03-12-2015 дата публикации
Номер: US20150345929A1
Принадлежит:
A method for determining the bend of a tubular structure, including determining the inclination of first and second rigid objects fixed in distinct locations along the tubular structure. The method includes supplying accelerometers (A, . . . A) rigidly linked by the object to measure an acceleration in at least one direction of measurement (vj), the respective directions of measurement of at least two of said accelerometers being non-collinear. The measurement, by the accelerometers, of the components of the Earth's gravitational field along said directions of measurement, the measurement providing, for each of said directions, a measurement value, denoted mfor a measurement direction of index i. The method includes solving a defined matrix equation to determine the inclination Φ of the object relative to the reference frame of reference. 111-. (canceled)13. The method as claimed in claim 12 , in which at least two accelerometers of each of said objects are remote.15. The method as claimed in claim 12 , in which there are at least four of said accelerometers for each of said objects claim 12 , they are distributed in a circle (C) and each exhibit a direction of measurement defined by the radius linking this accelerometer to the center of the circle.16. The method as claimed in claim 15 , in which said accelerometers (A claim 15 , . . . A) are distributed uniformly on said circle.17. The method as claimed in claim 15 , in which the accelerometers exhibit a gaussian and centered statistical measurement noise claim 15 , said solving of the matrix equation comprising the minimization of a criterion L(Φ claim 15 , η) defined by the following equation:{'br': None, 'i': 'L', 'u': [{'@style': 'single', 'i': 'f'}, {'@style': 'single', 'i': 'm'}, {'@style': 'single', 'sup': '−1', 'Γ'}, {'@style': 'single', 'i': 'f'}, {'@style': 'single', 'i': 'm'}], 'sup': 'T', '(θ,η)=(sin(φ)(η)−)××(sin(φ)(η)−)'}{'u': [{'@style': 'single', 'f'}, {'@style': 'single', 'Γ'}], 'sub': 'i', 'with ...
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