• 제목/요약/키워드: Elastic energy

검색결과 1,172건 처리시간 0.03초

Buckling analysis of double walled carbon nanotubes embedded in Kerr elastic medium under axial compression using the nonlocal Donnell shell theory

  • Timesli, Abdelaziz
    • Advances in nano research
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    • 제9권2호
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    • pp.69-82
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    • 2020
  • In this paper, a new explicit analytical formula is derived for the critical buckling load of Double Walled Carbon Nanotubes (DWCNTs) embedded in Winkler elastic medium without taking into account the effects of the nonlocal parameter, which indicates the effects of the surrounding elastic matrix combined with the intertube Van der Waals (VdW) forces. Furthermore, we present a model which predicts that the critical axial buckling load embedded in Winkler, Pasternak or Kerr elastic medium under axial compression using the nonlocal Donnell shell theory, this model takes into account the effects of internal small length scale and the VdW interactions between the inner and outer nanotubes. The present model predicts that the critical axial buckling load of embedded DWCNTs is greater than that without medium under identical conditions and parameters. We can conclude that the embedded DWCNTs are less susceptible to axial buckling than those without medium.

분포 마찰력을 받는 드럼 브레이크-슈의 동적안정성과 진동 (Dynamic Stability and Vibration of a Drum Brake Shoe under a Distributed Frictional Force)

  • Ryu, Bong-Jo;Ryu, Si-Ung;Yoshihiko Sugiyama;Oh, Boo-Jin
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 춘계학술대회논문집
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    • pp.207-212
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    • 2001
  • In this paper, dynamic stability and vibration characteristics of a flexible shoe in drum brake systems are investigated. The frictional force between the drum and the shoe is assumed as a distributed frictional force, while the shoe is modeled as an elastic beam supported by two translational springs at both ends and elastic foundations. Governing equations of motion are derived by energy expressions, and numerical results are calculated by finite element method. Through the numerical simulation, critical distributed frictional forces are calculated by changing the stiffness of two translational springs and elastic foundation parameters. It is also shown that the beam loses its stability by flutter and divergence depending on the stiffness of elastic supports and elastic foundation parameters. Finally, the time responses of the beam corresponding to their instability types are demonstrated.

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판형홀드다운 스프링 집합체의 탄성 강성도 해석 (Elastic Stiffness Analysis of Leaf Type Holddown Spring Assemblies)

  • Lim, Hyun-Tae;Kim, Jae-Won;Song, Kee-Nam
    • Nuclear Engineering and Technology
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    • 제27권5호
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    • pp.760-766
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    • 1995
  • Young's Modulus와 단지 기하학적 테이타를 이용하여 흘드다운스프링의 탄성강성도를 해석하는 방법을 제시하였다. 제시된 이 방법은 엔지니어링 빔이론과 카스티릴아노 이론을 이용하여 판형흘드다운스프링의 탄성강성도 해석에 적용하였다. 이러한 방법의 효율성과 신뢰성을 보여주기 위하여 제안된 방법으로 부터의 탄성강성도를 여러가지 형태의 홀드다운스프링의 시험결과와 비교하였다. 이러한 결과비교에 의해 제안된 방법이 판형홀드다운스프링의 탄성강성도를 구하는데 있어서 효과적임을 입증하였다.

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Topology optimization for thin plate on elastic foundations by using multi-material

  • Banh, Thien Thanh;Shin, Soomi;Lee, Dongkyu
    • Steel and Composite Structures
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    • 제27권2호
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    • pp.177-184
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    • 2018
  • This study contributes to evaluate multiphase topology optimization design of plate-like structures on elastic foundations by using classic plate theory. Multi-material optimal topology and shape are produced as an alternative to provide reasonable material assignments based on stress distributions. Multi-material topology optimization problem is solved through an alternative active-phase algorithm with Gauss-Seidel version as an optimization model of optimality criteria. Stiffness and adjoint sensitivity formulations linked to thin plate potential strain energy are derived in terms of multiphase design variables and Winkler-Pasternak parameters considering elastic foundation to apply to the current topology optimization. Numerical examples verify efficiency and diversity of the present topology optimization method of elastic thin plates depending on multiple materials and Winkler-Pasternak parameters with the same amount of volume fraction and total structural volume.

마찰력을 받는 드럼 브레이크-슈의 동적안정성 (Dynamic Stability of a Drum Brake Shoe under a Frictional Force)

  • 류봉조;류시웅;;오부진;김효준
    • 한국소음진동공학회논문집
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    • 제11권6호
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    • pp.216-222
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    • 2001
  • The paper presents the dynamic stability of a flexible shoe in drum brake systems subjected to a frictional force. The frictional force between the drum and the shoe is assumed as a distributed frictional force, while the shute is modeled as an elastic beam supported by two translational springs at both ends and elastic foundations. Governing equations of motion are derived by energy expressions, and their numerical results are obtained by employing the finite element method. The critical distributed frictional force and the instability regions are demonstrated by changing the stiffness of two translational springs and elastic foundation parameters. It is also shown that the beam loses its stability by flutter and divergence depending on the stiffness of elastic supports and elastic foundation parameters. Time responses of beams corresponding to their instability types are also demonstrated.

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Dynamic Routing and Spectrum Allocation with Traffic Differentiation to Reduce Fragmentation in Multifiber Elastic Optical Networks

  • ZOUNEME, Boris Stephane;ADEPO, Joel;DIEDIE, Herve Gokou;OUMTANAGA, Souleymane
    • International Journal of Computer Science & Network Security
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    • 제21권3호
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    • pp.1-10
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    • 2021
  • In recent decades, the heterogeneous and dynamic behavior of Internet traffic has placed new demands on the adaptive resource allocation of the optical network infrastructure. However, the advent of multifiber elastic optical networks has led to a higher degree of spectrum fragmentation than conventional flexible grid networks due to the dynamic and random establishment and removal of optical connections. In this paper, we propose heuristic routing and dynamic slot allocation algorithms to minimize spectrum fragmentation and reduce the probability of blocking future connection requests by considering the power consumption in elastic multifiber elastic optical networks.

A POSTERIORI ERROR ESTIMATOR FOR HIERARCHICAL MODELS FOR ELASTIC BODIES WITH THIN DOMAIN

  • Cho, Jin-Rae;J. Tinsley Oden
    • Journal of Theoretical and Applied Mechanics
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    • 제3권1호
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    • pp.16-33
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    • 2002
  • A concept of hierarchical modeling, the newest modeling technology. has been introduced early In 1990. This nu technology has a goat potential to advance the capabilities of current computational mechanics. A first step to Implement this concept is to construct hierarchical models, a family of mathematical models which are sequentially connected by a key parameter of the problem under consideration and have different levels in modeling accuracy, and to investigate characteristics In their numerical simulation aspects. Among representative model problems to explore this concept are elastic structures such as beam-, arch-. plate- and shell-like structures because the mechanical behavior through the thickness can be approximated with sequential accuracy by varying the order of thickness polynomials in the displacement or stress fields. But, in the numerical analysis of hierarchical models, two kinds of errors prevail: the modeling error and the numerical approximation errors. To ensure numerical simulation quality, an accurate estimation of these two errors Is definitely essential. Here, a local a posteriori error estimator for elastic structures with thin domain such as plate- and shell-like structures Is derived using element residuals and flux balancing technique. This method guarantees upper bounds for the global error, and also provides accurate local error Indicators for two types of errors, in the energy norm. Comparing to the classical error estimators using flux averaging technique, this shows considerably reliable and accurate effectivity indices. To illustrate the theoretical results and to verify the validity of the proposed error estimator, representative numerical examples are provided.

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탄성방정식을 이용한 3경간 연속곡선교의 영향선에 관한 연구 (Influence Line of Three- span Continuous Curved Box-Girder Bridge using Elastic Equation)

  • 장병순;장준환;김수정
    • 한국전산구조공학회논문집
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    • 제14권4호
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    • pp.423-434
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    • 2001
  • 본 논문은 도로의 선형이 곡선일때, 곡선상에 설치되는 곡선교를 해석함에 있어 에너지법에 기초하여 휨과 순수비틂 효과를 고려한 탄성방정식을 이용한다. 이 탄성방정식은 부정정 구조인 연속곡선박스거더의 정역학적 부정정력을 최소 일의 원리를 적용하여 구한다. 곡선박스거더에 수직단위하중과 단위토크를 작용시켜 전단력, 휨모멘트, 순수비틂모멘트, 그리고 처짐과 회전각에 대한 영향선을 구하며, 실제 하중이 작용할 때 곡선박스거더의 부재력을 구할 수 있도록 하였다.

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음향방출을 이용한 mortar 재료의 미시적 파괴거동에 관한 연구 (A Study on Microscopic Fractrue Behavior of Mortar Using Acoustic Emission)

  • 이준현;이진경;장일영;윤동진
    • 콘크리트학회지
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    • 제10권6호
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    • pp.203-211
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    • 1998
  • 고체내부의 미소파괴시 발생하는 탄성파 방출을 이용하는 음향방출기법은 구조물 또는 재료 내부의 미시적 변형기구를 이해하는데 매우 유익한 수단으로 최근 각 분야에서 다양하게 응용되고 있다. 따라서 본 연구에서는 모르타르 부재의 휨재하 시험시 부재 내부에 발생하는 미시적 손상거동 및 파괴특성을 시험시 연속적으로 모니터링한 AE 신호특성으로부터 평가하였다. 나아가 삼각법을 이용한 2차원 AE 발생원 위치추정으로부터 시험체 노치선단 주변에 대한 AE 발생원 위치를 명확히 하였으며 이들 결과로부터 미소균열의 성장 거동을 연속적으로 모니터링 하였다.

Contact analysis of spherical ball and a deformable flat model with the effect of tangent modulus

  • Sathish Gandhi, V.C.;Ramesh, S.;Kumaravelan, R.;Thanmanaselvi, M.
    • Structural Engineering and Mechanics
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    • 제44권1호
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    • pp.61-72
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    • 2012
  • The paper is on contact analysis of a spherical ball with a deformable flat, considering the effect of tangent modulus on the contact parameters of a non-adhesive frictionless elastic-plastic contact. The contact analysis of this model has been carried out using analysis software Ansys and Abaqus. The contact parameters such as area of contact between two consecutive steps, volume of bulged material are evaluated from the formulated equations. The effect of the tangent modulus is considered for determining these parameters. The tangent modulus are accounted between 0.1E and 0.5E of materials E/Y value greater than 500 and less than 1750. Result shows that upto an optimal tangent modulus values the elastic core push up to the free surface in the flat. The simulation is also carried out in Abaqus and result provide evidence for the volume of bulged material in the contact region move up and flow into the free surface of the flat from the contact edge between the ball and flat. The strain energy of the whole model is varied between 20 to 40 percentage of the stipulated time for analysis.