magpie
An open source MATLAB library for working with thin plates with generalized elastic boundary conditions. The framework is designed around two key use cases
- Exploration of plates for understanding how material properties affect mode shapes and modal frequencies.
- Derivation of material properties from experimental data.
Contents
Functions
- magpie: modal analysis of 2D plates with generalised elastic boundary conditions
- bhmat: generate the 2D biharmonic operator with elastic boundary constants.
- youngcalc: estimate Young's modulus from measured modal frequencies
- biharmdiag: biharmonic coefficients of a diagonal band by sublock
- fidimat: generate finite difference spatial sparcity matrices
- bhcoefs: biharmonic coefficients of a block order
References
- Howard, & Angus, J. A. S. (2009). Acoustics and psychoacoustics (4th ed..).
- Ashby, (October 2021) Material property data for engineering materials Department of Engineering, University of Cambridge (5th edition)