The spherical pendulum

Author(s):  
Richard H. Cushman ◽  
Larry M. Bates
Keyword(s):  
2019 ◽  
Vol 55 (1) ◽  
pp. 015002
Author(s):  
T A Canassa ◽  
W P S Freitas ◽  
J V B Ferreira ◽  
A M B Goncalves

1969 ◽  
Vol 36 (3) ◽  
pp. 408-411 ◽  
Author(s):  
K. F. Johansen ◽  
T. R. Kane

Hamilton-Jacobi theory is used to obtain an approximate solution of the equations of motion of a spherical pendulum. By reference to this solution, the motion is then described in simple geometric terms.


1992 ◽  
Vol 114 (4) ◽  
pp. 728-731 ◽  
Author(s):  
D. E. Hill ◽  
J. R. Baumgarten

Spin-stabilized spacecraft with sloshing fluid stores are known to be a source of dynamic instability for certain spacecraft configurations. A time varying linear feedback control law was developed, using an equivalent spherical pendulum mechanical model of the fluid motion coupled to the main body dynamics, which stabilizes the highly nonlinear dynamic system within a large region of operation. The control law was also demonstrated to perform a pointing maneuver. A control design for a specific spacecraft is outlined and implemented by sensing only the main body angular rates and attitude.


Author(s):  
S. Garza ◽  
A. Ertas

Abstract An experimental investigation was performed to determine the dynamics of an inverted, impacting spherical pendulum with large deflection and vertical parametric forcing. The pendulum system was studied with nine different bob and two different base configurations, for twenty times the natural frequency at shaker powers of 0 to 125 mm-hz. It was found that sustained conical motions did not naturally occur. The spherical pendulum system was analyzed to determine under what conditions the onset of Type I and sustainable Type II responses occurred.


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