INSTABILITY OF A CLAMPED-ELASTICALLY RESTRAINED TIMOSHENKO COLUMN CARRYING A TIP LOAD, SUBJECTED TO A FOLLOWER FORCE

1996 ◽  
Vol 194 (4) ◽  
pp. 623-630 ◽  
Author(s):  
K. Sato
Keyword(s):  
Follower Force ◽  
Timoshenko Column ◽  
Elastically Restrained

Static instability of an elastically restrained cantilever under a partial follower force

AIAA Journal ◽  
1985 ◽  
Vol 23 (10) ◽  
pp. 1637-1639 ◽  
Author(s):  
Lech Tomski ◽  
Jacek Przybylski
Keyword(s):  
Follower Force ◽  
Static Instability ◽  
Elastically Restrained

ACTIVE CONTROL OF AN FGM BEAM UNDER FOLLOWER FORCE WITH PIEZOELECTRIC SENSORS/ACTUATORS

2014 ◽  
Vol 14 (02) ◽  
pp. 1350063 ◽  
Author(s):  
VAHID AZADI ◽  
MOHAMMAD AZADI ◽  
S. AHMAD FAZELZADEH ◽  
EMAD AZADI
Keyword(s):  
Volume Fraction ◽  
Functionally Graded ◽  
Follower Force ◽  
Generalized Function ◽  
Power Law Distribution ◽  
Lumped Mass ◽  
Sensors And Actuators ◽  
Generalized Function Theory ◽  
Graded Material ◽  
Elastically Restrained

In this paper, an active controller is used to suppress the flutter vibration of a beam. The beam is made of Functionally Graded Material (FGM) and subjected to a follower force and arbitrary lumped mass. The properties of the FGM layer are functionally graded in the thickness direction according to the volume fraction power law distribution. The piezoelectric layers, which are attached to both sides of the beam, are used as sensors and actuators. The beam is fixed from one end and elastically restrained by a spring at the other end. To investigate the effect of the controller on the vibration response of the beam, parameters such as the follower force, spring stiffness, mass ratio and attachment location are included in the analysis based on the generalized function theory and Lagrange–Rayleigh–Ritz technique. The vibration responses of the system are presented in the simulation results, where excellent agreement of the controller scheme is observed.

BUCKLING AND FLUTTER OF A COLUMN ENHANCED BY PIEZOELECTRIC LAYERS AND LUMPED MASS UNDER A FOLLOWER FORCE

2010 ◽  
Vol 10 (05) ◽  
pp. 1083-1097 ◽  
Author(s):  
S. A. FAZELZADEH ◽  
M. EGHTESAD ◽  
M. AZADI
Keyword(s):  
Function Theory ◽  
Follower Force ◽  
Design Parameters ◽  
Generalized Function ◽  
Spring Stiffness ◽  
Mass Ratio ◽  
Lumped Mass ◽  
Generalized Function Theory ◽  
Piezoelectric Layers ◽  
Elastically Restrained

In this paper, enhancement of the buckling and flutter capacities of a column by the attachment of an arbitrary lumped mass and a pair of piezoelectric layers on the column sides are studied. The column is subjected to a follower force, with one end fixed and the other end elastically restrained by a spring. To investigate the effects of the piezoelectric layers on the column instability capacity and frequency, parameters such as the follower force, spring stiffness, and mass ratio and attachment location are included in the analysis based on the generalized function theory and Lagrange–Rayleigh–Ritz technique. The numerical results reveal that if each of the design parameters of the piezoelectric layers, follower force, spring stiffness, or external mass exceeds a certain critical value, the column will undergo buckling and flutter instabilities. Besides, comparisons are made with available results in the literature and excellent agreement is observed.

Dynamic stiffness for piecewise non‐uniform Timoshenko column by power series—part II: Follower force

2001 ◽  
Vol 51 (5) ◽  
pp. 531-552 ◽  
Author(s):  
A. Y. T. Leung ◽  
W. E. Zhou ◽  
C. W. Lim ◽  
R. K. K. Yuen ◽  
U. Lee
Keyword(s):  
Power Series ◽  
Dynamic Stiffness ◽  
Follower Force ◽  
Timoshenko Column

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
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