• 제목/요약/키워드: Differential analysis

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미분변환법을 이용한 회전외팔보의 자유진동해석 (Free Vibration Analysis of a Rotating Cantilever Beam by Using Differential Transformation Method)

  • 신영재;지영철;윤종학;유영찬
    • 대한기계학회논문집A
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    • 제31권3호
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    • pp.331-337
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    • 2007
  • Rotating cantilever beams can be found in several practical engineering applications such as turbine blades and helicopter rotor blades. For reliable and economic design, it is necessary to estimate the dynamic characteristics of those structures accurately and efficiently since significant variation of dynamic characteristics resulted from rotational motion of the structures. Recently, Differential Transformation Method(DTM) was proposed by Zhou. This method has been applied to fluid dynamics and vibration problems, and has shown accuracy, efficiency and convenience in solving differential equations. The purpose of this study, the free vibration analysis of a rotating cantilever beam, is to seek for the reliable property of DTM and confidence in the results obtained by this method by comparing the results with that of finite element method applied to linear partial differential equations. In particular, this study is worked by supposing optional T-function values because the equations governing chordwise motion are based on two differential equations coupled with each other. This study also shows mode shapes of rotating cantilever beams for various rotating speeds.

소비가치가 외모관리행동에 미치는 영향 - 차별적, 물질적, 실용적 가치를 중심으로 - (The Effects of Consumption Values on Appearance Management Behaviors - Differential, Material and Practical Value-)

  • 김인숙;김은혜
    • 한국의류산업학회지
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    • 제16권6호
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    • pp.897-907
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    • 2014
  • The purposes of this study are to classify consumption values and to examine the effects of consumption values on appearance management behaviors. Questionnaires data was obtained through adults over 20 years old of age (N=478) in Gyeonggi-do, Daegu and Kyungpook regions. Descriptive statistics, factor analysis, multiple regression analysis, t-test and ANOVA were applied. The results of this study are as follows. First, consumption values are composed of three factors such as differential value, material value and practical value. Appearance management behaviors are identified such as surgery/skin care, clothing care, weight training and hair care. The weight training in appearance management behaviors is the most preferred behavior. Second, the results of regression analysis are like as follows: The effects of consumption on plastic surgery/skin care are explained by the differential value, material value and practical value(-). On weight training and hair care, the differential value and material value have positively significant effects. The differential value has significant effects on all over appearance management behaviors. Third, there are signigicant differences in consumption values and appearance management behaviors according to demographic variables. The single, females in 20s and 30s with higher monthly income and payment have higher differential value and lower practical value. The single and female in 20s and 30s were more involved in appearance management behavior.

Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method

  • Yesilce, Yusuf;Catal, Seval
    • Structural Engineering and Mechanics
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    • 제31권4호
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    • pp.453-475
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    • 2009
  • The literature regarding the free vibration analysis of Bernoulli-Euler and Timoshenko beams on elastic soil is plenty, but the free vibration analysis of Reddy-Bickford beams on elastic soil with/without axial force effect using the Differential Transform Method (DTM) has not been investigated by any of the studies in open literature so far. In this study, the free vibration analysis of axially loaded Reddy-Bickford beam on elastic soil is carried out by using DTM. The model has six degrees of freedom at the two ends, one transverse displacement and two rotations, and the end forces are a shear force and two end moments in this study. The governing differential equations of motion of the rectangular beam in free vibration are derived using Hamilton's principle and considering rotatory inertia. Parameters for the relative stiffness, stiffness ratio and nondimensionalized multiplication factor for the axial compressive force are incorporated into the equations of motion in order to investigate their effects on the natural frequencies. At first, the terms are found directly from the analytical solutions of the differential equations that describe the deformations of the cross-section according to the high-order theory. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the governing differential equations of the motion. The calculated natural frequencies of one end fixed and the other end simply supported Reddy-Bickford beam on elastic soil using DTM are tabulated in several tables and figures and are compared with the results of the analytical solution where a very good agreement is observed and the mode shapes are presented in graphs.

부동침하 영향을 고려한 원형 배수지 구조의 3차원 모델링 지진 해석 (Three-dimensional Modeling Seismic Analysis of Circular Water Reservoirs considering Differential Settlement Effects)

  • 이상열;최형배;안광식;정교철
    • 지질공학
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    • 제31권1호
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    • pp.43-53
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    • 2021
  • 본 연구에서는 부동침하 영향을 고려하여 지진 하중을 받는 1,300 ton 규모의 스테인리스 배수지 구조에 대한 3차원 유한요소 해석을 수행하였다. 1,000 ton 규모 이상의 대용량에 대한 지진하중은 한국표준 규격 규정으로부터 확장하여 산정하였다. 부동침하가 발생한 배수지는 특히 지진하중에 대하여 구조적 거동에 중요한 영향이 발생할 수 있다. 다양한 하중 조합에 대하여 정상상태의 경우, 침하가 고려된 경우, 그리고 수평으로 보강된 경우에 대한 응력 및 변위 분포의 변화를 도출하였다. 수치해석 결과로부터 부동침하가 발생된 배수지는 지진하중 조합에 대하여 최대 변위가 크게 증가하게 됨을 확인할 수 있었다.

THE COMBINED MODIFIED LAPLACE WITH ADOMIAN DECOMPOSITION METHOD FOR SOLVING THE NONLINEAR VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS

  • HAMOUD, AHMED A.;GHADLE, KIRTIWANT P.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제21권1호
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    • pp.17-28
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    • 2017
  • A combined form of the modified Laplace Adomian decomposition method (LADM) is developed for the analytic treatment of the nonlinear Volterra-Fredholm integro differential equations. This method is effectively used to handle nonlinear integro differential equations of the first and the second kind. Finally, some examples will be examined to support the proposed analysis.

평형 차동 Switched-capacitor 대역 통과 필터의 특성 해석 (Characteristic Analysis of balanced differential Switched-capacitor bandpass Filter)

  • 이교성;김광수;김양모
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 F
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    • pp.1896-1898
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    • 1998
  • Balanced differential SCF with common-mode reject fully differential SC network is introduced. Through simulation, performance of balanced differential bandpass SCF and its potentiality of practical application is proposed.

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LVDS(Low Voltage Differential Signaling) Interface Logic을 이용한 신호전달 특성 분석 (Analysis on Signal Transmission Specific property using Low Voltage Differential Signaling Interface Logic)

  • 김석환;최익서;허창우
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2002년도 추계종합학술대회
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    • pp.473-476
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    • 2002
  • 고도로 발달된 정보화 시대에서 우리가 원하는 정보를 짧은 시간, 적은 비용으로 서로 주고받기 위해서는 이것에 맞는 시스템이 요구된다. 반도체 chip의 대용량과 고속화됨으로써 TTL, LVTTL 등이 data 100Mbps 정도를 안전하게 전달 할 수 있는 능력이 있으므로 그 이상을 전달할 수 있는 새로운 Logic level이 필요하게 되었다. 이에 맞추어 신호 level의 여러 가지 중 본 논문에서는 Virtex II XC2V 1000 FF896을 이용하여 Differential I/O LVDS(Low Voltage Differential Signaling) level 특성을 clock, Data와의 전송 관계를 Eye_Pattern을 통해 살펴보았다.

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EXISTENCE AND UNIQUENESS RESULTS FOR SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INITIAL TIME DIFFERENCE

  • Nanware, J.A.;Dawkar, B.D.;Panchal, M.S.
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.1035-1044
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    • 2021
  • Existence and uniqueness results for solutions of system of Riemann-Liouville (R-L) fractional differential equations with initial time difference are obtained. Monotone technique is developed to obtain existence and uniqueness of solutions of system of R-L fractional differential equations with initial time difference.

Acrylic Polyol 함량을 달리한 폴리우레탄 제품의 형태학적 열적 및 동적·기계적 성질 (Morphological, Thermal and Dynamic Mechanical Properties of Polyurethane Product with Various Contents of Acrylic Polyol)

  • 김태성;박찬영
    • Elastomers and Composites
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    • 제48권4호
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    • pp.276-281
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    • 2013
  • acrylic polyol로 개질한 polyester형 polyurethane foam을 quasi prepolymer법으로 제조하였다. 열적 및 동적 기계적 성질은 thermal gravimetric analysis 및 dynamic mechanical analysis에 의하여 분석하였다. 또한 유리전이온도는 differential scanning calorimeter로 측정하였다. Acrylic polyol 함량이 증가함에 따라 TGA에 의해 측정한 열적 안정성은 약간 감소하였다. 그리고 acrylic polyol 함량이 증가함에 따라 저장 탄성률은 증가한 반면에 tan delta 값은 감소하였다.

Two-dimensional curved panel vibration and flutter analysis in the frequency and time domain under thermal and in-plane load

  • Moosazadeh, Hamid;Mohammadi, Mohammad M.
    • Advances in aircraft and spacecraft science
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    • 제8권4호
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    • pp.345-372
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    • 2021
  • The analysis of nonlinear vibrations, buckling, post-buckling, flutter boundary determination and post-flutter behavior of a homogeneous curved plate assuming cylindrical bending is conducted in this article. Other assumptions include simply-supported boundary conditions, supersonic aerodynamic flow at the top of the plate, constant pressure conditions below the plate, non-viscous flow model (using first- and third-order piston theory), nonlinear structural model with large deformations, and application of mechanical and thermal loads on the curved plate. The analysis is performed with constant environmental indicators (flow density, heat, Reynolds number and Mach number). The material properties (i.e., coefficient of thermal expansion and modulus of elasticity) are temperature-dependent. The equations are derived using the principle of virtual displacement. Furthermore, based on the definitions of virtual work, the potential and kinetic energy of the final relations in the integral form, and the governing nonlinear differential equations are obtained after fractional integration. This problem is solved using two approaches. The frequency analysis and flutter are studied in the first approach by transferring the handle of ordinary differential equations to the state space, calculating the system Jacobin matrix and analyzing the eigenvalue to determine the instability conditions. The second approach discusses the nonlinear frequency analysis and nonlinear flutter using the semi-analytical solution of governing differential equations based on the weighted residual method. The partial differential equations are converted to ordinary differential equations, after which they are solved based on the Runge-Kutta fourth- and fifth-order methods. The comparison between the results of frequency and flutter analysis of curved plate is linearly and nonlinearly performed for the first time. The results show that the plate curvature has a profound impact on the instability boundary of the plate under supersonic aerodynamic loading. The flutter boundary decreases with growing thermal load and increases with growing curvature.