• 제목/요약/키워드: Nonlinearity Parameter

검색결과 236건 처리시간 0.03초

Non-destructive assessment of carbonation in concrete using the ultrasonic test: Influenced parameters

  • Javad Royaei;Fatemeh Nouban;Kabir Sadeghi
    • Structural Engineering and Mechanics
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    • 제89권3호
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    • pp.301-308
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    • 2024
  • Concrete carbonation is a continuous and slow process from the outside to the inside, in which its penetration slows down with the increased depth of carbonation. In this paper, the results of the evaluation of the measurement of concrete carbonation depth using a non-destructive ultrasonic testing method are presented. According to the results, the relative nonlinear parameter caused more sensitivity in carbonation changes compared to Rayleigh's fuzzy velocity. Thus, the acoustic nonlinear parameter is expected to be applied as a quantitative index to recognize carbonation effects. In this research, combo diagrams were developed based on the results of ultrasonic testing and the experiment to determine carbonation depth using a phenolphthalein solution, which could be considered as instructions in the projects involving non-destructive ultrasonic test methods. The minimum and maximum accuracy of this method were 89% and 97%, respectively, which is a reasonable range for operational projects. From the analysis performed, some useful expressions are found by applying the regression analysis for the nonlinearity index and the carbonation penetration depth values as a guideline.

낮은 원호아치의 좌굴거동에 대한 연구 (A Study on Buckling Behavior of Shallow Circular Arches)

  • 김연태;허택녕;오순택
    • 한국지진공학회논문집
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    • 제2권2호
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    • pp.87-94
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    • 1998
  • 동하중을 받는 낮은 원호아치의 좌굴거동을 지지조건을 달리하여 해석하여 거동상의 차이를 비교, 분석하였다. 형상의 비선형성은 Lagrangian 운동좌표를 고려하여 해석하였으며, 동적운동방정식의 해를 구하기 위해 유한요소법을 사용하였다. 동적운동방정식의 시간적분은 Newmark해법을 채택하였고, 각 시간단계에서의 비선형거동에 따른 반복계산은 Newton-Raphson방식을 이용하였다. 아치의 좌굴거동해석에는 Humphreys 등이 사용한 좌굴기준 및 무차원 매개변수를 이용하였다. 단, Humphreys 등과는 달리 비대칭구조물의 좌굴판단시에도 적용할 수 있도록 수평변위를 반영한 처짐비식을 제안하였고, 이를 프로그램화하여 모형해석에 적용하였다. 모형해석을 통하여 낮은 아치의 지지조건에 따른 좌굴해석을 수행하여 양단힌지아치가 양단고정아치보다 좌굴전.후 큰 처짐비를 보여 좌굴강성면에서 상대적으로 불리한 구조라고 판단된다. 그 밖에 같은 형상매개변수를 갖는 아치는 지지조건에 관계없이 같은 하중매개변수를 재하할 경우, 같은 시간매개변수에서 처짐비를 기준으로 같은 거동을 함을 알았다. 따라서 좌굴현상도 같은 하중매개변수에서 나타남을 확인하였다.

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LAP 구조물 결합부의 설계치 확보를 위한 동역학적 해석 (Dynamic Analysis of Design Data for Structural Lap Joint)

  • 윤성호
    • 소음진동
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    • 제8권1호
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    • pp.57-74
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    • 1998
  • 구조체의 연결부위에서 미지의 결합강성으로 인하여, 실험과 유한 요소법으로 구한 모달 매개변수들은 종종 일치하지 않는다. 본 논문은 실험으로 추출된 동특성 데이타에 근거하여, 해석적인 방법을 통해 새로운 모델링 방법을 제시하고 있다. 대표적인 연결방법으로 리벳을 이용한 Lap이음보에서 동강성을 측정하기 위한 비선형 진동실험이 제안 되었으며, 이를 Lap 이음판에 적용하기 위하여 동강성에 해당하는 설계변수로서 빔요소를 도입하였다. 이 유한요소 모델링은 범용 패키지인 PATRAN과 ABAQUS를 사용하였으며, 빔요소의 직경을 실험치의 고유진동수와 일치하도록 조절함으로써 직경의 최적치 경향을 관찰하였다. 제시된 모델링 기법과 기존의 모델링 기법으로 얻은 결과치들을 실험치와 비교하였다.

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비선형 공진기법을 이용한 콘크리트의 화재 손상 영향인자 분석 (Analysis of Factors Influencing Fire Damage to Concrete Using Nonlinear Resonance Vibration Method)

  • 박강규;박선종;임홍재;곽효경
    • 비파괴검사학회지
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    • 제35권2호
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    • pp.150-156
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    • 2015
  • 본 연구에서는 비선형 음향효과를 기반으로 한 비선형 공진기법을 도입하여 콘크리트의 배합비 및 화재 손상 조건(노출온도, 손상 후 경과기간)이 화재 손상 콘크리트에 미치는 영향을 파악하였다. 도입된 비선형 공진기법을 통해 기존 선형 탄성파 기반 평가 기법 대비 향상된 민감도를 나타내는 비선형인자를 측정하였으며, 쪼갬 인장강도 측정을 통해 배합비 및 화재 손상 조건에 따른 콘크리트의 잔존재료물성 평가를 수행하였다. 얻어진 결과를 토대로 배합비, 노출온도, 손상 후 경과기간이 화재 손상 콘크리트에 미치는 영향을 분석하였다. 추가적으로 쪼갬 인장강도비와 비선형인자의 직접적인 관계를 제시하였으며, 비선형 공진기법을 이용한 화재 손상 콘크리트의 잔존 강도 추정에 대한 가능성을 확인하였다.

A nonlocal strain gradient theory for nonlinear free and forced vibration of embedded thick FG double layered nanoplates

  • Mahmoudpour, E.;Hosseini-Hashemi, SH.;Faghidian, S.A.
    • Structural Engineering and Mechanics
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    • 제68권1호
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    • pp.103-119
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    • 2018
  • In the present research, an attempt is made to obtain a semi analytical solution for both nonlinear natural frequency and forced vibration of embedded functionally graded double layered nanoplates with all edges simply supported based on nonlocal strain gradient elasticity theory. The interaction of van der Waals forces between adjacent layers is included. For modeling surrounding elastic medium, the nonlinear Winkler-Pasternak foundation model is employed. The governing partial differential equations have been derived based on the Mindlin plate theory utilizing the von Karman strain-displacement relations. Subsequently, using the Galerkin method, the governing equations sets are reduced to nonlinear ordinary differential equations. The semi analytical solution of the nonlinear natural frequencies using the homotopy analysis method and the exact solution of the nonlinear forced vibration through the Harmonic Balance method are then established. The results show that the length scale parameters give nonlinearity of the hardening type in frequency response curve and the increase in material length scale parameter causes to increase in maximum response amplitude, whereas the increase in nonlocal parameter causes to decrease in maximum response amplitude. Increasing the material length scale parameter increases the width of unstable region in the frequency response curve.

유한요소 모델 변수의 역 추정법을 이용한 생체의 물성 규명 (Biomechanical Characterization with Inverse FE Model Parameter Estimation: Macro and Micro Applications)

  • 안범모;김영진;신현정;김정
    • 대한기계학회논문집A
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    • 제33권11호
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    • pp.1202-1208
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    • 2009
  • An inverse finite element (FE) model parameter estimation algorithm can be used to characterize mechanical properties of biological tissues. Using this algorithm, we can consider the influence of material nonlinearity, contact mechanics, complex boundary conditions, and geometrical constraints in the modeling. In this study, biomechanical experiments on macro and micro samples are conducted and characterized with the developed algorithm. Macro scale experiments were performed to measure the force response of porcine livers against mechanical loadings using one-dimensional indentation device. The force response of the human liver cancer cells was also measured by the atomic force microscope (AFM). The mechanical behavior of porcine livers (macro) and human liver cancer cells (micro) were characterized with the algorithm via hyperelastic and linear viscoelastic models. The developed models are suitable for computing accurate reaction force on tools and deformation of biomechanical tissues.

Aerodynamic stability analysis of geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction

  • Xu, Yun-ping;Zheng, Zhou-lian;Liu, Chang-jiang;Wu, Kui;Song, Wei-ju
    • Wind and Structures
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    • 제26권6호
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    • pp.355-367
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    • 2018
  • This paper studies the aerodynamic stability of a tensioned, geometrically nonlinear orthotropic membrane structure with hyperbolic paraboloid in sag direction. Considering flow separation, the wind field around membrane structure is simulated as the superposition of a uniform flow and a continuous vortex layer. By the potential flow theory in fluid mechanics and the thin airfoil theory in aerodynamics, aerodynamic pressure acting on membrane surface can be determined. And based on the large amplitude theory of membrane and D'Alembert's principle, interaction governing equations of wind-structure are established. Then, under the circumstance of single-mode response, the Bubnov-Galerkin approximate method is applied to transform the complicated interaction governing equations into a system of second-order nonlinear differential equation with constant coefficients. Through judging the frequency characteristic of the system characteristic equation, the critical velocity of divergence instability is determined. Different parameter analysis shows that the orthotropy, geometrical nonlinearity and scantling of structure is significant for preventing destructive aerodynamic instability in membrane structures. Compared to the model without considering flow separation, it's basically consistent about the divergence instability regularities in the flow separation model.

On the elastic parameters of the strained media

  • Guliyev, Hatam H.
    • Structural Engineering and Mechanics
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    • 제67권1호
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    • pp.53-67
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    • 2018
  • The changes of parameters of pressure and velocity of propagation of elastic pressure and shear waves in uniformly deformed solid compressible media are studied within the nonclassically linearized approach (NLA) of nonlinear elastodynamics to create a new theoretical basis of the geomechanical interpretation of various groups of geophysical observational and experimental data. The cases of small and large deformations are considered while their describing by various elastic potentials, i.e., problems considering the physical and geometric nonlinearity. Convenient analytical formulae are obtained to calculate the indicated parameters in the deformed isotropic media within the nonclassical linear and nonlinear solution in the NLA. Specific numerical experiments are conducted in case of overall compression of various materials. It is shown that the method (generally accepted in the studies of mechanics of standard constructional materials) of additional linearization (relative to the pressure parameter) in the basic correlations of the NLA introduces substantial quantitative and qualitative errors into the results at significant preliminary deformations. The influences of the physical and geometric nonlinearity on the studied characteristics of the medium are large in various materials and differ qualitatively. The contribution of nonlinear components to the values of the considered parameters prevails over linear components at large deformations. When certain critical values of compression deformations in the medium are achieved, elastic waves with actual velocity cannot propagate in it. The values of the critical deformations for pressure and shear waves differ within different elastic potentials and variants of the theory of initial deformations.

가변 분산을 갖는 시그모이드 비선형성을 이용한 가변 모듈러스 알고리즘 (A Variable Modulus Algorithm using Sigmoid Nonlinearity with Variable Variance)

  • 김철민;최익현;오길남
    • 한국콘텐츠학회:학술대회논문집
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    • 한국콘텐츠학회 2005년도 추계 종합학술대회 논문집
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    • pp.649-653
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    • 2005
  • 눈 모형이 닫혀있는 등화 초기에 축소 신호점을 적용한 시그모이드 비선형성으로 오차신호를 추정하면, 기존 연판정의거 알고리즘의 문제점인 고차 신호점을 적용 시 계산 복잡도가 증가하고 수렴속도가 저하되는 단점을 개선할 수 있다. 시그모이드 함수는 평균과 분산 파라미터로 특성이 조절되므로, 분산 값을 조절함에 따라 축소 신호점의 값$(\gamma)$이+$\gamma$와-$\gamma$ 사이의 범위를 가질 수 있다. 본 논문에서는 등화가 올바르게 진행하여 각 신호점에서 군집의 크기가 줄어들 때 분산 값을 가변함으로써 정상상태 성능을 개선할 수 있는 가변 모듈러스 알고리즘(Variable Modulus Algorithm: VMA)을 제안한다.

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반복학습제어와 할바흐 자석 배열 스튜어트 플랫폼을 이용한 차량 진동 신호 재현 (Replication of Automotive Vibration Target Signal Using Iterative Learning Control and Stewart Platform with Halbach Magnet Array)

  • 고병식;강수영
    • 한국소음진동공학회논문집
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    • 제23권5호
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    • pp.438-444
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    • 2013
  • This paper presents the replication of a desired vibration response by iterative learning control (ILC) system for a vibration motion replication actuator. The vibration motion replication actuator has parameter uncertainties including system nonlinearity and joint nonlinearity. Vehicle manufacturers worldwide are increasingly relying on road simulation facilities that put simulated loads and stresses on vehicles and subassemblies in order to reduce development time. Road simulation algorithm is the key point of developing road simulation system. With the rapid progress of digital signal processing technology, more complex control algorithms including iterative learning control can be utilized. In this paper, ILC algorithm was utilized to produce simultaneously the six channels of desired responses using the Stewart platform composed of six linear electro-magnetic actuators with Halbach magnet array. The convergence rate and accuracy showed reasonable results to meet the requirement. It shows that the algorithm is acceptable to replicate multi-channel vibration responses.