Discussion on the Geometric Methods to Calculating the Fault Complexity Coefficient

2012 ◽  
Vol 594-597 ◽  
pp. 175-179
Author(s):  
Jian Guo Wang
Keyword(s):  
Rock Mass ◽  
Geometric Model ◽  
Geometric Analysis ◽  
Strike Slip ◽  
Area Ratio ◽  
Geometric Methods ◽  
Fault Complexity ◽  
Inclined Fault ◽  
Extension Length ◽  
Complexity Coefficient

Lots of faults exist in rock mass. Acconding on the course of quantitative analysis of fault complexity in mine and modern civil engineering at present, single fault complexity coefficient represents various geologic facts, and its value is less than the fact. Based on the evaluation of sheer incline area ratio and strike-slip fault area ratio about former research, measure fault complexity take an inclined fault interval multiply by the sum of extension length and ratio of numerical statement area. By geometric analysis of geological objects, this paper put forward geometric model which represents geological facts in truth. The results show that expression educed from the model has no multiplicity, is transpicuous and convenient for popularizing.

Nonlinear Numerical Analysis of Transfer Column in SRC-RC Hybrid Structure

2014 ◽  
Vol 578-579 ◽  
pp. 936-939 ◽  
Author(s):  
Qian Qian Sun ◽  
Yun Zou ◽  
Qiang Wang
Keyword(s):  
Numerical Analysis ◽  
Axial Load ◽  
Load Ratio ◽  
Hybrid Structure ◽  
Area Ratio ◽  
Experimental Result ◽  
Finite Element Software ◽  
Axial Load Ratio ◽  
Hysteretic Performance ◽  
Extension Length

Nonlinear numerical analysis of the stress performance of SRC-RC transfer columns was carried out in this paper with the finite element software of ABAQUS. Compered with the experimental result , numerical analysis result are found to be reasonable.Then the influence of factors such as extension length of shape steel , area ratio of shape steel and axial-load ratio were contrastively analyzed . The results show that extension length of shape steel and the area ratio of shape steel have a greater influence on the bearing capacity and the hysteretic performance of transfer column ,but axial-load ratio has less influence .

scholarly journals Dark Gravitational Field on Riemannian and Sasaki Spacetime

Universe ◽  
2020 ◽  
Vol 6 (9) ◽  
pp. 138
Author(s):  
Panayiotis Stavrinos ◽  
Christos Savvopoulos
Keyword(s):  
Dark Matter ◽  
Gravitational Field ◽  
Tangent Bundle ◽  
Degrees Of Freedom ◽  
Geometrical Structure ◽  
Geometric Model ◽  
Geodesic Motion ◽  
Tidal Forces ◽  
Geometric Methods ◽  
Raychaudhuri Equations

The aim of this paper is to provide the geometrical structure of a gravitational field that includes the addition of dark matter in the framework of a Riemannian and a Riemann–Sasaki spacetime. By means of the classical Riemannian geometric methods we arrive at modified geodesic equations, tidal forces, and Einstein and Raychaudhuri equations to account for extra dark gravity. We further examine an application of this approach in cosmology. Moreover, a possible extension of this model on the tangent bundle is studied in order to examine the behavior of dark matter in a unified geometric model of gravity with more degrees of freedom. Particular emphasis shall be laid on the problem of the geodesic motion under the influence of dark matter.

Shell form in the biconvex articulate Brachiopoda: a geometric analysis

Paleobiology ◽  
1980 ◽  
Vol 6 (1) ◽  
pp. 57-76 ◽  
Author(s):  
George R. McGhee
Keyword(s):  
Geometric Model ◽  
Geometric Analysis ◽  
Small Region ◽  
Shell Morphology ◽  
Shell Surface ◽  
Absolute Size ◽  
Shell Form ◽  
Geometric Space ◽  
Biological Optimization ◽  
Area And Volume

Using a geometric model of shell morphology, it is demonstrated that biconvex brachiopods occupy only a small region of the potential geometric space available to organisms with planispiral exoskeletons composed of two articulated valves. Measurements taken for a sample of 324 genera of the articulate orders Pentamerida, Rhynchonellida, Spiriferida, and Terebratulida were analyzed using a simple geometric model of shell form and ontogeny. The frequency distribution of brachiopod shell morphologies exhibited by the four orders represents the biological optimization of the spatial relationships between area and volume. Biconvex brachiopods develop shells which are designed to minimize shell surface area while maximizing internal shell volume. The means by which optimization is achieved is related directly to the effects of increase in absolute size during ontogeny. The boundaries upon shell geometries utilizable by biconvex brachiopods are determined by (1) limitations of articulation, and (2) limitations of surface and volume.

RESEARCH OF THE FORMS OF MOTION TRAJECTORIES OF THE WORKING TOOL OF TOROIDAL PLANETARY EXECUTIVE UNITS OF MINING MACHINES

2021 ◽  
pp. 19-24
Author(s):  
Denys Dovhal ◽  
Keyword(s):  
Mathematical Model ◽  
Rock Mass ◽  
Geometric Modeling ◽  
Tool Path ◽  
Geometric Analysis ◽  
Practical Significance ◽  
Operating Parameters ◽  
Motion Trajectories ◽  
Characteristic Features ◽  
Executive Body

Purpose. The purpose of this work is to determine and geometric analysis of possible forms of trajectories of the working tool, depending on the design and operating parameters of the torus planetary executive bodies of mining machines in the destruction of rock mass or minerals. Methods. Studies are based on the provisions of analytical and differential geometry, geometric modeling of objects, processes and phenomena, the theory of destruction of rocks and coal, as well as the theory of planetary executive bodies of mining machines. Results. On the basis of the mathematical model of the working process of the torus planetary executive body, the main forms of the trajectory of the spatial motion of a single working tool are considered, their geometric analysis is carried out. The characteristic features of the change in the shape of the trajectories are revealed when the values of the design and operating parameters of the executive body are varied, and their frequency is determined. Scientific novelty. For the first time, in the general case, a mathematical model of the process of movement of a single tool of a torus planetary executive body was analyzed in order to identify all possible characteristic forms of trajectories and, as a result, face surfaces, which constitute the basis for further research and optimization of the kinematic and dynamic characteristics of the process of destruction of a rock mass by executive bodies of mining machines. of the specified type. Practical significance. Scientifically substantiated data on the influence of the values ​​of the design and operating parameters on the parameters of the tool path, the degree of surface treatment of the face and the conditions for the transition of the torus executive body to other design cases of the planetary executive body have been obtained. All this in the future will make it possible to determine rational relationships between the design and operating parameters of the torus executive body, which will provide an effective “grid” of cutting, which will minimize the energy indicators of the destruction process and improve the fractional composition of the separated rock mass.

Growth and Mechanics of Brittle Fault Systems in Rock Mass: An Example of Baihetan Hydropower Dam Area

2014 ◽  
Vol 580-583 ◽  
pp. 883-886
Author(s):  
Wan Qiang Cheng ◽  
Sheng Jie Di ◽  
Xue Yong Xu ◽  
Gang Song
Keyword(s):  
Rock Mass ◽  
Growth Model ◽  
Growth Mechanism ◽  
First Generation ◽  
Strike Slip ◽  
Southwestern China ◽  
Brittle Deformation ◽  
Fault Systems ◽  
Tectonic Events ◽  
Two Generations

Architectures of fault systems play important role in stability and mechanics of rock mass. While growth mechanism of faults is intrinsic controler for architectures of fault systems. This paper presents a case on faulting in the dam area of an oversized hydropower in Southwestern China. The faults in this area are mostly strike-slip faults with shallow brittle deformation characters, extending tens to hundreds of meters. These faults can be divided into four groups which are formed during two generations corresponds to two periods of tectonic events. Growth model of these faults have been built based on geologic and mechanic data. The first generation of faults was formed based on preexisting joints. While the secondary generation emerge only if the existing faults become critically misaligned during rotation of the primary stresses. The criterion laws for formation of secondary faults are suggested. According to the growth model, we can predict placement of secondary faults in space. Conversely, when geometry and space characters of the fault systems are known, we can estimate mechanic parameters and tectonic environments of the rock mass.

Geometric Analysis of the Proximal Medullary Cavity of the Femur in the German Shepherd Dog

1998 ◽  
Vol 11 (01) ◽  
pp. 29-36 ◽  
Author(s):  
J. A. Helsen ◽  
M. Mulier ◽  
D. Mattheeuws ◽  
S. V. N. Jaecques
Keyword(s):  
Body Mass ◽  
Hip Prosthesis ◽  
Geometric Model ◽  
Geometric Analysis ◽  
Helix Angle ◽  
Medullary Cavity ◽  
Geometric Parameters ◽  
German Shepherd ◽  
Human Femur ◽  
Press Fit

SummaryForty-one cadaver femora of German Shepherd dogs were prepared for implantation of a cementless total hip prosthesis by reaming of the proximal medullary cavity with standard orthopaedic instruments. Silicone paste imprints of the cavity were taken and measured with a 3 D laser reflection system. Data were processed statistically according to a geometric model with these parameters: distal diameter Ø dist , medio-frontal radius r, laterofrontal angle α, medio-frontal angle β, helix angle γ and increment eccentricity δ e . Correlations between body mass and Ø disv body mass and r, body mass and β were moderately significant (p <0.05, p <0.06, p <0.05 resp.). Other correlations between body mass and parameters were not significant. Simple weighing of a German Shepherd is not a useful predictor of the internal dimensions of the proximal femur.The distribution of the most important parameter Ø dist was compared with the range of Ø dist sizes of the iso-elastic veterinary hip prosthesis (IVHP). This comparison showed that the test sample of 41 bones could be fitted with four IVHP sizes. However, 25 femora out of 41 do not fit into the available r values of the IVHP assortment. Less than adequate proximal canal fill will be the result if an IVHP is implanted, unless substantial reaming is done proximomedially.It was shown that measurements on radiographs of intact dog cadaver femora do not yield equivalent results to the imprints. Moreover, comparison of the internal dimensions of the medullary cavity of the human femur showed that a press-fit human prosthesis cannot be geometrically proportional to the IVHP.Dimensions of reamed cavities of forty-one cadaver femora of German Shepherd dogs were measured with a system of silicone imprinting and 3D laser reflectometry. Data were processed statistically according to a geometric model with seven parameters. Correlations between parameters and body mass were moderately significant for three parameters and not significant for the others. Distributions of the geometric parameters were calculated and implications with respect to prosthesis design are discussed. A comparison with geometric parameters obtained from radiographs was made and the significance of the differences is discussed. Finally, a comparison with the geometric parameters of the medullary cavity of the human femur is made.

Topology of Spade Drills for Wood Drilling Operations Part 2: Spade Drill Point Cutting Geometry Analysis

2005 ◽  
Vol 127 (2) ◽  
pp. 310-318
Author(s):  
Hanxin Zhao ◽  
Kornel F. Ehmann
Keyword(s):  
Software Package ◽  
Geometric Model ◽  
Geometric Analysis ◽  
Analysis Procedure ◽  
Angle Distribution ◽  
Cutting Geometry ◽  
Drilling Operations ◽  
Drill Point ◽  
Geometric Elements ◽  
Geometry Analysis

Based on the spade drill point’s mathematical models established in Part 1 of this paper, a detailed methodology for the analysis of the cutting edges and angle distributions along these edges is given. The analysis addresses the most important geometric elements of the bit including the tip, major cutting edge, and the chisel edge profiles, as well as the rake and clearance angle distribution along these cutting edges. In unison, the geometric model of the spade bit and the analysis procedure described in this part of the paper have laid the foundation for a methodology and a software package for a detailed geometric analysis of all relevant cutting mechanics related geometric entities of the drill. This, in turn, constitutes the first prerequisite for assessing the cutting performance of these tools.

Geometric Modeling of the Nasal Valve

2017 ◽  
Vol 33 (04) ◽  
pp. 444-450 ◽  
Author(s):  
Wasnard Victor ◽  
Matthew Sclafani ◽  
Anthony Sclafani
Keyword(s):  
Geometric Modeling ◽  
Geometric Model ◽  
Geometric Analysis ◽  
Lateral Wall ◽  
Nasal Valve ◽  
Total Change ◽  
Cross Sectional ◽  
Cantilevered Beam ◽  
Nasal Function ◽  
Length Reduction

AbstractWe have used a simple geometric model to examine forces affecting the nasal valve after dorsal reduction and spreader graft placement. The study was designed on the geometric modeling of the internal nasal valve (INV). Published measurements of the leptorrhine nose were used to construct a geometric model of the INV. The changes in the cross-sectional area (CSA) occurring after reduction rhinoplasty were calculated algebraically, as was the effect of these changes on the tendency of the lateral wall of the INV to collapse. The effect of spreader grafting on the CSA was determined, and the total change in CSA of the INV in various scenarios was determined and compared with the reported normal CSA. Relative to published norms, the gain in CSA from spreader grafting can be significant if thick grafts are used. When the lateral wall of the INV is conceptualized as a cantilevered beam fixed medially, the reduction of length reduction of the lateral segment of the INV can significantly reduce the tendency for the inward collapse of the lateral wall. The reduction in CSA of the INV associated with dorsal nasal reduction can be ameliorated through the placement of spreader grafts. Moreover, the reduction in length of the INV sidewall also limits inward collapse, assuming it is firmly reattached to the dorsal septum. An enhanced appreciation of the physical properties of the INV anticipated through a simplified geometric analysis will be invaluable to the rhinological surgeon interested in enhancing nasal function.

A New Geometric Model for Three-Dimensional Braided Composites

2014 ◽  
Vol 662 ◽  
pp. 15-19 ◽  
Author(s):  
Chen Bing Ni ◽  
Gao Feng Wei
Keyword(s):  
Cross Section ◽  
Geometric Model ◽  
Geometric Analysis ◽  
Three Dimensional ◽  
Structural Features ◽  
Unit Cell ◽  
Braided Composites ◽  
Unit Cells ◽  
Analysis Models ◽  
Surface Unit Cell

According to the structural features of 3-D braided composites, the whole structure is divided into three types of sub-unit cells, these are the interior unit cell, the surface unit cell and the corner unit cell. Considering the bending of fiber bundle and the deformation of cross-section which are caused by the space fiber extrusion and twist together, the corresponding geometric analysis models for every type of sub-unit cell are established, and the engineering elastic constants of the 3-D braided composites are predicted. The results show that the calculated results well agree with the experimental results, and the effectiveness of the model is verified.

Geodynamic zoning of the southwestern part of the Talnakh Orogenic System

2022 ◽  
pp. 103-109
Author(s):  
L.K. Miroshnikova ◽  
A.Yu. Mezentsev ◽  
G.A. Kadyralieva ◽  
M.A. Perepelkin
Keyword(s):  
Rock Mass ◽  
System Identification ◽  
Stress Distribution ◽  
Stress Field ◽  
Morphometric Analysis ◽  
Strike Slip ◽  
Ore Deposits ◽  
Southwestern Part ◽  
Initial Stress Field ◽  
Active Structures

This study focuses on the markers of tectonically stressed zones inside the rock mass, that were identified during the regional geodynamic zoning of the mine fields of the Talnakh orogenic system. Identification features for tracing geodynamically active structures within the western flank of the Talnakh orogenic system have been identified based on morphometric analysis of the Tunguska series sediments, which are the upper layer of the ore-bearing intrusions and associated ore deposits. In the larger morphostructural groups, the boundaries of contrastingly alternating zones of elevated and depressed absolute depths at the base and the roof of the Tunguska series sediments represent the boundaries of tectonic blocks of different elevation levels with sharply contrasting indices of terrain stress. The circular-shaped structures highlighted in the morphostructural schemes spatially coincide with the tectonic forms were formed as the result of strike-slip and torsional processes. A heterogeneity, which is reflected in the allocation of blocks with different values of the stress distribution coefficient (K) is identified in the initial stress field of the Tunguska series sediments. The boundaries of the geodynamic blocks that were identified using to different methods are identical. It is established that the assumed faults correspond to the faults identified based on the detailed exploration data.

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