• Title/Summary/Keyword: Vibration Equation

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Transverse Vibration of ATM Crown belt (ATM용 크라운벨트의 횡진동 해석)

  • Son, Young-Boo;Choi, Yeon-Sun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.1212-1217
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    • 2007
  • ATM(automated teller machine) is a machine which can deposit and withdraw money directly. For effective transfer of bills in the machine, crown belts are used. In this paper, the transverse vibration of crown belt is investigated. The equation of motion of the belt is derived using Lagrange's equation. Galerkin's method is applied to convert the partial differential equation to the ordinary differential equations. Experimental investigations are performed on the belt system with the variation of pulley type, eccentricity, and tension. The results of numerical analysis show in good agreement with the experimental results.

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Vibration Characteristics of a 1-3 Piezoelectric Composite Arrayed on a Cylindrical Surface (원통면에 배열된 1-3 압전 복합체의 진동 특성)

  • Kim, Dae-Seung;Kim, Jin-Oh
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.93-96
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    • 2007
  • This paper presents a theoretical approach to describe the vibration characteristics in the 1-3 piezoelectric composite arrayed on a cylindrical surface. By homogenizing the composite composed of a piezoelectric ceramic and a polymer the physically useful parameters were defined and then used to derive the governing equation of radial motion for the cylindrical 1-3 piezoelectric composite. Applying mechanical and electric boundary conditions has yielded a characteristic equation for radial vibration of the composite. Theoretical calculations of the resonance frequency have been compared with those obtained by the finite-element analysis and have shown a good agreement.

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Vibration Analysis of an Axially Moving Membrane with In-Plane/out-of-Plane Deformations (면내/면외변형을 고려한 이송되는 박막의 진동해석)

  • 신창호;정진태
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.164-168
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    • 2004
  • The vibration analysis of an axially moving membrane are investigated when the membrane has the two sets of in-plane boundary conditions, which are free and fixed constraints in the lateral direction. Since the in-plane stiffness is much higher than the out-of-plane stiffness, it is assumed during deriving the equations of motion that the in-plane motion is in a steady state. Under this assumption. the equation of out-of\ulcornerplane motion is derived, which is a linear partial differential equation influenced by the in-plane stress distributions. After discretizing the equation by using the Galerkin method, the natural frequencies and mode shapes are computed. In particular, we put a focus on analyzing the effects of the in-plane boundary conditions on the natural frequencies and mode shapes of the moving membrane.

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Vibration Analysis of an Axially Moving Membrane with In-plane/Out-of-plane Deformations (면내/면외변형을 고려한 이송되는 박막의 진동해석)

  • Shin Changho;Chung Jintai
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.9 s.90
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    • pp.910-918
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    • 2004
  • The vibration analysis of an axially moving membrane are investigated when the membrane has the two sets of in-plane boundary conditions, which are free and fixed constraints in the lateral direction. Since the in-plane stiffness is much higher than the out-of-plane stiffness, it is assumed during deriving the equations of motion that the in-plane motion is in a steady state. Under this assumption, the equation of out-of-plane motion is derived, which is a linear partial differential equation influenced by the in-plane stress distributions. After discretizing the equation by using the Galerkin method, the natural frequencies and mode shapes are computed. In particular, we put a focus on analyzing the effects of the in-plane boundary conditions on the natural frequencies and mode shapes of the moving membrane.

Uniform metal droplet generation using laser (레이저를 이용한 균일 금속 액적 생성)

  • 강대현;양영수;김용욱;조성규;박성민
    • Laser Solutions
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    • v.5 no.1
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    • pp.23-31
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    • 2002
  • The uniform metal droplet generation using Nd-YAG laser was studied and experiment was carried out. The shape and volume of developed droplet was measured and the Young-Laplace equation and equilibrium condition of force were applied this model. The differential equation predicting shape of droplet using equilibrium condition of force instead of Navier-stokes equation was induced and numerical solution of differential equation compared with experimentation data. The differential equation was solved by Runge-Kutta method. Surface tension coefficient of droplet was determined with numerical solution relate to experimental result under the statical condition. In case of dynamic vibration, metal droplet shape and detaching critical volume are predicted by recalculating proposed model. The result revealed that this model could reasonably describe the behavior of molten metal droplet on vibration.

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Validity of the Attenuation Equation of MOCT Guide Line for Surface Rock Blasting (암발파 잠정지침 발파진동 추정식의 타당성)

  • Choi Mi-Jin;Yang Hyung-Sik
    • Tunnel and Underground Space
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    • v.16 no.2 s.61
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    • pp.189-193
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    • 2006
  • Guide line for rock blasting design of the MOCT(Ministry of Construction and Transportation) adopts attenuation equation of du Pont company for blasting vibration. In this paper the validity of the equation is studied by comparing with several equations of Dowding, Devine and author's induced from the domestic vibration data. The equation is inadequately used and predicted values are proved to be underestimated and causes vibration problems.

Forced Vibration Analysis of Multi-Layered Damped Sandwich Beam (샌드위치형 다층 감쇠보의 강제진동 응답 해석)

  • Won, Sung-Gyu;Jung, Weui-Bong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.608-611
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    • 2005
  • In this paper the general equation of motion of damped sandwich beam including arbitrary viscoelastic material layer was derived based on the equation presented by Mead and Markus. The equation of motion of n-layered sandwich beam was represented by (n+3)th order ordinary differential equation. It was verified that the general equation of motion derived in this paper could represent the equations of motions for single-layered, three-layered, five-layered and multi-layered damped beam. Finite element method for the arbitrary-layered damped beam was formulated and programmed using higher order shape functions. Several numerical examples were implemented to show the effects of damped material.

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Design of Connecting Part of Linear Compressor to Reduce the Vibration level of 60Hz (선형 압축기의 60Hz 진동저감을 위한 연결부 특성의 설계변경 해석)

  • Jeon, Soo-Hong;Jeong, Weui-Bong;Won, Seong-Gyu;Lee, Hyo-Jae
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.1360-1365
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    • 2007
  • A linear compressor used in a refrigerator has higher energy efficiency than other compressors. On the other hand, its vibration level has still been much severe. Changing the characteristics of connecting parts may reduce the vibration level of linear compressor. The piston, body and shell are assumed to be rigid. These rigid bodies are connected by coil springs and flexible loop pipe. This paper derived the mathematical model by combining the equation of motion of rigid parts and flexible parts. The variation of vibration level according to the change of connecting parts was investigated.

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Vibration Analysis of a Multi-Stage Rotating Shaft Shape (다단 회전축계 형상의 진동 연구)

  • Song, OhSeop;Park, Sangyun;Kang, Sunghwan;Seo, Jungseok;Kim, Sunhong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.10a
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    • pp.730-735
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    • 2013
  • This paper contains various vibration analysis of multi-stage shaft shape such as the bending, torsional and axial vibration. The shaft system is modeled as Timoshenko beam with the transverse shear and rotary inertia effect and the equation of motion is derived by Hamilton's principle with considering clamped-free boundary condition. Then, eigenvalue problem of discrete equation of motion for multi-stage shaft model is solved and got results of the natural frequency through the numerical analysis. Obtained numerical analysis results through Matlab program were compared with those of FEM analysis to verify the results. This study suggests that design of shaft system be consider torsional and axial vibration as well as bending vibration.

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