• Title/Summary/Keyword: Mass-Spring

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Influence of Elastic Restraint and Tip Mass at Free End on Stability of Leipholz's Column (Leipholz 기둥의 안정성에 미치는 자유단의 탄성구속과 말단질량의 영향)

  • 윤한익;박일주;김영수
    • Journal of KSNVE
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    • v.7 no.1
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    • pp.91-97
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    • 1997
  • An analysis is presented on the stability of an elastic cantilever column having the elastic restraints at its free end, carrying an added tip mass, and subjected to uniformly distributed follower forces. The elastic restraints are formed by both a translational spring and a rotatory spring. For this purpose, the governing equations and boundary conditions are derived by using Hamilton's principle, and the critical flutter loads and frequencies are obtained from the numerical evaluation of the eigenvalue functions of this elastic system. The added tip mass increases as a whole the critical flutter load of the elastic cantilever column, but the presence of its moment of inertia of mass has a destabilizing effect. The existence of the translational and rotatory springs at the free end increases the critical flutter load of the elastic cantilever column. Nevertheless, their effects on the critical flutter load are not uniform because of their coupling. The translational spring restraining the free end of the cantilever column decreases the critical flutter load by coupling with a large value of tip mass, while by coupling with the moment of inertia of tip pass its effect on the critical flutter load is contrary. The rotatory spring restraining the free end of the cantilever column increases the critical flutter load by coupling with the tip mass, but decreases it by coupling with the moment of inertia of the tip mass.

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Identification of beam crack using the dynamic response of a moving spring-mass unit

  • An, Ning;Xia, He;Zhan, Jiawang
    • Interaction and multiscale mechanics
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    • v.3 no.4
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    • pp.321-331
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    • 2010
  • A new technique is proposed for bridge structural damage detection based on spatial wavelet analysis of the time history obtained from vehicle body moving over the bridge, which is different from traditional detection techniques based on the bridge response. A simply-supported Bernoulli-Euler beam subjected to a moving spring-mass unit is established, with the crack in the beam simulated by modeling the cracked section as a rotational spring connecting two undamaged beam segments, and the equations of motion for the system is derived. By using the transfer matrix method, the natural frequencies and mode shapes of the cracked beam are determined. The responses of the beam and the moving spring-mass unit are obtained by modal decomposition theory. The continuous wavelet transform is calculated on the displacement time histories of the sprung-mass. The case study result shows that the damage location can be accurately determined and the method is effective.

Effect of temperature and spring-mass systems on modal properties of Timoshenko concrete beam

  • Liu, Hanbing;Wang, Hua;Tan, Guojin;Wang, Wensheng;Liu, Ziyu
    • Structural Engineering and Mechanics
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    • v.65 no.4
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    • pp.389-400
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    • 2018
  • An exact solution for the title problem was obtained in closed-form fashion considering general boundary conditions. The expressions of moment, shear and shear coefficient (or shear factor) of cross section under the effect of arbitrary temperature distribution were first derived. In view of these relationships, the differential equations of Timoshenko beam under the effect of temperature were obtained and solved. Second, the characteristic equations of Timoshenko beam carrying several spring-mass systems under the effect of temperature were derived based on the continuity and force equilibrium conditions at attaching points. Then, the correctness of proposed method was demonstrated by a Timoshenko laboratory beam and several finite element models. Finally, the influence law of different temperature distribution modes and parameters of spring-mass system on the modal characteristics of Timoshenko beam had been studied, respectively.

Free Vibrations of Tapered Beams with General Boundary Conditions and Tip Masses (끝단 질량과 일반적인 단부조건을 갖는 변단면 보의 자유진동)

  • 오상진;이병구;박광규;이종국
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.802-807
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    • 2003
  • The purpose of this paper is to investigate the free vibration characteristics of tapered beams with translational and rotational springs and tip masses at the ends. The beam model is based on the classical Bernoulli-Euler beam theory. The governing differential equation for the free vibrations of linearly tapered beams is solved numerically using the corresponding boundary conditions. Numerical results are compared with existing solutions by other methods for cases in which they are available. The lowest three natural frequencies are calculated over a wide range of non-dimensional system parameters: the translational spring parameter, the rotational spring parameter, the mass ratio and the dimensionless mass moment of inertia.

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A Couple Vibration Analysis of Railway Track System with Consideration of Contact Stiffness (접촉 강성을 고려헌 차량-레일계의 연성 진동 해석)

  • 류윤선;조희복;김사수
    • Journal of KSNVE
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    • v.7 no.6
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    • pp.953-958
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    • 1997
  • Corrugation of railway track can be caused by the various dynamic behaviors of traveling wheels and track. In this paper, the coupled vibrations of traveling wheel and railway track are analyzed as the cause of corrugations. To analyze the coupled vibration, the track supported by the sleepers and the traveling wheels are identified to the elastically supported infinite beam and the spring-mass system which runs at constant speed. The Hertzian contact spring is considered between the infinite beam and spring-mass system are calculated. The cause and development of rail corrugation are discussed in the view point of contact force fluctuation affected by the elastic supports and the corrugated surface profile on the track. By the obtained results, the possibilities of resonance are checked between the excitation by the corrugated surface profile and the natural frequency of contact spring-mass system. It may be thought to a development of railway corrugation.

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The research of energy harvester's the wideband vibration system from bridge for wireless sensor applications (교량 무선센서 전원공급용 전자기를 이용한 광대역 에너지 하베스트의 진동시스템에 관한 연구)

  • Han, Ki-Bong;Shin, Dong-Chan;Kim, Young-Cheol
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.04a
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    • pp.819-824
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    • 2012
  • This paper presents the wideband vibration system of an electromagnetic vibration energy harvester that obtained electric power for wireless sensor applications from the ever-change vibrations of bridge. It is a system with two degree of freedom vibrations that are composed of two mass and two spring respectively. One system is housing mass and spring, the other is the magnetic mass and spring that is the vibration system construction's element of electromagnetic vibration energy harvester. In other words, it is called dynamic vibration absorber. This paper show that the ratio of housing mass to magnetic mass decides the bandwidth and the size of amplitude of magnetic mass in electromagnetic vibration energy harvester. Therefore, it is necessary to improve the efficiency of energy in electromagnetic vibration energy harvester for wireless sensor applications.

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Influence of Spring on The Absorption Performance of a Vertical Absorber Tube (수직 흡수전열관의 흡수성능에 미치는 스프링의 영향)

  • 김정국;조금남
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.10
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    • pp.825-832
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    • 2002
  • The present study investigated the enhancement of the absorption performance by the spring wrapped around the outer surface of the vertical falling film absorber tube. Heat and mass transfer enhancements were experimentally investigated, and flow visualization was performed to observe the wettability and flow pattern of the solution. The key experimental parameters were spring diameter (0.5, 1.0 mm) and spring pitch (1, 3, 10 mm), film Reynolds number (50~150), and concentration of LiBr-$H_2O$ solution (55, 60, 65 wt%). As the spring diameter was increased, the absorption mass flux, Sherwood number, Nusselt number, heat flux, and heat transfer coefficient were increased The Nusselt and Sherwood numbers showed the maximum at the spring pitch of 3mm, and the ratio of pitch to diameter of approximately 3 and 6 for the spring diamter of 0.5 mm, respectively.

압축하중을 받는 단순 코일 스프링에 관한 해석 결과 및 분석

  • Yun, Jong-Seon;Lee, Nam-Ju
    • Proceeding of EDISON Challenge
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    • 2015.03a
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    • pp.263-265
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    • 2015
  • In this paper, a coil spring of the suspension components of the car is calculated through FEM(Finite Element Method) when a portion of the one is applied by an external load. we analyze the situation by using 'Large Deformation Analysis SW' in the EDISON structural dynamics server. Results of the analysis are about a displacement of the upper spring after deformation and total mass, and we use them to calculate the spring constant and maximum von-Mises stress by using Hooke's law and von-Mises stress equation. Finally, we visualize the relationship between the calculated spring constant and the mass through graphs and this data are beneficial for industries related to the spring.

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Analytical Study on Vibrational Properties of Vibro-hammer (진동해머의 진동특성에 대한 해석적 연구)

  • Lee, Seung-Hyun;Kim, Eung-Seok;Yoon, Ki-Yong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.7
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    • pp.3577-3581
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    • 2013
  • In order to analyze a pile constructed by vibro-hammer, vibrational characteristics of vibro-hammer should be investigated first. Analytical studies were conducted in order to investigate vibrational properties of vibro-hammer. It is thought that the concept of acting the spring force to the pile head should be replaced by the concept of considering the lumped mass of the exciter and the pile. For the situation of free vibration, spring force increase with increase of spring constant and the amplitude is little affected by the spring constant. Also for the situation of free vibration, amplitude is inversely proportional to the increase of mass of the exciter and it can be seen that spring force increase with amplitude by the same ratio. It can be seen that directions of the spring force and displacement are opposite to that of rotating mass.

Dynamic Modeling of Bolt Joints Using Lumped Mass-Spring Model (집중 질량-스프링 모델을 이용한 볼트 결합부 모델링)

  • Go, Gang-Ho;Lee, Jang-Mu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.3
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    • pp.495-501
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    • 2001
  • In this paper, a new technique which models the joints characteristics through reduction of DOFs of structures with joints using component mode synthesis (CMS) method is proposed. Bolt joints are modeled by mass-spring systems. Also generalized mass and stiffness matrices for this models are introduced. Because bolt joints have influence on eigenvalues of structures, exact eigenvalues from modal test are used. The results show that the behaviors of structures with bolt joints depend to a large extent on the translational DOFs and not on rotational DOFs of mass and stiffness matrices of bolts. Furthermore it is confirmed that lumped mass-spring systems as models of bolt joints are effective models considering the facts that joint characteristics converged to constant values in some iterations and eignevalues from proposed method are in good agreement with ones from modal test.