• 제목/요약/키워드: the coefficients of elasticity

검색결과 91건 처리시간 0.019초

Improved Element-Free Galerkin method (IEFG) for solving three-dimensional elasticity problems

  • Zhang, Zan;Liew, K.M.
    • Interaction and multiscale mechanics
    • /
    • 제3권2호
    • /
    • pp.123-143
    • /
    • 2010
  • The essential idea of the element-free Galerkin method (EFG) is that moving least-squares (MLS) approximation are used for the trial and test functions with the variational principle (weak form). By using the weighted orthogonal basis function to construct the MLS interpolants, we derive the formulae for an improved element-free Galerkin (IEFG) method for solving three-dimensional problems in linear elasticity. There are fewer coefficients in improved moving least-squares (IMLS) approximation than in MLS approximation. Also fewer nodes are selected in the entire domain with the IEFG method than is the case with the conventional EFG method. In this paper, we selected a few example problems to demonstrate the applicability of the method.

Elasticity solution of multi-layered shallow cylindrical panels subjected to dynamic loading

  • Shakeri, M.;Eslami, M.R.;Alibiglu, A.
    • Steel and Composite Structures
    • /
    • 제2권3호
    • /
    • pp.195-208
    • /
    • 2002
  • Elasticity solutions to the boundary-value problems of dynamic response under transverse asymmetric load of cross-ply shallow cylindrical panels are presented. The shell panel is simply supported along all four sides and has finite length. The highly coupled partial differential equations are reduced to ordinary differential equations with constant coefficients by means of trigonometric function expansion in the circumferential and axial directions. The resulting ordinary differential equations are solved by Galerkin finite element method. Numerical examples are presented for two (0/90 deg.) and three (0/90/0 deg.) laminations under dynamic loading.

한국 원유수요의 탄력성 추정 (Estimating the Elasticity of Crude Oil Demand in Korea)

  • 이경희;김경수
    • 경영과정보연구
    • /
    • 제37권3호
    • /
    • pp.65-81
    • /
    • 2018
  • 본 연구는 ARDL 모형을 이용하여 한국의 원유수요의 장기와 단기 자체가격, 교차가격 및 소득탄력성을 추정하였다. 첫째, ARDL-UECM의 한계검정결과에서 장기공적분관계가 종속변수인 원유수요와 독립변수인 자체가격과 교차가격 및 소득변수간에 존재하였다. 둘째, ARDL 모형(장기정태모형)을 통해 장기 모수들이 추정되었다. 셋째, 일부의 잔차의 자기상관이 존재하였으나, 반면에 설정오류가 발견되지 않았고 잔차항이 정규분포를 나타내었으며 이분산이 존재하지 않았고 CUSUM & CUSUMSQ 결과에서는 계수가 안정적이었다. 넷째, 추정된 원유수요에 대한 절대값으로 측정된 장기자체가격과 교차가격탄력성 및 소득탄력성은 모두 유의하며 1보다 크고 탄력적으로 민감하였으나, 반면에 단기자체가격과 교차가격탄력성 및 소득탄력성은 모두 유의하며 1보다 적고 비탄력적으로 민감하지 않았을지라도, 장기와 단기의 모든 탄력성들이 실제부호와 기대부호가 일치하였다. 다섯째, 국내의 일부 연구를 제외하고 대부분의 국외의 이전연구에서 단기자체가격과 교차가격 및 소득탄력성은 본 연구의 장기자체가격과 교차가격 및 소득탄력성보다 모두 더 낮다는 것을 확인하였다. 따라서 외국원유에 너무 의존하는 한국은 원유가격의 충격에 취약하게 되므로 유가 상승은 확실히 한국의 무역수지에 부정적인 영향을 미칠 수 있으므로 장기적 원유가격의 탄력성을 이용하여 한국의 원유수요를 효율적으로 통제하고 관리하는데 도움을 줄 수 있다고 사료된다. 시사점으로 원유와 관련한 국가별 정책변화 및 시장동향 모니터링의 강화, 국가별 정책 및 시장현황 맞춤형 진출전략의 수립, 신시장 개척 및 진출분야 다양화를 통한 적극적인 시장선점 노력의 강화 등이 필요하다.

Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles

  • Karami, Behrouz;Janghorban, Maziar;Tounsi, Abdelouahed
    • Steel and Composite Structures
    • /
    • 제27권2호
    • /
    • pp.201-216
    • /
    • 2018
  • In this paper, three-dimensional (3D) elasticity theory in conjunction with nonlocal strain gradient theory (NSGT) is developed for mechanical analysis of anisotropic nanoparticles. The present model incorporates two scale coefficients to examine the mechanical characteristics much accurately. All the elastic constants are considered and assumed to be the functions of (r, ${\theta}$, ${\varphi}$), so all kind of anisotropic structures can be modeled. Moreover, all types of functionally graded spherical structures can be investigated. To justify our model, our results for the radial vibration of spherical nanoparticles are compared with experimental results available in the literature and great agreement is achieved. Next, several examples of the radial vibration and wave propagation in spherical nanoparticles including nonlocal strain gradient parameters are presented for more than 10 different anisotropic nanoparticles. From the best knowledge of authors, it is the first time that 3D elasticity theory and NSGT are used together with no approximation to derive the governing equations in the spherical coordinate. Moreover, up to now, the NSGT has not been used for spherical anisotropic nanoparticles. It is also the first time that all the 36 elastic constants as functions of (r, ${\theta}$, ${\varphi}$) are considered for anisotropic and functionally graded nanostructures including size effects. According to the lack of any common approximations in the displacement field or in elastic constant, present theory can be assumed as a benchmark for future works.

NUMERICAL ANALYSIS PROCEDURE FOR PREDICTING TEMPERATURE FIELD IN DESIGN OF AUTOMOTIVE FRICTION CLUTCH

  • LEE B.;CHO C.
    • International Journal of Automotive Technology
    • /
    • 제7권1호
    • /
    • pp.61-68
    • /
    • 2006
  • In design of the friction clutches of automobiles, knowledge on the thermo-elasticity a priori is very informative in the initial design stage. Especially, the precise prediction technique of maximum temperature and stress should be requested in design of mechanical clutches for their durability and compactness. In this study, an efficient and reliable analysis technique for the design of the mechanical clutches by using computer modeling and numerical method was developed. A commercial software STAR-$CD^{TM}$ was used to find the convective heat-transfer coefficients. MSC/$NASTRAN^{TM}$ software was followed to predict the temperature of clutch with utilization of estimated coefficients. Some experiments were also performed with a dynamometer to verify the procedure and calibrate the thermal load. As a conclusion, a design procedure, including numerical steps and experimental techniques for calibration, was proposed.

Investigating dynamic stability of metal foam nanoplates under periodic in-plane loads via a three-unknown plate theory

  • Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.
    • Advances in aircraft and spacecraft science
    • /
    • 제6권4호
    • /
    • pp.297-314
    • /
    • 2019
  • Dynamic stability of a porous metal foam nano-dimension plate on elastic substrate exposed to bi-axial time-dependent forces has been studied via a novel 3-variable plate theory. Various pore contents based on uniform and non-uniform models have been introduced. The presented plate model contains smaller number of field variables with shear deformation verification. Hamilton's principle will be utilized to deduce the governing equations. Next, the equations have been defined in the context of Mathieu-Hill equation. Correctness of presented methodology has been verified by comparison of derived results with previous data. Impacts of static and dynamical force coefficients, non-local coefficient, foundation coefficients, pore distributions and boundary edges on stability regions of metal foam nanoscale plates will be studied.

한국관광수요의 소득 및 가격탄력성에 대한 연구 (A Study on Income and Price Elasticities of Tourism Demand in Korea)

  • 이경희;김경수
    • 경영과정보연구
    • /
    • 제36권4호
    • /
    • pp.81-102
    • /
    • 2017
  • 본 연구는 ARDL 모형을 이용하여 관광수요모형의 소득탄력성과 가격탄력성을 분석하고자 하였다. 한국으로 입국하는 미국, 일본 및 중국 등의 관광객 입국자수, GDP 및 CPI의 연별 IMF 자료를 바탕으로 설정된 ARDL과 ARDL-RECM 모형을 이용하였다. 첫째, ARDL 모형결과, 미국의 소득탄력성은 비탄력적으로 둔감하였으므로 장거리 미국관광객들에게는 필수재(necessities), 중국의 소득탄력성은 탄력적으로 민감하여 사치재(luxuries)로 구분되었다. 둘째, ARDL과 ARDL-RECM 모형결과, 미국과 중국의 자체가격탄력성이 매우 탄력적이고 민감하였다. 셋째, ARDL 모형결과, 미국의 대체가격탄력성이 비탄력적 대체재(substitutes), 중국은 비탄력적 보완재(complements)의 관계가 존재하고, ARDL-RECM 모형결과에서 미국과 중국의 대체가격탄력성은 비탄력적 대체재의 관계를 보여주었다. 넷째, ECM의 계수값은 미국과 중국의 실제와 기대부호가 음(-)의 값으로 일치하여 단기관계와 전기의 불균형에서 다음 기의 균형으로 조정해 가는 속도를 추정하였다. 이러한 모형에서 미국과 중국의 경우 설명력이 높고 적합도가 높으나, 자기상관이 약간 존재하였다. 본 연구의 결과는 한국정부에 의해 실행된 소득, 자체가격, 대체가격 및 정책이 미국, 일본 및 중국에서 한국으로의 관광수요를 성공적으로 설명하고 있다. 따라서 소득탄력성을 통해 관광정책 또는 관광전략을 수립할 수 있고 가격탄력성을 통해 한국의 관광가격이 타시장에 비해 탄력적임을 인식하여 관광서비스의 질과 상품의 차별화를 더욱 개선시킬 수 있다.

  • PDF

The Role of Technological Progress in the Distribution sector: Evidence from Saudi Arabia Wholesale and Retail Trade Sector

  • ALZYADAT, Jumah Ahmad;ALMUSLAMANI, Monira Saleh
    • 유통과학연구
    • /
    • 제19권3호
    • /
    • pp.15-23
    • /
    • 2021
  • Purpose: This study aims to identify the role of technological progress in the distribution sector in Saudi Arabia. Research design, data, and methodology: The study applies the Autoregressive Distributed Lag (ARDL) approach to estimate the Cobb Douglas production function of the wholesale and retail trade sector in Saudi Arabia, relied on annual data from the General Authority for Statistics from 2005 to 2019. Results: The results show that there is a long run relationship between the production of the wholesale and retail trade sector in KSA and the factors of production labour, capital and technology progress. The elasticity of the wholesale and retail trade production with respect to capital and labour are 0.26 and 0.78 respectively; the coefficients are positive and statistically significant. The wholesale and retail trade sector is operating under increasing returns to scale. The main result indicates that the elasticity of the wholesale and retail production with respect to the technology progress is 4.62%, which is positive and statistically significant. Conclusions: The study concluded that technological progress has a positive contribution to the growth of the distribution sector in KSA. Therefore, the technological progress can improve the productivity and efficiency of the resources allocated to the dis.

신장률 변화에 따른 초탄성 재료의 비선형 재료모델 비교 연구 (Comparative Study on the Nonlinear Material Model of HyperElastic Material Due to Variations in the Stretch Ratio)

  • 이강수;기민석;박병재
    • 한국해양공학회지
    • /
    • 제32권4호
    • /
    • pp.253-260
    • /
    • 2018
  • Recently, the application of non-steel materials in ships and offshore plants is increasing because of the development of various nonlinear materials and the improvement of performance. Especially, hyper-elastic materials, which have a nonlinear stress-strain relationship, are used mainly in marine plant structures or ships where impact relaxation, vibration suppression, and elasticity are required, while elasticity must be maintained, even under high strain conditions. In order to simulate and evaluate the behavior of the hyperelastic material, it is very important to select an appropriate material model according to the strain of the material. This study focused on the selection of material models for hyperelastic materials, such as rubber used in the marine and offshore fields. Tension and compression tests and finite element simulations were conducted to compare the accuracy of the nonlinear material models due to variations in the stretch ratio of hyper-elastic material. Material coefficients of nonlinear material models are determined based on the curve fitting of experimental data. The results of this study can be used to improve the reliability of nonlinear material models according to stretch ratio variation.

Free vibration analysis of thick CGFR annular sector plates resting on elastic foundations

  • Tahouneh, Vahid
    • Structural Engineering and Mechanics
    • /
    • 제50권6호
    • /
    • pp.773-796
    • /
    • 2014
  • This paper deals with free vibration analysis of continuous grading fiber reinforced (CGFR) and bi-directional FG annular sector plates on two-parameter elastic foundations under various boundary conditions, based on the three-dimensional theory of elasticity. The plates with simply supported radial edges and arbitrary boundary conditions on their circular edges are considered. A semi-analytical approach composed of differential quadrature method (DQM) and series solution is adopted to solve the equations of motion. Some new results for the natural frequencies of the plate are prepared, which include the effects of elastic coefficients of foundation, boundary conditions, material and geometrical parameters. Results indicate that the non-dimensional natural frequency parameter of a functionally graded fiber volume fraction is larger than that of a discrete laminated and close to that of a 2-layer. It results that the CGFR plate attains natural frequency higher than those of traditional discretely laminated composite ones and this can be a benefit when higher stiffness of the plate is the goal and that is due to the reduction in spatial mismatch of material properties. Moreover, it is shown that a graded ceramic volume fraction in two directions has a higher capability to reduce the natural frequency than conventional one-dimensional functionally graded material. The multidirectional graded material can likely be designed according to the actual requirement and it is a potential alternative to the unidirectional functionally graded material. The new results can be used as benchmark solutions for future researches.