• 제목/요약/키워드: Strain Energy Density Estimation

검색결과 9건 처리시간 0.021초

Prediction of Mechanical Behavior for Carbon Black Added Natural Rubber Using Hyperelastic Constitutive Model

  • Kim, Beomkeun
    • Elastomers and Composites
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    • 제51권4호
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    • pp.308-316
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    • 2016
  • The rubber materials are widely used in automobile industry due to their capability of a large amount of elastic deformation under a force. Current trend of design process requires prediction of functional properties of parts at early stage. The behavior of rubber material can be modeled using strain energy density function. In this study, five different strain energy density functions - Neo-Hookean model, Reduced Polynomial $2^{nd}$ model, Ogden $3^{rd}$ model, Arruda Boyce model and Van der Waals model - were used to estimate the behavior of carbon black added natural rubber under uniaxial load. Two kinds of tests - uniaxial tension test and biaxial tension test - were performed and used to correlate the coefficients of the strain energy density function. Numerical simulations were carried out using finite element analysis and compared with experimental results. Simulation revealed that Ogden $3^{rd}$ model predicted the behavior of carbon added natural rubber under uniaxial load regardless of experimental data selection for coefficient correlation. However, Reduced Polynomial $2^{nd}$, Ogden $3^{rd}$, and Van der Waals with uniaxial tension test and biaxial tension test data selected for coefficient correlation showed close estimation of behavior of biaxial tension test. Reduced Polynomial $2^{nd}$ model predicted the behavior of biaxial tension test most closely.

비선형 차체프레임구조물의 민감도해석 및 최적화 (Sensitivity Analysis and Optimization of Nonlinear Vehicle Frame Structures)

  • 원종진;이종선
    • 대한기계학회논문집A
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    • 제20권9호
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    • pp.2833-2842
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    • 1996
  • This paper is to practice optimal rigidity design by the strain energy density estimation method for static buckling and sizing design sensitivity analysis for dynamic buckling of a nonlinear vehicle frame structure from those results. Using these sizing design sensitivity resutls, an optimization of a nonlinear vehicle frame structure with dynamic buckling constraint is carrried out with the graient projection method.

대변형 비선형 탄성재료의 균열길이 예측 (Crack Length Estimation for Large Deformable Non-Linear Elastic Materials)

  • 양경진;강기주;박상서
    • 대한기계학회논문집A
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    • 제24권1호
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    • pp.103-109
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    • 2000
  • A method to measure the crack length in rubbery materials is described. Through dimensional analysis and experiments, an equation is derived to give the crack length as a function of the change of strain energy density in a region remote from the crack. The function is provided in a form of separated terms of loading and material, the validity of which is experimentally proved using separation parameters.

로켓엔진용 구리크롬 합금의 저주기 피로수명 예측방법 비교 및 평가 (Comparison and Evaluation of Low-Cycle Fatigue Life Prediction Methods Using Cu-Cr Alloy Developed for Rocket Engines)

  • 박종찬;김재훈;이금오
    • 한국추진공학회지
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    • 제26권5호
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    • pp.1-10
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    • 2022
  • 로켓엔진용으로 개발된 구리크롬 합금에 대해 저주기 피로시험을 수행하고 여러가지 피로수명 예측방법을 이용해 예측수명을 구하여 이를 시험수명과 비교하여 보았다. 피로수명 예측방법으로는 Coffin-Manson 관계식, 소성 및 전 변형률 에너지 밀도 관계식, Smith-Watson-Topper 관계식, Tomkins 관계식, Jahed-Varvani 관계식 등 총 6가지 방법을 이용하였다. 피로 예측수명을 계산한 결과 모든 방법에서 시험수명 대비 분산범위 2 이내를 만족하였다. 예측수명 편차의 정량적 확인을 통해 전 변형률 에너지 밀도 관계식이 가장 우수한 결과를 나타냈다.

FEM을 이용한 Belt Width와 Separation에 관한 연구 (A Study on the Belt width and Separation of Tire using FEM)

  • 김성래;성기득;김선주;조춘택
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.2006-2010
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    • 2005
  • This study is concerned with the relation between steelbelt and belt edge separation. Belt edge separation causes tire burst and threatens passenger's safety. For that reason, it is important to predict durability caused by belt edge separation first in tire structure design step. In this study, to predict belt edge separation, we suggest the prediction method of belt edge separation and evaluate the effect of steelbelt width on the belt edge separation using FEM. We study on analysis parameter also to do exact estimation about the shear behaviour of belt edge area.

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주파수영역 손상식별 SI 기법에 적응할 최적센서 위치결정법 (Determination of Optimal Sensor Locations for Modal System Identification-based Damage Detection on Structures)

  • 권순정;신수봉;박영환
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.95-102
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    • 2003
  • To define an analytical model for a structural system or to assess damage in the system, system identification(SI) methods have been developed and widely applied. The paper presents a method of determining optimal sensor location(OSL) based on the maximum likelihood approach, which is applicable to modal SI methods. To estimate unknown parameters reliably, it is necessary that the information provided by the experiment should be maximized. By applying the Cramer-Rao inequality, a Fisher information matrix in terms of the probability density function of measurements is obtained from a lower bound of the estimation error. The paper also proposes a scheme of determining of OSL on damaged structures by using maximum strain energy factor. Simulation studies have carried out to investigate the proposed OSL algorithm for both undamaged and damaged structures.

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점탄성감쇠기를 설치한 구조물의 비용효율성 평가 (Cost-Effectiveness Evaluation of the Structure with Viscoelastic Dampers)

  • 고현무;함대기;조상열
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2001년도 춘계학술대회 논문집
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    • pp.387-393
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    • 2001
  • Installing vibration control devices in the structure rises as a solution instead of increasing structural strength considering construction cost. Especially, viscoelastic dampers show excellent vibration control performance at low cost and are easy to install in existing structures compared with other control devices. Therefore, cost-effectiveness of structure with viscoelastic dampers needs to be evaluated. Previous cost-effectiveness evaluation method for the seismically isolated structure(Koh et al., 1999;2000)is applied on the building structure with viscoelastic dampers, which combines optimal design and cost-effectiveness evaluation for seismically isolated structures based on minimum life-cycle cost concept. Input ground motion is modeled in the form of spectral density function to take into account acceleration and site coefficients. Damping of the viscoelastic damper is considered by modal strain energy method. Stiffness of shear building and shear area of viscoelastic damper are adopted as design variables for optimization. For the estimation of failure probability, transfer function of the structure with viscoelastic damper for spectral analysis is derived from the equation of motion. Results reveal that cost-effectiveness of the structure with viscoelastic dampers is relatively high in how seismic region and stiff soil condition.

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연속적 확대 유전기법을 이용한 고무물성계수의 산출 (Estimation of the Rubber Material Property by Successive Zooming Genetic Algorithm)

  • 권영두;김재용;이재관;권현욱;한인식
    • 한국자동차공학회논문집
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    • 제13권1호
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    • pp.36-44
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    • 2005
  • Nowadays, various kind of rubber-like materials are used in industry. These are usually installed in automobiles, trains, etc. They work as dampers or important parts in the system, and the applications for rubber-like materials are increasing. In the past days, rubber engineers and designers predicted rubber material behaviors by the analytic method for limited problems. With the progress of digital computers, Finite Element Methods is widely used for analyzing the rubber-like materials. The popular methods predicting rubber material property are curve fitting and least square method, but there are some problems such as low precision and tedious solving process. Here, we introduce a method estimating rubber material property by successive zooming genetic algorithm(SZGA). The proposed algorithm offers more precise rubber property. To demonstrate the effectiveness of the proposed algorithm, we compared this method with Haines & Wilson's method, MARC, ABAQUS.

압입시험을 통하여 초탄성 재료 물성치를 평가하는 단순한 방법 (A Simple Method for the Estimation of Hyperelastic Material Properties by Indentation Tests)

  • 송재욱;김민석;정구훈;김현규
    • 한국전산구조공학회논문집
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    • 제32권5호
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    • pp.273-278
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    • 2019
  • 본 논문에서는 압입시험을 통해서 초탄성 재료 물성치를 평가하는 간단한 방법을 제시하였다. 초탄성 재료 모델 중, 3개의 물성치($C_{10}$, $C_{20}$, $C_{30}$)를 가지는 Yeoh 모델을 선택하여 주연신률로 표현되는 변형률 에너지 밀도를 적용하였다. Yeoh 물성치를 변화시키며, 구형 압입시험 유한요소해석을 수행하여 압입자 반력-변위 곡선을 획득하였다. 압입자 반력-변위 곡선을 3차 다항식으로 근사하였고, 이 다항식을 물성치($C_{10}$, $C_{20}$, $C_{30}$)의 3차 곱으로 근사된 3차 다항식으로 표현하였다. 압입자 반력-변위곡선 근사를 위해 회귀분석을 진행하여 수식들의 계수를 결정하였으며, 이 회귀식을 이용하여 초탄성 재료의 물성치를 평가하였다. 초탄성 재료 물성치 평가를 수행하고 오차를 비교하여 유효성을 보여 주었다.