• Title/Summary/Keyword: Hyperbolic Analysis Method

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A novel refined shear deformation theory for the buckling analysis of thick isotropic plates

  • Fellah, M.;Draiche, Kada;Houar, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Saeed, Tareq;Alhodaly, Mohammed Sh.;Benguediab, Mohamed
    • Structural Engineering and Mechanics
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    • v.69 no.3
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    • pp.335-345
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    • 2019
  • In present study, a novel refined hyperbolic shear deformation theory is proposed for the buckling analysis of thick isotropic plates. The new displacement field is constructed with only two unknowns, as against three or more in other higher order shear deformation theories. However, the hyperbolic sine function is assigned according to the shearing stress distribution across the plate thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using any shear correction factors. The equations of motion associated with the present theory are obtained using the principle of virtual work. The analytical solution of the buckling of simply supported plates subjected to uniaxial and biaxial loading conditions was obtained using the Navier method. The critical buckling load results for thick isotropic square plates are compared with various available results in the literature given by other theories. From the present analysis, it can be concluded that the proposed theory is accurate and efficient in predicting the buckling response of isotropic plates.

Finite Element Method for the Analysis of Deep Excavation in Urban Environment (도심지 굴착에 따른 토류구조물 및 인접지반의 유한요소 해석기법)

  • Lee, Bong-Ryeol;Kim, Gwang-Jin;Kim, Hak-Mun
    • Geotechnical Engineering
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    • v.13 no.5
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    • pp.35-44
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    • 1997
  • A finite element computer program is developed for the specific analysis of earth retaining structures in urban excavation. Unlike the existing multi -purpose FEM programs, the newly developed program (EM) consists of very simple and easy data processing system for the urban excavation. A non-linear material model(GDHM, Generalized Decoupled Hyperbolic Models is deviloped and implemented in the program EM. The results of large scale model tests for earth retaining structures are used for the vertification of EM along whit GDHM, and the results were satisfactory, but it was found that the program EM needs minor modification for the improvement of its accuracy.

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Design and Analysis of Reinforced Concrete Hyperbolic Cooling (철근콘크리트 쌍곡냉각탑의 설계 및 해석)

  • 장현옥;민창식
    • Proceedings of the Korea Concrete Institute Conference
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    • 2000.04a
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    • pp.501-506
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    • 2000
  • An iterative numerical computational algorithm is presented to design a plate or shell element subjected to membrane and flexural forces. Based on equilibrium consideration, equations for capacities of top and bottom reinforcements in two orthogonal directions have been derived. The amount of reinforcement is determined locally, i.e., for each sampling point, from the equilibrium between applied and internal forces. Based on nonlinear analyses performed in a hyperbolic cooling tower, the analytically calculated ultimate load exceeded the design ultimate load from 50% to 55% for an analysis with relatively low to high tension stiffening, cases $\gamma$=10 and 15. For these cases, the design method gives a lower bound on the ultimate load with respect to Lower bound theorem, This shows the adequacy of th current practice at least for this cooling tower shell case studied. To generalize the conclusion more designs - analyses should be reformed with different shell configurations.

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Comparative Analysis of Final Consolidation Settlement by Degree of Consolidation in Soft Soils of Yeongam-Haenam Areas (영암-해남 연약지반의 압밀도 변화에 따른 최종침하량 비교분석)

  • Kim, Tae-Wan;Nam, Geon;Kim, Jae-Hong
    • Journal of the Korean Geotechnical Society
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    • v.39 no.9
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    • pp.25-33
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    • 2023
  • To effectively improve soft soils, it is necessary to perform ground behavior characteristics and stability management through measurement activities when embankment of structures on soft soils is conducted. However, there are many differences between the actual ground behavior and the initial design plan. To address this issue, this study analyzed the measured settlement in the Yeongam-Haenam areas using the Hyperbolic method to predict the settlement based on the measurement data. From the completion time of the embankment in the target area, the final settlement was predicted through the change in the degree of consolidation by the measurement period. Furthermore, the final settlement according to the change in degree of consolidation was compared and analyzed through finite element analysis and field measurement.

Evaluation of Structural Performance of Natural Draught Cooling Tower according to Shell Geometry using Wind Damage Analysis - Part I : One-shell Geometry (풍하중에 의한 손상해석을 이용한 기하형상에 따른 자연 습식 냉각탑의 구조성능 평가 - Part I : One-shell 기하형상)

  • Lee, Sang-Yun;Noh, Sam-Young
    • Journal of Korean Association for Spatial Structures
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    • v.16 no.3
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    • pp.67-78
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    • 2016
  • Determining of the shape in the process of design for natural draught cooling tower is very important, because the shape of hyperbolic shell is respond sensitively to dynamic behavior of the whole cooling tower against wind load. In engineering practice, the geometric parameters have been determining based on the natural frequency. This study analyses influence of the tower shell geometric parameters on the structural behavior. For three representative models were selected, they were analyzed based on evaluation of damage by means of nonlinear FE-method. As a result, a hyperbolic rotational shell with the small radius overall was the lowest damage index induced by sufficient capacity of the stress redistribution and thus a wind-insensitive structure.

Shear Load Transfer Characteristics of Drilled Shafts in Weathered Rocks (풍화암에 근입된 현장타설 말뚝의 하중 전이 특성)

  • Jeong, Sang-Seom;Cho, Sung-Han;Kim, Soo-Il
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03a
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    • pp.85-106
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    • 2000
  • The load distribution and deformation of drilled shafts subjected to axial loads were evaluated by a load transfer approach. The emphasis was on quantifying the load transfer mechanism at the interface between the shafts and surrounding highly weathered rocks based on a numerical analysis and small-scale tension load tests performed on nine instrumented piles. An analytical method that takes into account the soil coupling effect was developed using a modified Mindlin's point load solution. Based on the analysis, a single-modified hyperbolic model is proposed for the shear transfer function of drilled shafts in highly weathered rocks. Through comparisons with field case studies, it is found that the prediction by the present approach is in good agreement with the general trend observed by in-situ measurements.

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Numerical Analysis of Soil Nail System (소일네일링 구조물의 수치해석)

  • Yu, Nam-Jae;Kim, Young-Gil;Park, Byung-Soo;Lee, Jong-Ho
    • Journal of Industrial Technology
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    • v.19
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    • pp.115-125
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    • 1999
  • Current design and analyzing methods about soil nailing structures, developed on the basis of results obtained from experiments in laboratory or in field and numerical analyses, have applied different interaction mechanisms between the reinforced nails and the surrounding ground, and this different safety factors against failure have been obtained. They might be proper approached if the assumptions about rigidity of nails and ground conditions are met with actual conditions occurred in field. Otherwise, they would result in designing on analyzing in inappropriate ways so that it is needed to evaluate the validity of them. Therefore, overall behavior and failure mechanism about soil nailing system were investigated by performing numerical method. Using a finite element analysis, parametric studies were made to examine the importance of the various parameters and their effects on the soil nailing system. The numerical technique of FEM, implemented with Hyperbolic constitutive model, was also used to analyze the test results.

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Vibration analysis of FGM beam: Effect of the micromechanical models

  • Hadji, Lazreg
    • Coupled systems mechanics
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    • v.9 no.3
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    • pp.265-280
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    • 2020
  • In this paper, a new refined hyperbolic shear deformation beam theory for the free vibration analysis of functionally graded beam is presented. The theory accounts for hyperbolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the functionally graded beam without using shear correction factors. In addition, the effect of different micromechanical models on the free vibration response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams whose properties vary continuously across the thickness according to a simple power law. Based on the present theory, the equations of motion are derived from the Hamilton's principle. Navier type solution method was used to obtain frequencies, and the numerical results are compared with those available in the literature. A detailed parametric study is presented to show the effect of different micromechanical models on the free vibration response of a simply supported FG beams.

Elasto-plastic thermal stress analysis of functionally graded hyperbolic discs

  • Demir, Ersin;Callioglu, Hasan;Sayer, Metin
    • Structural Engineering and Mechanics
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    • v.62 no.5
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    • pp.587-593
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    • 2017
  • The objective of this analytical study is to calculate the elasto-plastic stresses of Functionally Graded (FG) hyperbolic disc subjected to uniform temperature. The material properties (elastic modulus, thermal expansion coefficient and yield strength) and the geometry (thickness) of the disc are assumed to vary radially with a power law function, but Poisson's ratio does not vary. FG disc material is assumed to be non-work hardening. Radial and tangential stresses are obtained for various thickness profile, temperature and material properties. The results indicate that thickness profile and volume fractions of constituent materials play very important role on the thermal stresses of the FG hyperbolic discs. It is seen that thermal stresses in a disc with variable thickness are lower than those with constant thickness at the same temperature. As a result of this, variations in the thickness profile increase the operation temperature. Moreover, thickness variation in the discs provides a significant weight reduction. A disc with lower rigidity at the inner surface according to the outer surface should be selected to obtain almost homogenous stress distribution and to increase resistance to temperature. So, discs, which have more rigid region at the outer surface, are more useful in terms of resistance to temperature.

Evaluations of load-deformation behavior of soil nail using hyperbolic pullout model

  • Zhang, Cheng-Cheng;Xu, Qiang;Zhu, Hong-Hu;Shi, Bin;Yin, Jian-Hua
    • Geomechanics and Engineering
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    • v.6 no.3
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    • pp.277-292
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    • 2014
  • Soil nailing, as an effective stabilizing method for slopes and excavations, has been widely used worldwide. However, the interaction mechanism of a soil nail and the surrounding soil and its influential factors are not well understood. A pullout model using a hyperbolic shear stress-shear strain relationship is proposed to describe the load-deformation behavior of a cement grouted soil nail. Numerical analysis has been conducted to solve the governing equation and the distribution of tensile force along the nail length is investigated through a parametric study. The simulation results are highly consistent with laboratory soil nail pullout test results in the literature, indicating that the proposed model is efficient and accurate. Furthermore, the effects of key parameters, including normal stress, degree of saturation of soil, and surface roughness of soil nail, on the model parameters are studied in detail.