Since 1963
ARTICLE
Experimental study of the nonlinear dynamics of a smooth and discontinuous oscillator with different smoothness parameters and initial values
| 1 | Shijiazhuang Tiedao University, Shijiazhuang, China |
| 2 | State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang |
| 3 | Beijing Feb.7th Locomotive Industry Co., Ltd |
Submission date: 2018-06-24
Acceptance date: 2019-05-25
Online publication date: 2019-10-15
Publication date: 2019-10-15
Journal of Theoretical and Applied Mechanics 2019;57(4):935–946
KEYWORDS
SD oscillatorexperimental systemnonlinear dynamic characteristicinitial value sensitivitysmoothness parameters
ABSTRACT
The dynamic response of a nonlinear system is very sensitive to initial conditions. Both
the irrational nonlinearity and the large displacement of a smooth and discontinuous (SD)
oscillator have been studied in this paper. An experimental study has been conducted on
a model of the SD oscillator with different initial conditions and smoothness parameters.
Experimental results indicate that tiny variation in the initial displacement will lead to
different kinds of vibrations, and the system exhibits a wide range of nonlinear dynamical
phenomena with the change of smoothness parameters. All experimental results are in good
conformity with numerical simulation results.
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