• Title/Summary/Keyword: Continuous Supports

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CONTACT FORCE MODEL FOR A BEAM WITH DISCRETELY SPACED GAP SUPPORTS AND ITS APPROXIMATED SOLUTION

  • Park, Nam-Gyu;Suh, Jung-Min;Jeon, Kyeong-Lak
    • Nuclear Engineering and Technology
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    • v.43 no.5
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    • pp.447-458
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    • 2011
  • This paper proposes an approximated contact force model to identify the nonlinear behavior of a fuel rod with gap supports; also, the numerical prediction of interfacial forces in the mechanical contact of fuel rods with gap supports is studied. The Newmark integration method requires the current status of the contact force, but the contact force is not given a priori. Taylor's expansion can be used to predict the unknown contact force; therefore, it should be guaranteed that the first derivative of the contact force is continuous. This work proposes a continuous and differentiable contact force model with the ability to estimate the current state of the contact force. An approximated convex and differentiable potential function for the contact force is described, and a variational formulation is also provided. A numerical example that considers the particularly stiff supports has been studied, and a fuel rod with hardening supports was also examined for a realistic simulation. An approximated proper solution can be obtained using the results, and abrupt changes from the contacting state to non-contacting state, or vice versa, can be relieved. It can also be seen that not only the external force but also the developed contact force affects the response.

The modal characteristics of non-uniform multi-span continuous beam bridges

  • Shi, Lu-Ning;Yan, Wei-Ming;He, Hao-Xiang
    • Structural Engineering and Mechanics
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    • v.52 no.5
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    • pp.997-1017
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    • 2014
  • According to the structure characteristics of the non-uniform beam bridge, a practical model for calculating the vibration equation of the non-uniform beam bridge is given and the application scope of the model includes not only the beam bridge structure but also the non-uniform beam with added masses and elastic supports. Based on the Bernoulli-Euler beam theory, extending the application of the modal perturbation method and establishment of a semi-analytical method for solving the vibration equation of the non-uniform beam with added masses and elastic supports based is able to be made. In the modal subspace of the uniform beam with the elastic supports, the variable coefficient differential equation that describes the dynamic behavior of the non-uniform beam is converted to nonlinear algebraic equations. Extending the application of the modal perturbation method is suitable for solving the vibration equation of the simply supported and continuous non-uniform beam with its arbitrary added masses and elastic supports. The examples, that are analyzed, demonstrate the high precision and fast convergence speed of the method. Further study of the timesaving method for the dynamic characteristics of symmetrical beam and the symmetry of mode shape should be developed. Eventually, the effects of elastic supports and added masses on dynamic characteristics of the three-span non-uniform beam bridge are reported.

Enzymatic Hydrolysis of Egg Yolk Protein in Continuous Packed Column Operation

  • Kang, Byung-Chul;Lee, Sang-Uk
    • 한국생물공학회:학술대회논문집
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    • 2003.10a
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    • pp.485-489
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    • 2003
  • Enzymatic hydrolysis of egg yolk Protein was carried out in continuous packed column reactor Five supports for enzyme immobilization were evaluated in this study. We investigated the optimum operation variables - pH, temperature, and flow rate in continuous reactor operation.

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Simple Method of Vibration Analysis of Three Span Continuous Reinforced Concrete Bridge with Elastic Intermediate Supports (탄성지지된 3경간 연속 철근 콘크리트교의 간편한 진동해석)

  • 김덕현;박제선;김성환;이정호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.349-356
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    • 1998
  • A method of calculating the natural frequency corresponding to the first mode of vibration of beams and tower structures, with irregular cross sections and with arbitrary boundary conditions was developed and reported by Kim, D. H. in 1974. In this paper, the result of application of this method to the three span continuous reinforced concrete bridge with elastic intermediate supports in presented. Such bridge represents either concrete or sandwich type three span bridge on polymeric supports for passive control or on actuators for active control. Any method may be used to obtain the deflection influence surfaces needed for this vibration analysis. Finite difference method is used for this purpose, In this paper. The influence of the modulus of the foundation and $D_{22}$, $D_{l2}$, $D_{66}$ stiffnesses on the natural frequency is thoroughly studied.d.

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An Experimental Study on Flexural Behavior of Continuous Prestressed Steel I-Girder with Section Increasement at Internal Supports (지점부 단면형고 확대를 도입한 연속 프리스트레스트 Steel I-Girder의 휨거동에 관한 실험적 연구)

  • Kim, Kyung-Min;Hong, Sung-Nam;Yang, Dong-Suk;Park, Sun-Kyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.10 no.6
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    • pp.143-153
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    • 2006
  • The paper presents the results of a study on improvement in flexure capacities of continuous prestressed steel I-girder with section increasement at internal supports. After tensioning, the field experiment on prestressed steel I-girder has been performed in the various aspects of prestressed I-girder introducing section increasement at internal supports, tendon profile.

A Study on the Vibrational Characteristics of the Continuous Circular Cylindrical Shell with the Multiple Supports Using the Experimental Modal Analysis (실험모드해석에 의한 다점지지된 연속원통셸의 진동특성에 관한 연구)

  • 한창환;이영신
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.4
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    • pp.43-51
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    • 2001
  • An experimental modal analysis is the process to identify structure's dynamic characteristics such as resonant frequencies, damping values and mode shapes. An experimental model was made of stainless steel in the shape of a circular cylindrical shell and installed on the test bed with jigs. For investigating vibrational characteristics of the continuous circular cylindrical shell with intermediate supports, modal testing is performed by using impact hammer, accelerometer and 8-channel FFT analyzer. The frequency response function(FRF) measurements are also made on the experimental model within the frequency range from 0 to 4kHz. Modal parameters are identified from resonant peaks in the FRF's and animated deformation patterns associated with each of the resonances are shown on a computer screen. The experimental results are compared with analytical and FEA results.

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Moment Distribution in continuous Slabs of Simply Supported Bridges (단순 PC 빔교의 연속 바닥슬래브에 발생하는 모멘트 분포)

  • 최창근;송명관
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.04a
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    • pp.398-405
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    • 1997
  • The finite element program is presented for the analysis of the moment distribution in continuous slabs of simply supported girders. The program includes the material nonlinearity of the continuous and steel reinforcements of the RC slabs, but assumes that the PC beam and cross beam behave linearly. In modeling the PC slabs and girders, the four node degenerated shell element formulated based on the assumed strain interpolation and the 3D beam element are used, respectively. Using the program, the influence of the existence of the cross bean, the filling of open joints on the continuous at supports, and perfect continuation of precast girder elements are examined.

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The Development of Improved Construction and Design Method on Continuous Preflex Girder Bridge (연속 프리플렉스 거더교의 개선된 시공법과 설계식의 개발)

  • Koo, Min Se;Park, Young Je;Kim, Hun Hee
    • Journal of Korean Society of Steel Construction
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    • v.17 no.2 s.75
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    • pp.183-194
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    • 2005
  • In the previous construction method of continuous preflex composite girder bridge, we raised the inner support, and cast slab concrete innegative moment section, then lowered it to introduce compressive force in the slab. There were a few problems in the process such as the time required in raising the support and the bending of the camber. Therefore, this paper represents an improved construction method of continuous preflex composite girder by only moving downward the inner and outer supports to figure out problems in previous construction method. This paper proposes a design formula to find a proper cross section of preflex girder.

Beam models for continuous pipelines passing through liquefiable regions

  • Adil Yigit
    • Geomechanics and Engineering
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    • v.37 no.2
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    • pp.189-195
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    • 2024
  • Buried pipelines can be classified as continuous and segmented pipelines. These infrastructures can be damaged either by ground movement or by seismic wave propagation during an earthquake. Permanent ground deformations (PGD) include surface faulting, liquefaction-induced lateral spreading and landslide. Liquefaction is a major problem for both superstructures and infrastructures. Buyukcekmece lake zone, which is the studied region in this paper, is a liquefaction prone area located near the North Anatolian Fault Line. It is an active fault line in Turkey and a major earthquake with a magnitude of around 7.5 is expected in this investigated region in Istanbul. It is planned to be constructed a new 12" steel natural gas pipeline from one side of the lake to the other side. In this study, this case has been examined in terms of two different support conditions. Firstly, it has been defined as a beam in liquefied soil and has built-in supports at both ends. In the other approach, this case has been modeled as a beam in liquefied soil and has vertical elastic pinned supports at both ends. These models have been examined and some solution proposals have been produced according to the obtained results. In this study, based on this sample, it is aimed to determine the behaviors of buried continuous pipelines subject to liquefaction effects in terms of buoyancy.