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Research About Method To Calculate Directly Of Characteristical Depth Of Trapezoidal Channel

Posted on:2009-02-18Degree:MasterType:Thesis
Country:ChinaCandidate:R LiFull Text:PDF
GTID:2132360245951044Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Trapezoidal channel depth features - normal depth, critical depth, depth and contraction of conjugated water depth is calculated and mechanical design of a water conservancy project is particularly important parameters. These features depth of the solution, in essence, with a number of unknown parameters for single-variable equations or high beyond the equation, but, in theory, have no analytical solution, the solution of common major test algorithm, iterative method, charts law and the approximate solution, etc.. Test algorithm is complicated, heavy workload;The pros and cons of iterative methods and iterative format and is closely related to the selection of the initial value, but also for beginners and non-engineering experience are often iterative equation for initial selection and unreasonable without convergence; graphical method is to use has been a large number of good Solving charts, poor accuracy, and graphical method must use specialized charts, a number of these types of charts, the most common is teaching hydraulics manual or hydraulic calculation is the use of several forms of double-solving Figure Drawing or numerical investigation balance sheet, and the use of very troublesome, but in theory are not perfect and there are approximate solution of computational complexity and calculation results inaccurate or scope of such small shortcomings. Therefore, these methods are difficult to achieve simple, accurate, and General Theory of reunification. Hydraulics to the basic method of hydraulic calculation did not form a complete scientific system, the laws and methods to solve theoretical and poor, and too blind, too cumbersome, but also facilitate the project can not achieve practical use. Therefore, in this paper, on the basis of previous studies, through systematic study and analysis, the trapezoidal channel in accordance with the characteristics of the basic equation depth features and special functions solving method and calculation method, using iterative method, least squares fitting, 2 Victoria optimization, regression analysis, similar proportion, Cartan one yuan cubic equation, error analysis and mathematical software, to the depth of four trapezoidal channel features a direct calculation formula, error analysis and examples of shows that the formula for calculating the form of direct simple, apply a wide range of high precision. Finally this study and understanding of, a number of prospects, that is, on the basis of the above, the genetic algorithms, wavelet analysis, neural network and SPSS statistical analysis software to the use of trapezoidal channel depth features-normal depth, critical depth , conjugate depth and the depth of contraction process, to be more simple, accurate, and the direct universal formula.
Keywords/Search Tags:trapezoidal channel, characteristics of depth, calculation method, iterative method, calculation formula
PDF Full Text Request
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