• Title/Summary/Keyword: elastic analysis

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Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method

  • Yesilce, Yusuf;Catal, Seval
    • Structural Engineering and Mechanics
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    • v.31 no.4
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    • pp.453-475
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    • 2009
  • The literature regarding the free vibration analysis of Bernoulli-Euler and Timoshenko beams on elastic soil is plenty, but the free vibration analysis of Reddy-Bickford beams on elastic soil with/without axial force effect using the Differential Transform Method (DTM) has not been investigated by any of the studies in open literature so far. In this study, the free vibration analysis of axially loaded Reddy-Bickford beam on elastic soil is carried out by using DTM. The model has six degrees of freedom at the two ends, one transverse displacement and two rotations, and the end forces are a shear force and two end moments in this study. The governing differential equations of motion of the rectangular beam in free vibration are derived using Hamilton's principle and considering rotatory inertia. Parameters for the relative stiffness, stiffness ratio and nondimensionalized multiplication factor for the axial compressive force are incorporated into the equations of motion in order to investigate their effects on the natural frequencies. At first, the terms are found directly from the analytical solutions of the differential equations that describe the deformations of the cross-section according to the high-order theory. After the analytical solution, an efficient and easy mathematical technique called DTM is used to solve the governing differential equations of the motion. The calculated natural frequencies of one end fixed and the other end simply supported Reddy-Bickford beam on elastic soil using DTM are tabulated in several tables and figures and are compared with the results of the analytical solution where a very good agreement is observed and the mode shapes are presented in graphs.

Softening Analysis of Reinforced Concrete Frames (철근콘크리트 골조의 연성화 해석)

  • 나유성;홍성걸
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10a
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    • pp.438-443
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    • 1998
  • Softening os the name used for decreasing bending moment at advanced flexural deformation. To accommodate softening deformation in analysis, it is assumed that a hinge has finite length. The softening analysis of R/C frames relies on the primary assumption that softening occurs over a finite hinge length and that the moment-curvature relationship for any section may be closely described by a trilinear approximation. A stiffness matrix for elastic element with softening regions are derived and the stiffness matrix allows extension of the capability of an existing computer program for elastic-plastic analysis to the softening situation. The effect of softening on the collapse load of R/C frame is evaluated.

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Buckling Analysis of Simply Supported Isosceles Trapezoidal Orthotropic Plate Using Collocation and Finite Element Method (선점법과 유한요소법을 사용한 단순지지된 등변사다리꼴 직교이방성판의 좌굴해석)

  • 이병권;채수하;윤순종
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.10a
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    • pp.13-16
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    • 2001
  • This paper presents the results of an elastic buckling analysis of isosceles trapezoidal orthotropic plate. In this study, all edges of plate are assumed to be simply supported and the difference of the applied loads are assumed to be taken out by shear of constant intensity along the sloping sides. For the buckling analysis, collocation method is employed. Finite element analysis is also conducted and the results are compared with theoretical ones.

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A Comparative Study on Elastic-Plastic -Dynamci Analysis of Sheet Metal Forming (탄소성 동적해석시 해에 미치는 여러 인자들의 비교연구)

  • 박종진
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1999.03b
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    • pp.245-248
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    • 1999
  • Explicit dynamic finite element analysis has been used widely in the field of sheet metal forming. However in using the analysis technique there are some parameters which are not clearly defined so that engineers may obtain inaccurate solutions In the present study parameters such as time step damping ratio penalty constant and punch speed were investigated on their influence to the solution behavior. Considered forming processes are plane stain bending by a punch and axisymmetric deep drawing.

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Dynamic Explicit Elastic-Plastic Finite Element Analysis of Large Auto-body Panel Stamping Process (대형 차체판넬 스템핑공정에서의 동적 외연적 탄소성 유한요소해석)

  • 정동원;김귀식;양동열
    • Journal of Ocean Engineering and Technology
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    • v.12 no.1
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    • pp.10-22
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    • 1998
  • In the present work the elastic-plastic FE formulations using dynamic explicit time integration schemes are used for numerical analysis of a large auto-body panel stamping processes. For analyses of more complex cases with larger and more refined meshes, the explicit method is more time effective than implicit method, and has no convergency problem and has the robust nature of contact and friction algorithms while implicit method is widely used because of excellent accuracy and reliability. The elastic-plastic scheme is more reliable and rigorous while the rigid-plastic scheme require small computation time. In finite element simulation of auto-body panel stamping processes, the roobustness and stability of computation are important requirements since the computation time and convergency become major points of consideration besides the solution accuracy due to the complexity of geometry conditions. The performnce of the dynamic explicit algorithms are investigated by comparing the simulation results of formaing of complicate shaped autobody parts, such as a fuel tank and a rear hinge, with the experimental results. It has been shown that the proposed dynamic explicit elastic-plastic finite element method enables an effective computation for complicated auto-body panel stamping processes.

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Ultimate Load Analysis of Axisymmetric Shells of Revolution Subjected to External Pressure (외압(外壓)을 받는 축대칭(軸對稱) Shell의 한계하중(限界荷重)에 관한 연구(硏究))

  • J.B.,Kim;C.Y.,Kim
    • Bulletin of the Society of Naval Architects of Korea
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    • v.20 no.4
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    • pp.1-8
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    • 1983
  • This paper describes the application of the finite element method to the large deflection elastic plastic analysis and ultimate load calculation of axisymmetric shell of revolution with initial imperfection subjected to external pressure. The nonlinear equilibrium equations are linearized by the successive incremental method and are solved by the combination of load increment and iteration scheme with considering plastic deformation theory. To get the more realistic effect of large deflection, corrected coordinats and directions of applied load ar every load increment steps are used. The effects of the plasticity, initial imperfection and the shape of shells on the ultimate load of clamped circular cap under external pressure are investigated. Consequently, the following conclusions are obtained; (1) At same geometric parameter $\lambda$, each shape of clamped circular caps yield same elastic ultimate loads in both cases, i.e. with and without initial imperfections, whereas, in the case of elastic-plastic state the shell becomes thicker, the ultimate loads are getting smaller. (2) The effects of initial imperfection to ultimate load are most significant in the elastic case and are more senstive in the elastic-plastic state with the thinner shells.

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A Study on the Simulation of Welding Deformation for accurate Assembling (고정밀도 조립을 위한 용접 변형의 해석에 관한 연구)

  • Sung, Ki-Chan;Jang, Kyung-Bok;Jung, Jin-Woo;Kang, Sung-Soo
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.4
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    • pp.129-134
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    • 2001
  • It is essential to predict the welding deformation at assembly stage, to increase productivity through mechanization and automation effectively. A practical analysis method appled for production engineering was proposed to simulate the deformation of arc welding, with an analytical model using finite element method solving thermal-elastic-plastic behavior. In this research, for accurate assembling, 3-D thermal-elastic-plastic finite element model is used to simulate the out-of-plane deformation caused by arc welding. Efforts have been made to find out the efficient method to improve the reliability and accuracy of the numerical calculation. Each of theories of small and large deformation is applied in solving 3-D thermal-elastic-plastic problem to compare with their efficiency about calculation imes and solution accuracy. When solid elements are used in a bending problem of a plate, phenomenon that the predictive deformation is more than that of actual survey is observed. To prevent this phenomenon, reduced integration method for element is employed instead of full integration that is generally used in 3-D thermal-elastic-plastic analysis.

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Linear elastic and limit state solutions of beam string structures by the Ritz-method

  • Xue, Weichen;Liu, Sheng
    • Structural Engineering and Mechanics
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    • v.35 no.1
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    • pp.67-82
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    • 2010
  • The beam string structure (BSS) has been widely applied in large span roof structures, while no analytical solutions of BSS were derived for it in the existing literature. In the first part of this paper, calculation formulas of displacement and internal forces were obtained by the Ritz-method for the most commonly used arc-shaped BSS under the vertical uniformly distributed load and the prestressing force. Then, the failure mode of BSS was proposed based on the static equilibrium. On condition the structural stability was reliable, BSS under the uniformly distributed load would fail by tensile strength failure of the string, and the beam remained in the elastic or semi-plastic range. On this basis, the limit load of BSS was given in virtue of the elastic solutions. In order to verify the linear elastic and limit state solutions proposed in this paper, three BSS modal were tested and the corresponding elastoplastic large deformation analysis was performed by the ANSYS program. The proposed failure mode of BSS was proved to be correct, and the analytical results for the linear elastic and limit state were in good agreement with the experimental and FEM results.

Vibration analysis of micro composite thin beam based on modified couple stress

  • Ehyaei, Javad;Akbarizadeh, M. Reza
    • Structural Engineering and Mechanics
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    • v.64 no.4
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    • pp.403-411
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    • 2017
  • In this article, analytical solution for free vibration of micro composite laminated beam on elastic medium based on modified couple stress are presented. The surrounding elastic medium is modeled as the Winkler elastic foundation. The governing equations and boundary conditions are obtained by using the principle of minimum potential energy for EulerBernoulli beam. For investigating the effect of different parameters including material length scale, beam thickness, some numerical results on different cross ply laminated beams such as (90,0,90), (0,90,0), (90,90,90) and (0,0,0) are presented on elastic medium. Free vibration analysis of a simply supported beam is considered utilizing the Fourier series. Also, the fundamental frequency is obtained using the principle of Hamilton for four types of cross ply laminations with hinged-hinged boundary conditions and different beam theories. The fundamental frequency for different thin beam theories are investigated by increasing the slenderness ratio and various foundation coefficients. The results prove that the modified couple stress theory increases the natural frequency under the various foundation for free vibration of composite laminated micro beams.

Effects of gum elastic bougie in intubation with difficult airway (마네킹을 이용한 어려운 기도에서 부지 기관 내 삽관의 효과)

  • Shim, Gyu-Sik;Bang, Sung-Hwan;Ahn, Hee-Jeong
    • The Korean Journal of Emergency Medical Services
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    • v.24 no.2
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    • pp.123-131
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    • 2020
  • Purpose: This study aimed to find out the effectiveness of gum elastic bougies for intubation in comparison to stylet according to airway type using a manikin. Methods: The study subjects were 52 paramedic students who intubated using a Macintosh laryngoscope and compared stylet and gum elastic bougie use in a 7.5 mmID endotracheal tube, on a manikin with either normal or difficult airway. Difficult airway was made Philadelphia neck collar. Collected data included intubation time, accuracy and ease of intubation, later analyzed by frequency analysis, descriptive analysis, independent t-test, chi square test, paired t-test, and McNemar test using SPSS Statistics 18.0. Results: There was a significant difference in intubation time according to intubation device and airway type (p=.000). There was no significant difference in accuracy of intubation according to intubation device or airway type (normal airway p=1.000, difficult airway p=.052). There was a significant difference in ease of intubation scale according to intubation device and airway type (p=.000, p=.000). Conclusion: Based on the speed and ease of intubation, gum elastic bougie is recommended for intubation in patients with difficult airways such as those with cervical injury.