• 제목/요약/키워드: lumped element

검색결과 227건 처리시간 0.027초

An analysis of robust stability for time delay systems based on lyapunov type operator equation

  • E. Shimemura;K. Uchida;A. Kojima
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1989년도 한국자동제어학술회의논문집; Seoul, Korea; 27-28 Oct. 1989
    • /
    • pp.901-906
    • /
    • 1989
  • A robust stability problem for time delay systems is discussed by using a property of Lyapunov type operator equation. We propose a method to check the robust stability against the parameter perturbations occurring in both lumped parameter part and distributed delay element.

  • PDF

Use of equivalent spring method for free vibration analyses of a rectangular plate carrying multiple three-degree-of-freedom spring-mass systems

  • Wu, Jia-Jang
    • Structural Engineering and Mechanics
    • /
    • 제21권6호
    • /
    • pp.713-735
    • /
    • 2005
  • Due to the complexity of mathematical expressions, the literature concerning the free vibration analysis of plates carrying multiple three-degree-of-freedom (dof) spring-mass systems is rare. In this paper, the three degrees of freedom (dof's) for a spring-mass system refer to the translational motion of its lumped mass in the vertical ($\bar{z}$) direction and the two pitching motions of its lumped mass about the two horizontal ($\bar{x}$ and $\bar{y}$) axes. The basic concept of this paper is to replace each three-dof spring-mass system by a set of equivalent springs, so that the free vibration characteristics of a rectangular plate carrying any number of three-dof spring-mass systems can be obtained from those of the same plate supported by the same number of sets of equivalent springs. Since the three dof's of the lumped mass for each three-dof spring-mass system are eliminated to yield a set of equivalent springs, the total dof of the entire vibrating system is not affected by the total number of the spring-mass systems attached to the rectangular plate. However, this is not true in the conventional finite element method (FEM), where the total dof of the entire vibrating system increases three if one more three-dof spring-mass system is attached to the rectangular plate. Hence, the computer storage memory required by using the presented equivalent spring method (ESM) is less than that required by the conventional FEM, and the more the total number of the three-dof spring-mass systems attached to the plate, the more the advantage of the ESM. In addition, since manufacturing a spring with the specified stiffness is much easier than making a three-dof spring-mass system with the specified spring constants and mass magnitude, the presented theory of replacing a three-dof spring-mass system by a set of equivalent springs will be also significant from this viewpoint.

단락 개방 Calibration 방법을 이용한 MIM 커패시터의 기생 소자 값 추출 (A Parasitic Elements Extraction of MIM Capacitor Using Short-Open Calibration Method)

  • 김유선;남훈;임영석
    • 대한전자공학회논문지TC
    • /
    • 제45권8호
    • /
    • pp.114-120
    • /
    • 2008
  • 본 논문에서는 단락 개방 Calibration (SOC) 방법을 이용하여 MIM 구조로 구성된 커패시터의 기생 소자 값들을 추출하였다. Strip line 으로 구성된 short, open, MIM 구조들의 산란 파라미터 행렬들은 전자기 시뮬레이터 및 벡터 네트웍 분석기를 이용하여 측정되었다. 전자기 시뮬레이션들은 3차원 구조 해석에 적합해왔던 유한 유소법 (FEM)을 이용하여 수행되었다. 적층 구조 내부에 형성된 MIM 커패시터의 전자기 영향들은 집중 소자들로 구성된 II 형 등가 회로로 제안되었고, 2 포트 네트웍 해석을 수행함으로써, 측정된 산란 파라미터들과 등가회로 소자들 간의 관계를 보였다. 제안된 SOC 방법을 이용하여 추출된 집중 소자들은 주파수 독립적인 결과를 나타낸다.

A new formulation of cracking in concrete structures based on lumped damage mechanics

  • Daniel V.C. Teles;Rafael N. Cunha;Ricardo A. Picon;David L.N.F. Amorim;Yongtao Bai;Sergio P.B. Proenca;Julio Florez-Lopez
    • Structural Engineering and Mechanics
    • /
    • 제88권5호
    • /
    • pp.451-462
    • /
    • 2023
  • Lumped Damage Mechanics (LDM) is a theory proposed in the late eighties, which assumes that structural collapse may be analyzed as a two-phase phenomenon. In the first (pre-localization) stage, energy dissipation is a continuous process and it may be modelled by means of the classic versions of the theory of plasticity or Continuum Damage Mechanics (CDM). The second, post-localization, phase can be modelled assuming that energy dissipation is lumped in zones of zero volume: inelastic hinges, hinge lines or localization surfaces. This paper proposes a new LDM formulation for cracking in concrete structures in tension. It also describes its numerical implementation in conventional finite element programs. The results of three numerical simulations of experimental tests reported in the literature are presented. They correspond to plain and fiber-reinforced concrete specimens. A fourth simulation describes also the experimental results of a new test using the digital image correlation technique. These numerical simulations are also compared with the ones obtained using conventional Cohesive Fracture Mechanics (CFM). It is then shown that LDM conserves the advantages of both, CDM and CFM, while overcoming their drawbacks.

등가물성 및 집중용량법을 이용한 리튬-이온 전지의 열해석 (Thermal Analysis of Lithium-ion Cell Using Equivalent Properties and Lumped Capacitance Method)

  • 이희원;박일석
    • 대한기계학회논문집B
    • /
    • 제37권8호
    • /
    • pp.775-780
    • /
    • 2013
  • 일반적으로 전기자동차(Electric Vehicle, EV)의 배터리로는 리튬-이온 전지가 많이 사용된다. 리튬-이온 전지는 충전이 가능한 이차 전지의 일종으로 마이크로 스케일의 극판과 분리막이 반복하여 적층된 구조를 가지고 있다. 이와 같은 미세구조로 인해 상세해석모형을 적용하는 것은 지나치게 많은 비용이 소모되는 일이다. 본 연구에서는 리튬-이온 전지를 하나의 등가물성으로 나타내는 방법을 제시하고 있으며, 185.3Ah 전지와 20Ah 전지에 이를 적용하여 그 결과를 이전자료와 비교하고 있다. 또한 집중용량법을 적용한 계산 결과를 함께 제시하여 유한요소법(FEM)이나 유한체적법(FVM)의 사용 없이 손쉽게 전지의 열적 거동을 확인할 수 있는 방법을 제시하였다.

집중질량을 고려한 보강된 사다리꼴 주름판의 진동해석 (Vibration Analysis of Trapezoidal Corrugated Plates with Stiffeners and Lumped Masses)

  • 정강;김영완
    • 한국소음진동공학회논문집
    • /
    • 제24권5호
    • /
    • pp.414-420
    • /
    • 2014
  • In this paper, the vibration characteristics of the trapezoidal corrugated plate with axial stiffeners and lumped masses are investigated by the analytical method. The corrugated plate can be treated as an equivalent orthotropic plate as this plate has different flexure properties in two perpendicular directions; flexible in the corrugation direction and stiff in the transverse direction. The effective extensional and flexural stiffness of the equivalent plate are considered to obtain the precise solution in the analysis. The plate is stiffened by concentric stiffeners horizontally to the corrugation direction. The discrete stiffener theory is adopted to consider the position of stiffener. To demonstrate the validity of the proposed approach, the comparison is made with the results of 3D ANSYS finite element solutions. Some numerical results are presented to check the effect of the geometric properties.

Evaluating the spread plasticity model of IDARC for inelastic analysis of reinforced concrete frames

  • Izadpanaha, Mehdi;Habibi, AliReza
    • Structural Engineering and Mechanics
    • /
    • 제56권2호
    • /
    • pp.169-188
    • /
    • 2015
  • There are two types of nonlinear analysis methods for building frameworks depending on the method of modeling the plastification of members including lumped plasticity and distributed plasticity. The lumped plasticity method assumes that plasticity is concentrated at a zero-length plastic hinge section at the ends of the elements. The distributed plasticity method discretizes the structural members into many line segments, and further subdivides the cross-section of each segment into a number of finite elements. When a reinforced concrete member experiences inelastic deformations, cracks tend to spread form the joint interface resulting in a curvature distribution. The program IDARC includes a spread plasticity formulation to capture the variation of the section flexibility, and combine them to determine the element stiffness matrix. In this formulation, the flexibility distribution in the structural elements is assumed to be the linear. The main objective of this study is to evaluate the accuracy of linear flexibility distribution assumed in the spread inelasticity model. For this purpose, nonlinear analysis of two reinforced concrete frames is carried out and the linear flexibility models used in the elements are compared with the real ones. It is shown that the linear flexibility distribution is incorrect assumption in cases of significant gravity load effects and can be lead to incorrect nonlinear responses in some situations.

비선형 휨 및 전단 힌지 사이의 불평형력 해소를 위한 수렴계산 기법 (An Iterative Scheme for Resolving Unbalanced Forces Between Nonlinear Flexural Bending and Shear Springs in Lumped Plasticity Model)

  • 김유석
    • 한국지진공학회논문집
    • /
    • 제26권6호
    • /
    • pp.227-235
    • /
    • 2022
  • For a member model in nonlinear structural analysis, a lumped plastic model that idealizes its flexural bending, shear, and axial behaviors by springs with the nonlinear hysteretic model is widely adopted because of its simplicity and transparency compared to the other rigorous finite element methods. On the other hand, a challenging task in its numerical solution is to satisfy the equilibrium condition between nonlinear flexural bending and shear springs connected in series. Since the local forces between flexural and shear springs are not balanced when one or both springs experience stiffness changes (e.g., cracking, yielding, and unloading), the additional unbalanced force due to overshooting or undershooting each spring force is also generated. This paper introduces an iterative scheme for numerical solutions satisfying the equilibrium conditions between flexural bending and shear springs. The effect of equilibrium iteration on analysis results is shown by comparing the results obtained from the proposed method to those from the conventional scheme, where the equilibrium condition is not perfectly satisfied.

Dynamic Condensation Method를 이용한 차량-교량계의 동적해석 (Dynamic Analysis of Vehicle-Bridge System by the Dynamic Condensation Method)

  • 한재익;이경동
    • 한국구조물진단유지관리공학회 논문집
    • /
    • 제2권2호
    • /
    • pp.177-184
    • /
    • 1998
  • The equation of motion on the vehicle-bridge system is established as the simultaneous equations which are combined the equation of vehicle and bridge by the interaction elements. A vehicle element is modeled as lumped masses supported by springs and dashpots, and a bridge element with pavement roughness is modeled as beam elements. An interaction element is defined to consist of a bridge element and the suspension units of the vehicle resting on the element. By the dynamic condensation method, the degrees of the freedom are eliminated, and compared with all the degrees of freedom on the bridge, the efforts of calculation is decreased. Thus, although a very small computational error is occured, the present technique appears to be computationally more efficient. It is particularly suitable for the simulation of bridges with a series of vehicles moving on the deck.

  • PDF