Vibration Analysis of Structures with Rotation and Reflection Symmetry

Article type: Research Article

Authors: Li, Baojian | Zheng, Xiaozhong | Zhao, Jie | Shandong, Jinan

Affiliations: Department of Material Engineering, Shandong University of Technology | People's Republic of China

Abstract: The article applies group representation theory to the vibration analysis of structures with Cnv symmetry, and presents a new structural vibration analysis method. The eigenvalue problem of the whole structure is divided into much smaller subproblems by forming the mass and stiffness matrices of one substructure and than modifying them to form mass and stiffness matrices in each irreducible subspace, resulting in the saving of computer time and memory. The modal characteristics of structures with Cnv symmetry are derived from theoretical analysis. Computation and modal testing are used to verify the validity of the theoretical deductions.

DOI: 10.3233/SAV-1996-3409

Journal: Shock and Vibration, vol. 3, no. 4, pp. 303-311, 1996