We perform an investigation on the vibration response of a simply supported plate buried in glass particles, focusing on the nonlinear dynamic behaviors of the plate. Various excitation strategies, including constant-amplitude variable-frequency sweep and constant-frequency variable-amplitude sweep are used during the testing process. We employ the analysis methods of power spectroscopy, phase diagramming, and Poincare mapping, which reveal many complicated nonlinear behaviors in the dynamic strain responses of an elastic plate in granular media, such as the jump phenomena, period-doubling bifurcation, and chaos. The results indicate that the added mass, damping, and stiffness effects of the granular medium on the plate are the source of the nonlinear dynamic behaviors in the oscillating plate. These nonlinear behaviors are related to the burial depth of the plate (the thickness of the granular layer above plate), force amplitude, and particle size. Smaller particles and a suitable burial depth cause more obvious jump and period-doubling bifurcation phenomena to occur. Jump phenomena show both soft and hard properties near various resonant frequencies. With an increase in the excitation frequency, the nonlinear added stiffness effect of the granular layer makes a transition from strong negative stiffness to weak positive stiffness.
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October 2018
Research-Article
Nonlinear Vibrations of Buried Rectangular Plate
Jian Li,
Jian Li
Department of Mechanics,
Northeastern University,
Shenyang 110819, China
e-mail: jianli@mail.neu.edu.cn
Northeastern University,
Shenyang 110819, China
e-mail: jianli@mail.neu.edu.cn
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Hongying Li
Hongying Li
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Guangyang Hong
Jian Li
Department of Mechanics,
Northeastern University,
Shenyang 110819, China
e-mail: jianli@mail.neu.edu.cn
Northeastern University,
Shenyang 110819, China
e-mail: jianli@mail.neu.edu.cn
Zhicong Luo
Hongying Li
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 20, 2017; final manuscript received February 22, 2018; published online April 20, 2018. Assoc. Editor: Alper Erturk.
J. Vib. Acoust. Oct 2018, 140(5): 051010 (7 pages)
Published Online: April 20, 2018
Article history
Received:
November 20, 2017
Revised:
February 22, 2018
Connected Content
A correction has been published:
Erratum: “Nonlinear Vibrations of Buried Rectangular Plate” [ASME J. Vib. Acoust., 2018, 140(5), p. 051010; DOI: 10.1115/1.4039538]
Citation
Hong, G., Li, J., Luo, Z., and Li, H. (April 20, 2018). "Nonlinear Vibrations of Buried Rectangular Plate." ASME. J. Vib. Acoust. October 2018; 140(5): 051010. https://doi.org/10.1115/1.4039538
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