Nonlinear vibration response of shear deformable FGM sandwich toroidal shell segments

Meccanica ◽  
2022 ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Pham Minh Vuong
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Response ◽  
Toroidal Shell ◽  
Shear Deformable

scholarly journals Nonlinear Vibration Response Measured at Umbo and Stapes in the Rabbit Middle ear

2015 ◽  
Vol 16 (5) ◽  
pp. 569-580 ◽  
Author(s):  
John Peacock ◽  
Rik Pintelon ◽  
Joris Dirckx
Keyword(s):  
Nonlinear Vibration ◽  
Middle Ear ◽  
Vibration Response

A Fractal Contact Friction Model and Nonlinear Vibration Response Studies of Loosely Assembled Blade With Dovetail Root

2016 ◽  
Author(s):  
Shangguan Bo ◽  
Yu Feilong ◽  
Duan Jingyao ◽  
Gao Song ◽  
Xiao Junfeng ◽  
...  
Keyword(s):  
Nonlinear Vibration ◽  
Fractal Geometry ◽  
Friction Model ◽  
Structure Design ◽  
Forced Response ◽  
Vibration Response ◽  
Contact Friction ◽  
Friction Contact ◽  
Stick Slip ◽  
Proposed Model

To investigate the friction damping effect of a loosely assembled blade with dovetail root, a fractal contact friction model is proposed to describe the friction force. In the proposed model, the friction contact interface is discretized to a series of friction contact pairs and each of them can experience stick, slip, or separate. Fractal geometry is used to simulate the topography of contact surfaces. The contact stiffness, which is related to the parameters of contact interfaces including normal load, roughness, Young’s modulus, and Poisson’s ratio, is calculated using Hertz contact theory and fractal geometry. The nonlinear vibration response of loosely assembled blade with dovetail root is predicted using the proposed model, the multiharmonic balance method and Newton iterative algorithm. The effect of centrifugal force, friction coefficient and exciting force on the forced response of a loosely assembled blade with dovetail root is studied. The numerical vibration responses are compared to the experimental results. It will verify the reliability of the numerical method and provide theoretical basis for structure design of the loosely assembled blade with dovetail root.

Nonlinear Vibrations in Contact Atomic Force Microscopy

2003 ◽  
Author(s):  
Joseph A. Turner
Keyword(s):  
Nonlinear Vibration ◽  
Multiple Scales ◽  
Contact Stiffness ◽  
Vibration Response ◽  
Hertzian Contact ◽  
Force Microscopy ◽  
Softening Behavior ◽  
Atomic Force ◽  
Frequency Relation ◽  
Frequency Curves

The nonlinear vibration response of an atomic force microscope cantilever in contact with a vibrating sample is investigated. The tip-sample contact is modeled using Hertzian contact mechanics. The method of multiple scales is used to analyze this problem in which it is assumed that the beam remains in contact with the moving surface at all times. The primary result from this analysis is the amplitude-frequency relation for the various flexural modes. The amplitude-frequency curves exhibit softening behavior as expected. The amount of softening is shown to depend on the linear contact stiffness as well as the specific mode. The modal sensitivity to nonlinearity is the result of the nonlinearity being restricted to a single position. The mode shape greatly affects the degree to which the nonlinearity influences the frequency response. The Hertzian restriction is then loosened slightly such that variations in nonlinear contact stiffness are examined. These results depend on the linear contact stiffness and mode number as well. The nonlinear vibration response is expected to provide new insight on the nonlinear tip mechanics present in these systems.

Nonlinear vibration response and bifurcation of circular cylindrical shells under traveling concentrated harmonic excitation

2013 ◽  
Vol 26 (3) ◽  
pp. 277-291 ◽  
Author(s):  
Yanqing Wang ◽  
Li Liang ◽  
Xinghui Guo ◽  
Jian Li ◽  
Jing Liu ◽  
...  
Keyword(s):  
Nonlinear Vibration ◽  
Cylindrical Shells ◽  
Harmonic Excitation ◽  
Vibration Response ◽  
Circular Cylindrical Shells
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