An Evaluation of the Stability of Natural Slopes in Plastic Champlain Clays

1974 ◽  
Vol 11 (1) ◽  
pp. 165-181 ◽  
Author(s):  
K. Y. Lo ◽  
C. F. Lee
Keyword(s):  
Finite Element Method ◽  
Stability Analysis ◽  
Strength Characteristics ◽  
Stress Range ◽  
Natural Slope ◽  
Softening Behavior ◽  
State Of Stress ◽  
The Stability ◽  
Nonlinear Nature ◽  
Natural Slopes

A method of stability analysis was developed to accommodate the distinctly nonlinear nature of the strength envelopes for Champlain Sea clays in the low stress range appropriate to stability problems. Using this method an evaluation of natural slope failures in Champlain Sea clays was carried out based on strength characteristics determined with block samples from the sites of recent slides in Quebec. In view of some similarities in geotechnical properties and shear behavior, the strength characteristics so determined were also used to examine some of the recent slides in the Ottawa area. The results of stability analysis for eleven slides indicate that the field strength generally approaches the post-peak condition.To verify this condition, the state of stress of two slopes before sliding was determined by a finite element method accounting for work-softening behavior. The results of analysis show that the post-peak factor is very close to unity in the Quebec sites. The same observation may be applied to the slides in the Ottawa areas, provided that the post-peak strengths of the clays in these areas are verified.

CRITICAL LOADS OF SQUARE PLATES UNDER DIFFERENT INPLANE LOAD CONFIGURATIONS ON OPPOSITE EDGES

2001 ◽  
Vol 01 (02) ◽  
pp. 283-291 ◽  
Author(s):  
S. G. LEE ◽  
S. C. KIM ◽  
J. G. SONG
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Critical Load ◽  
Critical Loads ◽  
Patch Load ◽  
Fixity Factor ◽  
The Stability ◽  
Opposite Tendency ◽  
Width Factor

The elastic critical load coefficients of square plates, under different inplane load configurations on opposite plate edges, are determined and the results compared. The stability analysis was performed by a finite element method that was developed by the authors. The parameters considered in the analysis are the Kinney's fixity factor, and the width factor of the patch load. It was found that the coefficients of the critical loads increase with increasing values of fixity and width factors. The opposite tendency is that a plate under a patch loaded towards the two corners of an edge is more stable than a plate loaded concentrically at the center of the edge.

RESEARCH OF THE STABILITY ANALYSIS FOR FRAME BUILDINGS USING FINITE ELEMENT METHOD

2019 ◽  
Vol 7 (1) ◽  
pp. 45-48
Author(s):  
Галина Кравченко ◽  
Galina Kravchenko ◽  
Елена Труфанова ◽  
Elena Trufanova ◽  
Анастасия Бойко ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Design Method ◽  
Progressive Collapse ◽  
Structural Member ◽  
Mode Shapes ◽  
Frame Buildings ◽  
The Stability ◽  
Element Method

In this article, general stability analysis is considered, in order to obtain the load-bearing capacity of the multy-storey building using finite element method. There are some graphical interpretations for FE results that illustrate safety factor for each structural member of the structure and different mode shapes with their corresponding frequencies. These results can be used to improve the structural member design method in case of progressive collapse possibility. The article provides recommendations for strengthening and design of structural member.

scholarly journals Stability Analysis of Symmetrical Rotor-Bearing Systems With Internal Damping Using Finite Element Method

1996 ◽  
Author(s):  
L. Forrai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Complex Form ◽  
Internal Damping ◽  
Bending Vibrations ◽  
Rotor Bearing ◽  
The Matrix ◽  
The Stability ◽  
Element Method

This paper deals with the stability analysis of self-excited bending vibrations of linear symmetrical rotor-bearing systems caused by internal damping using the finite element method. The rotor system consists of uniform circular Rayleigh shafts with internal viscous damping, symmetrical rigid disks, and discrete undamped isotropic bearings. By combining the sensitivity method and the matrix representation of the rotor dynamic equations in complex form to assess stability, it is proved theoretically that the stability threshold speed and the corresponding whirling speed coincide with the first forward critical speed regardless of the magnitude of the internal damping.

scholarly journals INVESTIGATION OF THIN-WALLED COLUMN WITH VARIABLE I-SECTION STABILITY USING FINITE ELEMENT METHOD/PLONASIENĖS KINTAMOJO DVITĖJO SKERSPJŪVIO KOLONOS STABILUMO TYRIMAS BAIGTINIŲ ELEMENTŲ METODU

2000 ◽  
Vol 6 (2) ◽  
pp. 69-75
Author(s):  
Michail Samofalov ◽  
Rimantas Kačianauskas
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Numerical Experiments ◽  
Relative Length ◽  
Bending Moment ◽  
Relative Height ◽  
Thin Walled Structures ◽  
Thin Walled ◽  
The Stability

Thin-walled structures are widely used in building construction. Stability analysis [1–10] is of major importance to the design of thin-walled structures. This paper deals with the stability analysis of the thin-walled tapered column [11–18]. The aim is to investigate the influence of variation of the web height on the stability of column and combined action of axial force and plane bending moment. Critical state is defined by stability surface obtained by numerical experiments using the finite element method. Mathematical model of the linearised stability problem is presented as algebraic eigenvalue problem (1), where eigenvalues express the critical loading factor (2). Analytical solutions are known for particular cases of separate loading (4), (5). In this paper, the column with variable I-section is presented as assemblage of beam elements with constant section. Thin-walled beam element has 14 degrees of freedom (Fig 1), including linear displacements, rotations and warping displacements. Variation of cross-section of the column (Fig 2) is defined by relative height of web alb, were a and b are the height at the ends of column. Critical state is described by stability surface obtained using numerical experiments. Stability surface presents in the space of relative variation of height a/b, relative length and relative critical force and bending moment . Variation of section influences the critical bending moment only. The influence of finite element number on the with different relative height of web a/b is investigated numerically (Fig 3), and its variation of stability surface is presented in Fig 4. The numerical results show that variation of critical moment to relative web height a/b is linear (Fig 5). The shapes of buckling modes are presented in Fig 6. Variation of stability surface to relative length (6) is presented in Figs 7 and 8 and expressed by the simple expression (6) constructed on the basis of numerical experiments. Finally, the stability model (1) is compared with nonlinear calculations performed using program ANSYS [19] and shell finite elements (Figs 9 and 10).

A decoupled finite element method with diferent time steps for the nonstationary Darcy–Brinkman problem

2020 ◽  
Vol 28 (1) ◽  
pp. 33-62 ◽  
Author(s):  
Cheng Liao ◽  
Pengzhan Huang ◽  
Yinnian He
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Error Estimates ◽  
Computational Time ◽  
Coupled Method ◽  
Numerical Tests ◽  
The Stability ◽  
Element Method

AbstractA decoupled finite element method with different time steps for the nonstationary Darcy--Brinkman problem is considered in this paper. Moreover, for the presented method, the stability analysis and error estimates are deduced. Finally, numerical tests are provided that demonstrate the efficiency of the method. It is found the presented method can save lots of computational time compared with standard coupled method.

Out-of-Plane Stability Analysis of Combined Boom System with Main Jib and Fly Jib

2014 ◽  
Vol 685 ◽  
pp. 217-223
Author(s):  
Peng Lan ◽  
Teng Fei Wang ◽  
Nian Li Lu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stability Analysis ◽  
Bearing Capacity ◽  
The Finite Element Method ◽  
Torsional Deformation ◽  
Out Of Plane ◽  
Dip Angle ◽  
The Stability ◽  
Deformation Compatibility

The objective of this study is to develop an analytical method for the out-of-plane stability of combined boom system with main jib and fly jib. Boundary conditions and deformation compatibility equations are introduced to get the analytical expression of out-of-plane buckling characteristic equation by establishing the bending and torsional deformation differential equations of jibs and the strut under the instability critical state. The analytical results obtained agree well with the finite element method (FEM) results. The influence of the dip angle between the main jib and the fly jib on the stability of the boom system is discussed. And the comparison between the combined boom system and the bending beam-column in the stable bearing capacity is made. It is shown that the upwards-bend boom system is much stronger than the downwards-bend boom system. There exists a certain dip angel between the main jib and the fly jib that makes the stable bearing capacity biggest. By comparing the stable bearing capacity of boom system with that of the bending beam-column, it is obtained that the flexible tension system will significantly improve the stable bearing capacity of the bending beam-column.

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