• 제목/요약/키워드: Static Equilibrium Analysis

검색결과 178건 처리시간 0.022초

하중분해법을 사용한 제형 다실박스거더의 뒤틀림 해석 (Distortional Analysis of Multicell Box Girders with a Trapezoidal Cross-Section Using Force-Decomposition Method)

  • 김승준;박남회;강영종
    • 대한토목학회논문집
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    • 제28권6A호
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    • pp.779-788
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    • 2008
  • 본 논문에서는 편재하된 하중이 작용하는 제형 다실 박스거더의 정확한 뒤틀림 거동규명을 위해 3차원 쉘 요소를 사용한 해석법이 제안된다. 쉘 요소를 사용한 독립적인 뒤틀림 해석을 위해서는 정확한 뒤틀림 하중을 산정해야 하는데 본 논문에서는 정역학적인 힘의 평형조건 및 중첩의 원리를 토대로 작용하는 편재하된 하중을 제형 다실 박스거더의 주요한 거동을 유발하는 하중들로 분해하는 하중분해식을 유도하였다. 제안된 하중분해식에 의해 편재하된 하중은 휨과 비틂 그리고 뒤틀림 거동을 유발하는 하중들로 분해되고 이렇게 분해된 하중들을 쉘 요소에 적용하면 각 거동의 독립적인 해석결과를 얻을 수 있다. 이러한 독립적인 해석법은 다실 박스거더의 주요 거동의 역학적 특성을 이해하는 데 매우 유용할 것이고 특히 박스거더의 뒤틀림 거동에 대해 명확히 규명할 수 있는 기반을 마련할 수 있을 것이다. 그리고 현장의 설계자가 복잡한 뒤틀림 상수들을 계산하지 않고도 간단한 쉘요소 모델을 이용하여 독립적인 뒤틀림 해석을 수행할 수 있도록 큰 도움을 줄 수 있을 것이다.

A stress-function variational approach toward CFRP -concrete interfacial stresses in bonded joints

  • Samadvand, Hojjat;Dehestani, Mehdi
    • Advances in concrete construction
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    • 제9권1호
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    • pp.43-54
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    • 2020
  • This paper presents an innovative stress-function variational approach in formulating the interfacial shear and normal stresses in an externally bonded concrete joint using carbon fiber-reinforced plastic (CFRP) plies. The joint is subjected to surface traction loadings applied at both ends of the concrete substrate layer. By introducing two interfacial shear and normal stress functions on the CFRP-concrete interface, based on Euler-Bernoulli beam idea and static stress equations of equilibrium, the entire stress fields of the joint were determined. The complementary strain energy was minimized in order to solve the governing equation of the joint. This yields an ordinary differential equation from which the interfacial normal and shear stresses were proposed explicitly, satisfying all the multiple traction boundary conditions. Lamination theory for composite materials was also employed to obtain the interfacial stresses. The proposed approach was validated by the analytic models in the literature as well as through a comprehensive computational code generated by the authors. Furthermore, a numerical verification was carried out via the finite element software ABAQUS. In the end, a scaling analysis was conducted to analyze the interfacial stress field dependence of the joint upon effective issues using the devised code.

TIRE MESH 모델을 활용한 랙추력 추정법 개발 (Rack Force Estimation Method using a Tire Mesh Model)

  • 김민준;장세현;이병림;박영대;조현석
    • 한국자동차공학회논문집
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    • 제22권3호
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    • pp.130-135
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    • 2014
  • In this paper, a new estimation method is proposed to calculate steering rack axial force using a 3 dimensional tire mesh model when a car is standing on the road. This model is established by considering changes of camber angle and contact patch between the tires and the ground according to steering angle. The steering rack bar axial force is estimated based on the static equilibrium equations of forces and moments. A tire friction force is supposed to act on the center point of the contact patch, and the proportional coefficient of friction depending on contact patch is suggested. Using the proposed estimation method, rack axial force sensitivity analysis is evaluated according to changes of suspension geometry. Then optimal motor power of Motor Driven Power Steering(MDPS) is evaluated using suggested rack forces.

충만 디스크의 면내 진동 해석을 위한 1차원 환상 평판 요소 (A One-dimensional Annular Plate Element for In-plane Vibration Analysis of Full Disks)

  • 곽동희;임정기;김창부
    • 한국소음진동공학회논문집
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    • 제19권12호
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    • pp.1338-1346
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    • 2009
  • We present a one-dimensional annular plate element with which the in-plane vibration of full disks can be analyzed efficiently and accurately by using the FEM. Its elementary mass matrix and stiffness matrix are derived, respectively, from the virtual work by effective forces and the virtual strain energy. The static deformation modes obtained from an integration of the differential equilibrium equations of the annular plate are used as interpolation functions of the one-dimensional annular plate element. The in-plane natural vibration characteristics of a 2-step full disk and a uniform full disk are analysed. Its results are compared with the results obtained by utilizing two-dimensional 8-node quadrilateral plane elements and cyclic symmetry of the disk. And also, by comparing with the theoretical results of previous researchers, the efficiency and accuracy of the presented element are verified.

LIFE-SPAN SIMULATION AND DESIGN APPROACH FOR REINFORCED CONCRETE STRUCTURES

  • An, Xuehui;Maekawa, Koichi;Ishida, Tetsuya
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.3-17
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    • 2007
  • This paper provides an introduction to life-span simulation and numerical approach to support the performance design processes of reinforced concrete structures. An integrated computational system is proposed for life-span simulation of reinforced concrete. Conservation of moisture, carbon dioxide, oxygen, chloride, calcium and momentum is solved with hydration, carbonation, corrosion, ion dissolution. damage evolution and their thermodynamic/mechanical equilibrium. Coupled analysis of mass transport and damage mechanics associated with steel corrosion is presented for structural performance assessment of reinforced concrete. Multi-scale modeling of micro-pore formation and transport phenomena of moisture and ions are mutually linked for predicting the corrosion of reinforcement and volumetric changes. The interaction of crack propagation with corroded gel migration can also be simulated. Two finite element codes. multi-chemo physical simulation code (DuCOM) and nonlinear dynamic code of structural reinforced concrete (COM3) were combined together to form the integrated simulation system. This computational system was verified by the laboratory scale and large scale experiments of damaged reinforced concrete members under static loads, and has been applied to safety and serviceability assessment of existing structures. Based on the damage details predicted by the nonlinear finite element analytical system, the life-span-cost of RC structures including the original construction costs and the repairing costs for possible damage during the service life can be evaluated for design purpose.

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Micro-Mechanical Approach for Spanwise Periodically and Heterogeneously Beam-like Structures

  • 이창용
    • 한국태양에너지학회 논문집
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    • 제36권3호
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    • pp.9-16
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    • 2016
  • This paper discusses a refined model for investigating the micro-mechanical behavior of beam-like structures, which are composed of various elastic moduli and complex geometries varying through the cross-section directions and are also periodically-repeated and heterogeneous along the axial direction. Following the previous work (Lee and Yu, 2011), the original three-dimensional static problem is first formulated in a unified and compact form using the concept of decomposition of the rotation tensor. Taking advantage of the smallness of the cross-sectional dimension-to-length parameter and the micro-to-macro heterogeneity, while also performing homogenization along the dimensional reduction simultaneously, the variational asymptotic method is rigorously used to construct a total energy function, which is asymptotically correct up to the second order. Furthermore, through the transformation procedure based on the pure kinematic relations and the linearized equilibrium equations, a generalized Timoshenko model is systematically established. For the purpose of dealing with realistic and complex geometries and constituent materials at the microscopic level, this present approach is incorporated into a commercial analysis package. A few examples available in literature are used to demonstrate the consistency and efficiency of this proposed model, especially for the structures, in which the effects of transverse shear deformations are significant.

Time-dependent analysis of cable trusses -Part I. Closed-form computational model

  • Kmet, S.;Tomko, M.
    • Structural Engineering and Mechanics
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    • 제38권2호
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    • pp.157-169
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    • 2011
  • In this paper the time-dependent closed-form static solution of the suspended pre-stressed biconcave and biconvex cable trusses with unmovable, movable and elastic or viscoelastic yielding supports subjected to various types of vertical load is presented. Irvine's forms of the deflections and the cable equations are modified because the effects of the rheological behaviour needed to be incorporated in them. The concrete cable equations in the form of the explicit relations are derived and presented. From a solution of a vertical equilibrium equation for a loaded cable truss with rheological properties, the additional vertical deflection as a time-function is determined. The time-dependent closed-form model serves to determine the time-dependent response, i.e., horizontal components of cable forces and deflection of the cable truss due to applied loading at the investigated time considering effects of elastic deformations, creep strains, temperature changes and elastic supports. Results obtained by the present closed-form solution are compared with those obtained by FEM. The derived time-dependent closed-form computational model is used for a time-dependent simulation-based reliability assessment of cable trusses as is described in the second part of this paper.

경직형 양하지 뇌성마비 아동의 전방머리자세와 신체기능간의 상관관계 (Study on the Correlation Between Physical Function and Forward Head Posture in Spastic Diplegia)

  • 조영은;이은주
    • PNF and Movement
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    • 제19권2호
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    • pp.163-172
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    • 2021
  • Purpose: This study investigated the correlation between physical function and forward head posture in spastic diplegia. Methods: The subjects of this study were 10 spastic diplegia patients. We took pictures of the subjects' craniovertebral angle with a digital camera to determine the degree of forward head posture and then analyzed them using the NIH image J program. The physical function test used the TCMS, the BBT, and a spirometer. The data in this study were measured using SPSS version 23.0, and the statistical significance level α was 0.05. A Pearson correlation coefficient analysis was performed to identify the correlation between the degree of the subject's head forward position and physical function. Results: When we performed the BBT and spirometer tests, the subjects' forward head postures were not correlated (p < 0.05). However, with the TCMS, there was a strong correlation between the forward position of the head and balance, with balance decreasing as the head position increased (p < 0.05). Conclusion: Spastic diplegia patients with severe forward head posture showed problems with static balance, dynamic balance, and equilibrium reaction when sitting. Intervention on the right posture and preventive activities will be needed to improve the health of spastic diplegia patients and prevent future problems with physical function.

Buckling and bending of coated FG graphene-reinforced composite plates and shells

  • Ahmed Amine Daikh;Amin Hamdi;Hani M. Ahmed;Mohamed S. Abdelwahed;Alaa A. Abdelrahman;Mohamed A. Eltaher
    • Advances in nano research
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    • 제15권2호
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    • pp.113-128
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    • 2023
  • The advancement of theoretical research has numerous challenges, particularly with regard to the modeling of structures, in contrast to experimental investigation of the mechanical behavior of complex systems. The main objective of this investigation is to provide an analytical analysis of the static problem of a new generation of composite structure, namely, functionally graded FG graphene reinforced composite GRC coated plates/shells. A complex power law function is used to define the material's graduation. Investigations are conducted on Hardcore and Softcore coated FG plates/shells. The virtual work approach is used to perform the equilibrium equations, which are then solved using the Galerkin technique to account for various boundary conditions. With reliable published articles, the presented solution is validated. The effects of hardcore and softcore distributions, gradation indexes, and boundary conditions on the buckling, bending deflection and stresses of FG GRC-coated shells are presented in detail. Obtained results and the developed procedure are supportive for design and manufacturing of FG-GRC coated plates/shells in several fields and industries e.g., aerospace, automotive, marine, and biomedical implants.

Nonlocal Mindlin plate theory with the application for vibration and bending analysis of nanoplates with the flexoelectricity effect

  • Pham Ba Khien;Du Dinh Nguyen;Abdelouahed Tounsi;Bui Van Tuyen
    • Advances in nano research
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    • 제16권1호
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    • pp.27-40
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    • 2024
  • This work is the first of its kind to integrate Mindlin's theory with analytical methods in order to produce an exact solution to a specific vibration issue as well as a bending problem involving a nanoplate that is supported by a viscoelastic foundation. The plate is exposed to the simultaneous effects of a compressive load in the plate plane and a force operating perpendicular to the plane of the nanoplate. In addition, the flexoelecity effect is included into the plate. The strain gradient component is taken into consideration while calculating the plate equilibrium equation using the nonlocal theory and Hamilton's principle. The free vibration and static responses of the nanoplate seem to be both real and imaginary components because of the appearance of the viscoelastic drag coefficient of the viscoelastic foundation. This study also shows that when analyzing the mechanical response for nanostructure, taking into account the flexoelectricity effect and the influence of the nonlocal parameter, the results will be completely different from the case in which this parameter is ignored. This indicates that it is vital to take into consideration the effects of nonlocal parameters on the nanosheet structure while also taking into consideration the effect of flexoelectricity.