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The present study encompasses a thorough analysis of the vibrations in a splash musical cymbal. The analysis is performed using a hybrid methodology that combines experimental measurements with parametric computer-aided design and finite element method simulations. Experimental measurements, including electronic speckle pattern interferometry, and impulse response measurements are conducted. The interferometric measurements are used as a reference for the evaluation of finite element method modal analysis results. The modal damping ratio is calculated via the impulse response measurements and is adopted by the corresponding simulations. Two different approximations are employed for the computer-aided design and finite element method models: one using three-point arcs and the other using lines to describe the non-smooth curvature introduced during manufacturing finishing procedures. The numerical models employing the latter approximation exhibit better agreement with experimental results. The numerical results demonstrate that the cymbal geometrical characteristics, such as the non-smooth curvature and thickness, greatly affect the vibrational behavior of the percussion instrument. These results are of valuable importance for the development of vibroacoustic numerical models that will accurately simulate the sound synthesis of cymbals.
Details
Finite element method;
Simulation;
Mathematical analysis;
Investigations;
Interferometry;
Speckle patterns;
Modal damping;
Numerical models;
Approximation;
Mathematical models;
Computer aided design--CAD;
Modal analysis;
Percussion;
Impulse response;
Curvature;
Damping ratio;
Accelerometers;
Vibration;
Sound;
Electronic speckle pattern interferometry
; Kaselouris, Evaggelos 2
; Orphanos, Yannis 2
; Tatarakis, Michael 3
; Makis Bakarezos 2
; Papadogiannis, Nektarios A 2
; Dimitriou, Vasilis 2
1 Physical Acoustics and Optoacoustics Laboratory, Hellenic Mediterranean University, Perivolia, 71433 Rethymnon, Greece;
2 Physical Acoustics and Optoacoustics Laboratory, Hellenic Mediterranean University, Perivolia, 71433 Rethymnon, Greece;
3 Institute of Plasma Physics & Lasers, Hellenic Mediterranean University Centre of Research & Innovation, Tria Monastiria, 74100 Rethymnon, Greece;