• Title/Summary/Keyword: Kirchhoff model

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Numerical Modeling and Experimental Verification for Target Strength of Submerged Objects (수중물체에 대한 음향 표적강도의 수치해석과 실험적 검증)

  • CHOI YOUNG-HO;SHIN KEE-CHUL;YOU JIN-SU;KIM JEA-SOO;JOO WON-HO;KIM YOUNG-HYUN;PARK JONG-HYUN;CHOI SANG-MUN;KIM WOO-SHIK
    • Journal of Ocean Engineering and Technology
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    • v.19 no.1 s.62
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    • pp.64-70
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    • 2005
  • Target Strength(TS) is an important factor for the detection of the target in an active sonar system: thus the numerical model for the prediction of TS is widely being developed. For the frequency range of several kHz, the most important scattering mechanism is known to be specular reflection, which is largely affected by the geometrical shape of the target. In this paper, a numerical algorithm to predict TS is developed based on the Kirchhoff approximation which is computationally efficient. The developed algorithm is applied to the canonical targets of simple shapes, for which the analytical solutions exist. The numerical results show good agreement with the analytical solutions. Also, the algorithm is applied to more complex scatterers, and is compared with the experimental data obtained in the water tank experiment for the purpose of verifying the developed numerical model. Discussions on the effect of spatial sampling and other aspects of numerical m odeling are presented.

Sound Radiation from Vibrating Bridges subjuct to Moving Vehicles (주행차량에 의한 교량의 동적거동과 음향방사특성)

  • 김상효;이용선;장원석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.45-51
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    • 2002
  • An acoustic finite element model of a bridge is developed to evaluate the noise generated by the traffic-induced vibration of the bridge. The dynamic response of a multi-girder bridge, modeled by a 3-dimensional frame element model, is analyzed with a 3-axle 8 DOFs truck model and a 5-axle 13 DOFs semi-trailer. The flat plate element is used to analyze the acoustic pressure due to the fluid-structure interactions between the vibrating surface and contiguous acoustic fluid medium. The radiation fields of noise with a specified distribution of vibrating velocity and pressure on the structural surface are also computed using the Kirchhoff-Helmholtz integral. Although the noise produced by the bridge vibration is not serious in itself, which is below the audible frequency range, it should be considered as an interaction problem between vehicle noise and bridge vibration noise in order to evaluate the traffic noise around the bridge.

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A Study of Hierarchical Models for the Optimal Analysis of Thin Elastic Structures (박판 탄성구조물의 최적해석을 위한 계층적 모델에 관한 연구)

  • Jo, Jin-Rae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.6
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    • pp.933-941
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    • 1997
  • In the analysis of thin elastic structures such as plate and shell-like structures, classical lower-order theories like Kirchhoff and Reissner-Mindin theories are insufficient to describe the behavior of such structures in the region where the state of stresses is complex. On the other hand, the fully three dimensional theory of linear elasticity can provide desired analysis accuracy, but requires expensive computational implementation compared to the classical theories. This paper is concerned with the development of hierarchical models for elastic structures which can be used for hierarchical modeling for the analysis of such structures. Derivation and limit model analysis (when the thickness of structures tends to zero) of hierarchical models are presented together with a introduction of modeling error estimation. Also, numerical results supporting theoretical results are given.

Fish length dependance of acoustic target strength for large yellow croaker (부세에 대한 음향반사강도의 체장 의존성)

  • 강희영;이대재
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.39 no.3
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    • pp.239-248
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    • 2003
  • This paper was conducted as an attempt in order to construct the data bank of target strength for acoustic estimation of fish length in the coastal waters of Korea. The fish length dependence of acoustic target strength for 13 large yellow croakers (Pseudosciaena crocea) at 75 kHz was investigated and the prediction of the target strength by using the Kirchhoff-Ray Mode model (KRM model) was compared with target strength measurements. The results obtained are summarized as follows; 1. In the averaged target strength pattern for 13 large yellow croakers the maximum target strength was -35.13 dB at $-13.35^{\circ}$ on a tilted angle. 2. The relationship between fork length(L, cm) and averaged target strength(TS, dB) was expressed as follows; TS=23. 76log (L) -73.45 (r=0.47) TS=20log(L) -67.35 From this result, the conversion coefficient was -73.45 dB and 6.1 dB lower than the coefficient -67.35 dB where the value of the slope of the regression equation is forced to be 20. 3. Averaged target strength and a length conversion coefficient derived from a target strength histogram for 13 large yellow croakers of mean length 25.59 cm were -41.23 dB, -69.72 dB, respectively. 4. In the range of $$2;{\ll} L (fish length /{\lambda}(wave length);{\ll}40$$, the prediction of the averaged target strength by the KRM model increased gradually with the increasing of $L/{\lambda}$ and was lower than the measured target strength.

Numerical Research about Asymmetric Growth of Cancer, Angiogenesis and Hemodynamics (암의 비대칭적 성장, 혈관생성 및 혈류역학에 대한 수치적 연구)

  • Kim, Y.S.;Shim, E.B.
    • Proceedings of the KSME Conference
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    • 2007.05b
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    • pp.2951-2954
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    • 2007
  • Tumor hemodynamics in vascular state is numerically simulated using pressure node solution. The tumor angiogenesis pattern in our previous study is used for the geometry of vessel networks. For tumor angiogenesis, the equation that governed angiogenesis comprises a tumor angiogenesis factor (TAF) conservation equation in time and space, which is solved numerically using the Galerkin finite element method. A stochastic process model is used to simulate vessel formation and vessel. In this study, we use a two-dimensional model with planar vessel structure. Hemodynamics in vessel is assumed as incompressible steady flow with Newtonian fluid properties. In parent vessel, arterial pressure is assigned as a boundary condition whereas a constant terminal pressure is specified in tumor inside. Kirchhoff's law is applied to each pressure node to simulate the pressure distribution in vessel networks. Transient pressure distribution along with angiogenesis pattern is presented to investigate the effect of tumor growth in tumor hemodynamics.

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Underwater Acoustic Communication Channel Modeling Regarding Magnitude Fluctuation Based on Ocean Surface Scattering Theory and BELLHOP Ray Model and Its Application to Passive Time-reversal Communication (해수면에 의한 신호 응답 강도의 시변동성 특성이 적용된 벨홉 기반의 수중음향 통신 채널 모델링 및 수동 시역전 통신 응용)

  • Kim, Joonsuk;Koh, Il-Suek;Lee, Yongshik
    • The Journal of the Acoustical Society of Korea
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    • v.32 no.2
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    • pp.116-123
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    • 2013
  • This paper represents generation of time-varying underwater acoustic channels by performing scattering simulation with time-varying ocean surface and Kirchhoff approximation. In order to estimate the time-varying ocean surface, 1D Pierson-Moskowitz ocean power spectrum and Gaussian correlation function were used. The computed scattering coefficients are applied to the amplitudes of each impulse of BELLHOP simulation result. The scattering coefficients are then compared with measured doppler spectral density of signal components which were scattered from ocean surface and the correlation time used in the Gaussian correlation function was estimated by the comparison. Finally, bit-error-rate and channel correlation simulations were performed with the generated time-varying channel based on passive time-reversal communication scenario.

Calculation of the ultrasonic radiation force acting on a rigid circular cone and the study on the metrology for the acoustic power measurement (강체원뿔표적에 대한 초음파 방사힘 계산과 음향파워측정모델에 관한 연구)

  • Kyungmin Baik;Jooho Lee;Elmina B. C. Fritzie;Yong Tae Kim
    • The Journal of the Acoustical Society of Korea
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    • v.43 no.3
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    • pp.335-343
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    • 2024
  • This paper came up with the theoretical modelling of the metrology for the acoustic power using ultrasonic radiation force and showed some theoretical results. In order to do this, a scattering model for a rigid circular cone based upon the Kirchhoff approximation was made, which was followed by the calculation of acoustic power, and then, was converted to the radiation force. From these works, it provided the accuracy and limitation of the conventional method using a circular cone, and the expanded metrology modelling that can be applied to a circular cone with arbitrary apex angle. Using these, this study provided the dependence of the metrology for the acoustic power using ultrasonic radiation force on the frequency and the size of the target. As a result, the correction was yielded in the value of the acoustic power calculated by the suggested International Electrotechnical Commission (IEC) method, which needs to be added when the frequency and the size of the target was considered.

Modelling of chloride diffusion in saturated concrete

  • Tsao, Wen-Hu;Huang, Nai-Ming;Liang, Ming-Te
    • Computers and Concrete
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    • v.15 no.1
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    • pp.127-140
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    • 2015
  • The process of chloride ingress in saturated concrete was presented by a previous study that used a mathematical model for the same as that concrete. This model is to be studied chloride ion diffusion which is considered as a chemical phenomenon and is to be represented the chloride diffusion process to be a nonlinear partial differential equation (PDE). In this paper, this nonlinear PDE is solved by the Kirchhoff transformation to render into a linear PDE. This linear PDE associated with initial and boundary conditions is also solved by the Laplace transformation to obtain an analytical solution. To verify the serviceability and reliability of this proposed method, the practical application should be supplied. The input parameters were cited from the previous study. The free chloride concentration profiles obtained by the analytical solution of mathematical model for saturated concretes after 24 and 120 hrs of exposure were compared with the previous study. The predicted results obtained from proposed method have a tendency with experimental results obtained by the previous study and trend toward numerical results approximated by finite difference technique.

Parameter Analysis of Sound Radiation for Bridges Under Moving Vehicles (이동차량하중에 의해 발생되는 교량진동음압의 매개변수 분석)

  • Lee Yong-Seon;Kim Sang-Ryo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.772-777
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    • 2006
  • An acoustic finite element model of a bridge is developed to evaluate the noise generated by the traffic-induced vibration of the bridge. The dynamic response of a multi-girder bridge, modeled by a 3-dimensional frame element model, is analyzed with a 3-axle(8DOF) truck model and a 5-axle(l3DOF) semi-trailer. The flat plate element is used to analyze the acoustic pressure due to the fluid-structure interactions between the vibrating surface and contiguous acoustic fluid medium. The radiation fields of noise with a specified distribution of vibrating velocity and pressure on the structural surface are also computed using the Kirchhoff-Helmholtz integral. In an attempt to illustrate the influence of the structural vibration noise of a bridge to total noise level around the bridge, the random function is used to generate the vehicle noise source including the engine noise and the rolling noise interacting between the road and tire. Among the diverse parameters affecting the dynamic response of bridge, the vehicle velocity, the vehicle weight, the spatial distribution of the road surface roughness, the stiffness degradation of the bridge and the variation of the air temperature changing the air density are found to be the main factors that increase the level of vibration noise. Consequently, The amplification rate of noise increases with the traveling speed and the vehicle weight.

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Target Strength According to Tilt Angle and Length of Black Seabream Acanthopagrus schlegeli at 200 kHz-frequency (감성돔(Acanthopagrus schlegeli)의 유영자세각과 체장에 따른 200 kHz대역 음향산란강도)

  • Choi, Jung-Hwa;Oh, Woo-Seok;Yoon, Euna;Im, Yang-Jae;Lee, Kyounghoon
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.51 no.5
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    • pp.566-570
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    • 2018
  • This study determined the acoustic target strength (TS; dB) of black seabream Acanthopagrus schlegeli off the southern coast of Korea. For the ex-situ measurements, 200 kHz split beam transducers were used, and a Kirchhoff-ray mode (KRM) model acoustic model was used for the calculation. The fork length and total weight of the black seabream ranged from 6.4 to 30.8 cm and 6.4 to 683.8 g. respectively 200 kHz, the TS could beexpressed as a function of fork length as: $TS_{max}=20log_{10}(FL)-60.35(R=0.92)$ and $TS_{avg.}=20log_{10}(FL)-66.89(R=0.88)$. These TS results for black seabream can be used for estimating the biomass of fish in acoustic surveys in coastal areas.