Application of Optoelectronic Liquid Lever Sensor in Urban Bridges Deflection Monitoring

The deflection which reflects the bridge linear variety is an important parameter for the evaluation of bridge safety. According to the structural characteristics of urban bridges, the connected pipe optoelectronic liquid level sensor system is a novel kind of sensor for detecting the connected pipe liquid level, which can be applied for multipoint, long-period, online, remote, automatic measurement of bridge deflection, it is not affected by the dust, humidity and fog in the urban bridge health monitoring and maintenance. At present, the system has been integrated and applied in the project of main roads bridge Online Safety Monitoring Management System in Hangzhou (Phase II), a web-based urban bridge cluster monitoring system have been established since 2007. According to a tied arch bridge case studies, the measuring data show that the system not only can accurately collect the bridge normal deflection information and variety, but also successfully monitored the structural responses due to the Wenchuan earthquake on May 12, 2008. About two-minute abrupt changes in displacement amplitude were observed in the measured signals starting at 14:37, about 9 minutes later than the earthquake’s occurring. The results shows, it is an effective method for the real-time monitoring of urban bridge deflection.

Fractional parts of Linear polynomials and an application to hypergeometric functions

Using a result on arithmetic progressions, we describe a method for finding the rational h–tuples ρ = (ρl,…,ρh) such that all the multiples mρ (for m coprime to a denominator of ρ) lie in a linear variety modulo Z. We give an application to hypergeometric functions.

Hyperplans poissoniens et compacts de Steiner

A compact convex set in RN is Steiner if it is a finite Minkowski sum of line segments, or a limit of such finite sums, and then satisfies an extension of the Steiner formula. With each Poisson hyperplane stationary process A is uniquely associated a Steiner set M, and for any linear variety V, the Steiner set associated with is the projection of M on V. The density of the order k network Ak (i.e., the set of the intersections of k hyperplanes belonging to A) is linked with simple geometrical properties of M. In the isotropic case, the expression of the covariance measures associated with Ak is derived and compared with the analogous results obtained for (N — k)-dimensional Poisson flats.

Hyperplans poissoniens et compacts de Steiner

A compact convex set in RN is Steiner if it is a finite Minkowski sum of line segments, or a limit of such finite sums, and then satisfies an extension of the Steiner formula. With each Poisson hyperplane stationary process A is uniquely associated a Steiner set M, and for any linear variety V, the Steiner set associated with is the projection of M on V. The density of the order k network Ak (i.e., the set of the intersections of k hyperplanes belonging to A) is linked with simple geometrical properties of M. In the isotropic case, the expression of the covariance measures associated with Ak is derived and compared with the analogous results obtained for (N — k)-dimensional Poisson flats.