scholarly journals Chaotic Vibrations of a Clamped-Supported Beam with a Concentrated Mass Subjected to Static Axial Compression and Periodic Lateral Acceleration

2008 ◽  
Vol 2 (3) ◽  
pp. 762-773 ◽  
Author(s):  
Dai YANAGISAWA ◽  
Ken-ichi NAGAI ◽  
Shinichi MARUYAMA
Author(s):  
Kenji Okada ◽  
Ken-ichi Nagai ◽  
Shinichi Maruyama ◽  
Takao Yamaguchi

Experimental results are presented on effects of a concentrated mass on chaotic vibrations of a clamped circular plate. The plate has initial deformation due to initial deflection and initial in-plane compressive constraint at the boundary. The concentrated mass is attached on the center of the plate. Under periodic excitation, non-periodic responses with dynamic snap-through are generated on the plates. The responses are inspected by the Fourier spectrum, the Poincare´ projection, the maximum Lyapunov exponents and the principal component analysis. The non-periodic responses are found to be chaotic responses. The lowest mode of vibration shows the largest contribution ratio. When the concentrated mass is attached on the plate, the region of the response is shifted to the lower frequency. Furthermore, the width of the frequency region is decreased. The contribution ratio of the lowest mode slightly increases.


2008 ◽  
Vol 2008 (0) ◽  
pp. _110-1_-_110-6_
Author(s):  
Ken-ichi NAGAI ◽  
Kenji OKADA ◽  
Shinichi MARUYAMA ◽  
Takao YAMAGUCHI

2010 ◽  
Vol 2010 (0) ◽  
pp. _141-1_-_141-6_
Author(s):  
Kenji OKADA ◽  
Shinichi MARUYAMA ◽  
Ken-ichi Nagai ◽  
Takao YAMAGUCHI

1991 ◽  
Vol 113 (1) ◽  
pp. 138-142 ◽  
Author(s):  
J. C. Whitehead

A prototype high-speed steering stabilizer for automobiles applies transient steering torques so that the sum of natural steering restoring torque and the control torque is more nearly in phase with steer angle than the natural restoring torque alone. The resulting reduction in the phase lag from steer angle to restoring torque mitigates the steering weave mode. Since steering restoring torque is nearly proportional to vehicle lateral acceleration, weave controller circuitry could subtract instantaneous lateral acceleration from expected steady-state lateral acceleration calculated from steer angle and vehicle speed, and thence command a steering torque actuator depending on the difference signal. The prototype performs the same function using a concentrated mass on the lower steering wheel rim which is passively sensitive to both steer angle and lateral acceleration, thereby applying only transient steering torques in the desired manner at a vehicle speed of 30 m/s. The additional steering system inertia alone affects the weave mode, so a non-stabilizing configuration with the same mass distributed around the steering wheel rim is tested for direct comparison. The experimental data show a dramatic stabilization of weave for the configuration which applies control torque.


2010 ◽  
Vol 2010 (0) ◽  
pp. _244-1_-_244-6_
Author(s):  
Ken-ichi NAGAI ◽  
Shinichi MARUYAMA ◽  
Tatsuya INOUE ◽  
Takao YAMAGUCHI

2010 ◽  
Vol 2010.16 (0) ◽  
pp. 187-188
Author(s):  
Ken-ichi NAGAI ◽  
Shinichi MARUYAMA ◽  
Kouki HASEGAWA ◽  
Takao YAMAGUCHI

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