scholarly journals Autoresonance in oscillating systems with combined excitation and weak dissipation

2021 ◽  
Vol 417 ◽  
pp. 132835
Author(s):  
Oskar A. Sultanov
2020 ◽  
Vol 18 (1) ◽  
pp. 1302-1316
Author(s):  
Guobing Fan ◽  
Zhifeng Yang

Abstract In this paper, we investigate the problem for optimal control of a viscous generalized \theta -type dispersive equation (VG \theta -type DE) with weak dissipation. First, we prove the existence and uniqueness of weak solution to the equation. Then, we present the optimal control of a VG \theta -type DE with weak dissipation under boundary condition and prove the existence of optimal solution to the problem.


Author(s):  
R. Hussein

Abstract This paper presents three analytic models for predictions or structural response of oscillating systems with Coulomb and viscous friction. Numeric results were obtained from the models and compared to demonstrate the effects of friction on vibration amplification.


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