INVESTIGATION OF THE DYNAMIC BEHAVIOUR OF BEAM STRUCTURE WITH GEOMETRICAL NONLINEARITY
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- TITLE: INVESTIGATION OF THE DYNAMIC BEHAVIOUR OF BEAM STRUCTURE WITH GEOMETRICAL NONLINEARITY
- ABSTRACT: The dynamic behaviour of straight cantilever beam has been investigated. The beam is loaded simultaneously of bending and compression, which is a reason for geometrical nonlinearity. A method for dynamic modeling of the beam elastic curve has been applied. The method is based on the idea of separation of the variables (time and metric) before establishing the differential equation of motion by means of prior static modeling of the elastic line shape. The approach has been applied to the device for the experimental determination of the coefficient of sliding friction between the deforming element and the workpiece during the slide diamond burnishing process. The body of the device has been modeled as a cantilever beam with geometric nonlinearity. Between the longitudinal (burnishing force) and transverse (slide friction force) forces exists a correlation defined by Coulomb's law of sliding friction. On this basis, it is obtained an analytical relationship between the deflection and the friction coefficient.
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