• 제목/요약/키워드: Non-Circular Cross Beam

검색결과 16건 처리시간 0.021초

Buckling analysis of linearly tapered micro-columns based on strain gradient elasticity

  • Akgoz, Bekir;Civalek, Omer
    • Structural Engineering and Mechanics
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    • 제48권2호
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    • pp.195-205
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    • 2013
  • The buckling problem of linearly tapered micro-columns is investigated on the basis of modified strain gradient elasticity theory. Bernoulli-Euler beam theory is used to model the non-uniform micro column. Rayleigh-Ritz solution method is utilized to obtain the critical buckling loads of the tapered cantilever micro-columns for different taper ratios. Some comparative results for the cases of rectangular and circular cross-sections are presented in graphical and tabular form to show the differences between the results obtained by modified strain gradient elasticity theory and those achieved by modified couple stress and classical theories. From the results, it is observed that the differences between critical buckling loads achieved by classical and those predicted by non-classical theories are considerable for smaller values of the ratio of the micro-column thickness (or diameter) at its bottom end to the additional material length scale parameters and the differences also increase due to increasing of the taper ratio.

Mechanical parameters detection in stepped shafts using the FEM based IET

  • Song, Wenlei;Xiang, Jiawei;Zhong, Yongteng
    • Smart Structures and Systems
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    • 제20권4호
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    • pp.473-481
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    • 2017
  • This study suggests a simple, convenient and non-destructive method for investigation of the Young's modulus detection in stepped shafts which only utilizes the first-order resonant frequency in flexural mode and dimensions of structures. The method is based on the impulse excitation technique (IET) to pick up the fundamental resonant frequencies. The standard Young's modulus detection formulas for rectangular and circular cross-sections are well investigated in literatures. However, the Young's modulus of stepped shafts can not be directly detected using the formula for a beam with rectangular or circular cross-section. A response surface method (RSM) is introduced to design numerical simulation experiments to build up experimental formula to detect Young's modulus of stepped shafts. The numerical simulation performed by finite element method (FEM) to obtain enough simulation data for RSM analysis. After analysis and calculation, the relationship of flexural resonant frequencies, dimensions of stepped shafts and Young's modulus is obtained. Numerical simulations and experimental investigations show that the IET method can be used to investigate Young's modulus in stepped shafts, and the FEM simulation and RSM based IET formula proposed in this paper is applicable to calculate the Young's modulus in stepped shaft. The method can be further developed to detect mechanical parameters of more complicated structures using the combination of FEM simulation and RSM.

반복하중을 받는 외부 보-기둥 접합부에서 작은 헤드를 사용한 Headed Bar적용 (Application of Headed Bars with Small Head in Exterior Beam-Column Joints Subjected to Reversed Cyclic Loads)

  • 하상수;최동욱;이창호
    • 콘크리트학회논문집
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    • 제19권4호
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    • pp.411-420
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    • 2007
  • 본 연구는 반복 수평 하중을 받는 외부 보-기둥 접합부에서 작은 헤드를 사용한 headed bar의 사용성을 검증하기 위해 $90^{\circ}$ 표준갈고리로 정착한 실험체와 headed bar로 정착한 접합부 실험체를 제작하여 각각의 실험 결과를 비교하였다. 또한, headed bar 정착 성능에 영향을 주는 헤드 단면적, 단조 및 반복 가력 여부, 헤드와 보강근의 용접 여부등의 headed bar 인발 성능에 관한 영향을 구명하기 위한 인발실험을 병행하였다. 인발실험의 결과, headed bar의 인발강도는 헤드 면적 증가에 따라 증가하였고, 헤드와 보강근의 용접 유무, 가력 조건 (단조하중 및 반복하중)은 실험 결과에 큰 영향을 미치지 않는 것으로 나타났다. 외부 보-기둥 접합부 실험의 결과, $90^{\circ}$ 표준갈고리로 정착한 실험체와 headed bar로 정착한 실험체가 초기 균열, 균열의 발생 등 모두 거의 비슷한 양상이었으나, 최종 파괴 시에는 headed bar로 정착된 실험체가 $90^{\circ}$ 표준갈고리로 정착된 실험체에 비해 최대 강도 도달 이후 연성 거동, 연성비 및 변형 성능, 에너지소산 면적 등에서 우수한 거동을 보여주었다. 따라서 ACI 352 위원회의 설계지침을 따라서 제작된 접합부 상세와 동일한 조건으로 표준갈고리 대신 상대적으로 작은 headed bar를 사용할 수 있을 것으로 판단된다.

원호형 띠기초의 자유진동 해석 (Free Vibration Analysis of Circular Strip Foundations)

  • 이종국;강희종;이병구
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 추계학술대회논문집
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    • pp.898-901
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    • 2004
  • Since soil-structure interactions are one of the most important subjects in the structural/foundation engineering, much study concerning the soil-structure interactions had been carried out. One of typical structures related to the soil-structure interactions is the strip foundation which is basically defined as the beam or strip rested on or supported by the soils. At the present time, lack of studies on dynamic problems related to the strip foundations is still found in the literature. From these viewpoint, this paper aims to theoretically investigate dynamics of the circular strip foundations and also to present the practical engineering data for the design purpose. Differential equations governing the free, out-of-plane vibrations of such strip foundations are derived, in which effects of the rotatory and torsional inertias and also shear deformation are included although the warping of the cross-section is excluded. Governing differential equations subjected to the boundary conditions of corresponding end constraints are numerically solved for obtaining the natural frequencies and mode shapes by using the numerical integration technique and the numerical method of non-linear equation.

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석조유구(石造遺構)를 통한 한국(韓國) 고대건축(古代建築)에 관한 연구(硏究) -삼국시대와 통일신라시대를 중심으로- (A Study on the Ancient Architecture in view of the Stone Remains (focused on the 3 Kingdom Period and Unificated Shilla Period))

  • 천득염;박지민
    • 건축역사연구
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    • 제8권3호
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    • pp.23-38
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    • 1999
  • The purpose of this study is to analogize the appearance of Korean Ancient Architecture in view of the Stone Remains from 3 Kingdom Period to Unificated Shilla Period. But in these period, there is no building remains but some stupas and fine arts. Especially, there are many architectural appearance and revealing signature in these Historical Stone remains. Architectural elements which are analogized by stone remains what has value as historical materials by preservation of original form from 3 Kingdom Preiod to Unificated Shilla Period are as follows : 1) Platform, the representative characteristic of Korean traditional architecture, was frame structure and accumulate structure. And circular or square footing stood a same shape column on it is put on the platform. 2) In the case of column, there used entasis column and inclined column and circular chamfer technique was applied on the top side of it. Upper side of column, capital and head pentrating tie that small bearing block was put on the center of it was joined. And longitu야nal rest(長舌) supported a cross beam. Capital and small bearing block had no bottom heel, and heel side was curved and straight. Centered bracket structure was often used, and multi bracket structure is not used yet. Inward incline technique was used. 3) Inward opening pair door which had lintel, threshold, doorjamb was usually used, Fixing stone was used for structural safety, and circular handle and lock was used for decoration. Handrail was used on the edge of wooden floor for decorative effect and safety. 4) Square rafter and circular rafter were used in the same period and so did flying rafter. Double eaves and single eave were used in the same period but, single eave was usually used. In this period, square rafter was usually used. This would be studied more by comparing with Japanese wooden architecture. 5) Hipped roof was used and half-hipped roof was not used yet. In front of th hip, there are small sculpture called Jap-Sang(雜像), and windbell was hang on the end of the hip rafter. Concave roof tile, convex roof tile, round eaver tile, decorative tile at end of roof ridge were used. Lotus style was well used on the face of roof tile for decoration. From the results of this study, wooden architecture of Unificated Shilla period was simple compare to Koryo dynasty and Chosun dynasty but, it had some brilliant character. It was hard work that analogized the form of non-existent wood architecture of Ancient Korean period by restricted stone remains. But, in addition to the results of this study and research of old documentations, more study should be go on.

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Isogeometric method based in-plane and out-of-plane free vibration analysis for Timoshenko curved beams

  • Liu, Hongliang;Zhu, Xuefeng;Yang, Dixiong
    • Structural Engineering and Mechanics
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    • 제59권3호
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    • pp.503-526
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    • 2016
  • In-plane and out-of-plane free vibration analysis of Timoshenko curved beams is addressed based on the isogeometric method, and an effective scheme to avoid numerical locking in both of the two patterns is proposed in this paper. The isogeometric computational model takes into account the effects of shear deformation, rotary inertia and axis extensibility of curved beams, and is applicable for uniform circular beams, and more complicated variable curvature and cross-section beams as illustrated by numerical examples. Meanwhile, it is shown that, the $C^{p-1}$-continuous NURBS elements remarkably have higher accuracy than the finite elements with the same number of degrees of freedom. Nevertheless, for in-plane or out-of-plane vibration analysis of Timoshenko curved beams, the NURBS-based isogeometric method also exhibits locking effect to some extent. To eliminate numerical locking, the selective reduced one-point integration and $\bar{B}$ projection element based on stiffness ratio is devised to achieve locking free analysis for in-plane and out-of-plane models, respectively. The suggested integral schemes for moderately slender models obtain accurate results in both dominated and non-dominated regions of locking effect. Moreover, this strategy is effective for beam structures with different slenderness. Finally, the influence factors of structural parameters of curved beams on their natural frequency are scrutinized.