• 제목/요약/키워드: Bending Curve

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굽힘곡선을 이용한 공작기계 주축의 정적 동적 취약부 규명 (Static and Dynamic Weak Point Analysis of Spindle Systems Using Bending Curve)

  • 이찬홍;이후상
    • 한국정밀공학회지
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    • 제15권12호
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    • pp.188-193
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    • 1998
  • This paper describes static and dynamic weak point analysis of spindle systems to eliminate high concentrated bending point on spindle and improve total stiffness of spindle systems. The weak point analysis is based on the evaluation of bending curves of spindles. For static weak point analysis the bending curve is derived from static deflection curve and for dynamic weak point analysis it is derived from the mode shape curves in consideration of the transfer function at exciting point. The validity of the weak point search methodology is verified by comparison of the static deflection, the natural frequency and the dynamic compliance between the original and the improved spindle.

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AN APPROACH FOR VECTORIAL MOMENTS IN EUCLIDEAN 3-SPACE

  • Sariaydin, Muhammed T.;Korpinar, Talat
    • 호남수학학술지
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    • 제42권1호
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    • pp.187-195
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    • 2020
  • In this paper, we investigate the vectorial moments of Bäcklund transformations of a space curve in 𝔼3. Firstly, it is obtained the vectorial moments which named α𝓖 dual curve, β𝓖 dual curve, and γ𝓖 dual curve of Bäcklund transformations. Then we give the Euler elastic bending energies of these curves. Finally, we provide some examples of α𝓖 dual, β𝓖 dual, and γ𝓖 dual, and their Euler elastic bending energies.

Isolated RC wall subjected to biaxial bending moment and axial force

  • Park, Honggun
    • Structural Engineering and Mechanics
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    • 제9권5호
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    • pp.469-482
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    • 2000
  • A numerical study using nonlinear finite element analysis is performed to investigate the behavior of isolated reinforced concrete walls subjected to combined axial force and in-plane and out-of-plane bending moments. For a nonlinear finite element analysis, a computer program addressing material and geometric nonlinearities was developed. Through numerical studies, the internal force distribution in the cross-section is idealized, and then a new design method, different from the existing methods based on the plane section hypothesis was developed. According to the proposed method, variations in the interaction curve of the in-plane bending moment and axial force depends on the range of the permissible axial force per unit length, that is determined by a given amount of out-of-plane bending moment. As the out-of-plane bending moment increases, the interaction curve shrinks, indicating a decrease in the ultimate strength. The proposed method is then compared with an existing method, using the plane section hypothesis. Compared with the proposed method, the existing method overestimates the ultimate strength for the walls subjected to low out-of-plane bending moments, while it underestimates the ultimate strength for walls subject to high out-of-plane bending moments. The proposed method can address the out-of-plane local behavior of the individual wall segments that may govern the ultimate strength of the entire wall.

FDM 3D프린팅 기반 유연굽힘센서 (Fused Deposition Modeling 3D Printing-based Flexible Bending Sensor)

  • 이선곤;오영찬;김주형
    • 한국기계가공학회지
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    • 제19권1호
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    • pp.63-71
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    • 2020
  • Recently, to improve convenience, flexible electronics are quickly being developed for a number of application areas. Flexible electronic devices comprise characters such as being bendable, stretchable, foldable, and wearable. Effectively manufacturing flexible electronic devices requires high efficiency, low costs, and simple processes for manufacturing technology. Through this study, we enabled the rapid production of multifunctional flexible bending sensors using a simple, low-cost Fused Deposition Modeling (FDM) 3D printer. Furthermore, we demonstrated the possibility of the rapid production of a range of functional flexible bending sensors using a simple, low-cost FDM 3D printer. Accurate and reproducible functional materials made by FDM 3D printers are an effective tool for the fabrication of flexible sensor electronic devices. The 3D-printed flexible bending sensor consisted of polyurethane and a conductive filament. Two patterns of electrodes (straight and Hilbert curve) for the 3D printing flexible sensor were fabricated and analyzed for the characteristics of bending displacement. The experimental results showed that the straight curve electrode sensor sensing ability was superior to the Hilbert curve electrode sensor, and the electrical conductivity of the Hilbert curve electrode sensor is better than the straight curve electrode sensor. The results of this study will be very useful for the fabrication of various 3D-printed flexible sensor devices with multiple degrees of freedom that are not limited by size and shape.

실물 휨 피로시험을 통한 철도레일의 휨 피로거동 분석 (The Bending Fatigue Behavior Analysis of Rail by Bending Fatigue Test)

  • 성덕룡;박용걸;고동춘;이시용;민낙기
    • 한국철도학회논문집
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    • 제13권2호
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    • pp.201-207
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    • 2010
  • 철도 레일의 누적통과톤수에 의한 교체주기기준은 레일의 휨 피로수명에 의해 결정된다. 레일의 휨 피로수명을 평가하기 위해서는 기본적으로 레일의 휨 피로거동(S-N선도)에 대한 분석이 필요하다. 본 연구에서는 국내에서 사용되고 있는 50kg/m, 60kg/m 레일에 대하여 신품 및 사용 용접레일(모재부, 테르밋용접부, 가스압접부)로 구분하여 실물 휨 피로시험을 수행하였으며, 휨 피로시험결과를 바탕으로 파단유형 및 파단면 분석, 파괴 확률에 따른 휨 피로거동(S-N선도) 분석을 수행하였다. 이를 통해 레일종류별, 용접방법별, 신품 및 사용레일에 대한 S-N선도를 도출하였다. 이는 향후 누적통과톤수에 의한 레일 피로수명 평가를 위해 반드시 필요한 기초 자료로서 활용될 것으로 기대된다.

자동차 Transimission용 Helical Gear의 굽힘 피로 수명 곡선(SS-N Curve)에 관한 실험적 고찰 (An experimental study of bending fatigue life (S-N curve) of the helical gear for the automotive transmission)

  • 이원희;허윤무
    • 오토저널
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    • 제12권6호
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    • pp.11-17
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    • 1990
  • 자동차용 변속기의 설계에 있어서 적용 Engine의 출력 및 차량 성능에 부합하는 동력전달 요소의 전달 용량 및 내구 수명을 고려해야 한다. 특히 자동차가 고속 경량화됨에 따라 변속기의 설계에 있어서도 동력전달 요소들의 소형 고용량화가 요구되며 이를 위해서는 설계시 동력전달 요소들의 정확한 강도 및 피로수명 예측이 필수적이다. 본 보고서에서는 Gear의 굽힘응력 계산식에 대한 고찰 및 Gear의 피로시험을 통하여 Helical 치차의 Bending stress에 대한 피로수명 곡선의 시험식을 도출하였다.

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굽힘 하중을 받는 복합재 기계적 체결부의 강도예측에 관한 연구 (A Study on Strength Prediction of Mechanical Joint of Composite under Bending Load)

  • 백설;강경탁;이진아;전흥재
    • Composites Research
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    • 제27권6호
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    • pp.213-218
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    • 2014
  • 본 논문에서는 특성길이 및 특성 곡선 방법을 굽힘 하중 상태의 복합재 기계적 체결부에 적용하여 강도를 예측하는 연구를 수행하였다. 선행 연구들이 특성길이 및 특성 곡선 방법을 인장과 압축 하중에만 적용한 것과 달리 본 연구에서는 굽힘 하중에 적용하고 그 가능성을 확인했다. 체결부 파손 해석을 위해 ABAQUS를 사용하여 핀과 모재의 접촉 및 마찰을 고려한 비선형 해석을 수행하였다. 해석결과를 이용하여 얻은 특성 곡선상에서 Tsai-Wu 이론을 적용하여 파손 및 파단 양상을 예측하였다. 또한 복합재 시편에 굽힘 하중을 가해 파손하중을 알아보는 실험을 통해 검증한 결과 해석으로 얻은 복합재 체결부의 파손하중이 실험 결과와 매우 잘 일치함을 확인하였다. 결론적으로 특성길이 및 특성 곡선 방법이 굽힘 하중 상태의 복합재 기계적 체결부의 강도를 비교적 잘 예측할 수 있다는 것을 알 수 있었다.

Elastic flexural and torsional buckling behavior of pre-twisted bar under axial load

  • Chen, Chang Hong;Yao, Yao;Huang, Ying
    • Structural Engineering and Mechanics
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    • 제49권2호
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    • pp.273-283
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    • 2014
  • According to deformation features of pre-twisted bar, its elastic bending and torsion buckling equation is developed in the paper. The equation indicates that the bending buckling deformations in two main bending directions are coupled with each other, bending and twist buckling deformations are coupled with each other as well. However, for pre-twisted bar with dual-axis symmetry cross-section, bending buckling deformations are independent to the twist buckling deformation. The research indicates that the elastic torsion buckling load is not related to the pre-twisted angle, and equals to the torsion buckling load of the straight bar. Finite element analysis to pre-twisted bar with different pre-twisted angle is performed, the prediction shows that the assumption of a plane elastic bending buckling deformation curve proposed in previous literature (Shadnam and Abbasnia 2002) may not be accurate, and the curve deviates more from a plane with increasing of the pre-twisting angle. Finally, the parameters analysis is carried out to obtain the relationships between elastic bending buckling critical capacity, the effect of different pre-twisted angles and bending rigidity ratios are studied. The numerical results show that the existence of the pre-twisted angle leads to "resistance" effect of the stronger axis on buckling deformation, and enhances the elastic bending buckling critical capacity. It is noted that the "resistance" is getting stronger and the elastic buckling capacity is higher as the cross section bending rigidity ratio increases.

High Temperature Properties of Fiber Reinforced Composites under the Different Loading Conditions

  • Weiguang, Hu;Park, Soo-Jeong;Kim, Yun-Hae
    • Composites Research
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    • 제30권3호
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    • pp.188-192
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    • 2017
  • The mechanical properties of composites are significantly affected by external environment. It is essential to understand the degradation of material performance and judge the material's lifetime in advance. In the current research, changes in mechanical properties of glass fiber and unsaturated polyester composite materials (GFRP, Glass fiber reinforced plastic) were investigated under different bending stress and submerged in hot water at a temperature of $80^{\circ}C$. Loading time of 100 H (hours), 200 H, 400 H, 600 H, 800 H for testing under stresses equal to 0% (stress-free state), 30%, 50% and 70% of the ultimate strength was applied on the GFRP specimens. From the values of bending stress, obtained from three-point bending test, fracture energy, failure time, and life curve were analysed. Moreover, a normalized strength degradation model for this condition was also developed. It was observed that within 100 H, the decline rate of the bending strength was proportional to the pressure.

Deflections and rotations in rectangular beams with straight haunches under uniformly distributed load considering the shear deformations

  • Barquero-Cabrero, Jose Daniel;Luevanos-Rojas, Arnulfo;Lopez-Chavarria, Sandra;Medina-Elizondo, Manuel;Velazquez-Santillan, Francisco;Sandoval-Rivas, Ricardo
    • Smart Structures and Systems
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    • 제22권6호
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    • pp.689-697
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    • 2018
  • This paper presents a model of the elastic curve for rectangular beams with straight haunches under uniformly distributed load and moments in the ends considering the bending and shear deformations (Timoshenko Theory) to obtain the deflections and rotations on the beam, which is the main part of this research. The traditional model of the elastic curve for rectangular beams under uniformly distributed load considers only the bending deformations (Euler-Bernoulli Theory). Also, a comparison is made between the proposed and traditional model of simply supported beams with respect to the rotations in two supports and the maximum deflection of the beam. Also, another comparison is made for beams fixed at both ends with respect to the moments and reactions in the support A, and the maximum deflection of the beam. Results show that the proposed model is greater for simply supported beams in the maximum deflection and the traditional model is greater for beams fixed at both ends in the maximum deflection. Then, the proposed model is more appropriate and safe with respect the traditional model for structural analysis, because the shear forces and bending moments are present in any type of structure and the bending and shear deformations appear.