• Title/Summary/Keyword: Sine Series

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The Vibration Analysis of Metal-Piezoceramic Laminated Thin Plates by Using a Equivalent Method (등가화 방법을 이용한 금속;압전 세라믹 적층평판의 진동해석)

  • 고영준;남효덕;장호경
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.13 no.1
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    • pp.39-46
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    • 2000
  • An analysis of the free vibration for the metal-piezoceramic laminated thin plates is described. The purpose of this study is to develop a equivalent method for the free vibration analysis of metal-piezoce-ramic laminated thin plate which are not sysmmetric about the adhered layer and the piezoelectric effect. In order to confirm the validity of the vibration analysis, double Fourier sine series is used as a modal displacement function of a metal-piezoceramic laminated thin plate and applied to the free vibration analysis of the plate under various boundary conditions.

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Size dependent torsional vibration of a rotationally restrained circular FG nanorod via strain gradient nonlocal elasticity

  • Busra Uzun;Omer Civalek;M. Ozgur Yayli
    • Advances in nano research
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    • v.16 no.2
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    • pp.175-186
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    • 2024
  • Dynamical behaviors of one-dimensional (1D) nano-sized structures are of great importance in nanotechnology applications. Therefore, the torsional dynamic response of functionally graded nanorods which could be used to model the nano electromechanical systems or micro electromechanical systems with torsional motion about the center of twist is examined based on the theory of strain gradient nonlocal elasticity in this work. The mathematical background is constructed based on both strain gradient theory and Eringen's nonlocal elasticity theory. The equation of motions and boundary conditions of radially functionally graded nanorods are derived using Hamilton's principle and then transformed into the eigenvalue analysis by using Fourier sine series. A general coefficient matrix is obtained to assemble the Stokes' transformation. The case of a restrained functionally graded nanorod embedded in two elastic springs against torsional rotation is then deeply investigated. The effect of changing the functionally graded index, the stiffness of elastic boundary conditions, the length scale parameter and nonlocal parameter are investigated in detail.

An Analysis for Coupled Vibration of Vehicle and Bridge Using Fourier Sine Transformation (FOURIER변환을 이용한 차량과 교량의 연성 진동 해석)

  • 류윤선
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.45-50
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    • 1998
  • The coupled vibration occurs between traveling vehicle and bridge, when vehicle runs on it. The natural frequency of this coupled system is dependent on the contact position of vehicle and bridge, that is, time-varying system. The calculations of these natural frequencies are very complicated, and often carried out by using Green function theory, series. But, these methods have any limitations, such as, supporting condition, boundary condition. In this paper, on the coupled system constructed by the concentrated mass and elastically supported beam, an analytical method of natural frequency is proposed by using Fourier sine transformation. The results are compared and discussed with numerically calculated ones.

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Analysis of the Electromagnetic Scattering of Resistive Strip Grating with Uniform Resistivity on a Grounded Dielectric Layer - H-Polarization Case - (접지된 유전체 위의 저항율이 일정한 저항띠 격자구조에 대한 전자파 산란 해석 - H-분극인 경우 -)

  • Tchoi Young-Sun;Yang Seung-In
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.31 no.3A
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    • pp.321-327
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    • 2006
  • In this paper, when a H-polarized plane wave is incident on the grating consisting of uniform resistive strips, electromagnetic scattering is analyzed using the moment of methods (MoM). The current density of each resistive strip on a grounded dielectric plane is fixed by zero at both edges. To satisfy the condition at both ends of each resistive strip, the induced surface current density is expanded in a series of cosine and sine functions. The scattered electromagnetic fields are expanded in a series of floquet mode functions. The boundary conditions are applied to obtain the unknown current coefficients. According to the variation of the involving parameters such as strip width and spacing and angle of the incident field, numerical simulations are performed by applying the Fourier-Galerkin moment method. The numerical results of the normalized reflected power for resistive strips case for zero and several resistivities are obtained.

Recurrent Contralateral Thoracic Herpes Zoster after Left Thoracic Zoster Sine Herpete -A case report- (좌측 흉부 Zoster Sine Herpete 후 반대측 흉부에 재발한 대상포진 환자의 치험 1예 -증례 보고-)

  • Kim, Soo-Mi;Han, Kyung-Rim;Min, Kyung-Shin;Whang, Hyuck-Ee;Kim, Chan
    • The Korean Journal of Pain
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    • v.12 no.1
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    • pp.148-151
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    • 1999
  • This report is a case of 62-year-old man with anterior chest pain and pin pricking pain with allodynia affecting left T5 sensory dermatome for 3 months without history of vesicular skin eruption. He had a history of diabetes mellitus for 10 years and insulin therapy for recent 1 year. EKG, chest PA and rib series were normal. Serologic evaluation of IgG antibody to varicella-zoster virus was positive and was diagnosed as post herpetic neuralgia after zoster sine herpete. He was treated with left T5 nerve root block followed by thoracic epidural blockade and intercostal nerve block for 2 weeks. His VAS score decreased from 10 to 2 after 2 weeks of treatment. After 3 months, he revisited our clinic complaining right side chest pain followed by vesicular skin eruption 8 days after the onset of pain. He was treated as herpes zoster and tolerates well after 4 months.

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A study on the straight cruise of fish robot according to biological mimic (생물학적 모방에 따른 물고기 로봇의 직진유영 연구)

  • Park, Jin-Hyun;Lee, Tae-Hwan;Choi, Young-Kiu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.8
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    • pp.1756-1763
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    • 2011
  • This paper was researched the straight cruise of fish robot according to biological mimic, and it was compared the proposed method which was considered up to 7th order components in fourier series of Liu's tail motion function with the approximate method which was used general sine function by simulation. If fish robot has a large number of links and if the length of tail link is long. The end rotary joint trajectory of tail motion function generally is different from sine function. Therefore The approximate method which expresses tail motion trajectories as fundamental component in fourier series has a problem. Through the computer simulation, the proposed method showed 10% excellent propulsion and velocity than the conventional method.

Design and Implementation of DDFS Including Gain-Phase Detector (Gain-Phase 추출 기능을 가진 FDFS의 설계 및 검증)

  • Do, Jae-Chul;Cho, Jun-Young;Lee, Tae-Ho;Song, Young-Suk;Choi, Chang;Park, Chong-Sik
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.334-337
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    • 2001
  • In this paper we implemented DDFS and gam-phase dectector which use output of DDFS or any sinusoidal signal input to broaden the usability of DDFS. DDFS is composed of a 32 bits phase accumulator, phase increment registers, ROM and several registers for controlling the operations. It generates the digital data for sine wave up to the half of the clock frequency. To reduce the ROM size and increase the speed, we adopt the algorithms based on Taylor's series expansion method. Data at sparse phase intervals are stored in ROM and sine data between intervals are calculated in hardware. Function of Gain-Phase Extraction consists of sine lookup of DDFS and the optimized multipliers.

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Adaptive Reconstruction of Multi-periodic Harmonic Time Series with Only Negative Errors: Simulation Study

  • Lee, Sang-Hoon
    • Korean Journal of Remote Sensing
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    • v.26 no.6
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    • pp.721-730
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    • 2010
  • In satellite remote sensing, irregular temporal sampling is a common feature of geophysical and biological process on the earth's surface. Lee (2008) proposed a feed-back system using a harmonic model of single period to adaptively reconstruct observation image series contaminated by noises resulted from mechanical problems or environmental conditions. However, the simple sinusoidal model of single period may not be appropriate for temporal physical processes of land surface. A complex model of multiple periods would be more proper to represent inter-annual and inner-annual variations of surface parameters. This study extended to use a multi-periodic harmonic model, which is expressed as the sum of a series of sine waves, for the adaptive system. For the system assessment, simulation data were generated from a model of negative errors, based on the fact that the observation is mainly suppressed by bad weather. The experimental results of this simulation study show the potentiality of the proposed system for real-time monitoring on the image series observed by imperfect sensing technology from the environment which are frequently influenced by bad weather.

A Study on Composition of A Novel Single Phase 3 Level Inverter Circuit (새로운 단상 3전위 인버터회로의 구성에 관한 연구)

  • 이종수;백종현
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.9 no.5
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    • pp.51-56
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    • 1995
  • The transistors of single phase 3 level PWM Inverter compose output power transistors and neutral point clamping transistors, which are NPN transistors. Waveforms of driving signals for this are PWM waves for power transistors and period operating waves for neutral point clamping transistors, which signals made W-type modulation from rectangular and sine wave. The output power transistors operate at ON-time complementary and neutral point clamping transistors operate at OFF-time complementary respectively. Therefore, each transistors operate in half period at parallel. Characteristics of this inverter circuit is parallel switching method about series switching method of general inverter. As modulation of 3 level drive signals made from full-wave rectifier of sine wave and rectangular wave, which are level wave about 3 level of complementary transistor inverter. So, this circuit composed complementary operation inverter of NPN transistors only compare with PNP-NPN complementary inverter, which have high power 3 level inverter of complementary operation.

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Design and Implementation of Direct Digital Frequency Synthesizer Using Reduced ROM Size Algorithm (ROM 축소 알고리즘을 이용한 직접 디지털 주파수 합성기의 설계 및 구현)

  • Kim, Jong-Hyeon;Do, Jae-Cheol;Song, Yeong-Seok;Park, Jong-Sik
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.946-949
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    • 2003
  • In this paper, a DDFS(Direct Digital Frequency Synthesis)chip has been designed focusing on the reduction of ROM size and implemented using FPGA. When calculating the sine value for the input phase value, we used the Taylor series expansion approximation method to reduce the number of addresses of ROM. We also used the piecewise straight line approximation method, ie, the stored value int the ROM is the difference of the sine value and the straight line approximation. Using this method, we could reduce four bits for each ROM data.

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