• Title/Summary/Keyword: frequency equations

Search Result 1,508, Processing Time 0.029 seconds

A Study on The Design of Planer Comb-Line Bandpass Filter Using Equivalent Circuits of Asymmetrical Coupled Line (비대칭 결합선로 등가회로를 사용한 Comb-line 구조의 대역통과 여파기 설계)

  • Yun, Jae-Ho;Park, Jun-Seok;Kim, Hyeong-Seok
    • The Transactions of the Korean Institute of Electrical Engineers C
    • /
    • v.51 no.8
    • /
    • pp.368-374
    • /
    • 2002
  • In this paper, we introduce a procedure to obtain a equivalent circuit of comb-line band pass filter. By employing equivalent circuits of each asymmetrical coupled line. we composed the full equivalent circuit of comb-line bandpass filter and derived simple design equations for extracting each line's impedance. To show the validity of design equations, we simulated and fabricated a planar type comb-line bandpass filter, which has center frequency 1.8㎓, band-width 50㎒ and four resonators. The resulting filter is very compact, have broad stop band with the second pass band centered at four times the center frequency of the first pass band. The experimental results show exact performances of design specification.

Three-dimensional free vibration analysis of cylindrical shells with continuous grading reinforcement

  • Yas, M.H.;Garmsiri, K.
    • Steel and Composite Structures
    • /
    • v.10 no.4
    • /
    • pp.349-360
    • /
    • 2010
  • Three dimensional free vibrations analysis of functionally graded fiber reinforced cylindrical shell is presented, using differential quadrature method (DQM). The cylindrical shell is assumed to have continuous grading of fiber volume fraction in the radial direction. Suitable displacement functions are used to reduce the equilibrium equations to a set of coupled ordinary differential equations with variable coefficients, which can be solved by differential quadrature method to obtain natural frequencies. The main contribution of this work is presenting useful results for continuous grading of fiber reinforcement in the thickness direction of a cylindrical shell and comparison with similar discrete laminate composite ones. Results indicate that significant improvement is found in natural frequency of a functionally graded fiber reinforced cylinder due to the reduction in spatial mismatch of material properties and natural frequency.

Experimental Study on Crack Detection of Clamped-clamped Beams (양단 고정보의 크랙 검출에 대한 실험적 연구)

  • Son, In-Soo;Ahn, Sung-Jin;Yoon, Han-Ik
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.27 no.6
    • /
    • pp.47-54
    • /
    • 2010
  • In this paper, the purpose is to study a method for detection of crack in clamped-clamped beams using the vibration characteristics. The natural frequency of beam is obtained by FEM and experiment. The governing differential equations of a Timoshenko beam are derived via Hamilton's principle. The two coupled governing differential equations are reduced to one fourth order ordinary differential equation in terms of the flexural displacement. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The differences between the actual and predicted crack positions and sizes are less than 9.8% and 28%, respectively.

Motion analysis of a Translating Flexible Beam Carrying a Moving Mass (이동부하를 가지고 병진운동하는 유연보의 운동 해석)

  • Park, Sang-Deok;Chung, Wan-Kyun;Youm, Young-Il
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.16 no.11
    • /
    • pp.204-212
    • /
    • 1999
  • In this paper, the vibrational motion of a flexible beam clamped on a translating base and carrying a moving mass is investigated. The equations of motion which describe the total dynamics of the beam-mass-cart system are derived and the coupled dynamic equations are solved by unconstrained modal analysis. In modal analysis, the exact normal mode solutions corresponding to the eigenfrequencies for the position of the moving mass and the ratios of the mass of the flexible beam, the moving mass and the base cart are used. Proper transformations of the time solutions between the normal modes for a position and those for the next position of the moving mass are also adopted. Numerical simulations are carried out to obtain the open-loop responses of the system in tracking the pre-designed path of the moving mass.

  • PDF

Natural Frequency Analysis of an Extensible Curved Pipe Conveying Fluid (유체가 흐르는 인장 가능한 곡선관의 고유진동수 해석)

  • Jung, Du-Han;Chung, Jin-Tai
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2005.11a
    • /
    • pp.792-795
    • /
    • 2005
  • The vibration of a curved pipe conveying fluid is studied when the pipe is clamped at both ends. To consider the nonlinearity, this study adopts the Lagrange strain theory for large deformation and the extensible dynamics based on the Euler-Bemoulli beam theory for slenderness assumption. By using the Hamilton principle, the non-linear partial differential equations are derived. To investigate the dynamic characteristics of the system the discretized equations of motion are derived from the Galerkin method. The natural frequencies varying with the flow velocity are computed. From these results, we should consider the nonlinearity to analyze dynamics of a curved pipe conveying fluid more precisely.

  • PDF

A review of effects of partial dynamic loading on dynamic response of nonlocal functionally graded material beams

  • Ahmed, Ridha A.;Fenjan, Raad M.;Hamad, Luay Badr;Faleh, Nadhim M.
    • Advances in materials Research
    • /
    • v.9 no.1
    • /
    • pp.33-48
    • /
    • 2020
  • With the use of differential quadrature method (DQM), forced vibrations and resonance frequency analysis of functionally graded (FG) nano-size beams rested on elastic substrate have been studied utilizing a shear deformation refined beam theory which contains shear deformations influence needless of any correction coefficient. The nano-size beam is exposed to uniformly-type dynamical loads having partial length. The two parameters elastic substrate is consist of linear springs as well as shear coefficient. Gradation of each material property for nano-size beam has been defined in the context of Mori-Tanaka scheme. Governing equations for embedded refined FG nano-size beams exposed to dynamical load have been achieved by utilizing Eringen's nonlocal differential law and Hamilton's rule. Derived equations have solved via DQM based on simply supported-simply supported edge condition. It will be shown that forced vibrations properties and resonance frequency of embedded FG nano-size beam are prominently affected by material gradation, nonlocal field, substrate coefficients and load factors.

Prediction and assessment of nonlocal natural frequencies of DWCNTs: Vibration analysis

  • Asghar, Sehar;Naeem, Muhammad N.;Hussain, Muzamal;Taj, Muhammad;Tounsi, Abdelouahed
    • Computers and Concrete
    • /
    • v.25 no.2
    • /
    • pp.133-144
    • /
    • 2020
  • This paper aims to study vibration characteristics of chiral and zigzag double-walled carbon nanotubes entrenched on Donnell shell model. The Eringen's nonlocal elastic equations are being combined with Donnell shell theory to observe small scale response. Wave propagation is proposed technique to establish field equations of model subjected to four distinct end supports. A nonlocal model has been formulated to explore the frequency spectrum of both chiral and zigzag double-walled CNTs along with diversity of indices and nonlocal parameter. The significance of scale effect in relevance of length-to-diameter and thickness- to- radius ratios are discussed and displayed in detail. The numerical solution based on this nonlocal Donnell shell model can be further used to predict other frequency phenomena of double-walled and multi-walled CNTs.

Design Method for Negative Group Delay Circuits Based on Relations among Signal Attenuation, Group Delay, and Bandwidth

  • Na, Sehun;Jung, Youn-Kwon;Lee, Bomson
    • Journal of electromagnetic engineering and science
    • /
    • v.19 no.1
    • /
    • pp.56-63
    • /
    • 2019
  • Typical negative group delay circuits (NGDC) are analyzed in terms of signal attenuation, group delay, and bandwidth using S-parameters. By inverting these formulations, we derive and present the design equations (for NGD circuit elements) for a desired specification of the two among the three parameters. The proposed design method is validated through simulation examples for narrow- and wide-band pulse inputs in the time and frequency domains. Moreover, an NGDC composed of lumped elements is fabricated at 1 GHz for measurement. As a function of frequency, the circuit-/EM-simulated and measured group delays are in good agreement. The provided simple NGDC design equations may be useful for many applications that require compensations of some signal delays.

Stability analysis of the ball after contacting with the earth in the volleyball game: A multi-physics simulation

  • Yang Sun;Yuhan Lin;Yuehong Ma
    • Structural Engineering and Mechanics
    • /
    • v.85 no.6
    • /
    • pp.809-823
    • /
    • 2023
  • In this work, dynamic stability analysis of the ball after contacting with the earth in the volleyball game is presented. Via spherical shell coordinate, the governing equations and general boundary conditions of the ball after contacting with the earth in the volleyball game is studied. Via Comsol multi-physics simulation, some results are presented and a verification between the outcomes is studied. Harmonic differential quadrature method (HDQM) is utilized to solve the dynamic equations with the aid of boundary nodes of the current spherical shell structure. Finally, the results demonstrated that thickness, mass of the ball and internal pressure of the ball alters the frequency response of the structure. One important results of this study is influence of the internal pressure. Higher internal pressure causes lower frequency and hence reduces the stability of the ball.

Operating analysis of linear type magnetic flux pump

  • Chung, Y.D.;Yang, S.E.;Ko, T.K.
    • Progress in Superconductivity and Cryogenics
    • /
    • v.11 no.2
    • /
    • pp.20-24
    • /
    • 2009
  • In order to explain the operating characteristics of LTMFP in a wide range of driving frequency, an analytical equation that takes into account the detailed behavior of the normal spot is necessary. In this paper, based on the phenomenon of magnetic diffusion of the superconductor we modified the theoretical equations for pumping action in LTMFP. The modified equations explained well the pumping actions under the different load magnets. These results are important to explain the pumping tendency of the LTMFP according to driving frequency.