![](/images/graphics-bg.png)
Nonlinear Vibration of an Elastic Soft String: Large Amplitude and Large Curvature
Joint Authors
Zhao, De-Min
Li, Shan-Peng
Zhang, Yun
Liu, Jian-Lin
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Mechanical nonlinear vibration of slender structures, such as beams, strings, rods, plates, and even shells occurs extensively in a variety of areas, spanning from aerospace, automobile, cranes, ships, offshore platforms, and bridges to MEMS/NEMS.
In the present study, the nonlinear vibration of an elastic string with large amplitude and large curvature has been systematically investigated.
Firstly, the mechanics model of the string undergoing strong geometric deformation is built based on the Hamilton principle.
The nonlinear mode shape function was used to discretize the partial differential equation into ordinary differential equation.
The modified complex normal form method (CNFM) and the finite difference scheme are used to calculate the critical parameters of the string vibration, including the time history diagram, configuration, total length, and fundamental frequency.
It is shown that the calculation results from these two methods are close, which are different with those from the linear equation model.
The numerical results are also validated by our experiment, and they take excellent agreement.
These analyses may be helpful to engineer some soft materials and can also provide insight into the design of elementary structures in sensors, actuators and resonators, etc.
American Psychological Association (APA)
Zhao, De-Min& Li, Shan-Peng& Zhang, Yun& Liu, Jian-Lin. 2018. Nonlinear Vibration of an Elastic Soft String: Large Amplitude and Large Curvature. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1209050
Modern Language Association (MLA)
Zhao, De-Min…[et al.]. Nonlinear Vibration of an Elastic Soft String: Large Amplitude and Large Curvature. Mathematical Problems in Engineering No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1209050
American Medical Association (AMA)
Zhao, De-Min& Li, Shan-Peng& Zhang, Yun& Liu, Jian-Lin. Nonlinear Vibration of an Elastic Soft String: Large Amplitude and Large Curvature. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1209050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209050