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R. Heuer:
"Thermally induced vibrations of linear elastic beams with spatial local nonlinearities";
in: "Proceedings of the 8th International Congress on Thermal Stresses", M. Ostoja-Starzewski et al. (Hrg.); herausgegeben von: International Congress on Thermal Stresses; International Congress on Thermal Stresses, Urbana-Champaign, IL, USA, 2009, ISBN: 0615282334, S. 91 - 94.

Vibration problems of linear structures with spatially localized nonlinearities are related to non-classically damped systems with single external devices. 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 a semi-analytical procedure for analyzing the dynamic steady-state response of locally nonlinear beam structures under thermal excitation, where special emphasis is laid on systems with single spring or/and damping devices.

Local nonlinearity, Thermal bending, Flexural beam vibrations