A new general method for assigning frequencies with low spillover through structural modifications

• Published in: Journal of low frequency noise, vibration, and active control Vol. 42; no. 4; pp. 1900 - 1918
• Main Authors: Liu, Zihao, Pang, Jichao, Ouyang, Huajiang, Xie, Guocheng
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.12.2023; Sage Publications Ltd; SAGE Publishing
• Subjects: Eigenvalues; Finite element method; Genetic algorithms; Mathematical models; Neural networks; Parameter modification; Radial basis function; Resonant frequencies; structural modifications; multi-population genetic algorithm; radial basis function neural network; MATLAB-PYTHON-ABAQUS data interaction system; Partial eigenvalue assignment
• ISSN: 1461-3484; 2048-4046; 2048-4046
• DOI: 10.1177/14613484231187818

By modifying the mass and stiffness parameters of a structure, a subset of its natural frequencies can be assigned. However, such an assignment is usually accompanied with changes of the remaining frequencies, known as ‘spillover’. Eigenvalue or frequency spillover often needs to be avoided in engineering. In this paper, a new and general method is proposed for assigning a subset of the natural frequencies of a structure with a low level of spillover through structural modifications. The method combines a multi-population genetic algorithm and a radial basis function neural network and is implemented in a MATLAB-PYTHON-ABAQUS data interaction system. It is suitable for theoretical models (for example, finite element models) of general structures. By means of three numerical examples, the ability of the method to assign subsets of frequencies to discrete and discretised continuous structures while maintaining low spillover is demonstrated.