• 제목/요약/키워드: Dynamic equation

검색결과 2,207건 처리시간 0.036초

Dynamic analysis of a transversely isotropic non-classical thin plate

  • Fadodun, Odunayo O.;Borokinni, Adebowale S.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Wind and Structures
    • /
    • 제25권1호
    • /
    • pp.25-38
    • /
    • 2017
  • This study investigates the dynamic analysis of a transversely isotropic thin plate. The plate is made of hyperelastic John's material and its constitutive law is obtained by taken the Frechect derivative of the highlighted energy function with respect to the geometry of deformation. The three-dimensional equation governing the motion of the plate is expressed in terms of first Piola-Kirchhoff's stress tensor. In the reduction to an equivalent two-dimensional plate equation, the obtained model generalizes the classical plate equation of motion. It is obtained that the plate under consideration exhibits harmonic force within its planes whereas this force varnishes in the classical plate model. The presence of harmonic forces within the planes of the considered plate increases the natural and resonance frequencies of the plate in free and forced vibrations respectively. Further, the parameter characterizing the transversely isotropic structure of the plate is observed to increase the plate flexural rigidity which in turn increases both the natural and resonance frequencies. Finally, this study reinforces the view that non-classical models of problems in elasticity provide ample opportunity to reveal important phenomena which classical models often fail to apprehend.

여러가지 자기장 배치 기법에 따른 자성유체 속도 및 압력 분포에 관한 수치해석적 연구 (Numerical analysis of the magnetic fluid velocity and pressure distribution according to the various magnetic field)

  • 송준호;이육형;배형섭
    • 한국기계가공학회지
    • /
    • 제7권2호
    • /
    • pp.31-37
    • /
    • 2008
  • In this paper, we analyzed the dynamic behavior of magnetic fluid in a circular pipe with multiple permanent magnets. Magnetic fluid react on magnetic field against the normal fluid. In other words, magnetic fluid flow has the electromagnetism and fluid mechanics. So magnetic fluids has studied about the fluids properties and experiment. In this paper we studied the magnetic fluids velocity and pressure distribution for the novel type actuator. Because the velocity and pressure distribution is the important element of the magnetic fluids flow. First, we analyzed the Maxwell equation for the multiple permanent magnet and then concluded the governing equations for the magnetic fluid flow using the equation of Navier-Stokes. And, we simulated the dynamic behavior of magnetic fluid flow using the FEM(Finite Element Method). And we illustrated the relation between magnetic field and dynamic behavior of magnetic fluid flow.

  • PDF

다중입출력 확률계의 지능재료를 이용한 제어에대한 실험적연구 (An Experimental Study on the Control of Stochastic Dynamic MIMO System using the Smart material)

  • 조경래;김용관;오수영;허훈;박상태
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2000년도 춘계학술대회논문집
    • /
    • pp.1292-1297
    • /
    • 2000
  • 외부로부터 불규칙 교란을 받는 동력학계에 대해 '허-확률 제어기법'을 이용하여 설계된 제어기의 성능을 수치모사를 통하여 검증하였다. 압전소자를 알루미늄 보에 부착하여 다중입출력의 복합재료보로 만들고, 기반에 불규칙한 외부교란을 받는계에 대한 모델링을 수행하였으며, Ito의 확률미분방정식과 F-P-K방정식을 이용하여 동적 모멘트 방정식을 유도하여 시스템의 확률영역에서의 특성을 알아보았다. 본 연구에서 제어기의 목표는 외부교란의 입력에 의해 발생하는 시스템의 모멘트 응답크기를 줄이는 방향으로 전개하였고, 확률영역에서의 MIMO PI제어기('허-확률 MIMO PI 제어기')를 설계하여 시간영역에서의 응답형태를 관찰하였다.

  • PDF

금융시장 전염 동적 검정 (Dynamic analysis of financial market contagion)

  • 이희수;김태윤
    • 응용통계연구
    • /
    • 제29권1호
    • /
    • pp.75-83
    • /
    • 2016
  • 본 연구에서는 금융시장 통합화에 따른 금융 시장 전염을 생물학적 전염개념에 기초하여 분석하는 검정 방법론을 제시하였다. 금융 시장 통합화를 측정하기 위하여 U-통계량을 사용하였고, 금융 시장 전염 검정을 위하여 단일방정식 오차수정 모형을 중심으로 잠재 요인모형, 분위수 회귀모형과 런검정을 사용하였다. 시뮬레이션결과 단일방정식 오차수정 모형이 자기상관을 갖는 오차항을 포함한 선형 회귀모형에서 비교적 높은 수준의 적합도를 일관성 있게 보여 주고 있다.

특수 적분해 경계요소법에 의한 2차원 및 3차원 동적 탄소성 응력 해석 (Inelastic Transient Dynamic Analysis of Two- and Three-dimensional Stress Problems by Particular Integral Boundary Element Method)

  • 김재석;;박경호
    • 한국전산구조공학회논문집
    • /
    • 제21권4호
    • /
    • pp.375-382
    • /
    • 2008
  • 본 연구는 2차원 및 3차원 동적 탄소성 응력 해석을 위한 특수 적분해 경계요소법의 공식 개발을 제시한다 정적 탄성에 대한 기본식이 일반해를 구하는데 이용되었으며, 전체형상함수 개념을 이용하여, 변위율과 traction rate의 특수 적분해를 구함으로써 지배 방정식의 가속도 부분을 근사화시켰다. 시간 적분을 위하여 Houbolt 시적분 방법을 이용하였으며, Newton-Raphson 알고리즘을 이용하여 수치 연산을 행하였다. 제시된 공식에 따른 예제 해석을 통하여 그 방법의 유효성과 정확성을 설명하였다.

반응고 재료에서 점성을 고려한 고상입자의 거동예측을 위한 수치모사 해석 (Dynamic Simulation of Solid Particle Considering Change by Viscosity in Rheology Material)

  • 권기영;강충길
    • 소성∙가공
    • /
    • 제18권1호
    • /
    • pp.26-38
    • /
    • 2009
  • It was reported that the semi-solid forming process has many advantages over the conventional forming process, such as a long die life, good mechanical properties and energy savings. It is very important, however, to control liquid segregation to gain mechanical property improvement of materials. During forming process, rheology material has complex characteristics, thixotropic behavior. Also, difference of velocity between solid and liquid in the semi-solid state material makes a liquid segregation and specific stress variation. Therefore, it is difficult for a numerical simulation of the rheology process to be performed. General plastic or fluid dynamic analysis is not suitable for the behavior of rheology material. The behavior and stress of solid particle in the rheology material during forging process is affected by viscosity, temperature and solid fraction. In this study, compression experiments of aluminum alloy were performed under each other tool shape which is rectangle shape(square array), rectangle shape(hexagonal array), and free shape tool. In addition, the dynamics behavior compare with Okano equation to power law model which is viscosity equation.

충격하중을 받는 구조부재의 탄소성 파괴해석 프로그램 개발 (Development of Elastic-Plastic Fracture Analysis Program for Structural Elements under an Impact Loadings)

  • 김경수;박준범
    • 대한조선학회논문집
    • /
    • 제35권1호
    • /
    • pp.61-71
    • /
    • 1998
  • 본 논문에서는 2차원 공간에서의 탄성 또는 탄소성응력파를 받는 구조부재의 동적 파괴거동을 다룬다. 이러한 문제에 대한 지배방정식은 운동방정식과 탄소성 구성방정식에 대한 증감식으로 구성된 쌍곡선 편미분 방정식으로 나타나고, 이를 풀기 위해 유한차분법을 기초로 한 Zwas방법이 도입된다. 또한 탄소성문제의 동적거동을 나타내기 위해 응력공간내 탄소성 loading path가 소성항복 현상을 모델링하는데 제안된다. 이러한 계산결과를 바탕으로 탄성체의 균열선단의 동적응력확대계수가 계산되어지고, 탄소성체에 대한 소성영역의 형상의 시간이력을 보여준다.

  • PDF

가동코일형 리니어 왕복 액추에이터의 동특성 (Dynamic Characteristics of Moving Coil Type Linear Oscillatory Actuator)

  • 장석명;정상섭;권철;박희창;문석준;박찬일;정태영
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
    • /
    • 제49권3호
    • /
    • pp.180-187
    • /
    • 2000
  • A moving-coil-type linear oscillatory actuator(LOA) consists of the NdFeB permanent magnets with high specific energy as the stator, a coil-wrapped nonmagnetic hollow rectangular structure. The LOA system was represented by the voltage equation of coil and the mechanical equation of motion. This set of equations was manipulated in state-space form. The EMF constant kE of equation parameters in state-space form can be obtained by using the induced voltage in armature coils at open circuit test. kE and other parameters provide the system matrices and transfer function for frequency response and dynamic simulation. Voltage source inverter-fed LOA is examined aiming to compare with results of simulation.

  • PDF

Influence of Dynamic Strain Aging on Tensile Deformation Behavior of Alloy 617

  • Ekaputra, I.M.W.;Kim, Woo-Gon;Park, Jae-Young;Kim, Seon-Jin;Kim, Eung-Seon
    • Nuclear Engineering and Technology
    • /
    • 제48권6호
    • /
    • pp.1387-1395
    • /
    • 2016
  • To investigate the dynamic strain aging (DSA) behavior of Alloy 617, high-temperature tensile tests were carried out with strain rates variations of $10^{-3}/s$, $10^{-4}/s$, and $10^{-5}/s$ from $24^{\circ}C$ to $950^{\circ}C$. Five flow relationships, Hollomon, Ludwik, Swift, Ludwigson, and Voce, were applied to describe the tensile true stress-strain curves, and the DSA region was defined. In describing the tensile curves, Ludwigson's equation was superior to the other equations, and the DSA region was adequately defined by this equation as plateaus at intermediate temperatures from $200^{\circ}C$ to $700^{\circ}C$. It was identified that Alloy 617 is dominated by three types of serrations, known as Types D, A+B, and C. The activation energy values for each serration type were obtained by the Arrhenius equation. By using the obtained activation energy values, the serrated yielding map and the DSA mechanism were drawn and manifested. In addition, the relationship between the tensile strength and strain rate at higher temperatures above $700^{\circ}C$ was found to be closely related to the amounts of slip lines. In the scanning electron microscope (SEM) fractographs, there was a significant difference at the low, intermediate, and high temperatures, but almost the same to the three strain rates.

레오로지 소재의 고상입자 변형거동 해석 (Solid Particle Behavior Analysis in Rheology Material by Fortran 90)

  • 권기영;강충길
    • 한국소성가공학회:학술대회논문집
    • /
    • 한국소성가공학회 2008년도 추계학술대회 논문집
    • /
    • pp.234-237
    • /
    • 2008
  • It was reported that the semi-solid forming process has many advantages over the conventional forming process, such as a long die life, good mechanical properties and energy savings. It is very important, however, to control liquid segregation to gain mechanical property improvement of materials. During forming process, Rheology material has complex characteristics, thixotropic behavior. Also, difference of velocity between solid and liquid in the semi-solid state material makes a liquid segregation and specific stress variation. Therefore, it is difficult for a numerical simulation of the rheology Process to be Performed. General Plastic or fluid dynamic analysis is not suitable for the behavior of rheology material. The behavior and stress of solid particle in the rheology material during forging process is affected by viscosity, temperature and solid fraction. In this study, compression experiments of aluminum alloy were performed under each other tool shape. In addition, the dynamics behavior compare with Okano equation to Power law model which is viscosity equation.

  • PDF