• 제목/요약/키워드: loading nonlinearity

검색결과 126건 처리시간 0.02초

접촉계면 반사 초음파의 음향 비선형 특성 (Acoustic Nonlinear Characteristics of Ultrasonic Wave Reflected at Contact Interfaces)

  • 박병준;이태훈;김정석;장경영
    • 비파괴검사학회지
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    • 제31권1호
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    • pp.40-46
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    • 2011
  • 닫힘균열과 같은 고체-고체의 접촉계면에서 접촉 음향 비선형성을 평가하기 위해 벌크 투과파를 이용하는 기존의 전통적인 음향 비선형 기술의 경우 현장 적용하는데 있어서 송수신 탐촉자를 장착하기 위해 구조물 내부로 접근하는 것은 접근한계성의 어려움이 있다. 본 연구에서, 고체-고체의 접촉계면에서 음향 비선형성을 측정하기 위해 새로운 반사기법을 제안하였고 이는 대상재료의 동일한 면에서 송신과 수신을 하여 현장 적용성에 매우 편리한 기법이다. 이를 위해, 접촉압력에 대한 멱함수 모델를 통한 선형 그리고 비선형 강성을 추정하고 이를 기반으로 계면에서 반사된 초음파의 비선형 파라미터를 이론적으로 계산하였다. A16061-T6 시편에 대한 접촉압력에 따른 접촉계면 실험 결과들은 이론적인 예측과 매우 잘 일치하였으며 따라서 본 연구에서 제안된 반사모드 기술의 유효성을 검증하였다.

평면 원호아치의 좌굴해석을 위한 동적 비선형해석 프로그램의 개발 (Development of Nonlinear Dynamic Program for Buckling Analysis of Plane Circular Arches)

  • 허택녕;오순택
    • 전산구조공학
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    • 제7권1호
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    • pp.69-81
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    • 1994
  • 본 논문은 형상의 비선형성을 고려한 큰 동하중을 받는 낮은 원호아치의 동적해석에 관한 연구이다. 따라서 낮은 원호아치를 대상으로 동적 비선형 해석을 수행하고 임계좌굴하중을 구할 수 있는 컴퓨터 프로그램을 개발하는데 주안점을 둔다. 형상의 비선형성은 Lagrangian 운동좌표를 고려하여 해석하였으며 비선형 동적 운동방정식을 풀기 위하여 유한요소법을 사용하였다. 개발된 프로그램을 사용하여 만재 방사형 등분포하중을 받는 원호아치를 해석하고, 그 결과를 다른 연구결과와 비교하여 검증하였다. 또한 여러가지의 형상의 아치에 대한 좌굴 해석을 실시하여 임계좌굴하중을 구하였으며 기존의 연구와 비교하여 정확성을 확인하였다. 모형해석을 통해서 큰 동하중을 받는 원호아치는 기하학적 비선형 거동을 고려하여 해석되어야 하며 아치가 낮아질수록 좌굴발생 가능성이 높아짐을 알 수 있다.

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형상불완전을 갖는 철근 콘크리트 축대칭 쉘의 동적 특성 (Dynamic Characteristics of Reinforced concrete axisymmetric shell with shape imperfection)

  • 조진구
    • 한국농공학회지
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    • 제42권5호
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    • pp.151-159
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    • 2000
  • Dynamic loading of structures often causes excursions of stresses will into the inelastic range and the influence of geometry changes on the response is also significant in may cases. In general , the shell structures designed according to quasi-Static analysis may collapse under condition of dynamic loading. Therefore, for a more realistic prediction on the lad carrying capacity of these shell. both material and geometric nonlinear effects should be considered. In this study , the material nonlinearity effect on the dynamic response is formulated by the elasto-viscoplastic model highly corresponding to the real behavior of the material. Also, the geometrically nonlinear behavior is taken into account using a Total Lagrangian formulation. the reinforcing bars are modeled by the equivalent steel layer at the location of reinforcements, and Von Mises yield criteria is adopted for the steel layer behavior. Also, Drucker-Prager yield criteria is applied for the behavior of concrete. the shape imperfection of dome is assumed as 'dimple type' which can be expressed Wd1=Wd0(1-(r-a)m)n while the shape imperfection of wall is assumed as sinusoidal curve which is Wwi =Wwo sin(n $\pi$y/l). In numerical test, three cases of shape imperfection of 0.0 -5.0cm(opposite direction to loading ; inner shape imperfection)and 5cm (direction to loading : outward shape imperfection) and thickness of steel layer determined by steel ratio of 0,3, and 5% were analyzed. The effect of shape imperfection and steel ratio and behavior characteristics of perfect shape shell and imperfect shape shell are identified through analysis of above mentioned numerical test. Dynamic behaviors of dome and wall according toe combination of shape imperfection and steel ratio are also discussed in this paper.

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Seismic response analysis of buried oil and gas pipelines-soil coupled system under longitudinal multi-point excitation

  • Jianbo Dai;Zewen Zhao;Jing Ma;Zhaocheng Wang;Xiangxiang Ma
    • Earthquakes and Structures
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    • 제26권3호
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    • pp.239-249
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    • 2024
  • A new layered shear continuum model box was developed to address the dynamic response issues of buried oil and gas pipelines under multi-point excitation. Vibration table tests were conducted to investigate the seismic response of buried pipelines and the surrounding soil under longitudinal multi-point excitation. A nonlinear model of the pipeline-soil interaction was established using ABAQUS finite element software for simulation and analysis. The seismic response characteristics of the pipeline and soil under longitudinal multi-point excitation were clarified through vibration table tests and simulation. The results showed good consistency between the simulation and tests. The acceleration of the soil and pipeline exhibited amplification effects at loading levels of 0.1 g and 0.2 g, which significantly reduced at loading levels of 0.4 g and 0.62 g. The peak acceleration increased with increasing loading levels, and the peak frequency was in the low-frequency range of 0 Hz to 10 Hz. The amplitude in the frequency range of 10 Hz to 50 Hz showed a significant decreasing trend. The displacement peak curve of the soil increased with the loading level, and the nonlinearity of the soil resulted in a slower growth rate of displacement. The strain curve of the pipeline exhibited a parabolic shape, with the strain in the middle of the pipeline about 3 to 3.5 times larger than that on both sides. This study provides an effective theoretical basis and test basis for improving the seismic resistance of buried oil and gas pipelines.

A study on application of high strength steel SM570 in bridge piers with stiffened box section under cyclic loading

  • Kang, Lan;Suzuki, Motoya;Ge, Hanbin
    • Steel and Composite Structures
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    • 제26권5호
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    • pp.583-594
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    • 2018
  • Although a lot of experimental and analytical investigations have been carried out for steel bridge piers made of SS400 and SM490, the formulas available for SS400 and SM490 are not suitable for evaluating ultimate load and deformation capacities of steel bridge piers made of high strength steel (HSS) SM570. The effect of various parameters is investigated in this paper, including plate width-to-thickness ratio, column slenderness ratio and axial compression force ratio, on the ultimate load and deformation capacities of steel bridge box piers made of SM570 steel subjected to cyclic loading. The elasto-plastic behavior of the steel bridge piers under cyclic loads is simulated through plastic large deformation finite element analysis, in which a modified two-surface model (M2SM) including cyclic hardening is employed to trace the material nonlinearity. An extensive parametric study is conducted to study the influences of structural parameters on the ultimate load and deformation capacities. Based on these analytical investigations, new formulas for predicting ultimate load and deformation capacities of steel bridge piers made of SM570 are proposed. This study extends the ultimate load and deformation capacities evaluation of steel bridge piers from SS400, SM490 steels to SM570 steel, and provides some useful suggestions.

Static and dynamic analysis of cable-suspended concrete beams

  • Kumar, Pankaj;Ganguli, Abhijit;Benipal, Gurmail
    • Structural Engineering and Mechanics
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    • 제64권5호
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    • pp.611-620
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    • 2017
  • A new theory of weightless sagging planer elasto-flexible cables under point loads is developed earlier by the authors and used for predicting the nonlinear dynamic response of cable-suspended linear elastic beams. However, this theory is not valid for nonlinear elastic cracked concrete beams possessing different positive and negative flexural rigidity. In the present paper, the flexural response of simply supported cracked concrete beams suspended from cables by two hangers is presented. Following a procedure established earlier, rate-type constitutive equations and third order nonlinear differential equations of motion for the structures undergoing small elastic displacements are derived. Upon general quasi-static loading, negative nodal forces, moments and support reactions may be introduced in the cable-suspended concrete beams and linear modal frequencies may abruptly change. Subharmonic resonances are predicted under harmonic loading. Uncoupling of the nodal response is proposed as a more general criterion of crossover phenomenon. Significance of the bilinearity ratio of the concrete beam and elasto-configurational displacements of the cable for the structural response is brought out. The relevance of the proposed theory for the analysis and the design of the cable-suspended bridges is critically evaluated.

충격하중을 받는 박판의 후좌굴 해석 (Postbuckling Analysis of Thin Plates under Impact Loading)

  • 김형열;박선규
    • 한국구조물진단유지관리공학회 논문집
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    • 제6권3호
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    • pp.139-149
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    • 2002
  • Explicit 직접적분법을 사용하여 충격하중을 받는 박판의 후좌굴거동을 해석할 수 있는 알고리즘을 제안하였다. von Karman의 대변위 판 이론과 Marquerre의 쉘 이론을 이용하여 유도한 직사각형 평판 유한요소는 박판의 초기처짐과 기하학적 비선형 거동을 고려할 수 있다. 중앙차분법을 바탕으로 해석 알고리즘을 개발하였고 이를 프로그램화 시켜, 하중형상과 재하시간이 다른 충격하중에 대하여 박판의 동적 좌굴거동을 해석 하였다. 수치해석 예제를 통하여 Explicit 직접적분법의 특성을 평가하였다.

Effect of position of hexagonal opening in concrete encased steel castellated beams under flexural loading

  • Velrajkumar, G.;Muthuraj, M.P.
    • Computers and Concrete
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    • 제26권1호
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    • pp.95-106
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    • 2020
  • Castellated beams fabricated from standard I-sections are being used for several structural applications such as commercial and industrial buildings, multistory buildings, warehouses and portal frames in view of numerous advantages. The advantages include enhanced moment of inertia, stiffness, flexural resistance, reduction in weight of structure, by passing the used plate girders, the passage of service through the web openings etc. In the present study, experimental and numerical investigations were carried out on concrete encased steel castellated beams with hexagonal openings under flexural loading. Various positions of openings such as along the neutral axis, above the neutral axis and below the neutral axis were considered for the study. From the experimental findings, it has been observed that the load-carrying capacity of the castellated beam with web opening above neutral axis is found to be higher compared to other configurations. Nonlinear finite element analysis was performed by using general purpose finite element software ABAQUS considering the material nonlinearities. Concrete damage plasticity model was employed to model the nonlinearity of concrete and elasto-plastic model for steel. It has been observed that FE model could able to capture the behaviour of concrete encased steel castellated beams and the predicted values are in good agreement with the corresponding experimental values.

Control of buildings using single and multiple tuned liquid column dampers

  • Chang, C.C.;Hsu, C.T.;Swei, S.M.
    • Structural Engineering and Mechanics
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    • 제6권1호
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    • pp.77-93
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    • 1998
  • Some design formulas and design procedures for single and multiple tuned liquid column dampers (TLCDs) are proposed in this study. Previous studies show that if the properties of the TLCD system are properly selected then the TLCD could be as effective as the traditional tuned mass dampers. In addition, the TLCD system offers advantages such as flexibility in terms of installation, little maintenance required, and potentials for multiple usage, etc., which are incomparable by other mechanical types of dampers. In this paper, a set of optimal properties such as length and head loss of a TLCD system are derived under the assumption that the building vibrates in a dominate mode and is subjected to Gaussian white noise excitation. A design procedure for a single TLCD system will be illustrated and discussed. Due to the nonlinearity in the damping term, the TLCD system is sensitive to the loading intensity. This loading sensitivity could limit the application range of the TLCD system. It will be shown in this paper that such a nonlinear effect can be reduced by using multiple TLCDs. As a demonstrative example, the control effects on a flexible building modeled as a single degree-of-freedom system subjected to white noise excitation will be analyzed and discussed using single or multiple TLCDs.

Analytical study on post-buckling and nonlinear free vibration analysis of FG beams resting on nonlinear elastic foundation under thermo-mechanical loadings using VIM

  • Yaghoobi, Hessameddin;Valipour, Mohammad Sadegh;Fereidoon, Abdolhossein;Khoshnevisrad, Pooria
    • Steel and Composite Structures
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    • 제17권5호
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    • pp.753-776
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    • 2014
  • In this paper, nonlinear vibration and post-buckling analysis of beams made of functionally graded materials (FGMs) resting on nonlinear elastic foundation subjected to thermo-mechanical loading are studied. The thermo-mechanical material properties of the beams are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents, and to be temperature-dependent. The assumption of a small strain, moderate deformation is used. Based on Euler-Bernoulli beam theory and von-Karman geometric nonlinearity, the integral partial differential equation of motion is derived. Then this PDE problem which has quadratic and cubic nonlinearities is simplified into an ODE problem by using the Galerkin method. Finally, the governing equation is solved analytically using the variational iteration method (VIM). Some new results for the nonlinear natural frequencies and buckling load of the FG beams such as the influences of thermal effect, the effect of vibration amplitude, elastic coefficients of foundation, axial force, end supports and material inhomogenity are presented for future references. Results show that the thermal loading has a significant effect on the vibration and post-buckling response of FG beams.