Vibration Analysis of Global Near-regular Mechanical Systems

Some near-regular mechanical systems involve global de- viations from their corresponding regular system. De- spite extensive research on vibration analysis (eigenso- lution) of regular and local near-regular mechanical sys- tems, 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 de- veloped using Kronecker products and matrix manipula- tions. Specically, the eigensolution of the correspond- ing regular mechanical system was inserted in the algo- rithm to further accelerate the solution. The developed method allowed reduction in computational complexity (i.e., O(n2)) when compared to earlier methods. The application of the method was indicated using a simple example.