• 제목/요약/키워드: Rayleigh integral

검색결과 53건 처리시간 0.026초

Vibro-acoustics of functionally graded porous beams subjected to thermo-mechanical loads

  • Chinnapandi, Lenin Babu Mailan;Pitchaimani, Jeyaraj;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제44권6호
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    • pp.829-843
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    • 2022
  • This manuscript work presents a comprehensive continuum model capable to investigate the effect of porosity on vibro-acoustic behaviour of functionally graded (FG) beams resting on an elastic foundation subjected to thermal and mechanical loadings. Effects of uniform temperature rise and edge compressive load on the sound radiation characteristics are studied in a comparative manner. The numerical analysis is carried out by combining finite element method with Rayleigh's integral. Detailed parametric studies are accomplished, and influences of power law index, porosity volume, porosity distribution and boundary conditions on the vibro-acoustic response characteristics are analyzed. It is found that the vibro-acoustic response under mechanical edge compression is entirely different compared to from that under the thermal load. Furthermore, nature of grading of porosity affects the sound radiation behaviour for both the loads. The proposed model can be used to obtain the suppression performance of vibration and noise FG porous beams under thermal and mechanical loads.

열린 창문을 통해 유입되는 소음을 저감하는 능동소음제어 창문 (Active Window to Reduce the Exterior Noise Flowed Through the Open Window)

  • 권병호;박영진
    • 한국소음진동공학회논문집
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    • 제21권9호
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    • pp.820-827
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    • 2011
  • Recently, noise has been regarded as one of the most notorious and frequent environmental pollutions which can be often encountered not only in the living space but also in the industrial site. Studies on physiological and psychological effects of long-term noise exposure to human being have commanded the public interest on noise issues. Since environmental noises such as traffic noise and construction noise is mainly flowed through the open window, it is necessary to develop the active noise control system to reduce it inside the building. Although control speakers and microphones for the noise signal measurement in the control region are essential for the conventional active noise control methods, it is impossible to implement them in the control region in the building environment because the control region is the living quarter and they may hinder activities of the residents. Therefore, we proposed the active window system to reduce the exterior noise flowed through the open window with microphones installed outside the window and control speakers installed at the frame of the window. To confirm the performance of the proposed active window, we carried out the simulation and experiment using active window system with 8 control speakers. Simulation results showed the noticeable noise reduction effect inside the control region within the frequency range without the spatial aliasing. Experimental result showed that the total acoustic potential energy inside the room of the scale model is reduced to about 10dB within the interest of frequency range.

펄스 타입의 음향신호를 고려한 음향표적강도 이론식 개발 (Derivation of Acoustic Target Strength Equation Considering Pulse Type of Acoustic Signal)

  • 김기준;홍석윤;권현웅
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.812-819
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    • 2007
  • Acoustic Target Strength (TS) is a major parameter of the active sonar equation, which indicates the ratio of the radiated intensity from the source to the re-radiated intensity by a target. This research provides the time pattern of TS in time domain, which is applicable to pulse modulated acoustic pressure field. If the time pattern of TS is predicted by using TS equation in frequency domain, it takes long time and difficult since time function pulsed acoustic wave may be decomposed into their frequency domain components. But TS equation in time domain has a convenience. If the expression for pulsed acoustic field has been obtained, the problem can be solved. Furthermore this paper introduces about mathematical equivalence quantities between EM wave and Acoustic Wave.

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압전지능구조물의 최적설계를 위한 민감도 해석 (Sensitivity analysis for optimal design of piezoelectric structures)

  • 김재환
    • 소음진동
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    • 제8권2호
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    • pp.267-273
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    • 1998
  • This study aims at performing sensitivity analysis of piezoelectric smart structure for minimizing radiated noise from the structure, The structure consists of a flat plate on which disk shaped piezoelectric actuator is mounted, and finite element modeling is used for the structure. The finite element modeling uses a combination of three dimensional piezoelectric, flat shell and transition elements so thus it can take into account the coupling effects of the piezoelectric device precisely and it can also reduce the degrees of freedom of the finite element model. Electric potential on the piezoelectric actuator is taken as a design variable and total radiated power of the structure is chosen as an objective function. The objective function can be represented as Rayleigh's integral equation and is a function of normal displacements of the structure. For the convenience of computation, all degrees of freedom of the finite element equation is condensed out except the normal displacements of the structure. To perform the design sensitivity analysis, the derivative of the objective function with respect to the normal displacements is found, and the derivative of the norma displacements with respect to the design variable is calculated from the finite element equation by using so called the adjoint variable method. The analysis results are compared with those of the finite difference method, and shows a good agreement. This sensitivity analysis is faster and more accurate than the finite difference method. Once the sensitivity analysis program is used for gradient-based optimizations, one could achieve a better convergence rate than non-derivative methods for optimal design of piezoelectric smart structures.

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자동차용 브레이크 드럼의 구조-음향 특성에 관한 연구 (Vibro-acoustic Characteristics of an Automotive Brake Drum)

  • 이형일
    • 한국소음진동공학회논문집
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    • 제26권7호
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    • pp.836-843
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    • 2016
  • This study investigates the vibro-acoustic characteristics of an automotive brake drum given free boundaries using the hybrid approach combining numerically obtained structural properties with analytical solution for acoustic radiation. Structural vibrations of the drum are investigated with the finite element method, and modal displacements on the outer surfaces of the drum are idealized as simple mathematical expressions. Based on the expressions, modal sound radiations of the drum are calculated using the Rayleigh integral method. Structural and acoustic responses of the drum for a harmonic excitation are obtained from above results using the modal expansion technique. The results are confirmed with numerical analyses using the boundary element method. Based on these results, it can be concluded that the vibro-acoustic characteristics of a brake drum can be accurately investigated with the process used in this study. Also, many noise and vibration problems in drum brake can be addressed using the procedure proposed in this study.

Modeling Phased Array Ultrasonic Testing of a Flat-Bottom Hole in a Single Medium

  • Park, Joon-Soo;Kim, Hak-Joon;Song, Sung-Jin;Seong, Un-Hak;Kang, Suk-Chull;Choi, Young-Hwan
    • 비파괴검사학회지
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    • 제25권6호
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    • pp.467-474
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    • 2005
  • The expanded multi-Gaussian beam model has recently been developed that can calculate the radiation beam field from a single, rectangular transducer with great computational efficiency. In this study, this model is adopted to calculate the radiation beam field for a phased array transducer with various time delays to achieve steering and/or focusing. The calculation beam fields are compared to those obtained by well known Rayleigh-Sommerfeld integral that provides the exact solution in order to explore the validity of the expanded multi-Gaussian beam model And then, this study proposes a complete ultrasonic measurement model including the expanded beam model, far-field scattering model and system efficiency, Using the proposed model, phased array ultrasonic testing signals for a flat-bottomed hole with/without focusing were performed.

수중음향 영상화를 위한 렌즈 제작 및 특성 평가 (Characteristics Evaluation of the Lens for Underwater Acoustic Imaging)

  • 조완호;권휴상;조요한;서희선
    • 한국소음진동공학회논문집
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    • 제26권6_spc호
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    • pp.687-696
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    • 2016
  • A series of process to design an acoustic lens for underwater imaging is reviewed and the method to evaluate characteristics of the lens is investigated. If the target specification of lens is given, the design process consists of the material selection, evaluation of its properties, lens geometry design, prediction of lens characteristics, manufacturing, and evaluation by measurement. In this study, an actual acoustical lens is made by cutting polymethylpentene block. The characteristics of lens are predicted by the hybrid method, combination of ray tracing and Rayleigh integral. For the direct comparison between the prediction and measurement results, a simulation method based on the equivalent source method is suggested to reflect the actual radiation pattern of transducer used for measurements. Finally, the measurement is conducted in a small water tank to observe the actual characteristics of the manufactured lens.

SDR Based Modulation Performance of RF Signal under Different Communication Channel

  • Shabana Habib
    • International Journal of Computer Science & Network Security
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    • 제24권3호
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    • pp.182-188
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    • 2024
  • Hardware components are an integral part of Hardware Define Radio (HDR) for seamless operations and optimal performance. On the other hand, Software Define Radio (SDR) is a program that does not rely on any hardware components for its performance. Both of the latter radio programmers utilize modulation functions to make their core components from signal processing viewpoint. The following paper concentrates on SDR based modulation and their performance under different modulations. The bit error rate (BER) of modulations such as PSK, QAM, and PSAM were used as indicators to test channel quality estimation in planar Rayleigh fading. Though it is not commonly used for channel fading, the method of the adder determines the regionally segmented channel fading. Thus, the estimation error of the channel change substantially reduces the performance of the signal, hence, proving to be an effective option. Moreover, this paper also elaborates that BER is calculated as a function of the sample size (signal length) with an average of 20 decibels. Consequently, the size of the results for different modulation schemes has been explored. The analytical results through derivations have been verified through computer simulation. The results focused on parameters of amplitude estimation error for 1dB reduction in the average signal-to-noise ratio, while the combined amplitude deviation estimation error results are obtained for a 3.5 dB reduction

Fluid bounding effect on FG cylindrical shell using Hankel's functions of second kind

  • Khaled Mohamed Khedher;Shahzad Ali Chattah;Mohammad Amien Khadimallah;Ikram Ahmad;Muzamal Hussain;Rana Muhammad Akram Muntazir;Mohamed Abdelaziz Salem;Ghulam Murtaza;Faisal Al-Thobiani;Muhammad Naeem Mohsin;Abeera Talib;Abdelouahed Tounsi
    • Advances in nano research
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    • 제16권6호
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    • pp.565-577
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    • 2024
  • Vibration investigation of fluid-filled functionally graded cylindrical shells with ring supports is studied here. Shell motion equations are framed first order shell theory due to Sander. These equations are partial differential equations which are usually solved by approximate technique. Robust and efficient techniques are favored to get precise results. Employment of the Rayleigh-Ritz procedure gives birth to the shell frequency equation. Use of acoustic wave equation is done to incorporate the sound pressure produced in a fluid. Hankel's functions of second kind designate the fluid influence. Mathematically the integral form of the Langrange energy functional is converted into a set of three partial differential equations. A cylindrical shell is immersed in a fluid which is a non-viscous one. These shells are stiffened by rings in the tangential direction. For isotropic materials, the physical properties are same everywhere where the laminated and functionally graded materials, they vary from point to point. Here the shell material has been taken as functionally graded material. After these, ring supports are located at various positions along the axial direction round the shell circumferential direction. The influence of the ring supports is investigated at various positions. Effect of ring supports with empty and fluid-filled shell is presented using the Rayleigh - Ritz method with simply supported condition. The frequency behavior is investigated with empty and fluid-filled cylindrical shell with ring supports versus circumferential wave number and axial wave number. Also the variations have been plotted against the locations of ring supports for length-to-radius and height-to-radius ratio. Moreover, frequency pattern is found for the various position of ring supports for empty and fluid-filled cylindrical shell. The frequency first increases and gain maximum value in the midway of the shell length and then lowers down. It is found that due to inducting the fluid term frequency result down than that of empty cylinder. It is also exhibited that the effect of frequencies is investigated by varying the surfaces with stainless steel and nickel as a constituent material. To generate the fundamental natural frequencies and for better accuracy and effectiveness, the computer software MATLAB is used.

비대칭 특성을 가진 짧은 후판 실린더의 음향 방사 모드에 관한 연구 (Study on the Acoustic Modes of a Short, Thick, Asymmetric Cylinder)

  • 이형일
    • 한국소음진동공학회논문집
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    • 제27권2호
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    • pp.234-242
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    • 2017
  • 단순지지-자유 경계조건과 좁은 슬롯을 포함한 짧은 후판 실린더의 음향방사 특성을 검토하였다. 유한요소 해석을 통해 얻어진 샘플 실린더(슬롯 포함)의 진동 모드를 동일한 치수의 슬롯이 없는 균일 실린더의 진동 모드들의 선형 합으로 근사화하였다. 이렇게 얻어진 근사적인 진동 모드를 기준으로 (1) 레일리 적분을 이용한 직접 계산, (2) 균일 실린더의 음향 모드들을 이용한 모드전개법 등 두 방법을 적용하여 샘플 실린더의 음향 모드들을 정의하였다. 이 결과를 이용하여 음향파워, 최대음압, 지향성 선도 등 부가적인 특성을 계산한 다음, 전체 결과를 경계요소법을 이용한 수치해석 결과와 비교하여 검증하였다. 이 결과를 바탕으로, 제시된 두 가지 방법을 이용하여 짧은 비대칭 후판 실린더의 음향방사 특성을 비교적 정확하게 예측할 수 있음을 알 수 있다. 이 방법들은 다른 형태의 비대칭성 및 경계조건을 가진 실린더에도 확대 적용 가능할 것으로 판단되며 이를 통해 실린더 형태의 실제 부품들에서 방사되는 소음을 저감방안 도출도 가능할 것으로 기대된다.