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Vibration of frames and other structures with banded stiffness matrix
Author(s) -
Gupta K. K.
Publication year - 1970
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620020207
Subject(s) - direct stiffness method , vibration , structural engineering , stiffness , stiffness matrix , frame (networking) , simple (philosophy) , matrix (chemical analysis) , plane (geometry) , mass matrix , sequence (biology) , mathematics , computer science , geometry , engineering , physics , acoustics , materials science , mechanical engineering , philosophy , epistemology , neutrino , nuclear physics , biology , genetics , composite material
A general digital computer method based on a Sturm sequence procedure is described for determining the natural frequencies and associated modes of undamped free vibration of frames and other structures whose stiffness and mass matrices are of band form. A program which uses the method for the analysis of plane multi‐storey building frames is outlined, and numerical results are presented for a simple test case and for a 19‐storey frame.