Theory and experiments for large-amplitude vibrations of circular cylindrical panels with geometric imperfections

2006 ◽  
Vol 298 (1-2) ◽  
pp. 43-72 ◽  
Author(s):  
M. Amabili
Keyword(s):  
Large Amplitude ◽  
Geometric Imperfections ◽  
Cylindrical Panels ◽  
Large Amplitude Vibrations ◽  
Theory And Experiments

Influence of Geometric Imperfections and In-Plane Constraints on Nonlinear Vibrations of Simply Supported Cylindrical Panels

1984 ◽  
Vol 51 (2) ◽  
pp. 383-390 ◽  
Author(s):  
David Hui
Keyword(s):  
Shell Thickness ◽  
Nonlinear Vibrations ◽  
Vibration Mode ◽  
Vibration Frequencies ◽  
Linear Vibration ◽  
Geometric Imperfections ◽  
Simply Supported ◽  
Cylindrical Panels ◽  
Initial Geometric Imperfections ◽  
Large Amplitude Vibrations

This papers deals with the effects of initial geometric imperfections on large-amplitude vibrations of cylindrical panels simply supported along all four edges. In-plane movable and in-plane immovable boundary conditions are considered for each pair of parallel edges. Depending on whether the number of axial and circumferential half waves are odd or even, the presence of geometric imperfections (taken to be of the same shape as the vibration mode) of the order of the shell thickness may significantly raise or lower the linear vibration frequencies. In general, an increase (decrease) in the linear vibration frequency corresponds to a more pronounced soft-spring (hard-spring) behavior in nonlinear vibration.

Effects of Geometric Imperfections on Large-Amplitude Vibrations of Rectangular Plates With Hysteresis Damping

1984 ◽  
Vol 51 (1) ◽  
pp. 216-220 ◽  
Author(s):  
David Hui
Keyword(s):  
Large Amplitude ◽  
Plate Thickness ◽  
Rectangular Plates ◽  
Structural Damping ◽  
Geometric Imperfections ◽  
Geometric Imperfection ◽  
Forcing Function ◽  
Initial Geometric Imperfections ◽  
Spatial Shape ◽  
Large Amplitude Vibrations

The present paper deals with the effects of initial geometric imperfections on large-amplitude vibrations of simply supported rectangular plates. The vibration mode, the geometric imperfection, and the forcing function are taken to be of the same spatial shape. It is found that geometric imperfections of the order of a fraction of the plate thickness may significantly raise the free linear vibration frequencies. Furthermore, contrary to the commonly accepted theory that large-amplitude vibrations of plates are of the hardening type, the presence of small geometric imperfections may cause the plate to exhibit a soft-spring behavior. The effects of hysteresis (structural) damping on the vibration amplitude are also examined.

A nonlinear model of thick shells for large-amplitude vibrations

2021 ◽  
Vol 130 ◽  
pp. 103668
Author(s):  
Hamid Reza Moghaddasi ◽  
Mojtaba Azhari ◽  
Mohammad Mehdi Saadatpour ◽  
Saeid Sarrami-Foroushani
Keyword(s):  
Nonlinear Model ◽  
Large Amplitude ◽  
Large Amplitude Vibrations ◽  
Thick Shells

On the energy extraction from large amplitude vibrations of MEMS-based piezoelectric harvesters

2017 ◽  
Vol 228 (10) ◽  
pp. 3445-3468 ◽  
Author(s):  
Abdolreza Pasharavesh ◽  
M. T. Ahmadian ◽  
H. Zohoor
Keyword(s):  
Large Amplitude ◽  
Energy Extraction ◽  
Large Amplitude Vibrations
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