Utilizing nonlinear phenomena to locate grazing in the constrained motion of a cantilever beam. (English) Zbl 1176.74084
Summary: Grazing behavior in soft impact dynamics of a harmonically based excited flexible cantilever beam is investigated. Numerical and experimental methods are employed to study the dynamic behavior of macro- and micro-scale cantilever beam-impactor systems. For off-resonance excitation at two and a half times the fundamental frequency, the response of the oscillating cantilever experiences period doubling as the separation distance or clearance between the beam axis and the contact surface is decreased. The nonlinear phenomenon is studied by using phase portraits, Poincaré sections, and spectral analysis. Motivated by atomic force microscopy, this general dynamic behavior is studied as a means to locating the separation distance corresponding to grazing where the contact force is minimized.
MSC:
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74M20 | Impact in solid mechanics |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 74-05 | Experimental work for problems pertaining to mechanics of deformable solids |
Software:
AUTO-86References:
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