NUMERICAL METHODS FOR SOLVING DYNAMIC PROBLEMS

Authors

  • Togaev Anvar Abdusalomovich Head of department Road-building machines and equipment Tashkent institute of design, construction and maintenance of automotive roads

Keywords:

dynamic problems, differential equations, method integration, finite element method

Abstract

In the article the analysis of methods of the central difference, Newmark, Wilson and Houbolt on a concrete example is resulted. The mathematical model of a test problem is resulted. For the decision of a test problem the program of numerical calculation by means of program MATLAB 7.11.0 (R2010b) is developed and realized. Average deviations of results of calculation from results of the exact decision have made for the central difference method - 2 %, Newmark method of 3,5 %, Wilson method of 5 % and Houbolt method of 6 %. The Most exact decisions give methods of the central difference and Newmark which can be used at calculations of durability of framing.

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Published

2021-03-27

Issue

2020: ISTC-2K20

Section

Articles

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