• 제목/요약/키워드: Beam-on-spring model

검색결과 139건 처리시간 0.022초

Analysis of the strain energy release rate for time-dependent delamination in multilayered beams with creep

  • Rizov, Victor I.
    • Advances in materials Research
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    • 제11권1호
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    • pp.41-57
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    • 2022
  • This paper is focused on delamination analysis of a multilayered inhomogeneous viscoelastic beam subjected to linear creep under constant applied stress. The viscoelastic model that is used to treat the creep consists of consecutively connected units. Each unit consists of one spring and two dashpots. The number of units in the model is arbitrary. The modulus of elasticity of the spring in each unit changes with time. Besides, the modulii of elasticity and the coefficients of viscosity change continuously along the thickness, width and length in each layer since the material is continuously inhomogeneous in each layer of the beam. A time-dependent solution to the strain energy release rate for the delamination is derived. A time-dependent solution to the J-integral is derived too. A parametric analysis of the strain energy release rate is carried-out by applying the solution derived. The influence of various factors such as creep, material inhomogeneity, the change of the modulii of elasticity with time and the number of units in the viscoelastic model on the strain energy release rate are clarified.

끝단 질량과 일반적인 단부조건을 갖는 변단면 보의 자유진동 (Free Vibrations of Tapered Beams with General Boundary Conditions and Tip Masses)

  • 오상진;이병구;박광규;이종국
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.802-807
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    • 2003
  • The purpose of this paper is to investigate the free vibration characteristics of tapered beams with translational and rotational springs and tip masses at the ends. The beam model is based on the classical Bernoulli-Euler beam theory. The governing differential equation for the free vibrations of linearly tapered beams is solved numerically using the corresponding boundary conditions. Numerical results are compared with existing solutions by other methods for cases in which they are available. The lowest three natural frequencies are calculated over a wide range of non-dimensional system parameters: the translational spring parameter, the rotational spring parameter, the mass ratio and the dimensionless mass moment of inertia.

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철도 궤도의 동특성 측정 및 건전도 모니터링 (Measurement dynamic properties of railways and health monitoring)

  • 이제필;박준홍
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 추계학술대회 논문집
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    • pp.816-816
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    • 2009
  • In order to attenuate structural waves in railway track, damped mass-spring absorber system and spring supported system are considered that are attached continuously along the beam length. A mathematical model is presented for the propagation of structural waves on a finitely long, periodically supported classical beam. The model in this paper could represent a railway track where the beam represents the rail and an appropriately chosen support type represents the pad/sleeper/ballast system of a railway track. And in this study, it is presented that the measurement method of health monitoring of railway track.

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운영 중 해저 터널의 안정성 평가를 위한 역해석 프로그램 개발: 횡단방향 (The development of a back analysis program for subsea tunnel stability under operation: transversal tunnel section)

  • 안준상;김병찬;이상현;송기일
    • 한국터널지하공간학회 논문집
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    • 제19권2호
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    • pp.195-212
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    • 2017
  • 운영 중 해저 터널의 안정성 평가에 응력, 수압 그리고 라이닝 및 주변지반의 강성 열화 등과 같은 다양한 계측 정보를 사용해서 역해석하면, 효율적인 오차율 이내의 결과를 획득할 수 있다. 선행 연구에서 검증된 차분진화 알고리즘 기반의 역해석 수행 시 FLAC3D 등 범용 지반해석 프로그램을 사용했지만, 상대적으로 해석시간이 오래 걸리고, 제어가 어려운 단점이 있다. 이러한 이유로, 본 연구에서는 상대적으로 해석시간이 짧게 소요되는 beam-spring 모델 기반의 FEM solver를 도입하였다. 원형 터널 단면의 구조해석이 가능한 beam-spring 프로그램을 Python 언어로 개발하여, 기구축된 차분진화 알고리즘과 결합하였다. 계측 데이터로부터 실시간에 가깝게 운영 중 터널의 안정성 평가가 가능할 것으로 판단된다.

더블앵글로 접합된 골조의 수평처짐 (Story Drift of a Frame with Column Flange Bolted-Beam Web Welded Double Angle Connections)

  • 양재근;김호근;김기환
    • 한국공간구조학회논문집
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    • 제3권3호
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    • pp.95-103
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    • 2003
  • Frame is one of the most commonly used structural systems for the resistance of applied loads. Many researchers have recently conducted their studies to investigate the effect of several parameters such as the connection flexibility, boundary condition of each support, beam-to-column stiffness ratio. These parameters play important roles on the characteristic behavior of frames. A simplified spring model is proposed to obtain the story drifts of frames with various beam-to-column connection stiffnesses in this research. A point bracing system with adequate spring stiffness is also suggested to establish the relationship between the applied load and the resisting translational spring stiffness within the limit state of story drift.

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Vibration suppression of a double-beam system by a two-degree-of-freedom mass-spring system

  • Rezaiee-Pajand, Mohammad;Sani, Ahmad Aftabi;Hozhabrossadati, Seyed Mojtaba
    • Smart Structures and Systems
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    • 제21권3호
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    • pp.349-358
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    • 2018
  • This paper investigates the free vibration analysis of double-beam system coupled by a two-degree-of-freedom mass-spring system. In order to generalize the model, the main beams are assumed to be elastically restrained against translation and rotation at one end and free at the other. Furthermore, the mass-spring system is elastically connected to the beams at adjustable positions by means of four translational and rotational springs. The governing differential equations of the beams and the mass-spring system are derived and analytically solved by using the Fourier transform method. Moreover, as a second way, a finite element solution is derived. The frequency parameters and mode shapes of some diverse cases are obtained using both methods. Comparison of obtained results by two methods shows the accuracy of both solutions. The influence of system parameters on the free vibration response of the studied mechanical system is examined.

승용차 복합재 코일스프링 개발을 위한 설계변수들의 결정 (A Determination of Design Parameters for Application of Composite Coil Spring in a Passenger Vehicle)

  • 오성하;최복록
    • 한국기계가공학회지
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    • 제12권1호
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    • pp.77-83
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    • 2013
  • This paper presents the feasibility on the application of composite coil spring, which has great interest in the automobile industry. In order to obtain much lighter weight of the composite spring, it will be necessary to optimize the design variables such as fiber angles and diameter of coil, etc. First of all, mechanical properties were measured to consider the effects of FVR and ply angles for carbon fiber composite material. And the shear modulus with respect to ply angles were derived based on twisting angles calculated by torsional beam model. Next we determined the design parameters of composite coil spring, which has equivalent spring rate to the steel coil spring. In order to assess the proposed method, finite element model of the composite spring was developed and analysed to obtain the spring constant. The results showed that static spring rate of the composite spring was in a good agreement with that of steel spring.

Numerical analysis of beams with damping subjected to dynamic loading

  • A.A. Mosallaie Barzoki;M. Saadantia;Hamed Karami
    • Earthquakes and Structures
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    • 제24권2호
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    • pp.91-96
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    • 2023
  • In this article, the vibration response of elastic nanocomposite beams with enhanced damping by nanoparticles is presented based on the mathematical model. Damp construction is considered by spring and damper elements based on the Kelvin model. Exponential shear deformation beam theory (ESDBT) has been used to model the structure. The mixed model model is used to obtain the effective properties of the structure including compaction effects. Using the energy method and Hamilton's principle, the equations of motion are calculated. The beam frequency is obtained by analytical method. The purpose of this work is to investigate the effect of volume percentage of nanoparticles and density, length and thickness of the beam on the frequency of the structure. The results show that the frequency increases with the increase in volume percentage of nanoparticles.

공동기초상 복합 전단벽 구조물의 모델링 기법 (Modeling Techniques of the Complex Shear Wall Structure on a Common Foundation)

  • 김종수
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 1997년도 춘계 학술발표회 논문집 Proceedings of EESK Conference-Fall 1997
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    • pp.241-248
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    • 1997
  • The super-structure in a soil-structure interaction analysis is commonly idealized as lumped parameter system. In this study, the complex shear wall structure is modeled using three different kinds of modeling techniques : 1) full FEM comparatively as an exact solution, 2)equivalent shear spring model assuming mainly shear deformations of the wall, 3) equivalent beam-stick model made by independent static analysis. Dynamic characteristics due to three different modeling methods are compared and investigated before performing structural response analysis. The beam-stick model in comparison to shear spring model gives closer dynamic responses when compared with the full FEM, even though it requires additional unit load static analyses.

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끝단에 스프링과 질량을 가진 단진보의 자유진동해석 (Free Vibration Analysis of a Stepped Cantilever Beam with a Mass and a Spring at the End)

  • 유춘성;홍동표;정태진;정길도
    • 대한기계학회논문집A
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    • 제20권9호
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    • pp.2812-2818
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    • 1996
  • A cantilever beam with a mass and a spring at the end can be use to model a miniature flexible arm. It is necessary to know the natural frequencies and mode shapes to discuss its free vibration, especially when modal analysis is employed. A beam is clamped-free. In this paper we look at the lateral vibration of beams that have step changes in the properties of their cross sections. The frequency equation is derived by Bernoulli-Euler formulation and is sloved by the separation of variable. The parameters of the beam, 'mass and spring stiffness' are defined as nondimensionalized parameters for wide application of the results. According to the change of eigenvalues and mode shape are presented for this beam. The results presented are the eigenvalues and the natural frequencies for the first three modes of vibration. Results show that the parameters have a significant effect on the natural frequency.