• Title/Summary/Keyword: bending and torsional vibration

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Analytical study on free vertical and torsional vibrations of two- and three-pylon suspension bridges via d'Alembert's principle

  • Zhang, Wen-ming;Wang, Zhi-wei;Zhang, Hao-qing;Lu, Xiao-fan;Liu, Zhao
    • Structural Engineering and Mechanics
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    • v.76 no.3
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    • pp.293-310
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    • 2020
  • This study derives the differential equations of free vertical bending and torsional vibrations for two- and three-pylon suspension bridges using d'Alembert's principle. The respective algorithms for natural vibration frequency and vibration mode are established through the separation of variables. In the case of the three-pylon suspension bridge, the effect of the along-bridge bending vibration of the middle pylon on the vertical bending vibration of the entire bridge is considered. The impact of torsional vibration of the middle pylon about the vertical axis on the torsional vibration of the entire bridge is also analyzed in detail. The feasibility of the proposed method is verified by two engineering examples. A comparative analysis of the results obtained via the proposed and more intricate finite element methods confirmed the former feasibility. Finally, the middle pylon stiffness effect on the vibration frequency of the three-pylon suspension bridge is discussed. It is found that the vibration frequencies of the first- and third-order vertical bending and torsional modes both increase with the middle pylon stiffness. However, the increase amplitudes of third-order bending and torsional modes are relatively small with the middle pylon stiffness increase. Moreover, the second-order bending and torsional frequencies do not change with the middle pylon stiffness.

Process Analysis and Test for Manufacturing the Sleeve Spring Type-Torsional Vibration Damper (슬리브 스프링 형식 비틀림 진동감쇠기 제조를 위한 공정해석 및 시험)

  • Hwang, Beom-Cheol;Bae, Won-Byong;Jang, Young-Jun;Kim, Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.12
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    • pp.1471-1481
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    • 2009
  • In diesel engines, it is inevitable that the torsional vibration is produced by the fluctuation of engine torque. Therefore, it is necessary to establish preventive measures to diminish the torsional vibration. The sleeve spring type damper is one of the preventive measures for reducing the torsional vibration. In this study, the closed form equations to predict the spring constant of a sleeve spring and the torsional characteristics of the torsional vibration damper are proposed to calculate stiffness of the damper and verified their availability through the finite element analysis and experiments. And the stability of the sleeve spring torsional vibration damper is verified by analyzing the inner star and outer star, which are the core parts of the damper, and 2-roll bending process is proposed to manufacture sleeve spring. The program to calculate the initial radius including spring-back effect is developed, and the FEA method to analyze elasto-plastic problem was verified through analysis of 90$^{\circ}$bending process. The results of the analysis are in good agreements with those of the experiments. The newly proposed method can be used as an advanced technique that remarkably curtails cost of production and replaces the conventional forming.

Bending-Torsional Vibration Characteristics of Large Structure Influenced by Coupling Effects (연성효과에 의한 대형 구조물의 굽힘-비틀림 진동특성)

  • 송창용;손충열;송재영
    • Journal of KSNVE
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    • v.6 no.4
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    • pp.431-438
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    • 1996
  • The channel type structure which has large openings is frail with respect to torsional strength, and the horizontal-torsional motion is highly coupled, because of the large difference between the centroil and the shear center. Also, a discontinuous boundary phase is came from tansition section between the opened section and the closed section. To analyze the Bending- Torsional coupled mode parameters for the channel type structure, the Transfer Matrix Method was used. Comparing the result of F.D.M.T.M.M yields good results in relatively low frequency region.

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A Process Analysis for Manufacturing the Sleeve Spring of the Torsional Vibration Damper (비틀림 진동감쇠기용 슬리브 스프링의 제조 공정 해석)

  • Hwang, Beom-Cheol;Bae, Won-Byong;Kim, Chul
    • Journal of the Korean Society for Precision Engineering
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    • v.26 no.12
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    • pp.94-101
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    • 2009
  • In diesel engines, it is inevitable that the torsional vibration is produced by the fluctuation of engine torque. Therefore, it is necessary to establish preventive measures to diminish the torsional vibration. The sleeve spring type damper is one of the preventive measures for reducing the torsional vibration. In this study, 2-roll bending process was proposed to manufacture sleeve spring; The program to calculate the initial radius including springback effect was developed and the FEA method to analyze elasto-plastic problem was verified through analysis of 90 degree bending process. The elasto-plastic analysis of 2-roll bending process was carried out by the FEA method verified to set a new criterion, and the new process design parameter(contact angle) in the 2-roll bending process was proposed.

Vibration Excitation Mechanism of Commercial Vehicle Driveline (사용차 구동축의 진동발생 메카니즘의 규명)

  • Park, B.Y.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.12
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    • pp.109-119
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    • 1995
  • A driveline incorporating universal joints when driving through an angle can excite various components in a vehicle with second order excitation of torsional and bending vibrations, being transmitted either audibly(noise), or physically(vibration). For a certain range of vehicle dpeed noises can be radiated from the cab wall, in which resonances occur by the excitations transmitted from the driveline as a vibration source. In this paper, the excitation mechanism of cab noises is studied especially for the vehicle speed range of 65 .approx. 75 km/h through the simulation for torsional vibrations of the driveline and for bending vibrations of the cab of an 11 Ton grade Cargo Truck, and verified additionally by vibration and noise measurements. As a result, it is found that the uncomfortable noises in the cab are caused mainly by the abrupt increase of the joint angle of driveline near the axle differential resulted from the excessive clearance alignment of the leaf spring gate.

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Analysis of the Vibration Fatigue for the Diesel Engine and Reduction Gear Connecting Shaft in a Ship (선박용 감속기어-디젤엔진 연결축의 진동 피로파손 분석)

  • Han, HyungSuk;Lee, KyungHyun;Park, Sungho;Kim, ChungSik
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.5
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    • pp.407-413
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    • 2014
  • The diesel engine and reduction gear combination is one of the common propulsion system in a naval vessel. Since the diesel engine has torsional vibration caused by reciprocating motion of the mass and gas pressure force of the cylinder, high cycle torsional fatigue can be occurred. Therefore, ROK navy restricts the maximum stress of the propulsion shaft according to MIL G 17859D. In this paper, the root cause for the failure of the diesel engine and reduction gear connecting shaft occurred in typical naval vessel is investigated based on the measured bending and torsional moment according to MIL G 17859D procedure.

Torsional modal testing of a non-ferromagnetic shaft by magnetostrictive patch transducers (자기변형 패치 트랜스듀서를 이용한 비자성 축의 비틀림 모달 테스팅)

  • Cho, Seung-Hyun;Han, Soon-Woo;Park, Chan-Il;Kim, Yoon-Young
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.1159-1164
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    • 2006
  • Torsional vibration is an important vibration mode when shafts, cylinders and pipes are considered. However, the modal testing of torsional vibrations is not an easy job to carry out because of the lack of proper transducers. This work presents a new torsional vibration transducer based on the magnetostrictive principle and its application to torsional modal testing. The transducer is so designed as to generate/measure only torsional vibrations excluding other vibration modes such as longitudinal and bending vibrations. The transducer is composed of ferromagnetic patches bonded to a test structure, permanent magnets, and a solenoid. Though patches and magnets are bonded to a structure, torsional vibrations are generated and measured wirelessly by a solenoid encircling a test structure. The proposed transducer works even at considerably high frequencies, say, tens of kilohertz. Furthermore, the transducer can be manufactured at a low price. To check the performance of the proposed method, the torsional modal testing on a hollow aluminum shaft was conducted. The results, such as eigenfrequencies, obtained by the proposed transducer agreed favorably with theoretical results.

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Torsional Modal Testing of a Non-ferromagnetic Shaft by Magnetostrictive Patch Transducers (자기변형 패치 트랜스듀서를 이용한 비자성 축의 비틀림 모달 테스팅)

  • Cho, Seung-Hyun;Han, Soon-Woo;Park, Chan-Il;Kim, Yoon-Young
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.8 s.113
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    • pp.879-885
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    • 2006
  • Torsional vibration is an important vibration mode when shafts, cylinders and pipes are considered. However, the modal testing of torsional vibrations is not an easy task to carry out because of the lack of proper transducers. This work presents a new torsional vibration transducer based on the magnetostrictive principle and its application to torsional modal testing. The transducer is so designed as to generate/measure only torsional vibrations excluding other vibration modes such as longitudinal and bending vibrations. The transducer is composed of ferromagnetic patches bonded to a test structure, permanent magnets, and a solenoid. Though patches and magnets are bonded to a structure, torsional vibrations are generated and measured wirelessly by a solenoid encircling a test structure. The proposed transducer works even at considerably high frequencies, say, tens of kilohertz. Furthermore, the transducer can be manufactured at a low price. To check the performance of the proposed method, the torsional modal testing on a hollow aluminum shaft was conducted. The results, such as eigenfrequencies, obtained by the proposed transducer agreed favorably with theoretical results.

Derivation and verification of the exact dynamic element for composite Timoshenko beam (복합재 티모센코 보의 엄밀한 동적 요소 유도 및 검증)

  • Kang, B.S.;Hong, S.W.;Park, J.Y.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.540-545
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    • 2000
  • This paper presents the exact dynamic element for composite Timoshenko beam, which is inherently subject both to bending and torsional vibration. The coupling effect between bending and torsional vibrations is rigorouly considered in the derivation of the exact dynamic element. Two examples are provided to validate and illustrate the proposed exact dynamic element matrix for composite Timoshenko beam.

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Structure Design Optimization of Small Class Forklift for Idle Vibration Reduction (소형 지게차의 Idle 진동 저감을 위한 차체 구조 최적 설계)

  • Lee, Wontae;Kim, Younghyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.660-664
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    • 2014
  • A diesel forklift truck under 3-ton class has disadvantages in the vibration transmission path. Because the weight ratio of body structure to powertrain which is source of excitation force is lower th an a mid-class forklift. In addition, the torsional and bending vibration mode frequencies of body structure are within the engine excitation frequency range, then high idle vibration generated by resonance. In this paper vehicle body structure design and optimization technique considering idle vibration reduction are presented. Design sensitivity analysis is applied to search the sensitive of design parameters in body structure. The design parameters such as thickness and pillar cross section were optimized to increase the torsional and bending vibration mode frequencies.

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