• Title/Summary/Keyword: approximate frequency

Search Result 286, Processing Time 0.024 seconds

A Study on Turbulent Characteristics of Turbulent Pulsating Flows in a Square Duct (4각 덕트내에서 난류 맥동유동의 난류특성에 관한 연구)

  • Park, G.M.;Go, Y.H.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.2 no.3
    • /
    • pp.188-198
    • /
    • 1990
  • Turbulent characteristics of turbulent pulsating flows were studied experimentally in a square duct. Velocity waveforms, velocity profiles, and turbulent intensity of turbulent pulsating flow were investigated by using a hot-wire anemometer with data acquisition and a processing system in a square duct with a ratio of 1 ($40mm{\times}40mm$) to 4,000mm long. Turbulent components were shown to be larger in decelerating than in accelerating regions and also larger for a large phase of velocity and U'rms distribution of turbulent flow. The effect of velocity amplitude ratio does not exist for specified time [${\theta}(z^{\prime})$], amplitude ratio (${\mid}U^{\prime}_{rms.os.1}{\mid}/{\mid}U_{m.os.1}{\mid}$), and phase difference (${\Delta}U^{\prime}_{rms.os.1}-{\Delta}U_{m.os.1}$) in either turbulent oscillating or cross-sectional mean velocity components. The effect of dimensionless angular frequency for specified time [${\theta}(z^{\prime})$] can be disregarded because the dimensionless angular frequency does not affect the specified time. The velocity distributions of turbulent pulsating flows for various time-averaged Reynolds numbers are in approximate agreement with the velocity distributions for equivalent Reynolds numbers and 1/7th power law of steady flow.

  • PDF

A Study on the Nonlinear Motion of a Vertical Liquid Jet (수직하방 분사된 주의 비선형 거동에 관한 연구)

  • Seok, Ji-Gwon;Jeong, Hwan-Mun;Mun, Su-Yeon;Lee, Chung-Won
    • Transactions of the Korean Society of Mechanical Engineers B
    • /
    • v.26 no.1
    • /
    • pp.45-54
    • /
    • 2002
  • The breakup phenomena of a vertical laminar jet issuing from capillary tubes in a quiescent ambient air are investigated using a forced vibration analysis of the surface wave. Using a linear approach to the transient jet velocity, an approximate solution fur the longitudinal motion of a vertical liquid jet is theoretically derived, thus performing an instability analysis by a vibration method. The damping term of this equation is nonlinear as it depends on dimensionless parameters, a Weber number, and an Ohnesorge number. The instability condition is determined based on whether the coefficient of the damping term is less than zero or not. Uniform drop formation is dependent on the vibration frequency fur the forced vibration case.

Three-Dimensional Effects on Added Masses of Ship-Like Forms for Higher Harmonic Modes

  • Y.K.,Chon
    • Bulletin of the Society of Naval Architects of Korea
    • /
    • v.25 no.2
    • /
    • pp.19-30
    • /
    • 1988
  • Sectional added masses of an elastic beam vibrating vertically on the free surface in higher harmonic modes are evaluated. Hydrodynamic interactions between neighboring sections, which strip theory ignores, are considered for modal wave lengths of the order of magnitude of cross-sectional dimensions of the body. An approximate solution of modified Helmholtz equation which becomes a singular perturbation problem at small wave lengths is secured to get an analytic expression for added masses attending higher harmonic modes. As a bound of the present theory, the modified Helmholtz equation is solved for the long flat plate vibrating at high frequency on the water surface without any limitations on modal frequency. Finally, extensive series of numerical calculations are carried out for ship-like forms. It is found that when modal wave length is comparable to or shorter than a typical cross-sectional dimension of a body, sectional interaction effects are large which result in considerable reductions in added masses. For a fuller section, the ratio of added mass reduction is greater. In the limit of vanishing sectional area, the added masses approach to that of flat plate of equal beam. It is shown that the added mass distribution for a Legendre modal from can be determined form the present theory and that the results agree with the extensive three-dimensional determination of Vorus and Hilarides.

  • PDF

An equivalent linearization method for nonlinear systems under nonstationary random excitations using orthogonal functions

  • Younespour, Amir;Cheng, Shaohong;Ghaffarzadeh, Hosein
    • Structural Engineering and Mechanics
    • /
    • v.66 no.1
    • /
    • pp.139-149
    • /
    • 2018
  • Many practical engineering problems are associated with nonlinear systems subjected to nonstationary random excitations. Equivalent linearization methods are commonly used to seek for approximate solutions to this kind of problems. Compared to various approaches developed in the frequency and mixed time-frequency domains, though directly solving the system equation of motion in the time domain would improve computation efficiency, only limited studies are available. Considering the fact that the orthogonal functions have been widely used to effectively improve the accuracy of the approximated responses and reduce the computational cost in various engineering applications, an orthogonal-function-based equivalent linearization method in the time domain has been proposed in the current paper for nonlinear systems subjected to nonstationary random excitations. In the numerical examples, the proposed approach is applied to a SDOF system with a set-up spring and a SDOF Duffing oscillator subjected to stationary and nonstationary excitations. In addition, its applicability to nonlinear MDOF systems is examined by a 3DOF Duffing system subjected to nonstationary excitation. Results show that the proposed method can accurately predict the nonlinear system response and the formulation of the proposed approach allows it to be capable of handling any general type of nonstationary random excitations, such as the seismic load.

The Identification of Load Characteristic using Artificial Neural Network for Load Modeline (부하모델을 위한 신경회로망을 이용한 부하특성 식별)

  • 임재윤;김태응;이종필;지평식;남상천;김정훈
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.12 no.1
    • /
    • pp.103-110
    • /
    • 1998
  • The modeling of load characteristics is a difficult problem because of uncertainty of load. This research uses artificial neural networks which can approximate nonlinear problem to represent load characteristics. After the selection of typical load, active and reactive power for the variation of voltage and frequency is obtained from experiments. We constructed and learned ANN based on these data for component load identification. The learned ANN identified load characteristics for other voltage and/or frequency variation. In addition, the results of component load identification are presented to demonstrate the potentiality of the proposed method.method.

  • PDF

A response surface modelling approach for multi-objective optimization of composite plates

  • Kalita, Kanak;Dey, Partha;Joshi, Milan;Haldar, Salil
    • Steel and Composite Structures
    • /
    • v.32 no.4
    • /
    • pp.455-466
    • /
    • 2019
  • Despite the rapid advancement in computing resources, many real-life design and optimization problems in structural engineering involve huge computation costs. To counter such challenges, approximate models are often used as surrogates for the highly accurate but time intensive finite element models. In this paper, surrogates for first-order shear deformation based finite element models are built using a polynomial regression approach. Using statistical techniques like Box-Cox transformation and ANOVA, the effectiveness of the surrogates is enhanced. The accuracy of the surrogate models is evaluated using statistical metrics like $R^2$, $R^2{_{adj}}$, $R^2{_{pred}}$ and $Q^2{_{F3}}$. By combining these surrogates with nature-inspired multi-criteria decision-making algorithms, namely multi-objective genetic algorithm (MOGA) and multi-objective particle swarm optimization (MOPSO), the optimal combination of various design variables to simultaneously maximize fundamental frequency and frequency separation is predicted. It is seen that the proposed approach is simple, effective and good at inexpensively producing a host of optimal solutions.

Analytical nonlocal elasticity solution and ANN approximate for free vibration response of layered carbon nanotube reinforced composite beams

  • Emrah Madenci;Saban Gulcu;Kada Draiche
    • Advances in nano research
    • /
    • v.16 no.3
    • /
    • pp.251-263
    • /
    • 2024
  • This article investigates the free vibration behavior of carbon nanotube reinforced composite (CNTRC) beams embedded using variational analytical methods and artificial neural networks (ANN). The material properties of layered functionally graded CNTRC (FG-CNTRC) beams are estimated using nonlocal parameters modified power-law with different types of CNT distributions through the thickness direction of the beam. Adopting Eringen's nonlocal elasticity theory to capture the small size effects, the nonlocal governing equations are derived and solved using the analytical method. And also, the problem was analyzed using the ANN method. The architecture of the proposed ANN model is 3-9-1. In the experiments, we used 112 different data to predict the natural frequency using ANN. Based on the nonlocal differential constitutive relations of Eringen, the equations of motion as well as the boundary conditions of the beam are derived using Hamilton's principle. The classical beam theory is used to formulate a governing equation for predicting the free vibration of laminated CNTRC beams. According to the experimental results, the prediction ability of the ANN model is very good and the natural frequency can be predicted in ANN without attempting any experiments.

Design and Fabrication of Microstrip Patch Antenna with T-shaped Slits for GPS (T형 슬릿을 갖는 GPS 수신용 마이크로스트립 패치 안테나 설계 및 제작)

  • Lee Eun-Jin;Lee Kwoun-Ig;Kim Heung-Soo
    • Journal of the Institute of Electronics Engineers of Korea TC
    • /
    • v.43 no.5 s.347
    • /
    • pp.169-175
    • /
    • 2006
  • In this paper, a microstrip patch antenna with the T-shaped slits is designed and fabricated for GPS. The resonant frequency of the microstrip patch antenna with the slits is lower than that of a microstrip patch antenna without the slits so it can be reduced the size of patch. In order to calculate resonant frequency of the microstrip patch antenna with the slits, the resonant frequency formulas are derived from the surface current distribution on microstrip patch antenna. Using the Ensemble 6.0 simulation tool, the accuracy of approximate equations is verified. The microstrip patch antenna with the slits is designed by using these equations. The size of the designed antenna with T-shaped slits can be reduced to 29% compared with that without the slits. The microstrip patch antenna with slits have a very narrow bandwidth. In order to improve the narrow bandwidth of microstrip patch antennas with the slits, a microstrip patch antenna with rectangular slot is proposed. As the result of the measurements, the resonant frequency of the proposed microstrip patch antenna with the T-shaped slits is 1.575GHz and the bandwidth is about 50MHz.

Optimal circuit desgn Taking into Account The frquency dependence of coil's Q (자심코일의 Q의 주파수특성을 고려한 회로의 최적화설계)

  • 박송배
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.11 no.4
    • /
    • pp.23-28
    • /
    • 1974
  • One of the consistent nuisances in accurate design of circuits containing coils with core is how to take into account the frequency dependence of Q of actual coils. The conventional equivalent circuit consisting of an inductance and a series (constant) resistance and possibly a parallel (constant) capacitance is of little use in this situation since the core loss itself is strongly dependent on the frequency. In order to circumvent this difficulty, in this paper, a mathematical expression for Q of a given core as a function of inductance and frequency is first assumed and parameters in this expression are optimiged so as to best fit the data provided by the core manufacturer or obtained experimentally. This expression is then utilized in accurate calculation of the frequency response of a given circuit required in the optimal design of circuits containing coils. In other words the proposed approach is an effective combination of an approximate expression of coil's Q and circuit optimisation technique, which seems to have solved, to a great extent, the stated difficulty associated with actual coils. As for the optimization technique, ths Fletcher-Powell procedure was employed and one example was given to illustrate the proposed approach.

  • PDF

Optimal Design of a 2-D Quadrature Polar Separable Filter (2차원 Quadrature Polar Separable 필터의 최적 설계)

  • 박종안;박승진
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.16 no.5
    • /
    • pp.434-444
    • /
    • 1991
  • An improved 2-D quadrature polar separable (QPS) filter and its applications to texture processing are discussed in thie paper. The frequency response of the filter consists of two independent parts. The first is a radial weighting function based on the prolate spheridal sequence(PSS). The second is the same orientational function of the angle as in the Knutsson filter. The new filter is suboptimal in the energy loss because we let the polar angle function approximate the radial weighting function as in the 2-D Cartesian filter composed of two PSS's. It is easy to control as it depends only upon the design specification of the bandwidth, the drectional agnle, and the central freqneucy. Also the filter is circularly more symmetric in the frequency domain than the Knutsson filter. In order to estimate the orientation and the frequency component of loca textures in the frequency domain, some applications of the new filter, such as the generation of synthetic textures, the estimation of texture orientations, and texture segementations, are discussed.

  • PDF