• 제목/요약/키워드: effective residual curvature

검색결과 7건 처리시간 0.021초

Effects of curvature on leverage in nonlinear regression

  • Kahng, Myung-Wook
    • Journal of the Korean Data and Information Science Society
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    • 제20권5호
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    • pp.913-917
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    • 2009
  • The measures of leverage in linear regression has been extended to nonlinear regression models. We consider several curvature measures of nonlinearity in an estimation situation. The relationship between measures of leverage and statistical curvature are explored in nonlinear regression models. The circumstances under which the Jacobian leverage reduces to a tangent plane leverage are discussed in connection with the effective residual curvature of the nonlinear model.

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경량압전 복합재료 작동기의 작동범위를 이용한 총유효 모멘트 (ME)의 예측 (Prediction of the Total Effective Moment (ME) Using Stroke Range in Lightweight Piezoelectric Composite Actuator(LIPCA))

  • 윤광준;김철웅
    • 대한기계학회논문집A
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    • 제30권2호
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    • pp.120-127
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    • 2006
  • The fatigue behavior of LIPCA was so sensitive to the manufacturing condition, the environmental factors and the change of the test apparatus. Therefore, we could be considering not only the relationship between the stroke range $({\Delta}h)$ and actuating frequency but also the relationship between the stroke range $({\Delta}h)$ and the total effective moment $(M^E)$. Thus, this study proposed the calculation method of the applying $M^E$ when the $({\Delta}h)$ of LIPCA was increased from 1.mm to 20mm. To estimate the relationship between the total effective moment $(M^E)$ and the Bernoulli-Euler bending moment (M) was reviewed. And the residual stress distribution of LIPCA and THUNDER using the CLT was evaluated. In conclusions, converting the $({\Delta}h)$ of LIPCA to the radius of curvature (p) and calculating the $(M^E)$, it was found that the p by the $M^E$ changed similarly as the $({\Delta}h)$. It was found that the $M^E$ was 2.2 times as the M. While CFRP and PZT of LIPCA, which had the superior compressive characteristic, had the compressive residual stress, GFRP was subject to the tensile residual stress. Since this reversed configuration between the compressive residuals stress and the tensile one was made, the requirement of the stroke range $({\Delta}h)$ increase was satisfied.

Blending Surface Modelling Using Sixth Order PDEs

  • You, L.H.;Zhang, Jian J.
    • International Journal of CAD/CAM
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    • 제6권1호
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    • pp.157-166
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    • 2006
  • In order to model blending surfaces with curvature continuity, in this paper we apply sixth order partial differential equations (PDEs), which are solved with a composite power series based method. The proposed composite power series based approach meets boundary conditions exactly, minimises the errors of the PDEs, and creates almost as accurate blending surfaces as those from the closed form solution that is the most accurate but achievable only for some simple blending problems. Since only a few unknown constants are involved, the proposed method is comparable with the closed form solution in terms of computational efficiency. Moreover, it can be used to construct 3- or 4-sided patches through the satisfaction of continuities along all edges of the patches. Therefore, the developed method is simpler and more efficient than numerical methods, more powerful than the analytical methods, and can be implemented into an effective tool for the generation and manipulation of complex free-form surfaces.

가중평균 해석법을 이용한 래핑된 베어링강 어닐링재료의 깊이방향에 대한 잔류응력분포 측정 (Measurement of Residual Stress Distribution in the Depth Direction of Annealed Materials of Lapped Bearing Steel Using Weighted Averaging Analysis Method)

  • 한창석;이찬우
    • 한국재료학회지
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    • 제33권5호
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    • pp.205-213
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    • 2023
  • This paper reports the results of an experimental examination using X-rays to test annealing materials for lapped bearing steel (STB2), to confirm the validity of the weighted averaging analysis method. The distribution behavior for the α𝜓-sin2𝜓 diagram and the presence or absence of differences in the peak method, half-value breadth method, and centroid method were investigated. When lapping the annealed bearing steel (STB2) material, a residual stress state with a non-directional steep gradient appeared in the surface layer, and it was found that the weighted averaging analysis method was effective. If there is a steep stress gradient, the sin2𝜓 diagram is curved and the diffraction intensity distribution curve becomes asymmetric, resulting in a difference between the peak method, half-value breadth method, and centroid method. This phenomenon was evident when the stress gradient was more than 2~3 kg/mm2/㎛. In this case, if the position of the diffraction line is determined using the centroid method and the weighted averaging analysis method is applied, the stress value on the surface and the stress gradient under the surface can be obtained more accurately. When the stress gradient becomes a problem, since the curvature of the sin2𝜓 diagram appears clearly in the region of sin2𝜓 > 0.5, it is necessary to increase the inclination angle 𝜓 as much as possible. In the case of a lapping layer, a more accurate value can be obtained by considering 𝜎3 in the weighted averaging analysis method. In an isotropic biaxial residual stress state, the presence or absence of 𝜎3 can be determined as the presence or absence of strain for sin2𝜓≈0.4.

Damage and deformation of new precast concrete shear wall with plastic damage relocation

  • Dayang Wang;Qihao Han;Shenchun Xu;Zhigang Zheng;Quantian Luo;Jihua Mao
    • Steel and Composite Structures
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    • 제48권4호
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    • pp.385-403
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    • 2023
  • To avoid premature damage to the connection joints of a conventional precast concrete shear wall, a new precast concrete shear wall system (NPSW) based on a plastic damage relocation design concept was proposed. Five specimens, including one monolithic cast-in-place concrete shear wall (MSW) as a reference and four NPSWs with different connection details (TNPSW, INPSW, HNPSW, and TNPSW-N), were designed and tested by lateral low-cyclic loading. To accurately assess the damage relocation effect and quantify the damage and deformation, digital image correlation (DIC) and conventional data acquisition methods were used in the experimental program. The concrete cracking development, crack area ratio, maximum residual crack width, curvature of the wall panel, lateral displacement, and deformed shapes of the specimens were investigated. The results showed that the plastic damage relocation design concept was effective; the initial cracking occurred at the bottom of the precast shear wall panel (middle section) of the proposed NPSWs. The test results indicated that the crack area ratio and the maximum residual crack width of the NPSWs were less than those of the MSW. The NPSWs were deformed continuously; significant distortions did not occur in their connection regions, demonstrating the merits of the proposed NPSWs. The curvatures of the middle sections of the NPSWs were lower than that of the MSW after a drift ratio of 0.5%. Among the NPSWs, HNPSW demonstrated the best performance, as its crack area ratio, concrete damage, and maximum residual crack width were the lowest.

원형 RC 기둥의 내진성능과 휨 초과강도 (Seismic Performance and Flexural Over-strength of Circular RC Column)

  • 고성현
    • 한국구조물진단유지관리공학회 논문집
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    • 제17권5호
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    • pp.49-58
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    • 2013
  • 축소모형 원형기둥 실험체 8개를 제작하여 일정한 축력 하에서 반복 횡하중을 가력하는 실험을 수행하였다. 실험체들은 형상비 4.5인 실험체로 설계되었다. 실험체의 주요변수는 횡방향철근비, 축방향철근비, 축방향철근 항복강도와 축력비이다. 기둥 실험체들의 실험결과들은 축방향철근비, 횡철근비와 축력비에 따라 등가점성비, 잔류변형, 유효강성등과 같은 내진성능이 다르게 나타났다. 낮은 항복강도의 축방향철근이 적용된 실험체는 등가점성감쇠비와 잔류변형과 같은 내진성능이 낮게 나타났다. 국내의 도로교설계기준에 휨 초과강도 규정이 2012년에 채택되었다. 실험결과들은 공칭강도, 비선형 모멘트-곡률 해석 결과, AASHTO LRFD 및 도로교설계기준 (한계상태설계법)과 같은 기준들과 비교하였다.

축방향철근비 2.017%인 중공 원형 RC 기둥의 내진성능과 휨 초과강도 (Seismic Performance and Flexural Over-strength of Hollow Circular RC Column with Longitudinal Steel Ratio 2.017%)

  • 고성현
    • 한국구조물진단유지관리공학회 논문집
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    • 제21권1호
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    • pp.1-8
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    • 2017
  • 형상비(M/VD, shear span-depth ratio)가 4.5인 축소모형의 원형기둥 실험체 3개를 제작하였다. 철근콘크리트 기둥 실험체의 단면은 원형이고 중공단면으로 제작되었다. 철근콘크리트 기둥 실험체의 단면 지름은 400 mm, 중공 지름은 200 mm이다. 일정한 축력 하에서 반복하중을 가력하는 준정적 실험을 수행하였다. 실험체의 주요변수는 횡방향철근비이다. 모든 실험체의 횡방향 나선철근 체적비는 소성힌지 구간에서 0.302~0.604%의 값을 갖는다. 이 값은 도로교설계기준에서 요구하는 최소 심부구속철근 요구량의 45.9~91.8%에 해당하며, 이는 내진 설계가 되지 않은 기존 교각이나 내진설계개념으로 설계되는 교각을 나타낸다. 본 연구의 최종목적은 실험적 기초자료의 제공과 함께 성능단계별 균열거동, 하중-변위 이력곡선, 에너지 소산 능력, 등가점성감쇠비, 잔류변형, 유효강성 등 내진성능의 정량적 수치와 경향을 제공하기 위한 것이다. 본 논문에서는 실험결과를 통해 분석된 실험변수에 따른 실험결과들을 공칭강도, 비선형 모멘트-곡률 해석 결과, AASHTO LRFD 및 도로교설계기준(한계상태설계법)과 같은 기준들과 비교하였다.