Kinetics of lossy grazing impact oscillators

被引:33
作者
Hunt, JP [1 ]
Sarid, D [1 ]
机构
[1] Univ Arizona, Ctr Opt Sci, Tucson, AZ 85721 USA
关键词
D O I
10.1063/1.121510
中图分类号
O59 [应用物理学];
学科分类号
摘要
The equation of motion of a grazing impact oscillator is generalized to include compliant boundaries and impact energy dissipation, yielding the phase diagram, indentation and force. Good agreement with experimental results using tapping-mode atomic force microscopy is demonstrated. The relationship between phase and set-point amplitude is discussed in terms of the dissipation, showing that for a parameter space for which the system is highly nonlinear a chaotic response is possible. (C) 1998 American Institute of Physics.
引用
收藏
页码:2969 / 2971
页数:3
相关论文
共 18 条
[1]   How does a tip tap? [J].
Burnham, NA ;
Behrend, OP ;
Oulevey, F ;
Gremaud, G ;
Gallo, PJ ;
Gourdon, D ;
Dupas, E ;
Kulik, AJ ;
Pollock, HM ;
Briggs, GAD .
NANOTECHNOLOGY, 1997, 8 (02) :67-75
[2]   NUMERICAL SIMULATIONS OF A SCANNING FORCE MICROSCOPE WITH A LARGE-AMPLITUDE VIBRATING CANTILEVER [J].
CHEN, J ;
WORKMAN, RK ;
SARID, D ;
HOPER, R .
NANOTECHNOLOGY, 1994, 5 (04) :199-204
[3]  
CLEVELAND JP, IN PRESS APPL PHYS L
[4]   Generic behavior of grazing impact oscillators [J].
deWeger, J ;
Binks, D ;
Molenaar, J ;
vandeWater, W .
PHYSICAL REVIEW LETTERS, 1996, 76 (21) :3951-3954
[5]  
GRUGER D, 1997, ANN PYS, V5, P341
[6]   BIOMOLECULAR IMAGING WITH THE ATOMIC-FORCE MICROSCOPE [J].
HANSMA, HG ;
HOH, JH .
ANNUAL REVIEW OF BIOPHYSICS AND BIOMOLECULAR STRUCTURE, 1994, 23 :115-139
[7]   STABILIZATION OF AN IMPACT OSCILLATOR NEAR GRAZING-INCIDENCE OWING TO RESONANCE [J].
IVANOV, AP .
JOURNAL OF SOUND AND VIBRATION, 1993, 162 (03) :562-565
[8]   SURFACE ENERGY AND CONTACT OF ELASTIC SOLIDS [J].
JOHNSON, KL ;
KENDALL, K ;
ROBERTS, AD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1971, 324 (1558) :301-&
[9]   Phase imaging and stiffness in tapping-mode atomic force microscopy [J].
Magonov, SN ;
Elings, V ;
Whangbo, MH .
SURFACE SCIENCE, 1997, 375 (2-3) :L385-L391
[10]   Chemical force microscopy [J].
Noy, A ;
Vezenov, DV ;
Lieber, CM .
ANNUAL REVIEW OF MATERIALS SCIENCE, 1997, 27 :381-421