Eigenproblems of Symmetric Planar Frames

نویسندگان
Kaveh, A. ID 1
Salimbahrami, B. ID 2

1 Department of Civil Engineering,Iran University of Science and Technology

2 Department of Civil Engineering,Iran University of Science and Technology

doi
چکیده

In this paper, the graph models of planar frame structures with di erent symmetries are decomposed and appropriate processes are designed for their healing in order to form the corresponding factors. The eigenvalues and eigenvectors of the entire structure are then obtained by evaluating those of its factors. The methods developed in this article simplify calculation of the natural frequencies and natural modes of the planar frames with di erent types of symmetry.

کلیدواژه‌ها
Symmetry, Planar frames, Decomposition, Graph factors, Eigenvalues, Natural frequencies