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TMatrixCorrelationTools

Description

This is a simple collection of MATLAB functions for correlation analysis using the transformation matrix T.
No installation is required — just add the folder to your MATLAB path.

Main Functions

  • T_Mass.m   : Computes the T-Mass indicator to assess correlation in terms of mass between two models.
  • T_Stiffness.m: Computes the T-Stiffness indicator to assess correlation in terms of stiffness between two models.
  • Rotmac.m   : Computes the MAC and ROTMAC correlation matrices between two models.

Usage Examples

Three example scripts are provided in the Examples/ folder, demonstrating how to use the functions and interpret the results using a simple analytical 3-DOF system. For a deeper understanding, users are strongly encouraged to consult the related literature cited below.

License

This code is released under the MIT License.
You are free to use, modify, and distribute it, with proper attribution.

Citing this work

If you use these functions in your research, please consider citing the following works:

  1. García Fernández, N., Fernández Fernández, P., Brincker, R., & Aenlle López, M. (2024).
    Mass and Stiffness Correlation Using a Transformation Matrix, Infrastructures, 9(6), 96.
    https://doi.org/10.3390/infrastructures9060096

  2. Aenlle, M., García Fernández, N., & Fernández, P. (2024).
    Rotation of mode shapes in structural dynamics due to mass and stiffness perturbations,
    Mechanical Systems and Signal Processing, 212, 111269.
    https://doi.org/10.1016/j.ymssp.2024.111269


This code was implemented by Natalia García Fernández.
For inquiries or suggestions, please contact: garciafnatalia@uniovi.es

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MATLAB tools for modal correlation using the transformation matrix T.

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