RU2014149376A - The method of measuring the radius of curvature of the pipeline according to geodetic measurements - Google Patents
The method of measuring the radius of curvature of the pipeline according to geodetic measurements Download PDFInfo
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Abstract
Способ измерения радиуса кривизны трубопровода по данным геодезических измерений, состоящий в том, что измерения производятся с помощью лазерного построителя плоскости, а далее с помощью тахометра, рулетки и прочих инструментов и приспособлений, применяемых для геодезический измерений, при этом предполагается, что геодезические измерения содержат ошибки, далее для максимальной минимизации ошибок геодезических измерений вычисляются для горизонтального радиуса кривизны трубопровода значения дистанций для выбранных точек lи соответствующие значения координат xи yi=1…N, где N - количество точек измерения, по следующим формулам:- расчет величин для параболической парной регрессии:- формирование матрицы:- вычисление матрицы коэффициентов параболы:- нахождение экстремума:- формирование опорных точек для построения окружности:где p - опорная дистанция для построения окружности;- формирование вспомогательной матрицы:- вычисление матрицы коэффициентов окружности:- определяется вертикального радиус кривизны:принеобходимо уменьшить значение p при формировании опорных точек для построения окружности, повторить расчет или проверить значения исходных данных; для вычисления горизонтального радиуса кривизны трубопровода соответствующие высоты z.A method for measuring the radius of curvature of a pipeline according to geodetic measurements, which consists in measuring using a laser plane builder, and then using a tachometer, tape measure and other tools and devices used for geodetic measurements, it being assumed that the geodetic measurements contain errors , further, to minimize the errors of geodetic measurements, the distance values for the selected points l and corresponding coordinate values x and yi = 1 ... N, where N is the number of measurement points according to the following formulas: - calculation of values for a parabolic pairwise regression: - matrix formation: - calculation of a matrix of parabola coefficients: - finding an extremum: - forming reference points for creating a circle : where p is the reference distance for constructing the circle; - formation of the auxiliary matrix: - calculation of the matrix of circle coefficients: - the vertical radius of curvature is determined: it is necessary to reduce the value of p when forming the reference points for I build a circle, repeat the calculation or check the values of the source data; to calculate the horizontal radius of curvature of the pipeline, the corresponding heights z.
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RU2014149376/28A RU2592733C2 (en) | 2014-12-09 | 2014-12-09 | Method of measuring radius of curvature of pipeline by data of geodesic measurements |
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RU2014149376/28A RU2592733C2 (en) | 2014-12-09 | 2014-12-09 | Method of measuring radius of curvature of pipeline by data of geodesic measurements |
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RU2014149376A true RU2014149376A (en) | 2016-07-10 |
RU2592733C2 RU2592733C2 (en) | 2016-07-27 |
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RU2014149376/28A RU2592733C2 (en) | 2014-12-09 | 2014-12-09 | Method of measuring radius of curvature of pipeline by data of geodesic measurements |
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RU2671293C1 (en) * | 2017-11-27 | 2018-10-30 | Общество с ограниченной ответственностью "ГАЗПРОМ ТРАНСГАЗ НИЖНИЙ НОВГОРОД" | Method of determining curvature of bent branches of underground pipelines |
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Publication number | Priority date | Publication date | Assignee | Title |
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RU2006792C1 (en) * | 1991-04-22 | 1994-01-30 | Новосибирский институт инженеров геодезии, аэрофотосъемки и картографии | Device for measurement of radius of curvature of surface of part |
RU2159928C1 (en) * | 1999-06-15 | 2000-11-27 | Федеральный научно-производственный центр Научно-исследовательский институт комплексных испытаний оптико-электронных приборов и систем ВНЦ "ГОИ им. С.И. Вавилова" | Technique measuring radius of curvature of long-focused mirror |
US7589824B2 (en) * | 2007-05-22 | 2009-09-15 | Sure-Shot Medical Device, Inc. | Surface curvature measurement tool |
RU2439487C2 (en) * | 2009-03-25 | 2012-01-10 | Общество с ограниченной ответственностью "Люмента" | Device and method for noncontact measurement of curvature of long object |
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