Free Vibration of Large Regular Repetitive Structures
نویسنده
چکیده
In this paper, free vibrations of large repetitive regular planar and space trusses are considered. For this kind of structures the corresponding stiffness and mass matrices have tri-diagonal block and in the canonical form, ) , , ( T F B A B K and ) , , ( 0 D 0 M G , which simplifies their Eigen frequencies. Practical large space and planar trusses contains with repetitive units, known as their substructures, have structural matrices in the presented canonical form K and M. Here, an efficient method is presented for free vibration of this type of structures. Examples are included to show the accuracy of the presented approach. KeywordsFree vibration, Eigen frequencies, tri-diagonal, Eigen solution, stiffness and mass matrix, canonical forms, truss, space structures.
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