• 제목/요약/키워드: cosine equation

검색결과 49건 처리시간 0.023초

회전원판과 스프링-댐퍼를 가진 질점계의 상호작용에 의한 불안정성 (Instability caused by interaction between a rotating disk and a mass-spring-damper system)

  • 김창부;한덕호
    • 대한기계학회논문집A
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    • 제21권12호
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    • pp.2038-2046
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    • 1997
  • In this paper the instability of the system which has a disk and a mass-spring-damper system interacting through a medium having stiffness and damping is analyzed. To solve the equations of motion of this systme, it is assumed that the solution consists of the eigenfunctions which are the products of the Bessel functions and sine or cosine functions. The former represents the radial characteristics of the disk and the latter represents the circumferential characteristics. Using this assumed solution and the orthogonality of the eigenfunctions, the equations of motion can be transformed into a set of equations of motion with variables dependent only on the time. After this set is changed to the state equation, the eigenvalue problem can be made. Once the eigenvalues are calculated according to the angular velocity of the disk, the dynamic characteristics ofthis system is obtained. Because the thickness of the disk and the element characteristics of the mass-spring-damper system have important effects on the stability of the system, it will be understood how these factors affect the system and then a method to ameliorate the stability of the system with a disk will be presented.

DCT 영역에서의 인간의 시각적 특성을 이용한 정지 영상 워터마킹 방법 (Still Image Watermarking in the DCT Domain Using the Human Visual System)

  • 권오형;박래홍
    • 한국통신학회논문지
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    • 제30권12C호
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    • pp.1214-1221
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    • 2005
  • 본 논문에서는 DCT 평면에서 modulation transfer function (MTF)을 사용한 정지영상 워터마킹 방법을 제안하였다. 정지영상에 삽입된 워터마크의 가시성을 줄이기 위하여 인간의 시각적 특성을 나타내는 MTF를 사용하였다. 제안한 워터마킹 방법이 lowpass filtering 및 cropping 등의 공격에 강인한 특성을 나타내었다. 공간평면과 DCT 평면 사이의 에너지 상관관계를 이용하여 DCT 평면에서 삽입될 워터마크의 길이와 공간 평면에서 원하는 peak signal to noise ratio (PSNR)가 주어졌을 때 DCT 평면에서 워터마크 weighting factor를 구하는 식을 유도하였으며, 원하는 PSNR과 공간평면 및 DCT 평면에서 계산된 PSNR이 본 실험에서 사용한 7가지 영상에 대하여 최대 0.07dB이내로 오차를 나타내었다.

Molecular Dynamics Simulation Studies of Physico Chemical Properties of Liquid Pentane Isomers

  • 이승구;이송희
    • Bulletin of the Korean Chemical Society
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    • 제20권8호
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    • pp.897-904
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    • 1999
  • We have presented the thermodynamic, structural and dynamic properties of liquid pentane isomers - normal pentane, isopentane, and neopentane - using an expanded collapsed atomic model. The thermodynamic properties show that the intermolecular interactions become weaker as the molecular shape becomes more nearly spherical and the surface area decreases with branching. The structural properties are well predicted from the site-site radial, the average end-to-end distance, and the root-mean-squared radius of gyration distribution func-tions. The dynamic properties are obtained from the time correlation functions - the mean square displacement (MSD), the velocity auto-correlation (VAC), the cosine (CAC), the stress (SAC), the pressure (PAC), and the heat flux auto-correlation (HFAC) functions - of liquid pentane isomers. Two self-diffusion coefficients of liquid pentane isomers calculated from the MSD's via the Einstein equation and the VAC's via the Green-Kubo relation show the same trend but do not coincide with the branching effect on self-diffusion. The rotational re-laxation time of liquid pentane isomers obtained from the CAC's decreases monotonously as branching increases. Two kinds of viscosities of liquid pentane isomers calculated from the SAC and PAC functions via the Green-Kubo relation have the same trend compared with the experimental results. The thermal conductivity calculated from the HFAC increases as branching increases.

Novel quasi 3D theory for mechanical responses of FG-CNTs reinforced composite nanoplates

  • Alazwari, Mashhour A.;Daikh, Ahmed Amine;Eltaher, Mohamed A.
    • Advances in nano research
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    • 제12권2호
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    • pp.117-137
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    • 2022
  • Effect of thickness stretching on free vibration, bending and buckling behavior of carbon nanotubes reinforced composite (CNTRC) laminated nanoplates rested on new variable elastic foundation is investigated in this paper using a developed four-unknown quasi-3D higher-order shear deformation theory (HSDT). The key feature of this theoretical formulation is that, in addition to considering the thickness stretching effect, the number of unknowns of the displacement field is reduced to four, and which is more than five in the other models. Two new forms of CNTs reinforcement distribution are proposed and analyzed based on cosine functions. By considering the higher-order nonlocal strain gradient theory, microstructure and length scale influences are included. Variational method is developed to derive the governing equation and Galerkin method is employed to derive an analytical solution of governing equilibrium equations. Two-dimensional variable Winkler elastic foundation is suggested in this study for the first time. A parametric study is executed to determine the impact of the reinforcement patterns, nonlocal parameter, length scale parameter, side-t-thickness ratio and aspect ratio, elastic foundation and various boundary conditions on bending, buckling and free vibration responses of the CNTRC plate.

Static and stress analyses of bi-directional FG porous plate using unified higher order kinematics theories

  • Mohamed, Salwa;Assie, Amr E.;Mohamed, Nazira;Eltaher, Mohamed A.
    • Steel and Composite Structures
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    • 제45권3호
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    • pp.305-330
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    • 2022
  • This article aims to investigate the static deflection and stress analysis of bi-directional functionally graded porous plate (BDFGPP) modeled by unified higher order kinematic theories to include the shear stress effects, which not be considered before. Different shear functions are described according to higher order models that satisfy the zero-shear influence at the top and bottom surfaces, and hence refrain from the need of shear correction factor. The material properties are graded through two spatial directions (i.e., thickness and length directions) according to the power law distribution. The porosities and voids inside the material constituent are described by different cosine functions. Hamilton's principle is implemented to derive the governing equilibrium equation of bi-directional FG porous plate structures. An efficient numerical differential integral quadrature method (DIQM) is exploited to solve the coupled variable coefficients partial differential equations of equilibrium. Problem validation and verification have been proven with previous prestigious work. Numerical results are illustrated to present the significant impacts of kinematic shear relations, gradation indices through thickness and length, porosity type, and boundary conditions on the static deflection and stress distribution of BDFGP plate. The proposed model is efficient in design and analysis of many applications used in nuclear, mechanical, aerospace, naval, dental, and medical fields.

자동 발췌문/요약 시스템 구축에 관한 연구 - 학술지 논문기사를 중심으로 - (A Study on the Construction of the Automatic Extracts and Summaries - On the Basis of Scientific Journal Articles -)

  • 이태영
    • 한국문헌정보학회지
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    • 제39권3호
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    • pp.139-163
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    • 2005
  • 코퍼스 기반의 제 방법. 담화구조의 수사역할, 유사문장의 통합을 이용하여 발췌문과 기초적 요약문을 자동으로 작성하는 방법론을 구축하였다. 코퍼스에 따른 기법들의 효율적 한계치를 사전에 확인하였고 발췌/요약문의 신축적 작성을 위해서 요약문을 이루는 문장들의 수사역할을 목적, 배경, 방법, 결과. 결론 등으로 정하고 각각의 발췌기를 적용하였다. 발췌 성공률은 $90\%$이었다. 수사역할별로 선정된 문장의 합성과 분리를 위하여 유사도 공식을 이용한 유사문장의 통합, 불필요한 의미의 수식절, 삽입절의 제거, 짧은 문장들과 연결이 가능한 문장들의 합성을 시도하였다. 높은 발췌 성공률을 바탕으로 문장의 수사역할, 절의 용언어미 표징, 단서적 어구와 소재를 가미한 문장 정리 시스템의 개발이 요망된다.

어안렌즈 시야각의 광각화에 따른 조도저하의 원인과 개선방안에 관한 연구 (The Study of Fisheye Lens for the Causes of Rapid Illumination Drop and the Ways to Correct on an Image Sensor due to an Ultra Wide Angle of View)

  • 임천석
    • 한국광학회지
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    • 제23권5호
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    • pp.179-188
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    • 2012
  • 어안렌즈(fisheye lens)란 통상 초 광각의 시야각을 가지는 렌즈를 일컫는다. 초 광각의 시야각을 가지는 렌즈에서는 주변부시야각으로 갈수록 상의 조도가 급격히 저하하게 되는데, 본 논문에서는 이의 원인과 개선방안에 관해 논의한다. 왜냐하면 어안렌즈와 같은 초 광각의 렌즈에서는 기하광학적인 수차특성보다 오히려 시야각의 안정적인 확보가 광학적인 성능을 훨씬 더 좌우할 수 있기 때문이다. 그러므로 이를 위해, 먼저, 방향코사인벡터의 부호규약과 곡면 상에서의 법선벡터의 방향을 해석기하학적으로 다룬다. 이어서 해석기하학적인 논의를 바탕으로 조도저하의 다양한 원인들에 대해 수치 및 원리적인 분석을 실시하고, 개선에 대한 방안들을 제시한다.

Mechanical analysis of cutout piezoelectric nonlocal nanobeam including surface energy effects

  • Eltaher, Mohamed A.;Omar, Fatema-Alzahraa;Abdalla, Waleed S.;Kabeel, Abdallah M.;Alshorbagy, Amal E.
    • Structural Engineering and Mechanics
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    • 제76권1호
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    • pp.141-151
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    • 2020
  • This manuscript tends to investigate influences of nanoscale and surface energy on a static bending and free vibration of piezoelectric perforated nanobeam structural element, for the first time. Nonlocal differential elasticity theory of Eringen is manipulated to depict the long-range atoms interactions, by imposing length scale parameter. Surface energy dominated in nanoscale structure, is included in the proposed model by using Gurtin-Murdoch model. The coupling effect between nonlocal elasticity and surface energy is included in the proposed model. Constitutive and governing equations of nonlocal-surface perforated Euler-Bernoulli nanobeam are derived by Hamilton's principle. The distribution of electric potential for the piezoelectric nanobeam model is assumed to vary as a combination of a cosine and linear variation, which satisfies the Maxwell's equation. The proposed model is solved numerically by using the finite-element method (FEM). The present model is validated by comparing the obtained results with previously published works. The detailed parametric study is presented to examine effects of the number of holes, perforation size, nonlocal parameter, surface energy, boundary conditions, and external electric voltage on the electro-mechanical behaviors of piezoelectric perforated nanobeams. It is found that the effect of surface stresses becomes more significant as the thickness decreases in the range of nanometers. The effect of number of holes becomes significant in the region 0.2 ≤ α ≤ 0.8. The current model can be used in design of perforated nano-electro-mechanical systems (PNEMS).

DCT 평면에서의 비정상 시변 근전도 신호의 인식과 병렬처리컴퓨터를 이용한 실시간 구현 (Identification of Nonstationary Time Varying EMG Signal in the DCT Domain and a Real Time Implementation Using Parallel Processing Computer)

  • 이영석;이진;김성환
    • 대한의용생체공학회:의공학회지
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    • 제16권4호
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    • pp.507-516
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    • 1995
  • 근전도 신호(electromyogram)의 시변 비정상(time varying nonstationary) 특성은 신호의 정확한 모델링 및 인식에 제약 조건으로 받아들여 졌다. 특히, 최근 들어 장애자들을 위한 보철제어분야에서 근전도 신호를 이용한 기능적 전기 자극을 위한 FES(funcitonal electrical stimulation) 시스템에 있어 근전도 신호의 파라메터 인식은 중요한 요소로서 작용한다. 그러나, 근전도 신호는 자세의 변화 및 근육 피로도 등의 요인에 의해서 시변 비정상 특성을 띠고 있기 때문에 시간에 따라 변하는 인식 파라메터를 정확하게 인식할 수 있는 새로운 알고리즘의 개발과 실시간 처리가 가능한 컴퓨터 하드웨어의 설계가 요구된다. 따라서, 본 논문에서는 시평면의 근전도 신호를 이산 여현 변환(discrete cosine transform)을 이용하여 변환 평면으로 옮긴 다음 상태 방정식(state space equation)을 써서 변환 평면상에서의 AR(autoregressive) 모델을 세우고 주어진 근전도 신호에 대해 모델 파라메터를 추정하였으며, 제안한 알고리즘은 실시간 처리를 위하여 2개의 독립적인 중앙 연산 처리 장치를 갖춘 INMOS사의 IMS T-805 병렬 처리 컴퓨터를 이용하여 동시 다발적인 연산을 수행함으로서 알고리즘의 연산 효율을 높였다. 제안된 알고리즘의 타당성을 검증하기 위해 모델의 추정 오차에 영향을 미치는 입력 자기상관 행렬(input correlation matrix)의 condition number의 변화 및 평균자승오차(mean square error)를 구하여 기존의 SLS(sequential least square) 알고리즘과 비교하였다.

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