xu, Tengfei;Yuan, Xinpeng;Zhao, Renda;Tong, Yuqiang
    • Structural Engineering and Mechanics
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    • 제30권5호
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    • pp.603-617
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    • 2008
  • Three dimensional coupled bending-torsion dynamic vibrations of thin-walled open section beam subjected to moving vehicle are investigated by transfer matrix method. Through adopting the idea of Newmark-${\beta}$ method, the partial differential equations of structural vibration can be transformed to the differential equations. Then, those differential equations are solved by transfer matrix method. An iterative scheme is proposed to deal with the coupled bending-torsion terms in the governing vibration equations. The accuracy of the presented method is verified through two numerical examples. Finally, with different eccentricities of vehicle, the torsional vibration of thin-walled open section beam and vertical and rolling vibration of truck body are investigated. It can be concluded from the numerical results that the torsional vibration of beam and rolling vibration of vehicle increase with the eccentricity of vehicle. Moreover, it can be observed that the torsional vibration of thin-walled open section beam may have a significant nonlinear influence on vertical vibration of truck body.

Investigating the effect of edge crack on the modal properties of composite wing using dynamic stiffness matrix

  • Torabi, Ali Reza;Shams, Shahrokh;Fatehi-Narab, Mahdi
    • Steel and Composite Structures
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    • 제39권5호
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    • pp.543-564
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    • 2021
  • In this study free vibration analysis of a cracked Goland composite wing is investigated. The wing is modelled as a cantilevered beam based on Euler- Bernoulli equations. Also, composite material is modelled based on lamina fiber-reinforced. Edge crack is modelled by additional boundary conditions and local flexibility matrix in crack location, Castigliano's theorem and energy release rate formulation. Governing differential equations are extracted by Hamilton's principle. Using the separation of variables method, general solution in the normalized form for bending and torsion deflection is achieved then expressions for the cross-sectional rotation, the bending moment, the shear force and the torsional moment for the cantilevered beam are obtained. The cracked beam is modelled by separation of beam into two interconnected intact beams. Free vibration analysis of the beam is performed by applying boundary conditions at the fixed end, the free end, continuity conditions in the crack location of the beam and dynamic stiffness matrix determinant. Also, the effects of various parameters such as length and location of crack and fiber angle on natural frequencies and mode shapes are studied. Modal analysis results illustrate that natural frequencies and mode shapes are affected by depth and location of edge crack and coupling parameter.