Probable Errors of Dynamic Method at Conservative System Stability Analysis

Abstract:

Application of dynamic method for conservative system stability analysis is considered. It is shown that the use of this method may cause essential errors. A detailed analysis of error causes is given. A number of models is considered, at which stability analysis, errors occur. Threat evaluation of such errors is given. It is shown that the physical nature of probable errors is in that in degenerated dynamic system these forms of stability loss correspond to the original system from which all dynamic degrees of freedom are excluded. Recommendations which allow excluding probable errors are given. Method which may be called degenerated system dynamic method is proposed. This method is especially effective at time dynamic analysis of linear degenerated system subjected to short-term loads.

• Periodical: Applied Mechanics and Materials (Volumes 725-726)
• Pages: 790-795
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.725-726.790
• Online since: January 2015
• Authors: Iurii Rutman*, Victor Ulitin
• Keywords: Conservative System, Dynamic Method, Error Analysis by Degenerated System Method, Stability

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