Citation :

Chukwuemeka Joshua Okafor, Adedayo Emmanuel AINA, Rebecca Bolaji KALASUWE, Damilola ADEBAYO, "Impact of Frequency on Square Plate," International Journal of Industrial Engineering, vol. 13, no. 2, pp. 10-23, 2026. Crossref, https://doi.org/10.14445/23499362/IJIE-V13I2P102

Abstract

Parts A and B form this report. Part A investigates the influence of frequency on a square plate using Warburton's theorem. A Modal evaluation is performed on a fixed square plate having a length and width of 1000 mm x 1000 mm and a thickness of 1.75mm employing Siemens NX, version 12. SOL 103 real Eigenvalues is the solver utilized within the program to determine the mode patterns on the plate of the first ten natural frequencies. To correlate the simulation performance analysis with the underlying analytical theory, the first 10 natural frequencies are obtained in excel using Warburton's theory. With the exception of a few differences, the simulation mode forms corroborate Warburton's hypothesis and were near to the analytical predictions. Part B explicitly define background theory of linear and nonlinear analysis. A simulation of the linear and nonlinear behavior of a guttering bracket was also carried out to examine the behavior of the model. The analysis shows that for an applied force of 100 N, the maximum displacement for both linear and nonlinear is within 5 mm. While the stress acted on the material shows that the true stress is the nonlinear analysis, as it shows the nodal stress concentration.

Keywords

Square plate, Warburton's Theorem, Finite Element Analysis (FEA), Natural Frequencies.

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