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Оценка технического состояния фундаментов зданий старой городской застройки с использованием вероятностных методов распознавания

Оценка технического состояния фундаментов зданий старой городской застройки с использованием вероятностных методов распознавания

Abstract

Для решения задач по определению достоверной картины технического состояния здания и его конструктивных элементов предлагается подход, основанный на вероятностном теоретическом аппарате статистических методов технической диагностики. В статье приведен пример диагностирования состояний участков бутовых фундаментов для зданий старой городской застройки на основе уровневой формулировки задачи. Для построения иерархической схемы использованы методы теории информации, основанные на таких понятиях, как информационная энтропия, максимальная энтропия, остаточная энтропия (степень определенности или количество внесенной информации), а также вероятность степени определенности. Сформулировано решающее правило диагностирования, которое состоит в том, что объект с комплексом диагностических признаков К* относится к состоянию Si, если апостериорная вероятность этого состояния является наибольшей. На основе уровневого анализа получены численные значения вероятностей отнесения фундаментов здания к установленным в нормах пяти категориям технического состояния.

To solve the problems, by definition, a reliable picture of the technical condition of the building and its structural elements of an approach based on a probability theoretical apparatus of statistical methods of technical diagnostics. The article is an example of diagnosing states plots rubble foundations for buildings of the old urban-based tiered formulation of the problem. To construct a hierarchical scheme used methods of information theory based on concepts such as information entropy, maximum entropy, the residual entropy (degree of certainty or the number contributed to the information), as well as the probability of certainty. Formulated generally decisive diagnosis, which consists in the fact that an object with a complex of diagnostic signs K* refers to a state of Si, if the posterior probability of this condition is the greatest. On the basis of level of analysis obtained numerical values of probability assignment to the building of foundations established in the rules of the five categories of technical condition.

Keywords

ТЕХНИЧЕСКАЯ ДИАГНОСТИКА, ВЕРОЯТНОСТНЫЕ МЕТОДЫ ДИАГНОСТИРОВАНИЯ, ФОРМУЛА БАЙЕСА, МЕТОДЫ ТЕОРИИ ИНФОРМАЦИИ, ЭНТРОПИЯ, МАКСИМАЛЬНАЯ ЭНТРОПИЯ, ОСТАТОЧНАЯ ЭНТРОПИЯ, УРОВНЕВАЯ ФОРМУЛИРОВКА ЗАДАЧИ, ИЕРАРХИЧЕСКАЯ СХЕМА ДИАГНОСТИРОВАНИЯ ФУНДАМЕНТОВ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold