Bias of vibrational energy at high frequencies in circular and rectangular plates

Abstract

Experimental modal analysis can be used to measure the modal parameters and vibrational energy in structures. This presentation will compare biases in the total vibration energy at high frequencies for a circular and rectangular aluminum plate that are freely supported. Both rectangular and cylindrical coordinates were used to create the set of excitation points for the circular plate, while only rectangular coordinates were used for the rectangular plate. Singular value decomposition was then used to obtain the natural frequencies and mode shapes in each of these plates. The obtained modes were used to synthesize the vibration response and to compute the vibration energy. Biases were found at high frequency using a direct integration method to compute the vibration energy. The dependencies of the bias on the plate geometry and set of excitation points will be discussed.