Active control of large amplitude vibrations of smart magneto–electro–elastic doubly curved shells

2014 ◽  
Vol 10 (4) ◽  
pp. 351-378 ◽  
Author(s):  
S. C. Kattimani ◽  
M. C. Ray
Keyword(s):  
Active Control ◽  
Large Amplitude ◽  
Doubly Curved Shells ◽  
Large Amplitude Vibrations ◽  
Doubly Curved

scholarly journals Universally bistable shells with nonzero Gaussian curvature for two-way transition waves

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Nikolaos Vasios ◽  
Bolei Deng ◽  
Benjamin Gorissen ◽  
Katia Bertoldi
Keyword(s):  
Gaussian Curvature ◽  
Energy Landscape ◽  
Propagation Distance ◽  
Energy Landscapes ◽  
Bending Energy ◽  
Nonlinear Dynamic Response ◽  
One Dimensional ◽  
Doubly Curved Shells ◽  
Doubly Curved ◽  
The Waves

AbstractMulti-welled energy landscapes arising in shells with nonzero Gaussian curvature typically fade away as their thickness becomes larger because of the increased bending energy required for inversion. Motivated by this limitation, we propose a strategy to realize doubly curved shells that are bistable for any thickness. We then study the nonlinear dynamic response of one-dimensional (1D) arrays of our universally bistable shells when coupled by compressible fluid cavities. We find that the system supports the propagation of bidirectional transition waves whose characteristics can be tuned by varying both geometric parameters as well as the amount of energy supplied to initiate the waves. However, since our bistable shells have equal energy minima, the distance traveled by such waves is limited by dissipation. To overcome this limitation, we identify a strategy to realize thick bistable shells with tunable energy landscape and show that their strategic placement within the 1D array can extend the propagation distance of the supported bidirectional transition waves.

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
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