Effects of the molecular forces on the free vibration of electromechanical integrated electrostatic harmonic actuator

2013 ◽  
Vol 37 (2) ◽  
pp. 275-285 ◽  
Author(s):  
Lizhong Xu ◽  
Dan Zhao
Keyword(s):  
Free Vibration ◽  
Electromechanical Integrated ◽  
Molecular Forces

Internal Resonance Analysis for Electromechanical Integrated Toroidal Drive

2010 ◽  
Vol 5 (4) ◽  
Author(s):  
Xiuhong Hao Lizhong Xu
Keyword(s):  
Free Vibration ◽  
Internal Resonance ◽  
Energy Exchange ◽  
Forced Response ◽  
Drive System ◽  
Design Stage ◽  
Internal Resonances ◽  
Resonance Analysis ◽  
Electromechanical Integrated ◽  
Electromechanical Coupled

In this paper, the electromechanical coupled nonlinear equations for the electromechanical integrated toroidal drive are proposed. Using the equations, the free vibration and forced response under internal resonance are investigated. The effects of the drive parameters on the resonance are investigated. Three different resonance types exist for the different drive parameters. They are the normal resonance, internal resonance, and jump vibration between the normal and internal resonances. Compared with the normal resonance without internal resonance, the internal resonance has a large amplitude and the energy exchange occurs between the vibrations of the different components. The resonance types of the drive system are dependent on the electromechanical parameters of the drive system. In the design stage, one can select properly the electromechanical parameters of the drive system to remove the internal resonance and the jump vibration.

Molecular Forces and Self Assembly

2009 ◽  
Author(s):  
Barry W. Ninham ◽  
Pierandrea Lo Nostro
Keyword(s):  
Self Assembly ◽  
Molecular Forces

Using phase field and third-order shear deformation theory to study the effect of cracks on free vibration of rectangular plates with varying thickness

2020 ◽  
Vol 71 (7) ◽  
pp. 853-867
Author(s):  
Phuc Pham Minh
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Phase Field ◽  
Deformation Theory ◽  
Plate Thickness ◽  
Shear Deformation Theory ◽  
Rectangular Plates ◽  
Equilibrium Equations ◽  
Third Order ◽  
Free Vibration Frequency

The paper researches the free vibration of a rectangular plate with one or more cracks. The plate thickness varies along the x-axis with linear rules. Using Shi's third-order shear deformation theory and phase field theory to set up the equilibrium equations, which are solved by finite element methods. The frequency of free vibration plates is calculated and compared with the published articles, the agreement between the results is good. Then, the paper will examine the free vibration frequency of plate depending on the change of the plate thickness ratio, the length of cracks, the number of cracks, the location of cracks and different boundary conditions

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