Stability Analysis of Cracked Beams with Subtangential Follower Force and Tip Mass

2009 ◽  
Vol 33 (12) ◽  
pp. 1410-1416
Author(s):  
In-Soo Son ◽  
Han-Ik Yoon ◽  
Tae-Woo No
Keyword(s):  
Stability Analysis ◽  
Follower Force ◽  
Tip Mass ◽  
Cracked Beams

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.

Dynamical Analysis of a Cantilever Column with a Tip Mass Subjected to Subtangential Follower Force

2013 ◽  
Vol 427-429 ◽  
pp. 346-349
Author(s):  
Yan Xia Xue ◽  
Zhen Chao Su
Keyword(s):  
Differential Equation ◽  
Boundary Conditions ◽  
Frequency Equation ◽  
Follower Force ◽  
Dynamical Analysis ◽  
Euler Beam ◽  
Tip Mass

Based on the theory of Bernoulli-Euler beam and d Alembert principle, the differential equation of a cantilever column with a tip mass subjected to a subtangential follower force is built, the solution of the differential equation under the specific boundary conditions is found, frequency equation is formed for computing the system frequencies, several cases of this system is investigated.

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