• Title/Summary/Keyword: Analytical and numerical method

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Micro-finite element and analytical investigations of seismic dampers with steel ring plates

  • Rousta, Ali Mohammad;Azandariani, Mojtaba Gorji
    • Steel and Composite Structures
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    • v.43 no.5
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    • pp.565-579
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    • 2022
  • This study investigated the yielding capacity and performance of seismic dampers constructed with steel ring plates using numerical and analytical approaches. This study aims to provide an analytical relationship for estimating the yielding capacity and initial stiffness of steel ring dampers. Using plastic analysis and considering the mechanism of plastic hinge formation, a relation has been obtained for estimating the yielding capacity of steel ring dampers. Extensive parametric studies have been carried out using a nonlinear finite element method to examine the accuracy of the obtained analytical relationships. The parametric studies include investigating the influence of the length, thickness, and diameter of the ring of steel ring dampers. To this end, comprehensive verification studies are performed by comparing the numerical predictions with several reported experimental results to demonstrate the numerical method's reliability and accuracy. Comparison is made between the hysteresis curves, and failure modes predicted numerically or obtained/observed experimentally. Good agreement is observed between the numerical simulations and the analytical predictions for the yielding force and initial stiffness. The difference between the numerical models' ultimate tensile and compressive capacities was observed that average of about 22%, which stems from the performance of the ring-dampers in the tensile and compression zones. The results show that the steel ring-dampers are exhibited high energy dissipation capacity and ductility. The ductility parameters for steel ring-damper between values were 7.5 to 4.1.

Design and Characteristic Analysis of LSM for High Speed Train System using Magnetic Equivalent Circuit

  • Ham, Sang-Hwan;Cho, Su-Yeon;Kang, Dong-Woo;Lee, Hyung-Woo;Chan, Hong-Soon;Lee, Ju
    • International Journal of Railway
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    • v.3 no.1
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    • pp.14-18
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    • 2010
  • This paper describes design and characteristic analysis of long primary type linear synchronous motor (LSM) for high speed train system. LSM is designed using loading distribution method and magnetic equivalent circuit. For characteristic analysis of LSM, analytical and numerical methods are applied. Analytical method for solving the magnetic field distribution of the analytic model is based on the Maxwell’s equations. Using the characteristic equation and magnetic equivalent circuit, we analyze the effect of variation of parameters, and then we validate the result by comparing with numerical method by finite element method (FEM). We compare the analytical method with numerical method for analyzing the effect by variable parameters. This result will be useful of design and forecast of performance without FEM.

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DESIGN SENSITIVITY ANALYSIS FOR MULTIBODY SYSTEMS (다물체 시스템의 민감도 해석)

  • Lee, Jong-Nyun;Park, Soo-Hong
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.378-382
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    • 1996
  • This paper presents a 'mixed' method for performing the sensitivity analysis for multibody dynamics. The mixed method uses both the analytical derivation and the numerical evaluation, in which premitive derivations rely on the analytical process and their associated individual terms are evaluated by the numerical precess. Therefore, this method can eliminate difficulty in dervation of the direct differentiation. Furthermore, by using the joint coordinate formulation for the equations of motion, compulational efficiencyand numerical accuracy are achieved.

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Analysis of Peripheral Surface Settlement during Subway Excavation (지하철 굴착공사에 따른 인접지반의 침하 해석)

  • 문준석;권강오;김홍석;장연수
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.621-628
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    • 2000
  • In this study, the influence of groundwater variation and surface settlement adjacent to the excavation site of subway station on $\bigcirc$$\bigcirc$ Gas station and the $\bigcirc$$\bigcirc$ building is analized. Measurement data of surface settlement, horizontal deformation and groundwater level are used to verify the results of Caspe analytical method and FLAC numerical analysis. Variation of groundwater level adjacent to the excavation site is modelled by the 3-D groundwater flow program, MODFLOW. The results of both the analytical method and the numerical method were quite close to the measurement data of surface settlement.

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A Intercomparison on the estimating shield TBM tunnel face pressure through analytical and numerical analysis (이론해와 수치해석적 검토를 통한 쉴드TBM 막장압 산정 결과 상호비교)

  • Jun, Gy-Chan;Kim, Dong-Hyun
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.18 no.3
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    • pp.273-282
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    • 2016
  • This study estimates tunnel face pressure through existing 8 analytical equations and 3D numerical analysis, and compares and examines it. In general, the estimating tunnel face pressure of domestic shield TBM has been examined by a method according to analytical equation and empirical method, but numerical analysis is combined in a section passing complicated stratigraphic condition and special soil condition. Therefore, the researcher is to find a reliable method to examine of tunnel face pressure by confirming a correlation between tunnel face pressure estimated by equation and tunnel face pressure estimated by numerical analysis program. When tunnel face pressure is estimated, both analytical equation and numerical analysis were identically examined in soil conditions such as sandy soil and cohesive soil. In addition, existing analytical equation is used as equation, and 3D analysis copying construction process and shield tunnel as numerical analysis.

Numerical analysis of RC hammer head pier cap beams extended and reinforced with CFRP plates

  • Tan, Cheng;Xu, Jia;Aboutaha, Riyad S.
    • Computers and Concrete
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    • v.25 no.5
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    • pp.461-470
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    • 2020
  • This paper presents a numerical study on structural behavior of hammer head pier cap beams, extended on verges and reinforced with carbon fiber reinforced polymer (CFRP) plates. A 3-D finite element (FE) model along with a simplified analytical model are presented. Concrete damage plasticity (CDP) was adapted in the FE model and an analytical approach predicting the CFRP anchor strength was adapted in both FE and analytical model. Total five quarter-scaled pier cap beams with various CFRP reinforcing schemes were experimentally tested and analyzed with numerical approaches. Comparison between experimental results, FE results, analytical results and current ACI guideline predictions was presented. The FE results showed good agreement with experimental results in terms of failure mode, ultimate capacity, load-displacement response and strain distribution. In addition, the proposed strut-and-tie based analytical model provides the most accurate prediction of ultimate strength of extended cap beams among the three numerical approaches.

The Forecd Vibration Analysis using Transfer Matrix(I) : Immersed Infinite Circular Cylindrical Shell (전달 행렬을 이용한 진동 및 방사소음 해석 (I) : 무한 원통형 몰수체)

  • 정우진;신구균;전재진;이헌곤
    • Journal of KSNVE
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    • v.4 no.4
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    • pp.443-449
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    • 1994
  • In the analysis of circular cylindrical shell's vibration and sound radiation, there are numerical and analytical methods. Numerical methods such as F.E.M and B.E.M, have the limit of frequency range. Analytical method can be applied to the circular cylindrical shell from low frequency to high frequency. In this paper, we use the analytical method for shell, and numerical method, F.D.M, for fluid. We also use the method using transfer matrix and eigenanalysis of transfer matrix which can therefore calculate the rotational d.o.f that is very imkportant in synthesis with inner structure. Inner structure has much effect on the submerged circular cylindrical shell vibration and sound rediation. Results for the immersed circular cylindrical shell vibration and sound radiation are compared with the analytic solutions.

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Simulate of edge and an internal crack problem and estimation of stress intensity factor through finite element method

  • Yaylaci, Murat
    • Advances in nano research
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    • v.12 no.4
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    • pp.405-414
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    • 2022
  • In this study, the elastic plane problem of a layered composite containing an internal or edge crack perpendicular to its boundaries in its lower layer is examined using numerical analysis. The layered composite consists of two elastic layers having different elastic constants and heights. Two bonded layers rest on a homogeneous elastic half plane and are pressed by a rigid cylindrical stamp. In this context, the Finite Element Method (FEM) based software called ANSYS is used for numerical solutions. The problem is solved under the assumptions that the contacts are frictionless, and the effect of gravity force is neglected. A comparison is made with analytical results in the literature to verify the model created and the results obtained. It was found that the results obtained from analytical formulation were in perfect agreements with the FEM study. The numerical results for the stress-intensity factor (SIF) are obtained for various dimensionless quantities related to the geometric and material parameters. Consequently, the effects of these parameters on the stress-intensity factor are discussed. If the FEM analysis is used correctly, it can be an efficient alternative method to the analytical solutions that need time.

Energy based approach for solving conservative nonlinear systems

  • Bayat, M.;Pakar, I.;Cao, M.S.
    • Earthquakes and Structures
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    • v.13 no.2
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    • pp.131-136
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    • 2017
  • This paper concerns two new analytical approaches for solving high nonlinear vibration equations. Energy Balance method and Hamiltonian Approach are presented and successfully applied for nonlinear vibration equations. In these approaches, there is no need to use small parameters to solve and only with one iteration, high accurate results are reached. Numerical procedures are also presented to compare the results of analytical and numerical ones. It has been established that, the proposed approaches are in good agreement with numerical solutions.

Finite Element Analysis Using an Analytical Solution (해석해를 이용한 유한 요소 해석법)

  • Huh, Young-Woo;Lim, Jang-Keun
    • Proceedings of the KSME Conference
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    • 2000.11a
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    • pp.458-463
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    • 2000
  • The mechanical structures generally have discontinuous parts such as the cracks, notches and holes owing to various reasons. In this paper, in order to analyze effectively these singularity problems using the finite element method, a mixed analysis method which an analytical solution and finite element solutions are simultaneously used is newly proposed. As the analytical solution is used in the singularity region and the finite element solutions are used in the remaining regions except this singular zone, this analysis method reasonably provides for the numerical solution of a singularity problem. Through various numerical examples, it is shown that the proposed analysis method is very convenient and gives comparatively accurate solution.

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