Single Harmonic Nonlinear Vibration Problem Solver

This GUI solves MDOF nonlinear vibration problems using single harmonic representation.
1.2K Downloads
Updated 25 Oct 2014

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The GUI is my project work submission for the course named Nonlinear Vibrations at METU Mechanical Engineering Department.
This graphical user interface calculates the responses of the multi degree freedom system having nonlinearities in a specific frequency range by using single harmonic representation. The GUI contains those nonlinearities:
 Cubic Stiffness
 Piecewise Linear Stiffness
 Dry Friction (Hysteretic)
 Velocity Squared Damping
 Piecewise Linear Viscous Damping
 Gap Nonlinearity
 Bilinear Viscous Damping
 Bilinear Stiffness
The GUI uses single harmonic describing functions to calculate the force induced by the nonlinearity in frequency domain. Since it uses only single harmonic to represent the nonlinearities, the bias terms are neglected for the nonlinearities not odd-symmetric such as gap nonlinearity, bilinear stiffness etc. It benefits receptance method to decrease computation time if possible. It uses arc-length continuation method and Newton's method to solve numerical equations.
The GUI have user be able to change forcing and to add nonlinear elements to the linear system.
All parameters are in basic units. The GUI is developed in MATLAB R2012a.
The package contains a simple user manual.

Cite As

Barış Deniz SAĞLAM (2024). Single Harmonic Nonlinear Vibration Problem Solver (https://www.mathworks.com/matlabcentral/fileexchange/48255-single-harmonic-nonlinear-vibration-problem-solver), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.1.0.0

Cover photo is added

1.0.0.0