Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
A single-mode model is used for the random vibration of the simply-supported and clamped plates undergoing thermal buckling due to the immovable edge constraint imposed on all plate edges. It is shown that the equivalent linearization technique gives the mean square transverse displacement and RMS strain and stress distributions on the simply-supported and clamped plates, which are much larger (by more than 50 % in some numerical examples) than the Fokker-Planck values. Yet, it is a fortuitous accident that the equivalent linearization can be used at all, which essentially yields a wrong variance. Perhaps, the saving grace is that total moments are dominated by the snap-through displacement and not by fluctuations.
A single-mode model is used for the random vibration of the simply-supported and clamped plates undergoing thermal buckling due to the immovable edge constraint imposed on all plate edges. It is shown that the equivalent linearization technique gives the mean square transverse displacement and RMS strain and stress distributions on the simply-supported and clamped plates, which are much larger (by more than 50 % in some numerical examples) than the Fokker-Planck values. Yet, it is a fortuitous accident that the equivalent linearization can be used at all, which essentially yields a wrong variance. Perhaps, the saving grace is that total moments are dominated by the snap-through displacement and not by fluctuations.
Applicability of the equivalent linearization for thermally buckled plate random vibration
Anwendbarkeit der äquivalenten Linearisierung für ungeordnete Schwingungen von thermisch ausgebeulten Platten
Lee, J. (Autor:in)
1995
8 Seiten, 3 Bilder, 1 Tabelle, 15 Quellen
Aufsatz (Konferenz)
Englisch
Optimized equivalent linearization for random vibration
Elsevier | 2023
|Vibration of Thermally Post-Buckled Orthotropic Circular Plates
British Library Online Contents | 2007
|Piezoelectric buckled beams for random vibration energy harvesting
British Library Online Contents | 2012
|