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Mathematical analysis of measured displacements with emphasis on polynomial interpolation
Boštjan Kovačič, Rok Kamnik, Zdravko Kapović, 2009, original scientific article

Abstract: At the Faculty of Civil Engineering, the University of Maribor, in the Centre for Geodesy, we have been primarily dealing with the study of displacements and application of results on deformations and mathematical analyses for the last 10 years. According to these results, we wanted to find a connection between displacements and resulting deformations in mathematical terms. For this purpose, experimental load-bearing test of a concrete girder was carried out step by step up to crack. Additionally, concrete girder was analytically modelled and also photogrammetric, geodetic, and physical methods were compared. During the process of analyzing the results, further polynomial interpolation was performed through which the displacements in the intermediate stages were calculated. Polynomial interpolation can also help in accomplishment of load-bearing experiments of larger structures.
Keywords: geodesy, vertical movement, deformation, mathematical analysis
Published: 31.05.2012; Views: 994; Downloads: 7
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Optimal kinematic design of a link-drive mechanism with prescribed velocity characteristics
Bojan Vohar, Karl Gotlih, Jože Flašker, 2003, short scientific article

Abstract: The paper presents an example of a link-drive mechanism for a deep drawing mechanical press. Because of its characteristics such a drive is much more appropriate than conventional crankshaft or eccentric drive. The existing design of the drive has proved unsatisfactory and does not meet all the demands and constraints, which are ideal for deep drawing process. Optimization of the drive is therefore necessary. The intention is to achieve the required velocity characteristics in a defined area of movement. Firstly, the drive is analyzed and a mathematical model is made and prepared for optimization procedure. The process is time-dependent, so it cannot be used directly in the optimization algorithm. Mathematical model is transformed intoa form suitable for the standard non-linear optimization procedure and then optimization is carried out. The method used is sequential quadratic programming. The final objective of the optimization process is to find such dimensions of link-drive members that the given requirements are satisfied in the best possible manner.
Keywords: mechanics, dynamics of mechanical systems, closed kinematic chains, mathematical modelling, non-linear optimization, drive optimization, drive dimensioning, kinematic analysis, link-drive mechanism, deep drawing press
Published: 01.06.2012; Views: 1414; Downloads: 79
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