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Dynamic properties of asymmetric wall‐frame structures
Author(s) -
Rutenberg A.,
Tso W. K.,
Heidebrecht A. C.
Publication year - 1977
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290050104
Subject(s) - perturbation (astronomy) , frame (networking) , dynamic equation , mathematics , mathematical analysis , matrix (chemical analysis) , natural frequency , damping matrix , structural engineering , computer science , physics , engineering , stiffness matrix , finite element method , nonlinear system , materials science , vibration , telecommunications , quantum mechanics , composite material
An approximate method is proposed for evaluation of the natural frequencies and mode shapes of uniform asymmetric wall‐frame structures. An exact solution is first given for the case in which the coefficient matrix of the dynamic equilibrium equations satisfies certain conditions. Using perturbation analysis, the method is then applied to the more general case in which these conditions are only approximately satisfied. A numerical example is presented to illustrate the technique.