In the proposed work, the first numerical analysis technique that combines both deterministic and statistical methodologies will be developed. The eventual goal is that this technique can be used for the prediction of the sound field (e.g. noise) in aircraft cabins. This technique will be initially developed and evaluated for beams (Phase I) and then extended to other types of structural components (Phase II). Furthermore, the feasibility of implementing the technique in a commercially viable finite element analysis program will be investigated. The deterministic and statistical approaches will be used for the components of beam structures that are "short" and "long," respectively, compared to a wavelength. The technique for coupling these two approaches together where short and long members join will be developed and evaluated. Evaluation will be accomplished by numerically predicting the response of a three-beam system and comparing the numerical results with known analytical solutions. The technique will be implemented in an existing finite element program and its commercial feasibility will be determined by examining such things as ease of use and execution speed. The work will be performed over a period of six months by Automated Analysis Corporation personnel with assistance from personnel at Purdue University. Commercial Applications:The numerical analysis technique developed in Phase I will form the basis for further development of an energy finite element program currently being developed by Automated Analysis Corporation for commercial distribution. This program will be useful to noise, vibration, and harshness (NVH) engineers in the aerospace, automotive, and defense industries.
