• Title/Summary/Keyword: Sinusoidal vibration

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Flexural Vibration of a Plate with Periodically Nonuniform Material Properties (주기적 불균일 재질 평판의 굽힘 진동 해석)

  • Kim, Jin-O.;Moon, Byung-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.737-742
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    • 2000
  • The paper describes a theoretical study on the flexural vibration of an elastic rectangular plate with periodically nonuniform material properties. The approximate solution of the natural frequency and mode shape has been obtained using the perturbation technique for sinusoidal modulation of the flexural rigidity and mass density. It has been shown that distributed modes exist in the plate which is a two-dimensional model of the flat panel speaker.

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A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates

  • Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Bessaim, Aicha;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.22 no.2
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    • pp.257-276
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    • 2016
  • In this paper, a new simple higher-order shear deformation theory for bending and free vibration analysis of functionally graded (FG) plates is developed. The significant feature of this formulation is that, in addition to including a sinusoidal variation of transverse shear strains through the thickness of the plate, it deals with only three unknowns as the classical plate theory (CPT), instead of five as in the well-known first shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). A shear correction factor is, therefore, not required. Equations of motion are derived from Hamilton's principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The accuracy of the present solutions is verified by comparing the obtained results with those predicted by classical theory, first-order shear deformation theory, and higher-order shear deformation theory. Verification studies show that the proposed theory is not only accurate and simple in solving the bending and free vibration behaviours of FG plates, but also comparable with the other higher-order shear deformation theories which contain more number of unknowns.

A study on the Flux Feedback Approach for the Rejection of Dynamic Disturbance Forces in a Magnetically Suspended System (자기력 부상 시스템에서 외란 제거를 위한 자속 궤환 방식에 관한 연구)

  • Lee, Jun-Ho;Shin, Kyeong-Ho;Lee, Kang-Mi;Kim, Bak-Hyun;Kim, Jong-Ki;Kim, Yong-Kyu
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.1212-1217
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    • 2006
  • This study is concerned with static and sinusoidal disturbance rejection for a single periodic input disturbance with known period. In the area of active elimination of a disturbance force, the control input should have two different kinds of gains: one is to deliver a stable control and the other is a force component to cancel the external disturbance force. In this paper we employ a simple state feedback control law to make the balance beam stable and employ a linear observer to estimate the states which represent the external disturbance force components. Simulation results verify our proposed control method to reject a static and sinusoidal disturbance force.

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A study on Sinusoidal Phase Modulating interferometer using laser diode (레이저 다이오드를 이용한 정현적 위상변조 간섭계에 대한 연구)

  • Pyo K.Y.;Park N.G.;Lee G.Y.;Kang Y.J.;Kim K.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.926-929
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    • 2005
  • Recently, laser interferometer is widely used as a measuring system in many fields because of its high resolution and its ability to measure a board area in real-time ail at once. In conventional laser interferometer, for examples Out of plane ESPI, In plane ESPI, Shearography and Holography, it uses PZT or other components as a phase shift instrumentation to extract 3-D deformation data, vibration mode and others. However, in most cases PZT has some disadvantages, which include noli-linear errors and limited time of use. In present study, a new type of laser interferometer using a laser diode(LD) is proposed. Using Laser Diode Sinusoidal Phase Modulating(LD-SPM) interferometer, the phase modulation can be directly modulated by controlling the LD injection current thereby eliminating the need for PZT components.

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EFFECT OF VIBRATION ON LUMBAR SPINE MECHANICS (유한요소법을 이용한 진동요소의 요추에 미치는 영향해석)

  • Park, Ho-Sang
    • Proceedings of the KOSOMBE Conference
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    • v.1991 no.11
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    • pp.103-106
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    • 1991
  • A three-dimensional finite element model of a ligamentous two motion segments (L4-S1) was developed to investigate its dynamic response. A number of parameters like the intradiscal pressure, forces in ligaments. and across facet joints in response to a sinusoidal axial compression force (-360 N to -440 N at 5 Hz) were predicted. The increase in the parameters varied from 12% to as high as 50% in comparison to response for a static load of 400 N. The predicted parameters also revealed a distortion and a phase shift in comparison to the applied sinusoidal signal. These changes may lead to degenerative changes seen clinically in persons exposed to a chronic vibration environment over time.

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Report on the Research of ISO/WD 18233 - Application of new measurement methods in building acoustics (ISO/WD 18233 - 건축음향에서의 새로운 측정방법의 적용)

  • Kook, Chan;Kim, Sun-Woo;Rindel, J.H.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.851-856
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    • 2003
  • The study on the new measurement method of room acoustics is now in process in the ISO TC43/SC2/WG24 New standard(WD 18233) is dealing with the MLS, swept sinusoidal signal and impulse. This working group is composed of more than 20 specialists in 10 countries and the convener is professor J.H.Rindel in technical university of Denmark. The meeting of WG24 was held in the DIN, Berlin at 23rd. this september and the results was sent to the secretary of ISO TC43/SC2 for the circulation. Brief information of ISO/WD18233 and the result of this meeting is given here.

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Design of a Robust Track-following Controller with Multiple Constraints (다중 제한 조건을 고려한 강인 트랙 추종 제어기의 설계)

  • Jin Kyoun Bog;Kim Jin-Soo;Lee Moon-Noh
    • 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.827-836
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    • 2004
  • In this paper, we design a robust multi-objective track-following controller that satisfies transient response specifications and diminishes the influence of sinusoidal disturbance. To this end, a robust control problem with the multiple constraints is considered. We show that a sufficient condition satisfying the robust control problem can be expressed by linear matrix inequalities. Finally, the robust track-following controller can be designed by solving an LMI optimization problem. The effectiveness of the proposed controller design method is verified though experiments.

The Behavior of Dry Sand under Dynamic Loading -A Study on the Vertical Vibration (건조사질토의 동적거동 -수직진동에 의한 연구)

  • Kim, Su-Il;Jeong, Sang-Seom;An, Yeong-Hun
    • Geotechnical Engineering
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    • v.11 no.4
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    • pp.37-48
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    • 1995
  • The dynamic behavior of dry sand under different vibration conditions is studied through laboratory experiments. Sinusoidal and random vibration experiments of sand are carried out in vertical direction under various surcharge loads. Five different sand samples are selected for the azperiment. They are composed of four different -size samples of particles and one sample which is simulated the field condition. In case of sinusoidal vibration, the change in relative density is measured with acceleration levels. To produce an acceleration, the vibration amplitude is maintained within the range of 0.4mm~0.6mm and the vibration frequency is changed within the range of 3Hz~40Hz. In case of random vibration, the combined sinusoidal acceleration is produced by a random vibration generator and the change in relative density is measured by an accelerometer. Based on the experimental results, it is found that the sandy soil is compacted to 94%~99% of relative density by vertical acceleration and the peak acceleration producing the maximum relative density is proportional to the difference between maximum and minimum void ratios. It is also found that the effect of surcharge loading : the greater the surcharge loading, the larger the change in relative density and the greater the acceleration required to change the relative density.

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Free vibration of tapered arches made of axially functionally graded materials

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • v.45 no.4
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    • pp.569-594
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    • 2013
  • The free vibration of axially functionally graded tapered arches including shear deformation and rotatory inertia are studied through solving the governing differential equation of motion. Numerical results are presented for circular, parabolic, catenary, elliptic and sinusoidal arches with hinged-hinged, hinged-clamped and clamped-clamped end restraints. In this study Differential Quadrature element of lowest order (DQEL) or Lagrangian Interpolation technique is applied to solve the problems. Three general taper types for rectangular section are considered. The lowest four natural frequencies are calculated and compared with the published results.

Forced vibration of nanorods using nonlocal elasticity

  • Aydogdu, Metin;Arda, Mustafa
    • Advances in nano research
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    • v.4 no.4
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    • pp.265-279
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    • 2016
  • Present study interests with the longitudinal forced vibration of nanorods. The nonlocal elasticity theory of Eringen is used in modeling of nanorods. Uniform, linear and sinusoidal axial loads are considered. Dynamic displacements are obtained for nanorods with different geometrical properties, boundary conditions and nonlocal parameters. The nonlocal effect increases dynamic displacement and frequency when compared with local elasticity theory. Present results can be useful for modeling of the axial nanomotors and nanoelectromechanical systems.