The Application of Kalman Filtering to Predict Vertical Rail Axis Displacements of the Overhead Crane Being a Component of Seaport Transport Structure

Abstract

As the devices designed to transport materials

A New Geodetic Method of Examination of Geometrical Conditions of a Crane Bridge

“…In order to take into account conditions of parallel and perpendicular characters, and the imposed height of the controlled points (Equations ( 7), (8), and ( 9)), the adjustment task must be solved by the parametric method with the conditions on estimated parameters. This method has already been used and described by the authors in the works [1][2][3], and the broader theoretical considerations can be found in [15,16]. Only the main dependencies necessary to understand the presented solution will be presented below.…”

“…Thus, the issues discussed in this paper clearly refer and are particularly important for geoscientific activities. The authors' earlier studies allowed for the determination of the method of adjustment of crane rails in 3D [1,2] as well as the method to determine vertical displacements of rails working under crane loading and their prediction using a Kalman filter [3]. Comprehensive support for the proper operation of the crane also requires testing of the geometrical conditions of the crane bridge, which is subjected to various forces associated with the transfer of loads and the need for actions such as braking with a load, which can lead to deformation of the bridge.…”

“…This method takes into account the necessary conditions of the parallel and perpendicular characters of crane bridge structural elements, which are an important factor affecting the crane safety. Previous works [1][2][3] addressed the geodetic methods invented to develop the measurement results based on the parametric method with the conditions imposed on parameters in order to check the geometry of the rail axes of the crane roadway. In addition to outlining theoretical considerations, this paper presents their practical applications.…”

The Concept of Geodetic Analyses of the Measurement Results Obtained by Hydrostatic Leveling

“…The performed analysis utilizes the Kalman filtering method. General assumptions regarding this method and its application in geodetic measurement result processing are discussed in [12][13][14][15][16]. In the paper, Kalman filtering is implemented to predict sensor displacements.…”