Model Analysis for Comprehensive Transportation Structure Evolution Based on Catastrophe Theory

2013 ◽  
Vol 444-445 ◽  
pp. 801-805
Author(s):  
Li Ping Wu ◽  
Chun Ping Pang ◽  
Bin Qian
Keyword(s):  
Catastrophe Theory ◽  
Turning Point ◽  
Transportation System ◽  
Model Analysis ◽  
Structure Evolution ◽  
Development Pattern ◽  
Basic Principles ◽  
Model Based ◽  
Fast Optimization ◽  
Catastrophic Model

The cusp catastrophic model based on catastrophe theory is presented to analyze the development pattern evolution of comprehensive transportation system (CTS for short). By establishing cusp catastastrophe model of development pattern we obtain that the construction of comprehensive transportation system should include two parts, the first part is the stock optimization and the second part is the increment construction. With the increment construction as the turning point, promoting the fast optimization of the stock should be the basic principles of the construction and development of CTS.

Basic principles and concepts of model analysis

1971 ◽  
Vol 11 (4) ◽  
pp. 325-336 ◽  
Author(s):  
Donald F. Young
Keyword(s):  
Model Analysis ◽  
Basic Principles

Application of Catastrophe Theory in Surrounding Rock Stability

2013 ◽  
Vol 712-715 ◽  
pp. 974-978
Author(s):  
Din Ge Kong ◽  
Kai Hu
Keyword(s):  
Catastrophe Theory ◽  
Surrounding Rock ◽  
Underground Engineering ◽  
Rock System ◽  
Instability Problem ◽  
Rock Stability ◽  
Highly Nonlinear ◽  
Practical Engineering ◽  
Simplified Mechanical Model ◽  
Catastrophic Model

Surrounding rock system of underground engineering is highly nonlinear, and there is no unified cognition for its stability criteria. Introduces the basic principle of catastrophe theory, focusing on the cusp catastrophic model, build a simplified mechanical model for the surrounding rock, and the instability of surrounding rock of the cusp catastrophic model is obtained. In practical engineering, it is show that catastrophe theory is an effective method to study the instability problem of the tunnel.

Analysis of Oxytropis Tower Structure with Model Method

2013 ◽  
Vol 405-408 ◽  
pp. 1012-1016
Author(s):  
Kang Qin ◽  
Zhong Gen Xu ◽  
Chang Gen Deng
Keyword(s):  
Modal Analysis ◽  
Reference Data ◽  
Model Analysis ◽  
Seismic Action ◽  
Transmission Tower ◽  
Basic Principles ◽  
Elastic Plastic ◽  
Model Method ◽  
Plastic Analysis ◽  
Tower Structure

Basic principles of the modal analysis are introduced. Model analysis of an oxytropis tower which is in an actual transmission tower system is carried out. Rationality of the modal is checked by results of the vibration periods. Meanwhile, analysis of vibration types of transformation and rotation under seismic action is also carried out, in order to provide reference data for further elastic-plastic analysis.

Stability Analysis of Rectangular Plate Based on Catastrophe Theory

2011 ◽  
Vol 148-149 ◽  
pp. 968-972
Author(s):  
Guo Feng Jin ◽  
Wei Zhang ◽  
Yuan Jia Song ◽  
Zheng Wei Yang ◽  
Gan Tian
Keyword(s):  
Rectangular Plate ◽  
Catastrophe Theory ◽  
Large Deflection ◽  
Preventive Measures ◽  
Space Structures ◽  
Necessary Condition ◽  
Control Space ◽  
Total Potential ◽  
Plates And Shells ◽  
Catastrophic Model

Plates and shells are well used in structures. In order to study the nonlinear stability of plate, the total potential energy expression was deduced after analyzing the geometrical conditions of four ends simply supported rectangular plate on large deflection, the cusp catastrophic model of the rectangular plate was established based on catastrophe theory, and the bifurcation set that makes the system unstable was obtained to analyze the instability conditions of rectangular plate. The instability conditions of rectangular plate were analyzed based on this set, the critical inner stress is at the cusp point, the necessary condition of instability is σ>σcr, but the plate is stable when the movement path of control variables composed by inner stress and landscape load not across the bifurcation curves in the control space. Structures in some projects can be predigested to such a rectangular plate and this cusp catastrophic model can be used for analyzing its instability conditions for taking preventive measures.

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