Invariant sets and symmetric periodic motions of reversible mechanical systems

1996 ◽  
Vol 60 (6) ◽  
pp. 941-952 ◽  
Author(s):  
V.N. Tkhai
Keyword(s):  
Mechanical Systems ◽  
Invariant Sets ◽  
Periodic Motions

scholarly journals A Modeling of Unsteady Aerodynamic Forces Based on the Aerodynamic Analyses around a Simplified Car Model in Periodic Motions(Mechanical Systems)

2010 ◽  
Vol 76 (768) ◽  
pp. 2006-2015 ◽  
Author(s):  
Mitsuyoshi KAWAKAMI ◽  
Norikazu SATO ◽  
Peter ASCHWANDEN ◽  
Yoshihiro KATO ◽  
Masaki NAKAGAWA ◽  
...  
Keyword(s):  
Mechanical Systems ◽  
Periodic Motions ◽  
Aerodynamic Forces ◽  
Car Model ◽  
Unsteady Aerodynamic

On generating pre-defined periodic motions in underactuated mechanical systems: the cart-pendulum example*

2011 ◽  
Vol 44 (1) ◽  
pp. 4588-4593 ◽  
Author(s):  
Leonid Freidovich ◽  
Francisco Gordillo ◽  
Anton Shiriaev ◽  
Fabio Gómez-Estern
Keyword(s):  
Mechanical Systems ◽  
Periodic Motions ◽  
Underactuated Mechanical Systems

Nonlinear Phase-Based Oscillator to Generate and Assist Periodic Motions

2016 ◽  
Author(s):  
Juan De la Fuente ◽  
Thomas G. Sugar ◽  
Sangram Redkar ◽  
Andrew R. Bates
Keyword(s):  
Phase Angle ◽  
Nonlinear Oscillator ◽  
Mechanical Systems ◽  
Oscillatory Behavior ◽  
Periodic Motions ◽  
Nonlinear Phase ◽  
Forcing Function ◽  
Hip Motion ◽  
The Stability ◽  
Bendixson Criterion

Oscillatory behavior is important for tasks such as walking and running. We are developing methods to add energy to enhance or vary the oscillatory behavior based on the system’s phase angle. We define a nonlinear oscillator using a forcing function based on the sine and cosine of the system’s phase angle that can modulate the amplitude and frequency of oscillation. The stability of the system is proved using the Poincaré-Bendixson criterion. Linear and rotational mechanical systems are simulated using our phase controller. The method is implemented and tested to control a pendulum. Lastly, we propose how to assist hip motion during walking using the phase-based forcing function.

scholarly journals A harmonic balance approach for designing compliant mechanical systems with nonlinear periodic motions

2020 ◽  
Vol 39 (6) ◽  
pp. 1-14
Author(s):  
Pengbin Tang ◽  
Jonas Zehnder ◽  
Stelian Coros ◽  
Bernhard Thomaszewski
Keyword(s):  
Harmonic Balance ◽  
Mechanical Systems ◽  
Periodic Motions ◽  
Balance Approach
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