کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
785187 1465404 2007 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcations and chaos in vibrating microcantilevers of tapping mode atomic force microscopy
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Bifurcations and chaos in vibrating microcantilevers of tapping mode atomic force microscopy
چکیده انگلیسی

We study the dynamics of a microcantilever in tapping mode atomic force microscopy when it is close to the sample surface and the van der Waals force has an important influence. Utilizing the averaging method, the extended version of the subharmonic Melnikov method and the homoclinic Melnikov method, we show that abundant bifurcation behavior and chaotic motions occur in vibrations of the microcantilever. In particular, in the subharmonic Melnikov analyses, a degenerate resonance is treated appropriately. Necessary computations for the subharmonic and homoclinic Melnikov methods are performed numerically. Numerical bifurcation analyses and numerical simulations are also given to demonstrate the theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 42, Issue 4, May 2007, Pages 658–672
نویسندگان
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