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Description
This paper presents the parameter estimations of a mathematical model regarding the natural vibrations of soda-lime-silica float glass panels. The proposed approach was based on experimental research conducted on a real soda-lime-silicate sample. The estimated parameters include the modulus of elasticity and thickness of the panel. Other parameters of the model were sourced from literature data and an inventory of the real float glass panel. The literature gives the Young modulus of glass panels in the range of 68 - 72 GPa. Because of the specificity of the material, even an experimental determination of this value may be subject to some inaccuracy. Due to the manufacturing process, the thickness of the float glass panel is variable along the sample surface. Although these changes are slight, in combination with the small thickness of the panel itself, they have a significant impact on the obtained values of the dynamic characteristics. This justifies the selection of these parameters for the estimation process. The development of a discrete computational model of the soda-lime-silica float glass panel was undertaken using the Rigid Finite Element Method (RFEM) because this method can be easily implemented in the MATLAB programming environment. The MATLAB software facilitates the implementation of optimisation algorithms, which, when integrated with the proprietary model software developed within the same environment, enable the estimation of parameters associated with float glass panels. The choice of appropriate criteria in the process of parameter estimation of float glass panel models has a significant impact on the accuracy of the obtained results. The estimation criteria were selected to ensure consistency between the natural frequencies and modes measured experimentally and those obtained from the mathematical model. The parameter values achieved for the soda-lime-silicate samples in the estimation process by the RFEM model were then verified using the Finite Element Method and Abaqus software to compare the obtained dynamical results.
