Shojaei, I., Rahami, H. (2017). Vibration Analysis of Global Near-regular Mechanical Systems. Journal of Algorithms and Computation, 49(2), 113-118.
Iman Shojaei; Hossein Rahami. "Vibration Analysis of Global Near-regular Mechanical Systems". Journal of Algorithms and Computation, 49, 2, 2017, 113-118.
Shojaei, I., Rahami, H. (2017). 'Vibration Analysis of Global Near-regular Mechanical Systems', Journal of Algorithms and Computation, 49(2), pp. 113-118.
Shojaei, I., Rahami, H. Vibration Analysis of Global Near-regular Mechanical Systems. Journal of Algorithms and Computation, 2017; 49(2): 113-118.
Vibration Analysis of Global Near-regular Mechanical Systems
1Department of Biomedical Engineering, University of Kentucky, Lexington, KY 40506, USA.
2School of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran.
Abstract
Some near-regular mechanical systems involve global deviations from their corresponding regular system. Despite extensive research on vibration analysis (eigensolution) of regular and local near-regular mechanical systems, the literature on vibration analysis of global near-regular mechanical systems is scant. In this paper, a method for vibration analysis of such systems was developed using Kronecker products and matrix manipulations. Specifically, the eigensolution of the corresponding regular mechanical system was inserted in the algorithm to further accelerate the solution. The developed method allowed reduction in computational complexity (i.e., $\mathrm{O}(n^2)$) when compared to earlier methods. The application of the method was indicated using a simple example.
Top