A new approach to numerical method of modelling geological processes and rock engineering problems — continuum to discontinuum and linearity to nonlinearity

1998 ◽  
Vol 49 (3-4) ◽  
pp. 207-214 ◽  
Author(s):  
C.A. Tang ◽  
W.T. Yang ◽  
Y.F. Fu ◽  
X.H. Xu
Author(s):  
Beverly Yang ◽  
Amichai Mitelman ◽  
Davide Elmo ◽  
Doug Stead

Despite recent efforts, digitisation in rock engineering still suffers from the difficulty in standardising and statistically analysing databases that are created by a process of quantification of qualitative assessments. Indeed, neither digitisation nor digitalisation have to date been used to drive changes to the principles upon which, for example, the geotechnical data collection process is founded, some of which have not changed in several decades. There is an empirical knowledge gap which cannot be bridged by the use of technology alone. In this context, this paper presents the results of what the authors call a rediscovery of rock mass classification systems, and a critical review of their definitions and limitations in helping engineers to integrate these methods and digital acquisition systems. This discussion has significant implications for the use of technology as a tool to directly determine rock mass classification ratings and for the application of machine learning to address rock engineering problems.


Author(s):  
Lindsay Hanna ◽  
Jonathan Cagan

Many heuristic optimization approaches have been developed to combat the ever-increasing complexity of engineering problems. In general, these approaches can be classified based on the diversity of the search strategies used, the amount of change to those search strategies during the optimization process, and the level of cooperation between the strategies. A review of the literature indicates that approaches which are simultaneously very diverse, highly dynamic, and cooperative are rare but have immense potential for finding high quality final solutions. In this work, a taxonomy of heuristic optimization approaches is introduced and used to motivate a new approach, entitled Protocol-based Multi-Agent Systems. This approach is found to produce final solutions of much higher quality when its implementation includes the use of multiple search protocols, the adaptation of those protocols during the optimization, and the cooperation between the protocols than when these characteristics are absent.


2011 ◽  
Vol 243-249 ◽  
pp. 2304-2309
Author(s):  
Run Lin Yang ◽  
Zhe Feng

The slope stability analysis is of importance for the practical engineering, and has received widely attention. Generally, the calculation process of the traditional methods is complex. In this paper, a new method was presented to analyze stability of the simple homogeneous slope, in which the safety factor and the max slip displacement of the slope under seismic excitation can be derived based on the principle of the minimal potential energy. The proposed method was efficient and did not require any iterative process for calculation. In order to evaluate its performance, a numerical example was studied to analyze the slope stability. The numerical results show the proposed method is valid and feasible by comparing with the numerical method.


2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Berna Bülbül ◽  
Mehmet Sezer

A numerical method based on collocation points is developed to solve the nonlinear Klein-Gordon equations by using the Taylor matrix method. The method is applied to some test examples and the numerical results are compared with the exact solutions. The results reveal that the method is very effective, simple, and convenient. In addition, an error estimation of proposed method is presented.


2011 ◽  
Vol 133 (2) ◽  
Author(s):  
Lindsay Hanna Landry ◽  
Jonathan Cagan

Many heuristic optimization approaches have been developed to combat the ever-increasing complexity of engineering problems. In general, these approaches can be classified based on the diversity of the search strategies used, the amount of change in these search strategies during the optimization process, and the level of cooperation between these strategies. A review of the literature indicates that approaches that are simultaneously very diverse, highly dynamic, and cooperative are rare but have immense potential for finding high quality final solutions. In this work, a taxonomy of heuristic optimization approaches is introduced and used to motivate a new approach called protocol-based multi-agent systems. This approach is found to produce final solutions of much higher quality when its implementation includes the use of multiple search protocols, the adaptation of these protocols during the optimization, and the cooperation between these protocols than when these characteristics are absent.


2021 ◽  
Vol 11 (3) ◽  
pp. 217-227
Author(s):  
Tomasz Gałkowski ◽  
Adam Krzyżak ◽  
Zofia Patora-Wysocka ◽  
Zbigniew Filutowicz ◽  
Lipo Wang

Abstract In the paper we develop an algorithm based on the Parzen kernel estimate for detection of sudden changes in 3-dimensional shapes which happen along the edge curves. Such problems commonly arise in various areas of computer vision, e.g., in edge detection, bioinformatics and processing of satellite imagery. In many engineering problems abrupt change detection may help in fault protection e.g. the jump detection in functions describing the static and dynamic properties of the objects in mechanical systems. We developed an algorithm for detecting abrupt changes which is nonparametric in nature and utilizes Parzen regression estimates of multivariate functions and their derivatives. In tests we apply this method, particularly but not exclusively, to the functions of two variables.


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