• 제목/요약/키워드: Kelvin model

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Vibration analysis of sandwich beam with nanocomposite facesheets considering structural damping effects

  • Cheraghbak, Ali;Dehkordi, M. Botshekanan;Golestanian, H.
    • Steel and Composite Structures
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    • 제32권6호
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    • pp.795-806
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    • 2019
  • In this paper, free vibration of sandwich beam with flexible core resting on orthotropic Pasternak is investigated. The top and bottom layers are reinforced by carbon nanotubes (CNTs). This sandwich structural is modeled by Euler and Frostig theories. The effect of agglomeration using Mori-Tanaka model is considered. The Eringen's theory is applied for size effect. The structural damping is investigated by Kelvin-voigt model. The motion equations are calculated by Hamilton's principle and energy method. Using analytical method, the frequency of the structure is obtained. The effect of agglomeration and CNTs volume percent for different parameter such as damping of structure, thickens and spring constant of elastic medium are presented on the frequency of the composite structure. Results show that with increasing CNTs agglomeration, frequency is decreased.

Mechanics of nonlocal advanced magneto-electro-viscoelastic plates

  • Ebrahimi, Farzad;Barati, Mohammad Reza;Tornabene, Francesco
    • Structural Engineering and Mechanics
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    • 제71권3호
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    • pp.257-269
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    • 2019
  • This paper develops a nonlocal strain gradient plate model for damping vibration analysis of smart magneto-electro-viscoelastic nanoplates resting on visco-Pasternak medium. For more accurate analysis of nanoplate, the proposed theory contains two scale parameters related to the nonlocal and strain gradient effects. Viscoelastic effect which is neglected in all previous papers on magneto-electro-viscoelastic nanoplates is considered based on Kelvin-Voigt model. Governing equations of a nonlocal strain gradient smart nanoplate on viscoelastic substrate are derived via Hamilton's principle. Galerkin's method is implemented to solve the governing equations. Effects of different factors such as viscoelasticity, nonlocal parameter, length scale parameter, applied voltage and magnetic potential on damping vibration characteristics of a nanoplate are studied.

Investigation of hyperbolic dynamic response in concrete pipes with two-phase flow

  • Zheng, Chuanzhang;Yan, Gongxing;Khadimallah, Mohamed Amiine;Nouri, Alireza Zamani;Behshad, Amir
    • Advances in concrete construction
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    • 제13권5호
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    • pp.361-365
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    • 2022
  • The objective of this study is to simulate the two-phase flow in pipes with various two-fluid models and determinate the shear stress. A hyperbolic shear deformation theory is used for modelling of the pipe. Two-fluid models are solved by using the conservative shock capturing method. Energy relations are used for deriving the motion equations. When the initial conditions of problem satisfied the Kelvin Helmholtz instability conditions, the free-pressure two-fluid model could accurately predict discontinuities in the solution field. A numerical solution is applied for computing the shear stress. The two-pressure two-fluid model produces more numerical diffusion compared to the free-pressure two-fluid and single-pressure two-fluid models. Results show that with increasing the two-phase percent, the shear stress is reduced.

Application of computer algorithms for modelling and numerical solution of dynamic bending

  • Jianzhong, Qiu;Naichang, Dai;Akbar Shafiei, Alavijeh
    • Steel and Composite Structures
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    • 제46권1호
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    • pp.143-152
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    • 2023
  • In this paper, static and dynamic bending of nanocomposite micro beam armed with CNTs considering agglomeration effect is studied. The structural damping is considered by Kelvin-Voigt model. The agglomeration effects are assumed using Mori-Tanaka model. The micro beam is modeled by third order shear deformation theory (TSDT). The motion equations are derived by principle of Hamilton's and energy method assuming size effects on the basis of Eringen theory. Using differential quadrature method (DQM) and Newmark method, the static and dynamic deflections of the structure are obtained. The effects of agglomeration and CNTs volume percent, damping of structure, nonlocal parameter, length and thickness of micro-beam are presented on the static and dynamic deflections of the nanocomposite structure. Results show that with increasing CNTs volume percent, the static and dynamic deflections are decreased. In addition, enhancing the nonlocal parameter yields to higher static and dynamic deflections.

점탄소성 모델을 이용한 ETFE 막재의 장기 크리프 거동 예측기법 연구 (Prediction Method of Long Term Creep Behavior for ETFE Foil by Using Viscoelastic-Plastic Model)

  • 김재열
    • 한국공간구조학회논문집
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    • 제14권3호
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    • pp.93-100
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    • 2014
  • Ethylene Tetrafluoroethylene (ETFE) has been widely used in long-span buildings because of its light weight and high transparency. This paper studies the short and long term creep behaviour of ETFE foil. A series of short-term creep and recovery tests were performed, in which the residual strain was observed. A long-term creep test of the ETFE foil was also performed over 110 days. A viscoelastic-plastic model was then established to describe the short-term creep and recovery behaviour. The model contains a traditional multi-Kelvin part and an added steady-flow component to represent the viscoelastic and viscoplastic behaviour, respectively. The model successfully fit the data for three stresses and six temperatures. Additionally, time-temperature equivalency was adopted to predict the long-term creep behaviour of ETFE foil. Horizontal shifting factors were determined from the process of shifting creep-curves at six temperatures. The long-term creep behaviours at three temperatures were predicted. Finally, the long-term creep test showed that the short-term creep test at identical temperatures insufficiently predicted additional creep behaviour, and the long-term test verified the horizontal shifting factors derived from the time-temperature equivalency.

Numerical simulation by the finite element method of the constructive steps of a precast prestressed segmental bridge

  • Gabriela G., Machado;Americo Campos, Filho;Paula M., Lazzari;Bruna M., Lazzari;Alexandre R., Pacheco
    • Structural Engineering and Mechanics
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    • 제85권2호
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    • pp.163-177
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    • 2023
  • The design of segmental bridges, a structure that typically employs precast prestressed concrete elements and the balanced cantilever construction method for the deck, may demand a highly complex structural analysis for increased precision of the results. This work presents a comprehensive numerical analysis of a 3D finite element model using the software ANSYS, version 21.2, to simulate the constructive deck stages of the New Guaiba Bridge, a structure located in Porto Alegre city, southern Brazil. The materials concrete and steel were considered viscoelastic. The concrete used a Generalized Kelvin model, with subroutines written in FORTRAN and added to the main model through the customization tool UPF (User Programmable Features). The steel prestressing tendons used a Generalized Maxwell model available in ANSYS. The balanced cantilever constructive steps of a span of the New Guaiba Bridge were then numerically simulated to follow the actual constructive sequence of the bridge. A comparison between the results obtained with the numerical model and the actual vertical displacement data monitored during the bridge's construction was carried out, showing a good correlation.

최소조파 저항성능을 갖는 최적 선수형상에 관한 연구 (A Study on the Optimal Forebody Forms for Minimum Wave Resistance)

  • 김성은
    • 대한조선학회논문집
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    • 제28권2호
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    • pp.28-39
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    • 1991
  • 조파저항과 마찰저항이 최소가 되는 선수형상을 구하기 위한 최적화문제에 관한 연구를 수행하였다. 선미부는 기존선형으로 고정하며 선수부만의 offsets을 설계변수로 하였다. 구하고자 하는 최적선형을 기존선형과 이에 대한 미소변화량으로 나누어 조파저항계산시 기존선형에는 Neumann-Kelvin 이론을 적용하고 미소변화량에는 thin ship 이론을 적용하였으며 마찰저항은 ITTC 1957 모형선-실선 상관곡선을 이용하였다. 선체표면을 모양함수(shape function)를 이용하여 근사시켰고, 이로부터 목적함수인 조파저항과 마찰저항은 offsets에 대한 2차식 형태로 표현되므로 선형구속조건을 적용하면 2차계획(quadratic programing)문제를 세울 수 있으며 complementary pivot method를 이용하여 해를 구하였다. 대상선형은 Series 60 $C_{B}$=0.6이고 Fn=0.289에서 최적화하였으며, 적절한 구속조건을 주어서 현실적인 최적선수형상을 구하고자 하였다. 본 방법으로 구한 최적선형은 thin ship 이론만을 이용하여 구한 선형과 비교할 때 설계속도 Fn=0.289에서 약간의 조파저항성능 개선(1.92%)를 가져왔다.

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동축 와류형 분사기의 연소안정성에 대한 분사기 리세스 및 연소실 길이의 영향 (Effects of Injector Recess and Combustion Chamber Length on Combustion Stability of Swirl Coaxial Injectors)

  • 박수진;황동현;안규복;윤영빈
    • 한국추진공학회지
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    • 제24권1호
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    • pp.24-33
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    • 2020
  • 본 연구에서는 액체로켓엔진용 동축 와류형 분사기의 연소불안정 특성을 파악하기 위해 기체 추진제를 이용한 모델 연소실험을 수행하였다. 연소실 공진 주파수와 분사기 혼합조건의 영향을 알아보고자, 연소실 길이, 분사기, 리세스 길이, 추진제 혼합비를 변경하면서 연소실 압력섭동을 측정하였다. 실험 결과, 각 실험조건에 따른 압력섭동 변화를 확인하였으며 안정성 매핑을 통해 연소안정성을 평가하였다. 그리고 연소실 길이와 리세스 길이 변화에 따라 종방향 모드 및 켈빈-헬름홀츠 불안정이 발생함을 발견하였다.

고무 마운트로 이산 지지되는 플로팅 슬래브 궤도의 실모형 실내 실험에서의 정적 및 저주파 대역 동적 거동 (Static and Dynamic Behavior at Low-Frequency Range of Floating Slab Track Discretely Supported by Rubber Mounts in Real-Scale Laboratory Test)

  • 황성호;장승엽;김은;박진철
    • 한국철도학회논문집
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    • 제15권5호
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    • pp.485-497
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    • 2012
  • 최근 철도의 소음, 진동에 대한 사회적 관심이 증가하면서, 철도 진동을 효과적으로 줄일 수 있는 플로팅 슬래브 궤도의 적용이 활발히 이루어 지고 있다. 본 연구에서는 플로팅 슬래브 궤도의 동적 거동을 보다 정확히 이해하기 위하여 실모형 실내 실험을 통해 정적 거동과 시스템 고유 진동수 부근의 저주파 대역에서 플로팅 슬래브 궤도의 동적 거동을 분석함으로써 플로팅 슬래브 궤도의 설계의 적정성과 설계에 적용되는 해석모델의 유효성을 입증하고자 하였다. 실험 및 유한요소 해석 결과에 따르면 플로팅 슬래브 궤도는 강체 모드 고유진동수보다 휨모드 고유 진동수에 가까운 대역에서 탁월 주파수가 나타나며 변형 형상도 휨모드가 가장 지배적인 모드가 되므로, 플로팅 슬래브 궤도의 설계 시에는 슬래브의 휨강성과 조인트 및 단부의 경계조건 등을 고려해야 한다. 또한 Kelvin-Voigt 모델을 사용한 2차원 유한요소 해석모델에 의한 해석 결과는 정적 및 동적 처짐, 하중 전달율 등 실험결과와 매우 잘 일치하는 것으로 나타나 플로팅 슬래브 궤도의 설계에 활용하기에 충분한 신뢰성을 가지고 있는 것으로 나타났다.

Forced vibration analysis of viscoelastic nanobeams embedded in an elastic medium

  • Akbas, Seref D.
    • Smart Structures and Systems
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    • 제18권6호
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    • pp.1125-1143
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    • 2016
  • Forced vibration analysis of a simple supported viscoelastic nanobeam is studied based on modified couple stress theory (MCST). The nanobeam is excited by a transverse triangular force impulse modulated by a harmonic motion. The elastic medium is considered as Winkler-Pasternak elastic foundation.The damping effect is considered by using the Kelvin-Voigt viscoelastic model. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero. The considered problem is investigated within the Timoshenko beam theory by using finite element method. The effects of the transverse shear deformation and rotary inertia are included according to the Timoshenko beam theory. The obtained system of differential equations is reduced to a linear algebraic equation system and solved in the time domain by using Newmark average acceleration method. Numerical results are presented to investigate the influences the material length scale parameter, the parameter of the elastic medium and aspect ratio on the dynamic response of the nanobeam. Also, the difference between the classical beam theory (CBT) and modified couple stress theory is investigated for forced vibration responses of nanobeams.