• 제목/요약/키워드: Elastic wave theory

검색결과 142건 처리시간 0.022초

Elasto-plastic stability of circular cylindrical shells subjected to axial load, varying as a power function of time

  • Sofiyev, A.H.;Schnack, E.;Demir, F.
    • Structural Engineering and Mechanics
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    • 제24권5호
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    • pp.621-639
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    • 2006
  • Stability of a cylindrical shell subject to a uniform axial compression, which is a power function of time, is examined within the framework of small strain elasto-plasticity. The material of the shell is incompressible and the effect of the elastic unloading is considered. Initially, employing the infinitesimal elastic-plastic deformation theory, the fundamental relations and Donnell type stability equations for a cylindrical shell have been obtained. Then, employing Galerkin's method, those equations have been reduced to a time dependent differential equation with variable coefficient. Finally, for two initial conditions applying a Ritz type variational method, the critical static and dynamic axial loads, the corresponding wave numbers and dynamic factor have been found. Using those results, the effects of the variations of loading parameters and the variations of power of time in the axial load expression as well as the variations of the radius to thickness ratio on the critical parameters of the shells for two initial conditions are also elucidated. Comparing results with those in the literature validates the present analysis.

슬래밍 충격하중을 고려한 선체 휘핑 해석 (Whipping analysis of hull girders considering slamming impact loads)

  • 박성환;이근배;임채환
    • 대한조선학회논문집
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    • 제37권3호
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    • pp.99-109
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    • 2000
  • 본 연구에서는 대파고 파랑 중을 항해하는 선박의 슬래밍 충격에 대한 선체 전체의 동적 탄성응답 해석법을 개발하였다. 선체구조는 전단효과를 고려하는 박판보 유한요소이론을 활용하였으며, 선체 각 단면에 작용하는 유체력은 통상의 선형 운동체 이론에 덧붙여 물체 경계의 비선형성을 고려하여 추정하였다. 즉 매 순간 선체와 파 입자간의 접수 형상을 고려하는 비선형 유체력 추정법을 모멘텀 슬래밍 이론에 근거하여 정식화하였다. 개발된 해석법의 검증을 위해 V형 단면 선형과 S-175 선형 모델을 대상으로 수치해석을 수행하였다. 시간 영역에 있어 각 단면에서의 파면에 대한 상대 변위 성분과 속도 성분들을 계산하였으며, 선체 중앙 단면에서의 굽힘 모멘트 값의 시간이력을 검토하였다.

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충격파력을 받는 케이슨 방파제의 동적 해석 모델 (An Efficient Model for Dynamic Analysis of Caisson Breakwaters under Impulsive Wave Loadings)

  • 박우선;안희도
    • 한국해안해양공학회지
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    • 제7권1호
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    • pp.108-115
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    • 1995
  • 본 논문에서는 충격파력을 받는 케이슨 방파제의 동적거동해석 모델에 대해서 연구하였다. 케이슨 구조는 강체로 가정하였으며, 기초사석 및 지반은 반무한탄성지반이론에 의거하여 가상 부가질량, 스프링 및 감쇠계수로 이상화하였다. 주파수 의존 유체의 부가질량 및 감쇠계수는 시간기억함수와 무한대 주파수에 대한 부가질량으로 나타내었다. 또한, 케이슨의 영구적 활동을 모의하기 위하여 수평방향의 스프링을 형성거동을 하는 비선형 스프링으로 모형화하였다. 수리실험치와 비교결과, 본 모델은 상당히 좋은 결과를 줌을 알 수 있었다. 케이슨의 동적 거동에 영향을 주는 주요 인자의 변화에 따른 민감도 해석을 수행하였으며, 케이슨의 영구적 활동거리 및 한계중량 예측에의 적용성조사를 위한 수치실험도 병행하였다.

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자동차 타이어의 Air-Pumping소음 예측을 위한 수치적 기법 (Numerical Method for Prediction of Air-pumping Noise by Car Tyre)

  • 김성태;정원태;정철웅;이수갑
    • 한국소음진동공학회논문집
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    • 제15권7호
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    • pp.788-798
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    • 2005
  • The monopole theory has long been used to model air-pumped effect from the elastic cavities in car tire. This approach models the change of an air as a Piston moving backward and forward on a spring and equates local air movements exactly with the volume changes of the system. Thus, the monopole theory has a restricted domain of applicability due to the usual assumption of a small amplitude acoustic wave equation and acoustic monopole theory This paper describes an approach to predict the air-pumping noise of a car tyre with CFD/Kirchhoff integral method. The tyre groove is simply modeled as piston-cavity-sliding door geometry and with the aid of CFD technique flow properties in the groove of rolling car tyre are acquired.'rhese unsteady flow data are used as a air-pumping source in the next CFD calculation of full tyre-road geometry. Acoustic far field is predicted from Kirchhoff integral method by using unsteady flow data in space and time which is provided by the CFD calculation of full tyre-road domain. This approach can cover the non-linearity of acoustic monopole theory with the aid of Non-linear governing equation in CFD calculation. The method proposed in this paper is applied to the prediction of air-pumping noise of simply modeled car tyre and through the predicted results, the influence of nonlinear effect on air-pumping noise propagation is investigated.

고속전철 가선계의 축소모델 개발에 관한 연구 (Development of a Dynamically Scaled Model of the Catenary for High Speed Railway)

  • 김정수
    • 한국철도학회논문집
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    • 제10권4호
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    • pp.409-413
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    • 2007
  • A dynamically scaled model of the catenary with a nominal scaling factor of 18.5:1 is designed and constructed. The motivation for developing such a model is the great difficulty of making accurate measurements on the full-scale catenary and the difficulty of making experimental modifications to it. The scaled model is designed to be dynamically equivalent to the full scale catenary with respect to the mass and elastic strength. The scaled model is partially verified by comparing linear vibration and wave characteristics with those predicted by the simulation study.

Prediction and assessment of nonlocal natural frequencies of DWCNTs: Vibration analysis

  • Asghar, Sehar;Naeem, Muhammad N.;Hussain, Muzamal;Taj, Muhammad;Tounsi, Abdelouahed
    • Computers and Concrete
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    • 제25권2호
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    • pp.133-144
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    • 2020
  • This paper aims to study vibration characteristics of chiral and zigzag double-walled carbon nanotubes entrenched on Donnell shell model. The Eringen's nonlocal elastic equations are being combined with Donnell shell theory to observe small scale response. Wave propagation is proposed technique to establish field equations of model subjected to four distinct end supports. A nonlocal model has been formulated to explore the frequency spectrum of both chiral and zigzag double-walled CNTs along with diversity of indices and nonlocal parameter. The significance of scale effect in relevance of length-to-diameter and thickness- to- radius ratios are discussed and displayed in detail. The numerical solution based on this nonlocal Donnell shell model can be further used to predict other frequency phenomena of double-walled and multi-walled CNTs.

Photothermoelastic interactions under Moore-Gibson-Thompson thermoelasticity

  • Kumar, Rajneesh;Sharma, Nidhi;Chopra, Supriya
    • Coupled systems mechanics
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    • 제11권5호
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    • pp.459-483
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    • 2022
  • In the present work, a new photothermoelastic model based on Moore-Gibson-Thompson theory has been constructed. The governing equationsfor orthotropic photothermoelastic plate are simplified for two-dimension model. Laplace and Fourier transforms are employed after converting the system of equations into dimensionless form. The problem is examined due to various specified sources. Moving normal force, ramp type thermal source and carrier density periodic loading are taken to explore the application of the assumed model. Various field quantities like displacements, stresses, temperature distribution and carrier density distribution are obtained in the transformed domain. The problem is validated by numerical computation for a given material and numerical obtained results are depicted in form of graphs to show the impact of varioustheories of thermoelasticity along with impact of moving velocity, ramp type and periodic loading parameters. Some special cases are also explored. The results obtained in this paper can be used to design various semiconductor elements during the coupled thermal, plasma and elastic wave and otherfieldsin thematerialscience, physical engineering.

Design of a ship model for hydro-elastic experiments in waves

  • Maron, Adolfo;Kapsenberg, Geert
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제6권4호
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    • pp.1130-1147
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    • 2014
  • Large size ships have a very flexible construction resulting in low resonance frequencies of the structural eigen-modes. This feature increases the dynamic response of the structure on short period waves (springing) and on impulsive wave loads (whipping). This dynamic response in its turn increases both the fatigue damage and the ultimate load on the structure; these aspects illustrate the importance of including the dynamic response into the design loads for these ship types. Experiments have been carried out using a segmented scaled model of a container ship in a Seakeeping Basin. This paper describes the development of the model for these experiments; the choice was made to divide the hull into six rigid segments connected with a flexible beam. In order to model the typical feature of the open structure of the containership that the shear center is well below the keel line of the vessel, the beam was built into the model as low as possible. The model was instrumented with accelerometers and rotation rate gyroscopes on each segment, relative wave height meters and pressure gauges in the bow area. The beam was instrumented with strain gauges to measure the internal loads at the position of each of the cuts. Experiments have been carried out in regular waves at different amplitudes for the same wave period and in long crested irregular waves for a matrix of wave heights and periods. The results of the experiments are compared to results of calculations with a linear model based on potential flow theory that includes the effects of the flexural modes. Some of the tests were repeated with additional links between the segments to increase the model rigidity by several orders of magnitude, in order to compare the loads between a rigid and a flexible model.

Subsidence estimation of breakwater built on loosely deposited sandy seabed foundation: Elastic model or elasto-plastic model

  • Shen, Jianhua;Wu, Huaicheng;Zhang, Yuting
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제9권4호
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    • pp.418-428
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    • 2017
  • In offshore area, newly deposited Quaternary loose seabed soils are widely distributed. There are a great number of offshore structures has been built on them in the past, or will be built on them in the future due to the fact that there would be no very dense seabed soil foundation could be chosen at planed sites sometimes. However, loosely deposited seabed foundation would bring great risk to the service ability of offshore structures after construction. Currently, the understanding on wave-induced liquefaction mechanism in loose seabed foundation has been greatly improved; however, the recognition on the consolidation characteristics and settlement estimation of loose seabed foundation under offshore structures is still limited. In this study, taking a semi-coupled numerical model FSSI-CAS 2D as the tool, the consolidation and settlement of loosely deposited sandy seabed foundation under an offshore breakwater is investigated. The advanced soil constitutive model Pastor-Zienkiewics Mark III (PZIII) is used to describe the quasi-static behavior of loose sandy seabed soil. The computational results show that PZIII model is capable of being used for settlement estimation problem of loosely deposited sandy seabed foundation. For loose sandy seabed foundation, elastic deformation is the dominant component in consolidation process. It is suggested that general elastic model is acceptable for subsidence estimation of offshore structures on loose seabed foundation; however, Young's modulus E must be dependent on the confining effective stress, rather than a constant in computation.

파랑으로 인한 불포화된 다층 해저지반의 거동;준해석적 방법 (Wave-Induced Response of Unsaturated and Multi-layered Seabed; A Semi-analytical Method)

  • 박종관
    • 한국지반공학회논문집
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    • 제15권6호
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    • pp.45-55
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    • 1999
  • 파랑에 의한 불포화된 해저지반의 거동, 액상화와 전단파괴에 대한 연구이다. 불포화된 지반은 유체가 채워진 다공성 탄성체로 모델화 하였다. 유체의 흐름과 토립자의 변형은 Biot의 이론에 따른 지배방정식으로 나타내었다. 이 방정식은 준해석적 방법으로 풀어 불포화된 다층의 지반에 대하여 응력과 간극수압을 평가하였다 준해석적 방법은 기존의 해석방법과 달리 다층의 이방성 지반을 연속적으로 해석할 수 있다. 해석결과에 의하면, 지반의 포화도는 불포화된 다층의 지반에서 응력과 간극수압의 크기에 가장 큰 영향을 미치고 있는 것으로 나타났다. 또한, 해석결과를 토대로 지반의 액상화 발생과 전단파괴에 대한 검토를 실시하였으며, 그 결과 최대 전단파괴가 발생된 깊이가 최대 액상화 발생지역 보다 깊은 것으로 나타났다.

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