Generalized equivalent method for dynamics of multipocket thin-walled parts

Multipocket thin-walled parts are used extensively in aerospace industry, and their dynamics greatly depend on the structures. Available methods for the prediction of their dynamics are repetitive modeling and computational demanding. This paper presents a generalized equivalent method with high computational efficiency to predict the dynamics of multipocket thin-walled parts. The parts compose of a series of dynamics units, which can be further decomposed into thin plate and adjacent structure. The dynamics model of the thin plate is developed based on the characteristic of the dimension and the vibration in machining. The adjacent structure is regarded as the flexible boundary condition of the thin plate model, which is equivalent as cantilever beam. The cross sections of the beam are parameterized based on subareas, which makes the calculation rapidly. This generalized equivalent method is validated by the frequency response function (FRF) measurement of seven points on the benchmark including different thin plates and adjacent structures. The proposed method reaches a good agreement with the experimental tests; meanwhile, it can avoid reduplicative modeling and is similar to 100 times more computationally efficient than the typical finite element method.