NUMERICAL APPROXIMATION OF THE SPECTRUM FOR A FLEXIBLE EULER-BERNOULLI BEAMS WITH A FORCE CONTROL IN POSITION AND VELOCITY

2021 ◽  
Vol 20 (2) ◽  
pp. 77-94
Author(s):  
Diop Fatou N ◽  
Kouassi A. A. Hermith ◽  
Touré K. Augustin ◽  
Koua B. Jean-Claude

Author(s):  
Fatou N. Diop ◽  
Hermith A. A. Kouassi ◽  
Augustin K. Toure ◽  
Jean-Claude B. Koua

In this paper, we use asymptotic techniques and the finite differences method to study the spectrum of the differential operator arising in the exponential stabilization of the following differential equation $y_{tt}+y_{xxxx}=0,$ $0<x<1,$ $t\geq 0$ with boundary conditions $y(0,t)=y_{x}(0,t)=0,t\geq 0,$\ $y_{xxx}(1,t)=0,t\geq 0,$\ $y_{xx}(1,t)=-\alpha y_{xt}(1,t)-\beta y_{x}(1,t),t\geq 0.$



2008 ◽  
Vol 35 (S 01) ◽  
Author(s):  
Y Li ◽  
J Randerath ◽  
G Goldenberg ◽  
J Hermsdörfer


2005 ◽  
Vol 32 (S 4) ◽  
Author(s):  
F Kirsten ◽  
S Bohlen ◽  
J Sommer ◽  
T Merl ◽  
P Saemann ◽  
...  


Author(s):  
K. Shibazaki ◽  
H. Nozaki

In this study, in order to improve steering stability during turning, we devised an inner and outer wheel driving force control system that is based on the steering angle and steering angular velocity, and verified its effectiveness via running tests. In the driving force control system based on steering angle, the inner wheel driving force is weakened in proportion to the steering angle during a turn, and the difference in driving force is applied to the inner and outer wheels by strengthening the outer wheel driving force. In the driving force control (based on steering angular velocity), the value obtained by multiplying the driving force constant and the steering angular velocity,  that differentiates the driver steering input during turning output as the driving force of the inner and outer wheels. By controlling the driving force of the inner and outer wheels, it reduces the maximum steering angle by 40 deg and it became possible to improve the cornering marginal performance and improve the steering stability at the J-turn. In the pylon slalom it reduces the maximum steering angle by 45 deg and it became possible to improve the responsiveness of the vehicle. Control by steering angle is effective during steady turning, while control by steering angular velocity is effective during sharp turning. The inner and outer wheel driving force control are expected to further improve steering stability.





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