In this paper a new semi-analytic numerical method i.e. Analytical Substructure Method (ASM) is established to study the vibration characteristics of conical-cylindrical-spherical combined shell with arbitrary boundary conditions in vacuum. First, according to the structure types, the whole structure is divided into substructures: conical shell, annular circular plates, bulkheads, cylindrical shells, open spherical shell. Second, by using power series method, annular circular plate theory, and wave propagation method and by introducing auxiliary functions, the dynamic equations of the substructures are formed respectively. Then using the boundary conditions and the displacement and force continuity conditions between the substructures, the dynamic equation of the whole structure is established. Finally, the vibration characteristics of the structure are obtained. By comparison with computational results obtained from a finite element method, the accuracy and the efficiency of ASM are verified. Three common boundary conditions of the structure are discussed in numerical analysis. The paper demonstrates that ASM is applicable for complex structures with all tested boundary conditions, providing a new approach and idea to study the vibration characteristics of complex combined shells.
|Title of host publication||Proceedings of 43rd International Congress on Noise Control Engineering|
|Publisher||Australian Acoustical Society|
|Publication status||Published - 2014|
|Event||43rd International Congress on Noise Control Engineering: Improving the World Through Noise Control - Melbourne, Australia|
Duration: 16 Nov 2014 → 19 Nov 2014
|Conference||43rd International Congress on Noise Control Engineering: Improving the World Through Noise Control|
|Period||16/11/14 → 19/11/14|