Modal Substructuring (CMS) and Modal Substructure Modificati

Suite of tools that perform modal substructuring and structural dynamic modification.
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Updated 15 Feb 2021

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This submission contains an implementation of the modal substructuring approach described in Chapter 9 of Ginsberg, “Mechanical and Structural Vibrations,” Wiley, 2001. The well known Craig-Bampton component mode synthesis method is a special case of the approach implemented here. The routine ‘ritzscomb’ can be used to predict the mode shapes, natural frequencies and damping ratios of an assembly of substructures from the modes of the subcomponents and the constraints that are to be enforced. For simpler problems where one wishes to add or remove rigid springs or masses from a structure, the routine ‘ritzsmod’ can be used.

The methods implemented here were recently used in the following publication, where the “modal constraint” method, implemented in ‘mkmodalconstr’ was described in detail.

M. S. Allen, R. L. Mayes, and E. J. Bergman, "Experimental Modal Substructuring to Couple and Uncouple Substructures with Flexible Fixtures and Multi-point Connections," Journal of Sound and Vibration, 2010, doi:10.1016/j.jsv.2010.06.007

The methods are described in a recent book:
https://link.springer.com/book/10.1007/978-3-030-25532-9%20

Cite As

Matt Allen (2024). Modal Substructuring (CMS) and Modal Substructure Modificati (https://www.mathworks.com/matlabcentral/fileexchange/28063-modal-substructuring-cms-and-modal-substructure-modificati), 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
1.3.0.0

Added missing subfunctions.

1.2.0.0

Changed the name of the main script to CMS to be more easily recognizable. Other minor updates and additions.

1.1.0.0

Minor enhancements and improvements. Basic functionality is unchanged and this is still compatible with calling format of prior versions.
Now includes option to force mass matrix to be positive definite and other enhancements.

1.0.0.0