PowerPoint Slides: Webinar_30_rectangular_plates.pptx Audio Visual File: NESC Academy Rectangular Plate Shock & Vibration – Recommend viewing in Firefox with Sliverlight Plugin * * * References: Leissa, Vibration of Plates Plate Base Excitation: plate_base_excitation.pdf The Natural Frequency of a Rectangular Plate Point-Supported at Each Corner: plate_point_corner.pdf * *… Read more
The Vibrationdata Signal Analysis Package has a function for calculating the natural frequencies of a plate simply-supported about all edges. The package also has options for calculating the response to base excitation. Vibrationdata > Structural Dynamics > Plates, Rectangular & Circular > Rectangular Plate, Simply Supported The… Read more
Bessel Function Table: Bessel_functions.pdf * * * Tutorials Referencing Bessel Functions Newton-Raphson Method Applied to Vibration Problems: Newrap.pdf Longitudinal Vibration of a Tapered Rod: taper_long.pdf Natural Frequencies of Circular Plate Bending Modes: circular.pdf An Introduction to Slosh: slosh_intro.pdf – Tom Irvine
These Matlab scripts determine an optimum envelope for an acceleration power spectral density: envelope_plateau.zip The optimum envelope is the that which yields the lowest GRMS and Velocity RMS values. The acceleration is assumed to be the base excitation for an array of independent, parallel single-degree-of-freedom… Read more
These Matlab scripts calculate the natural frequencies and normal modes of a flat rectangular plate via the finite element method: rectangular_plate_fea.zip rectangular_plate_fea.m is the main script. The remaining scripts are supporting function. Rectangular elements are used for the numerical model, but the plotting elements are… Read more
Here is a set of Matlab GUI scripts for calculating the bending frequencies of both homogeneous and honeycomb-sandwich circular plates: circular_plate.zip * * * Here is a set of Matlab GUI scripts for calculating the bending frequencies of both homogeneous and honeycomb-sandwich annular plates: annular_plate.zip *… Read more
Here is a Matlab GUI script for calculating the bending fundamental frequency of a rectangular plate: rectangular_plate_bending.zip * * * See also: Beam Bending Frequencies Structural Dynamics – Classical Methods Page – Tom Irvine Connect with me on LinkedIn
I have never formally published any of my papers in a refereed journal or even in an engineering magazine, but others who have done so have referenced my tutorial papers. I am enclosing samples, which include conference papers, etc. – Tom Irvine * * *… Read more
The plate is aluminum, 0.063 inch thick. The fixed edge length is 6 inch. The free edge length is 4 inch. The vibration mode was calculated via the Rayleigh method using an assumed displacement function, as carried out via Matlab script: fixed_free_fixed_free_plate.m The method is… Read more