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Publications in Scientific Journals:

R. Heuer:
"Vibrations of linear structures with spatial local nonlinearities";
PAMM - Proceedings in Applied Mathematics and Mechanics, 6/www3.interscience.wiley.com/cgi-bin/jhome/91016652 (2006), 1; 2 pages.



English abstract:
Classical Modal Analysis can be applied to linear systems if the corresponding damping matrix is proportional to the mass or/and stiffness matrices. Otherwise, e.g., in case of structures with single external damping devices, an alternative or approximate solution procedure for determining the dynamic response has to be chosen, compare [1]-[3]. Vibration problems of linear structures with spatially localized nonlinearities are related to those non-classically damped systems. Such systems are characterized by the fact that their nonlinear behavior is largely restricted to a limited number of single points in the structure. The objective of this paper is to present an approximate semi-analytical procedure for analyzing the steady-state harmonic response of those locally nonlinear structures, where special emphasis is laid on beams with single nonlinear devices.

Created from the Publication Database of the Vienna University of Technology.