Finding the the natural frequencies of a continuous beam, plate, membrane or even an acoustical volume requires solving for the eigenvalue roots of a characteristic equation, which may contain trigonometric or Bessel functions. Matlab provides an fzero function which can be used for this purpose.… Read more
Please send me an Email if you are going to use this package. Also, you are welcome to participate in the Shock & Vibration courses. Thank you,Tom IrvineEmail: tom@irvinemail.org * * * License information: The software packages on the following links are freely placed in… Read more
The Craig-Bampton method is method for reducing the size of a finite element model, particularly where two or more subsystems are connected. It combines the motion of boundary points with modes of the subsystem assuming the boundary points are held fixed. Here is a tutorial… 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
Shock and vibration environments produce dynamic stresses which can cause material failure in structures. The potential failure modes include fatigue, yielding, and ultimate stress limit. F.V. Hunt wrote a seminal paper on this subject, titled “Stress and Stress Limits on the Attainable Velocity in Mechanical… Read more
These Matlab scripts calculate the response of a single-degree-of-freedom system to base excitation: sdof_base.zip sdof_base.m is the main script. The remaining scripts are supporting functions. The base excitation may be a half-sine pulse, terminal sawtooth pulse, arbitrary pulse, or a PSD. * * * See… Read more
Functions for calculating the response of a two-degree-of-freedom system to base excitation are given in the Vibrationdata analysis package posted at: Matlab script: Vibrationdata Signal Analysis Package * * * See also: Two-degree-of-freedom Systems * * * – Tom Irvine
Here is a set of scripts that calculate the natural frequencies and mode shapes for a two-degree-of-freedom system. The scripts are posted at: two_dof_system.zip The main script is: two_dof_system.m The remaining scripts are supporting functions. * * * See also: Two-degree-of-freedom Systems – Tom Irvine
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