Axisymmetric indentation of an elastic thin plate by a rigid sphere revisited

Author(s):  
Min Li ◽  
C.Q. Ru ◽  
Cun-Fa Gao
1975 ◽  
Vol 42 (1) ◽  
pp. 133-135 ◽  
Author(s):  
H. D. Fisher

This paper investigates the elastic impact of a sphere on a thin plate which is in continuous contact with a foundation. The reaction pressure is considered to be proportional to the local deflection (Winkler hypothesis). A solution technique, which was originally developed to analyze the impact of a rigid sphere on a viscoelastic plate, is modified for application in the present study. The contact force, the coefficient of restitution, and the contact time are computed for a wide variation in the two dimensionless parameters which are required to describe a given problem. For the limiting cases of impact on a half space and impact on a thin plate supported by a rigid foundation, the contact time computed here is shown to correlate with the calculations of earlier investigators.


GEODYNAMICS ◽  
2011 ◽  
Vol 2(11)2011 (2(11)) ◽  
pp. 315-316
Author(s):  
V. V. Furman ◽  
◽  
M. M. Khomiak ◽  

Thermal convection in Earth’s mantle are driving forces of plate tectonics. Combine model –viscous uncompressed mantle and thermo-elastic thin plate – is developed. The finite element approach in numerical modelling of geodynamical processes is presented.


2021 ◽  
Vol 33 (2) ◽  
pp. 400-409
Author(s):  
Daisuke Nakanishi ◽  
Shoya Kobayashi ◽  
Kiichi Obara ◽  
Shotaro Matsumura ◽  
Yuichiro Sueoka ◽  
...  

This study focuses on the high maneuverability of fish in water to design a fish-like robot via snap-through buckling. The aim of this study is to improve swimming speed by increasing the frequency at which snap-through buckling occurs. Here, we propose a novel drive mechanism using a triangular cam that can continuously generate snap-through buckling at a high frequency. In addition, we developed a fish-like robot via the proposed mechanism and analyzed the influence of the frequency of snap-through buckling on swimming speed. The results obtained indicate that swimming speed is improved and that the relationship between frequency and swimming speed exhibits a single peak. In other words, the swimming speed is reduced when the frequency is significantly increased. We also determined that swimming speed was improved using a wide elastic thin plate as the driving mechanism.


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