Vibration of a cantilever subjected to a tensile follower force.

AIAA Journal ◽  
1969 ◽  
Vol 7 (4) ◽  
pp. 741-742 ◽  
Author(s):  
J. M. ANDERSON ◽  
W. W. KING
Keyword(s):  
Follower Force

Dynamic stability of a free-free cylindrical shell under a follower force

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1070-1077
Author(s):  
Si-Hyoung Park ◽  
Ji-Hwan Kim
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Stability ◽  
Follower Force

Shape‐optimized Cantilevered Columns under a Rocket‐based Follower Force

2021 ◽  
pp. 201-227
Author(s):  
Yoshihiko Sugiyama ◽  
Mikael A. Langthjem ◽  
Kazuo Katayama
Keyword(s):  
Follower Force

Static Instability of a Restrained Cantilever Column with a Tip Mass Subjected to a Subtangential Follower Force

2013 ◽  
Vol 345 ◽  
pp. 341-344
Author(s):  
Zhen Chao Su ◽  
Yan Xia Xue
Keyword(s):  
Differential Equation ◽  
Mass Parameter ◽  
Follower Force ◽  
Force Parameter ◽  
Euler Beam ◽  
Numerical Computations ◽  
Divergence Instability ◽  
Static Instability ◽  
Tip Mass

Based on the theory of Bernoulli-Euler beam, the differential equation of a restrained cantilever column with a tip mass subjected to a subtangential follower force is constructed, the solution of the differential equation is found, and the existence of regions of divergence instability of the system is discussed. The influence of the follower force parameter η, the tip mass parameter β and an end elastic end support on the divergence instability of the column is investigated. Several numerical computations of some cases have completed.

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