• 제목/요약/키워드: Equivalent Rigidities

검색결과 12건 처리시간 0.022초

사각 주름판의 굽힘강성 및 굽힘해석 (Bending Analysis and Flexural Rigidity of Rectangular Corrugated Plates)

  • 정강;김영완
    • 동력기계공학회지
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    • 제16권6호
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    • pp.38-44
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    • 2012
  • In this paper, the bending characteristics of the corrugated plates is analyzed. The trapezoidally, triangularlly and sinusoidally corrugated plates are considered. The corrugated plate is treated as an orthotropic plate that has different flexural properties in two perpendicular directions. The equivalent bending and twisting rigidities for the equivalent orthotropic plates are derived. The equivalent flexural rigidities are estimated under the following postulations: (1) The angle of continuously corrugated plate is not changed after the deformation. (2) When the pure bending moment is applied in corrugated direction of the plate, the its plane is in pure bending. Several numerical examples are analyzed with the proposed method and compared with published results.

補剛平板의 一般理論 硏究 (Study on the General Theory of Stiffened Plates)

  • 김천욱;원종진
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.287-295
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    • 1987
  • 본 논문에서는 보강평간이론의 일반화를 위하여 해석모델을 비대칭 사교보강 평판으로 설정하였으며 응력과 변형율의 관계식을 수정도심을 이용하여 표시하였다. 힘의 평형관계로부터 직교축방향 곡률의 영향을 고려한 수정도심의 위치를 산정하였으 며 변형에너지법에 의하여 보강재교차부의 역학적 특성을 고려한 판의 처짐의 4계편미 분방정식을 유도하였다. 또한, 본 이론의 정밀성을 입증하기 위하여 진동법에 의한 실험 등가강성을 산정하고 이론치와 비교, 검토하였다.

최적 단면 치수를 가지는 복합재료 U-Beam의 설계 (Design of composite channel section beam for optimal dimensions)

  • 이헌창;전흥재;박지상;변준형
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 추계학술발표대회 논문집
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    • pp.276-279
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    • 2002
  • A problem formulation and solution for design optimization of laminated composite channel section beam is presented in this study. The objective of this study is the determination of optimum section dimensions of composite laminated channel section beam which has equivalent flexural rigidities to flexural rigidities of steel channel section beam. The analytical model is based on the laminate theory and accounts for the material coupling for arbitrary laminate stacking sequence configuration. The model is used to determine the optimal section dimensions of composite channel section beam. The web height, flange width and thickness of the beam are treated as design variables. The solutions described are found using a global search algorithm, Genetic Algorithms (GA).

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Simple method for static and dynamic analyses of guyed towers

  • Meshmesha, H.;Sennah, K.;Kennedy, J.B.
    • Structural Engineering and Mechanics
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    • 제23권6호
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    • pp.635-649
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    • 2006
  • The static and dynamic responses of guyed telecommunication towers can be determined by using two models, the space truss element model, and the equivalent beam-column element model. The equivalent beam-column analysis is based on the determination of the equivalent shear, torsion, and bending rigidities as well as the equivalent area of the guyed mast. In the literature, two methods are currently available to determine the equivalent properties of lattice structures, namely: the unit load method, and the energy approach. In this study, an equivalent beam-column analysis is introduced based on an equivalent thin plate approach for lattice structures. A finite-element modeling, using suitably modified ABAQUS software, is used to investigate the accuracy of utilizing the different proposed methods in determining the static and dynamic responses of a guyed tower of 364.5-meter high subjected to static and seismic loading conditions. The results from these analyses are compared to those obtained from a finite-element modeling of the actual structure using 3-D truss and beam elements. Good agreement is shown between the different proposed beam-column models, and the model of the actual structure. However, the proposed equivalent thin plate approach is simpler to apply than the other two approaches.

최적 단면 치수를 가지는 복합재료 중공 빔의 설계 (Design of Cylindrical Composite Shell for Optimal Dimensions)

  • 최용진;전흥재;박혁성
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.127-133
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    • 2003
  • In this study, a problem formulation and solution for design optimization of laminate composite cylindrical beam section is presented. The objective of this research is to determine the optimal dimension of the laminated composite cylindrical beam sections which has the equivalent flexural rigidities to those of the steel cylindrical beam sections. The analytical model is based on the laminate theory and accounts for the material coupling for arbitrary laminate stacking sequence configuration. The outer diameter and thickness of the beam are design variables. The solutions described are found using a global search algorithm, Genetic Algorithms (GA).

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Vibration of nonlocal perforated nanobeams with general boundary conditions

  • Eltaher, Mohamed A.;Mohamed, Norhan A.
    • Smart Structures and Systems
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    • 제25권4호
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    • pp.501-514
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    • 2020
  • This article presents a comprehensive model to investigate a free vibration and resonance frequencies of nanostructure perforated beam element as nano-resonator. Nano-scale size dependency of regular square perforated beam is considered by using nonlocal differential form of Eringen constitutive equation. Equivalent mass, inertia, bending and shear rigidities of perforated beam structure are developed. Kinematic displacement assumptions of both Timoshenko and Euler-Bernoulli are assumed to consider thick and thin beams, respectively. So, this model considers the effect of shear on natural frequencies of perforated nanobeams. Equations of motion for local and nonlocal elastic beam are derived. After that, analytical solutions of frequency equations are deduced as function of nonlocal and perforation parameters. The proposed model is validated and verified with previous works. Parametric studies are performed to illustrate the influence of a long-range atomic interaction, hole perforation size, number of rows of holes and boundary conditions on fundamental frequencies of perforated nanobeams. The proposed model is supportive in designing and production of nanobeam resonator used in nanoelectromechanical systems NEMS.

Preliminary Structural Design of Wall-Frame Systems for Optimum Torsional Response

  • Georgoussis, George K.
    • International Journal of Concrete Structures and Materials
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    • 제11권1호
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    • pp.45-58
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    • 2017
  • Recent investigations have pointed out that current code provisions specifying that the stiffness of reinforced concrete elements is strength independent, and therefore can be estimated prior to any strength assignment, is incorrect. A strength allocation strategy, suitable for preliminary structural design of medium height wall-frame dual systems, is presented for allocating strength in such buildings and estimating the dependable rigidities. The design process may be implemented by either the approximate continuous approach or the stiffness matrix method. It is based on the concept of the inelastic equivalent single-degree-of-freedom system which, the last few years, has been used to implement the performance based seismic design. The aforesaid strategy may also be used to determine structural configurations of minimum rotation distortion. It is shown that when the location of the modal centre of rigidity, as described in author's recent papers, is within a close distance from the mass axis the torsional response is mitigated. The methodology is illustrated in ten story building configurations, whose torsional response is examined under the ground motion of Kobe 1995, component KJM000.

콘테이너선의 수평-비틂연성진동 해석 (Analysis of Coupled Horizontal-Torsional Vibrations of Container Ships)

  • 김극천;김상주
    • 대한조선학회지
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    • 제23권4호
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    • pp.1-10
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    • 1986
  • A container ship, due to wide hatch openings, has characteristics of poor torsional rigidity, strong coupling of horizontal-torsional modes and significant discontinuity in the longitudinal variation of hull sections. In the mathematical formulation of the problem the hull is modeled as a beam and the transfer matrix method is utilized. The cross decks between cargo hatch opening are separated from the main hull and regarded as equivalent springs restraining torsion of hull. The effect of shear deformation of ship-side plating on torsion is taken into account in addition to St. Venant's and bending torsional rigidities. Compatibility requirements at cross section discontinuity are approximately considered. Developing the practical calculation procedure and the computer programs for application to an actual ship, some parametric studies on modeling methods of the cross deck, the compatibility condition, added-mass center etc. are out for the purpose of comparison.

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강체요소법(剛體要素法)에 의한 보강판(補剛板)의 붕괴해석(崩壞解析) (Collapse Analysis of Stiffened Plates by Rigid Element Method)

  • 임상전;장창두;김남철
    • 대한조선학회지
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    • 제25권4호
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    • pp.47-57
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    • 1988
  • A new discrete method using idealized rigid body-spring model is introduced. This rigid element method is known to be more efficient and accurate than the finite element method in the inelastic range of structural analysis owing to simplified stress-strain and strain-displacement relations This kind of physical concept using idealized rigid model has been already applied among structural engineers to some problems such as rigid-plastic analysis or plastic design considering rigid bodies and plastic hinges. However the most rigorous and systematic research has been recently performed by T. Kawai et al.[1]. In this paper, an attempt is made to analyze the collapse behavior of stiffened plates under lateral loading by some modification and expansion of Kawai's rigid element approach to the collapse of plates without stiffener. Stiffened plates are treated as orthotropic plates which have equivalent bending rigidities. By employing Morley's plate element resubdivision technique, variety is given to mesh-division styles which have greate effect on the accuracy of numerical results. Some examples are shown to verify the validity of applying rigid element method to the ultimate strength analysis of stiffened plates. It is clarified that lateral deflections and detailed collapse patterns up to the ultimate state of stiffened plates can be easily obtained by the present approach.

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최적 단면 치수를 가지는 복합재료 중공빔의 설계 (Design of Cylindrical Composite Shell for Optimal Dimensions)

  • 전흥재;박혁성;최용진
    • 한국전산구조공학회논문집
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    • 제18권3호
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    • pp.219-226
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    • 2005
  • 본 연구에서는 휠체어의 경량화를 위해 기존의 강관으로 제작된 휠체어를 피로파괴 및 손상에 강하고 방진 특성이 우수하며 유지 및 보수가 용이한 복합재료 중공빔으로 구성된 복합재료 휠체어로 대체하기 위하여 복합재료 중공빔 이론과 유전자 알고리즘을 적용하여 최적화된 등가 강성을 가지는 복합재료 중공빔의 최적의 단면 치수를 제시하였다. 제시한 최적의 단면치수를 가지는 복합재료 중공빔으로 구성된 휠체어 전체 구조에 Tsai-Wu 파손이론을 이용해 과하중이 가해지는 경우에 대하여 구조해석을 수행한 결과, 휠체어의 파손 유무를 나타내는 Makimum Tsai-Wu Failure Criteria Index가 파손이 발생하는 1.00보다 현저히 낮은 $0.192\times10^{-3}$을 나타내고 있음을 알 수 있었다. 또한 기존의 강관을 동일한 강성을 가지는 복합재료 증공빔으로 대체하였을 경우 중공빔 중량을 최대 45%감소하는 효과를 얻을 수 있음을 확인할 수 있었다.