• 제목/요약/키워드: Dynamic-elastic Deformation

검색결과 243건 처리시간 0.025초

이방성재료 접합 띠판에 대한 면외 동적계면균열 (Mode III Dynamic Interfacial Crack in Bonded Anisotropic Strip Under Anti-Plane Deformation)

  • 박재완;최성렬
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 추계학술대회논문집A
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    • pp.111-116
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    • 2000
  • A semi-infinite interfacial crack propagated with constant velocity in two bonded anisotropic strip under out-of-plane clamped displacements is analyzed. The asymptotic stress and displacement fields near the crack tip are obtained, where the results get more general expressions applicable not only to isotropic/orthotropic materials but also to the extent of the anisotropic material having one plane of elastic symmetry for the interfacial crack. The dynamic stress intensity factor is obtained as a closed form, which is decreased as the velocity of crack propagation increases. The critical velocity where the stress intensity factor comes to zero is obtained, which agrees with the lower value between the critical values of parallel crack merged in the material 1 and 2 adjacent to the interface. The dynamic energy release rate is also obtained as a form related to the stress intensity factor.

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Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory

  • Simsek, Mesut
    • Steel and Composite Structures
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    • 제11권1호
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    • pp.59-76
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    • 2011
  • Dynamic analysis of an embedded single-walled carbon nanotube (SWCNT) traversed by a moving nanoparticle, which is modeled as a moving load, is investigated in this study based on the nonlocal Timoshenko beam theory, including transverse shear deformation and rotary inertia. The governing equations and boundary conditions are derived by using the principle of virtual displacement. The Galerkin method and the direct integration method of Newmark are employed to find the dynamic response of the SWCNT. A detailed parametric study is conducted to study the influences of the nonlocal parameter, aspect ratio of the SWCNT, elastic medium constant and the moving load velocity on the dynamic responses of SWCNT. For comparison purpose, free vibration frequencies of the SWCNT are obtained and compared with a previously published study. Good agreement is observed. The results show that the above mentioned effects play an important role on the dynamic behaviour of the SWCNT.

An accurate analytical exploration for dynamic response of thermo-electric CNTRC beams under driving harmonic and constant loads resting on Pasternak foundation

  • Mohammadreza Eghbali;Seyed Amirhosein Hosseini
    • Advances in nano research
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    • 제16권6호
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    • pp.549-564
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    • 2024
  • This paper aims to analyze the dynamic response of thermoelectric carbon nanotube-reinforced composite (CNTRC) beams under moving harmonic load resting on Pasternak elastic foundation. The governing equations of thermoelectric CNTRC beam are obtained based on the Karama shear deformation beam theory. The beams are resting on the Pasternak foundation. Previous articles have not performed the moving load mode with the analytical method. The exact solution for the transverse and axial dynamic response is presented using the Laplace transform. A comparison of previous studies has been published, where a good agreement is observed. Finally, some examples were used to analyze, such as excitation frequency, voltage, temperature, spring constant factors, the volume fraction of Carbon nanotubes (CNTs), the velocity of a moving harmonic load, and their influence on axial and transverse dynamic and maximum deflections. The advantages of the proposed method compared to other numerical methods are zero reduction of the error percentage that exists in numerical methods.

Size-dependent free vibration and dynamic analyses of a sandwich microbeam based on higher-order sinusoidal shear deformation theory and strain gradient theory

  • Arefi, Mohammad;Bidgoli, Elyas Mohammad-Rezaei;Zenkour, Ashraf M.
    • Smart Structures and Systems
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    • 제22권1호
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    • pp.27-40
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    • 2018
  • The governing equations of motion are derived for analysis of a sandwich microbeam in this paper. The sandwich microbeam is including an elastic micro-core and two piezoelectric micro-face-sheets. The microbeam is subjected to transverse loads and two-dimensional electric potential. Higher-order sinusoidal shear deformation beam theory is used for description of displacement field. To account size dependency in governing equations of motion, strain gradient theory is used to mention higher-order stress and strains. An analytical approach for simply-supported sandwich microbeam with short-circuited electric potential is proposed. The numerical results indicate that various types of parameters such as foundation and material length scales have significant effects on the free vibration responses and dynamic results. Investigation on the influence of material length scales indicates that increase of both dimensionless material length scale parameters leads to significant changes of vibration and dynamic responses of microbeam.

The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate

  • Boulefrakh, Laid;Hebali, Habib;Chikh, Abdelbaki;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • 제18권2호
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    • pp.161-178
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    • 2019
  • In this research, a simple quasi 3D hyperbolic shear deformation model is employed for bending and dynamic behavior of functionally graded (FG) plates resting on visco-Pasternak foundations. The important feature of this theory is that, it includes the thickness stretching effect with considering only 4 unknowns, which less than what is used in the First Order Shear Deformation (FSDT) theory. The visco­Pasternak's foundation is taken into account by adding the influence of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The equations of motion for thick FG plates are obtained in the Hamilton principle. Analytical solutions for the bending and dynamic analysis are determined for simply supported plates resting on visco-Pasternak foundations. Some numerical results are presented to indicate the effects of material index, elastic foundation type, and damping coefficient of the foundation, on the bending and dynamic behavior of rectangular FG plates.

Finite element analysis of ratcheting on beam under bending-bending loading conditions

  • Sk. Tahmid Muhatashin Fuyad;Md Abdullah Al Bari;Md. Makfidunnabi;H.M. Zulqar Nain;Mehmet Emin Ozdemir;Murat Yaylaci
    • Structural Engineering and Mechanics
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    • 제89권1호
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    • pp.23-31
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    • 2024
  • Ratcheting is the cyclic buildup of inelastic strain on a structure resulting from a combination of primary and secondary cyclic stress. It can lead to excessive plastic deformation, incremental collapse, or fatigue. Ratcheting has been numerically investigated on a cantilever beam, considering the current study's primary and secondary bending loads. In addition, the effect of input frequency on the onset of ratcheting has been investigated. The non-linear dynamic elastic-plastic approach has been utilized. Analogous to Yamashita's bending-bending ratchet diagram, a non-dimensional ratchet diagram with a frequency effect is proposed. The result presents that the secondary stress values fall sequentially with the increase of primary stress values. Moreover, a displacement amplification factor graph is also established to explain the effect of frequency on ratchet occurrence conditions. In terms of frequency effect, it has been observed that the lower frequency (0.25 times the natural frequency) was more detrimental for ratchet occurrence conditions than the higher frequency (2 times the natural frequency) due to the effect of dynamic displacement. Finally, the effect of material modeling of ratcheting behavior on a beam is shown using different hardening coefficients of kinematic hardening material modeling.

SM490강재의 동적반복소성모델의 정식화 및 3차원 탄소성 유한요소해석의 적용 (Formulation of Dynamic Cyclic Plasticity Model for SM490 and Its Application to 3-Dimensional Elastic-Plastic Finite Element Analysis)

  • 장경호;장갑철
    • 대한토목학회논문집
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    • 제26권3A호
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    • pp.465-471
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    • 2006
  • 지진과 같은 동적 반복하중을 받는 강구조물의 이력거동을 구현하기 위해서는 사용된 강재의 정 동적 상태에서의 응력-변형률 관계 및 특성을 고려한 동적반복소성모델이 필요하다. 본 연구에서는 SM490강재의 정 동적 단조 및 반복하중 실험을 수행하여 역학적 특성 및 응력-변형률 관계를 명확히 하였다. 그리고 실험결과에 기초하여 SM490강재의 동적반복소성모델을 제안하였으며 이를 유한변위이론에 기초한 3차원 탄소성 유한요소해석에 적용하였다. 실험시편을 모델링하여 정 동적 단조, 반복 및 변형률속도변화에 따른 3차원 탄소성 유한요소해석을 수행하였으며 이를 실험결과와 비교하였다. 비교를 통하여 본 연구에서 개발한 해석기법이 강부재의 정 동적 변형상태를 정도있게 예측할 수 있음을 검증하였다.

철도노반의 탄성변위 예측 및 측정을 통한 회복탄성계수 모델 평가 (An Assessment of a Resilient Modulus Model by Comparing Predicted and Measured Elastic Deformation of Railway Trackbeds)

  • 박철수;김은정;오상훈;김학성;목영진
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 추계 학술발표회
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    • pp.1404-1414
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    • 2008
  • In the mechanistic-empirical trackbed design of railways, the resilient modulus is the key input parameter. This study focused on the resilient modulus prediction model, which is the functions of mean effective principal stress and axial strain, for three types of railroad trackbed materials such as crushed stone, weathered soil, and crushed-rock soil mixture. The model is composed with the maximum Young's modulus and nonlinear values for higher strain in parallel with dynamic shear modulus. The maximum values is modeled by model parameters, $A_E$ and the power of mean effective principal stress, $n_E$. The nonlinear portion is represented by modified hyperbolic model, with the model parameters of reference strain, ${\varepsilon}_r$ and curvature coefficient, a. To assess the performance of the prediction models proposed herein, the elastic response of a test trackbed near PyeongTaek, Korea was evaluated using a 3-D nonlinear elastic computer program (GEOTRACK) and compared with measured elastic vertical displacement during the passages of freight and passenger trains. The material types of sub-ballasts are crushed stone and weathered granite soil, respectively. The calculated vertical displacements within the sub-ballasts are within the order of 0.6mm, and agree well with measured values with the reasonable margin. The prediction models are thus concluded to work properly in the preliminary investigation.

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치형수정된 기어구동계의 비선형 동특성 해석 (Nonlinear Dynamic Characteristics of Gear Driving System with Tooth Modification)

  • Cho, Yun-Su;Park, Yeon-Sun
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문초록집
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    • pp.311.1-311
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    • 2002
  • To reduce the vibration of a gear driving system, the modification of gear tooth from the orignal involute gear profile is usually done in gear manufacturers. The quantity of the tooth modification has been decided on the basis of the intereference between two gear teeth during gear meshing and the elastic deformation due to loading. (omitted)

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공기윤활 포일 베어링의 특성해석 (An Analysis of Characteristics of Air-Lubricated Foil Journal Bearings)

  • 김종수;이준형;최상규
    • Tribology and Lubricants
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    • 제17권2호
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    • pp.97-108
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    • 2001
  • This paper describes the development of performance analysis technique for a leaf-type gas lubricated fail bearing. Stiffness coefficient and frictional damping due to the slip between all contacts of leaves are evaluated for various leaf structures. The fluid film thickness and pressure distribution are computed but it is not considered the elastic deformation by film pressure. The analysis results include the effects that the curvature radius and the length of leaf and the friction coefficient have on the static and dynamic characteristics of the foil bearings.