• Title/Summary/Keyword: Sinusoidal Function

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Vibration analysis of thick orthotropic plates using quasi 3D sinusoidal shear deformation theory

  • Sadoun, Mohamed;Houari, Mohammed Sid Ahmed;Bakora, Ahmed;Tounsi, Abdelouahed;Mahmoud, S.R.;Alwabli, Afaf S.
    • Geomechanics and Engineering
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    • v.16 no.2
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    • pp.141-150
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    • 2018
  • In this current work a quasi 3D "trigonometric shear deformation theory" is proposed and discussed for the dynamic of thick orthotropic plates. Contrary to the classical "higher order shear deformation theories" (HSDT) and the "first shear deformation theory" (FSDT), the constructed theory utilizes a new displacement field which includes "undetermined integral terms" and presents only three "variables". In this model the axial displacement utilizes sinusoidal mathematical function in terms of z coordinate to introduce the shear strain impact. The cosine mathematical function in terms of z coordinate is employed in vertical displacement to introduce the impact of transverse "normal deformation". The motion equations of the model are found via the concept of virtual work. Numerical results found for frequency of "flexural mode", mode of shear and mode of thickness stretch impact of dynamic of simply supported "orthotropic" structures are compared and verified with those of other HSDTs and method of elasticity wherever considered.

Overlap and Add Sinusoidal Synthesis Method of Speech Signal using Amplitude-weighted Phase Error Function (정현파 크기로 가중치 된 위상 오류 함수를 사용한 음성의 중첩합산 정현파 합성 방법)

  • Park, Jong-Bae;Kim, Gyu-Jin;Hyeok, Jeong-Gyu;Kim, Jong-Hark;Lee, In-Sung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.12C
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    • pp.1149-1155
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    • 2007
  • In this paper, we propose a new overlap and add speech synthesis method which demonstrates improved continuity performance. The proposed method uses a weighted phase error function and minimizes the wave discontinuity of the synthesis signal, rather than the phase discontinuity, to estimate the mid-point phase. Experimental results show that the proposed method improves the continuity between the synthesized signals relative to the existing method.

Design of a Variable Structure Speed Controller having a Dead Zone Switching layer for the Sinusoidal type Brushless DC Motor (데드 존 스위칭 영역을 갖는 정현파형 브러시리스 직류전동기의 가변구조 속도제어기 설계)

  • 김세일;최중경;박승엽
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.3 no.3
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    • pp.639-650
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    • 1999
  • In this paper, a chattering alleviation VSS controller for the sinusoidal type BLDC motor is designed. Dead Zone function is proposed to change the chattering occurring in the transient state from high frequency to low frequency and time-varying gains are applied for the control input to eliminate the steady state excessive chattering in the conventional ISM. The proposed Dead Zone function represents the sliding layer composed of two switching surfaces and if a state vector exists in this layer, the chattering don't occur. Simulation and experimental results confirm the useful effects of the above algorithm.

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A simple analytical approach for thermal buckling of thick functionally graded sandwich plates

  • El-Haina, Fouzia;Bakora, Ahmed;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.63 no.5
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    • pp.585-595
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    • 2017
  • This study aimed to presents a simple analytical approach to investigate the thermal buckling behavior of thick functionally graded sandwich by employing both the sinusoidal shear deformation theory and stress function. The material properties of the sandwich plate faces are continuously varied within the plate thickness according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are considered as uniform, linear and non-linear temperature rises across the thickness direction. Numerical examples are presented to prove the effect of power law index, loading type and functionally graded layers thickness on the thermal buckling response of thick functionally graded sandwich.

Effect of Nitric Oxide on the Sinusoidal Uptake of Organic Cations and Anions by Isolated Hepatocytes

  • Song, Im-Sook;Lee, In-Kyoung;Chung, Suk-Jae;Kim, Sang-Geon;Lee, Myung-Gull;Shim, Chang-Koo
    • Archives of Pharmacal Research
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    • v.25 no.6
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    • pp.984-988
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    • 2002
  • The issue of whether or not the presence NOx (NO and oxidized metabolites) in the hepatocytes at pathological levels affects the functional activity of transport systems within the sinusoidal membrane was investigated. For this purpose, the effect of the pretreatment of isolated hepatocytes with sodium nitroprusside (SNP), a spontaneous NO donor, on the sinusoidal uptake of tributylmethylammonium (TBuMA) and triethylmethyl ammonium (TEMA), representative substrates of the organic cation transporter (OCT), and taurocholate, a representative substrate of the $Na^+$/taurocholate cotransporting polypeptide (NTCP), was measured. The uptake of TBuMA and TEMA was not affected by the pretreatment, as demonstrated by the nearly identical kinetic parameters for the uptake ($i.e., V_{max}, K_{m} and CL_{linear}$). The uptake of mannitol into hepatocytes was not affected, demonstrating that the membrane integrity remained constant, irregardless of the SNP prutreatment. On the contrary, the uptake of taurocholate was significantly inhibited by the pretreatment, resulting in a significant decrease in V_{max}$, thus providing a clear demonstration that NOx preferentially affects the function of NTCP rather than OCT on the sinusoidal membrane. A direct interaction between NOx and NTCP or a decrease in $Na^+/K^+$ ATPase activity as the result of SNP pretreatment might be responsible for this selective effect of NOx.

Overlap and Add Sinusoidal Synthesis Method of Speech Signal Lising the Damping Harmonic Magnitude Parameter (감쇄(damping) 하모닉 크기 파라미터를 이용한 음성의 중첩합산 정현파 합성 방법)

  • Park, Jong-Bae;Kim, Young-Joon;Lee, In-Sung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.3C
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    • pp.251-256
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    • 2009
  • In this paper, we propose a new method with the improved continuity performance of overlap and add speech signal synthesis method using damping harmonic amplitude parameter. The existing method uses the average value of past and current parameters for the sinusoidal amplitude used as the weight of phase error function. But, the proposed method extracts the more accurate sinusoidal amplitude by using a correlation between the original signals and the synthesized signals for the sinusodal amplitude used as the weights. To verify the performance of the proposed method, we observed the average differential error value between the synthesized signals.

Response Characteristics of Forced Vibration Model with Sinusoidal Exciting Force (정현파로 가진한 강제진동 해석과 응답특성)

  • Kim, Jong-Do;Yoon, Moon-Chul
    • Journal of Convergence for Information Technology
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    • v.10 no.7
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    • pp.131-137
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    • 2020
  • The characteristics of forced vibration with excited sinusoidal force was introduced. Also, numerical analyses and FRF in frequency domain were performed in detail. In this regard, the responses of displacement, velocity and acceleration were investigated in a forced vibration model. The FRF characteristics in real and imaginary part around natural frequency are also discussed. This response approach of forced vibration in time domain is used for the identification and monitoring of sinusoidal forced vibration. For acquiring a displacement, velocity and acceleration, a numerical technique of Runge-Kutta-Gill method was performed. For the FRF(frequency response function), These responses are used. Also, the FRF can represent the intrinsic characteristics of the forced vibration. These performed results and analysis are successful in each damped condition for the forced vibration model. After numerical analysis of the different mass, damping and stiffness, the forced vibration response characteristics with sinusoidal force was discriminated considering its amplitude and frequency simultaneously.

DSP Implementation of a Sinusoidal Encoder using linear Hall Sensor (선형 홀센서를 이용한 정현파 엔코더의 DSP 구현)

  • Hwang, Jung-Ho;Chung, Chan-Soo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.2
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    • pp.298-302
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    • 2012
  • The linear encoder used in the BLAC driving circuit consists usually analog type sensor, and need signal transform from analog sinusoidal to digital one for application in the PWM algorithm that is used to control motor current. When the motor is driven in low speed, it is required many operations and higher quality DSP to convert the hole sensor signal to digital one with enough resolution. In this paper, the another method to convert that signal with enough resolution without calculation of sine function is proposed. This is very simple and have high resolution even if the motor is driving in low speed. To verify the proposed method, BLAC motor is used, and it is proved that the motor is tracking well the reference step signal in the low speed as well as in the high one.

A Characteristics of pressure Propagation According to Frequency Changes in a Hydraulic Pipeline (유압관로의 주파수변화 따른 압력전파특성)

  • 유영태;나기대;김지환
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.11 no.2
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    • pp.71-79
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    • 2002
  • In this paper, an oil hydraulic pipeline is terminated by both rotary sinusoidal flow generator at upstream oriffice at down stream. The pulsating pressure wave from generated by the rotary sinusoidal flow generator, is measured by using sensor. In the analysis of this paper, a component of the fundamental frequency is obtained by using Laplace transformation.. The experimental and analytical results make clear that (1) viscosity is significant role in hydraulic pipe. (2) When pulsating frequency is matched with the natural frequency, resonance frequency occured periodically. According to the study proposed here, dynamic pressure in a circular oil pipe is expressed in propagation of pressure wave with respect to frequency and Bessel function. The resonance at oil temperature $20^{\circ}$$0^{\circ}C$ in this study. The abrupt change of gain value is due to effect of resonance frequency. The results of experiment are compared with the calculated results, and agreement of both results is fairly good.

Dynamic Direct and Indirect Buckling Characteristics of Arch by Running Response Spectrum (연속 응답 스펙트럼 분석에 의한 아치의 동적 직접 및 간접 좌굴 특성)

  • Yun, Tae-Young;Kim, Seung-Deog
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.161-168
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    • 2004
  • The dynamic instability of snapping phenomena has been studied by many researchers. Few papers deal with dynamic buckling under loads with periodic characteristics, and the behavior under periodic excitations is expected to be different from behavior under STEP excitations. We investigate the fundamental mechanisms of the dynamic instability when the sinusoidally shaped arch structures are subjected to sinusoidally distributed excitations with pin-ends. The mechanisms of dynamic indirect snapping of shallow arches are especially investigated under not only STEP function excitations but also under sinusoidal harmonic excitations, applied in the up-and-down direction. The dynamic nonlinear responses are obtained by the numerical integration of the geometrically nonlinear equation of motion, and examined by Fourier spectral analysis in order to get the frequency-dependent characteristics of the dynamic instability for various load levels.

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