Invariant slow manifolds of an Atomic Force Microscope system under the Derjaguin-Muller-Toporov forces and a slow harmonic base motion

被引：2

作者：

Baghdadi, Sara ^{[1
]}

Lakrad, Faouzi ^{[1
]}

Belhaq, Mohamed ^{[1
]}

机构：

[1] Univ Hassan II Casablanca, Fac Sci Ain Chock, Lab Renewable Energy & Dynam Syst, Casablanca, Morocco

来源：

INTERNATIONAL CONFERENCE ON STRUCTURAL NONLINEAR DYNAMICS AND DIAGNOSIS (CSNDD 2018) | 2018年 / 241卷

关键词：

D O I：

10.1051/matecconf/201824101004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, we study the nonlinear vibrations of an AFM system, modeled as a linear massspring-damper system, under the Derjaguin-Muller-Toporov forces and subject to imposed slow harmonic base displacement. The invariant slow manifolds of the system are approximated and their bifurcations are investigated. Then, the charts of behaviors of the different operating modes of the AFM are determined. The dynamic saddle-node bifurcations of the contact and the noncontact invariant slow manifolds are found to be responsible for the occurrence of the tapping mode.

引用

页数：4

共 9 条

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