Abstract
Transient Statistical Energy Analysis (TSEA) is a suitable tool to predict transient sound and vibration especially in huge structures like ship-buildings under the shock excitation. This paper discusses the governing equation of TSEA by using a system which has two identical oscillators coupled by a spring. Firstly, the exact energy response of each mass is determined analytically. Then an exact power balance equation with limitation for this system is newly derived from the exact energy responses. Numerical simulation is carried out in order to compare the results predicted by the TSEA and the exact power balance equation with exact solutions. It is shown that the responses predicted by the TSEA are earlier and larger than the exact results when the system has the ratio of coupling loss factors to internal loss factors less than 1.69. It is also shown that the earlier and larger results by TSEA are dependent on the initial transmitted power from the source subsystem to the receiver subsystem which is unreasonable transmission.
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