• Title/Summary/Keyword: fourier series

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The controllable fluid dash pot damper performance

  • Samali, Bijan;Widjaja, Joko;Reizes, John
    • Smart Structures and Systems
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    • v.2 no.3
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    • pp.209-224
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    • 2006
  • The use of smart dampers to optimally control the response of structures is on the increase. To maximize the potential use of such damper systems, their accurate modeling and assessment of their performance is of vital interest. In this study, the performance of a controllable fluid dashpot damper, in terms of damper forces, damper dynamic range and damping force hysteretic loops, respectively, is studied mathematically. The study employs a damper Bingham-Maxwell (BingMax) model whose mathematical formulation is developed using a Fourier series technique. The technique treats this one-dimensional Navier-Stokes's momentum equation as a linear superposition of initial-boundary value problems (IBVPs): boundary conditions, viscous term, constant Direct Current (DC) induced fluid plug and fluid inertial term. To hold the formulation applicable, the DC current level to the damper is supplied as discrete constants. The formulation and subsequent simulation are validated with experimental results of a commercially available magneto rheological (MR) dashpot damper (Lord model No's RD-1005-3) subjected to a sinusoidal stroke motion using a 'SCHENK' material testing machine in the Materials Laboratory at the University of Technology, Sydney.

Preparation and Characterization of Polyurethane Bioadhesive from Hydroxyl-terminated Polylactide and Imidazole-blocked Isocyanate (말단 수산화기를 가진 폴리락타이드와 이미다졸로 블록된 이소시아네이트를 이용한 폴리우레탄 바이오접착제의 합성 및 물성 평가)

  • Shen, Tengfei;Sun, Yingjuan;Sun, Chunfeng;Lu, Mangeng
    • Polymer(Korea)
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    • v.37 no.2
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    • pp.232-239
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    • 2013
  • A series of novel imidazole-blocked diisocyanate bioadhesives (IBAs) were synthesized from reaction of toluene 2, 4-diisocyanate (TDI), isophorone diisocyanate (IPDI), hydroxyl-terminated polylactide (HO-PLA-OH), 1,1,1-trimethylolpropane (TMP), and imidazole. Synthesis of IBAs was confirmed by Fourier transform infrared spectroscopy (FTIR) and gel permeation chromatography (GPC). Differential scanning calorimetry (DSC) and thermal gravimetric analysis (TGA) revealed that the TDI-based IBA had lower thermal dissociation temperature and a faster deblocking rate than IBA based on IPDI. Hydroxyl-terminated polyurethane (HPU) was introduced to study the adhesive effect of the synthesized IBAs. Improvement on elastic modulus, tensile strength and water resistance of IBA-modified HPU in comparison with neat HPU suggested the good adhesive effect of IBA due to the strong chemical reaction between released NCO groups from IBA and hydroxyl groups from HPU.

Elastic Buckling Reliability Analysis of Circular Cylindrical Shell with Random Geometric Initial Imperfection (기하학적 초기결함을 갖는 원통형 쉘의 탄성 좌굴신뢰성 해석)

  • Y.S. Yang;D.K. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.103-114
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    • 1992
  • A study result of buckling reliability is presented for the axially compressed imperfect elastic cylinder. Multi-mode analysis program is developed from Karman-Donnell Equation for the calculation of the buckling load of the cylindrical she1l. Geometric intial imperfection is approximated by double Fourier series of which coefficients are assumed random variables with jointly normal distribution characteristics. Crude Monte Carlo simulation technique is used to calculate the probabilistic failure properties of several cases with various imperfection Conditions.

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A Study on the Stress Concentration and Diminishing in Structural Member with Arbitrary Section Using Finite Element Method (유한요소법을 이용한 집중하중을 받는 임의단면형상부재에서 응력집중현상과 소멸현상에 관한 연구)

  • 최종근;이종재;김동현
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.5
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    • pp.1069-1078
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    • 1990
  • It is shown that the performance of finite element based on energy orthogonal functions may be superior to conventional formulation for plane stress problem. Using this finite element, it is then attempted to show the distribution of stress concentration effect for subsurface under loading point. It turned out that the stress concentration effect for subsurface is not dependent on the width of the member but the loading area. And then it is shown that the solution attained by taking the stress function as a Fourier series is not satisfactory in y<0.1B.

Stress Distributions in a Plate due to Shear Loading Uniformly Distributed on the End Portions of its Side Boundary. (부분적(部分的)인 균일전단하중(均一傳達荷重)을 받는 평판(平板)에서의 응력분포(應力分布))

  • Hyo-Chul,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.7 no.1
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    • pp.37-44
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    • 1970
  • The plate under shear loading umformly distributed on the end portions of its side boundary was considered. Infinite hyperbolic serieses and Fourier serieses were combined as a stress function and from which exact solutions for the 15 cases for the parameters of b/L=0.25, 0.5, 1.0 and l/L=0.2, 0.4, 0.6, 0.8, 1.0 are obtained. In each cases the first 5 terms of the infinite series at the 36 points as shown in Fig. 3. The results are presented in Fig. 4-1, 4-2, and 4-3. The conclusions are as follows: 1) The stresses ${\sigma}_x$ increase very slightly as $\chi$ increases in the range of 0<x<L-l 2) When the parameters satisfy the conditions b/L<0.25 and l/L<0.2, the stresses in the region of 0<x<L-l can be obtained by replacing the uniform shear loading by the equivalent uniform shear loading by the equivalent uniform tensile force and pure bending moment at x=l. 3) The stress ${\sigma}_y$ is negligible throughout the region. 4) When the parameter b/L varies, the stresses ${\sigma}_x$ and u vary as L/b, while strain $\upsilon$ varies as $(L/b)^2$.

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A Self-Consistent Semi-Analytical Model for AlGaAs/InGaAs PMHEMTs

  • Abdel Aziz, M.;El-Banna, M.;El-Sayed, M.
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.2 no.1
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    • pp.59-69
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    • 2002
  • A semi-analytical model based on exact numerical analysis of the 2DEG channel in pseudo-morphic HEMT (PMHEMT) is presented. The exactness of the model stems from solving both Schrodinger's wave equation and Poisson's equation simultaneously and self-consistently. The analytical modeling of the device terminal characteristics in relation to the charge control model has allowed a best fit with the geometrical and structural parameters of the device. The numerically obtained data for the charge control of the channel are best fitted to analytical expressions which render the problem analytical. The obtained good agreement between experimental and modeled current/voltage characteristics and small signal parameters has confirmed the validity of the model over a wide range of biasing voltages. The model has been used to compare both the performance and characteristics of a PMHEMT with a competetive HEMT. The comparison between the two devices has been made in terms of 2DEG density, transfer characteristics, transconductance, gate capacitance and unity current gain cut-off frequency. The results show that PMHEMT outperforms the conventional HEMT in all considered parameters.

On the Improved Numerical Method for Hydrodynamic Forces Acting on an Arbitrary Cylinder in the Time Domain (2차원 주상체의 강제 동요시 동유체력의 시간 영역 해석법에 관하여)

  • Y.S.,Shin;K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.27 no.1
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    • pp.63-72
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    • 1990
  • The linear hydrodynamic forces, acting on a forced oscillating cylinder from its mean position on a free surface with a small amplitude, are calculated in the time domain. The integral equation method using a time dependent Green function is employed. The numerical results for the heaving and swaying circular cylinder are shown and give good agreements with others Furthermore it is shown that the use of the Green function, which is expressed by a series expansion or asymptotic expansion according to time range, reduces computing time greatly.

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A Study on the Design of Rifling Angle by Setting up an Idealized Rifling Force Curve (이상적인 강선력 곡선에 의한 강선각 설계기법)

  • Cha, Kiup;Ahn, Sangtae;Cho, Changki;Choi, Euijung
    • Journal of the Korea Institute of Military Science and Technology
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    • v.18 no.1
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    • pp.15-21
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    • 2015
  • Rifling Force can be described with projectile velocity, gas pressure and rifling angle, etc. Under the same conditions, the character of the rifling angle decisively influences the rifling force. To reduce the harmful effect, locally distinct maximum of rifling force has to be avoided. The optimal design methodology of rifling angle curve had been developed by combined Fourier series and polynomial function. When it was tried newly to design the rifling angle curve, this design trial caused not to produce the lower rifling force than the existing design. Normally, the curve of the rifling angle is designed first, then the rifling force is set according to the rifling angle curve. However during the cause analysis, new design methodology was established to design the ideal rifling force curve before the rifling angle design. With this new methodology, the above optimal design method was analyzed and its limitation was confirmed.

A Study on the Optimal Design of Rifling Rate (강선율 최적설계에 관한 연구)

  • Cha, Ki-Up;Cha, Young-Hyun;Lee, Sung-Bae;Cho, Chang-Ki
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.6
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    • pp.998-1005
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    • 2010
  • Rifling force has a torsion impulse effect on the gun tube and thus generates undesirable vibration of the gun tube about its bore axis, putting additional stress on the projectile. High rifling force at the muzzle of the gun tube may adversely influence the trajectory of the projectile. And, the service life of rifled gun barrels is known to depend on the rifling force. Rifling force along the path of the projectile in the longitudinal direction of the gun tube can be described with projectile mass, projectile velocity, gas pressure curve and rifling angle. Under the same conditions, the character of the rifling of the gun barrel decisively influences the rifling force curve. To reduce the above mentioned harmful effect, locally distinct maximum of rifling force has to be avoided and maximum rifling force needs to be minimized. The best way to minimize the maximum rifling force is to design a rifling angle function so that the rifling force curve has a near trapezoidal shape. In this paper a new approach to make the optimal rifling force curve is described. The rifling angle determining the rifling force is developed by combined Fourier series and polynomial function to satisfy both the convergence and boundary condition matching problems.

Analysis of the Fixed Frequency LCL-type Converter at Continuous Current Mode Including Parasitic Losses (연속전류모드에서 기생손실들을 고려한 고정주파수 LCL형 컨버터 해석)

  • Park, Sangeun;Cha, Hanju
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.5
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    • pp.785-793
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    • 2016
  • This paper analyzes an LCL-type isolated dc-dc converter operating for constant output voltage in the continuous conduction mode(CCM) with resistances of parasitic losses-static drain-source on resistance of power switch, ESR of resonant network(L-C-L)-using a high loaded quality factor Q assumptions and fourier series techniques. Simple analytical expressions for performance characteristics are derived under steady-state conditions for designing and understanding the behavior of the proposed converter. The voltage-driven rectifier is analyzed, taking into account the diode threshold voltage and the diode forward resistance. Experimental results measured for a proposed converter at low input voltage and various load resistances show agreement to the theoretical performance predicted by the analysis within maximum 4% error. Especially in the case of low output voltages and large loads, It is been observed that introduction of both rectifier and the parasitic components of converter had considerable effect on the performance.