Physics
Scientific paper
Mar 2012
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012aps..aprt14002b&link_type=abstract
American Physical Society, APS April Meeting 2012, March 31-Apr 3, 2012, abstract #T14.002
Physics
Scientific paper
For many dynamic systems damping/dissipative forces (DDF) are important. These forces are generally modeled in the equations of motion by terms linear in the ``velocity." An example is the standard damped, linear harmonic oscillator. However, for complex systems a broader range of functional forms is required for the associated DDF. If the fact that such systems only oscillate in a finite number of cycles is taken into account, then the leading term of the DDF is proportional to v^α, where α lies in the interval (0,1). We present preliminary experimental results, for a vibrating beam, implying that α˜0.9. To obtain this value we derive a theoretical relationship between the damping time and the ``initial amplitude" of the beam, a relationship which does not depend on knowing a priori the exact equations of motion. Our findings are relevant for the study and analysis of vibrations in carbon nano-tubes and graphene sheets.
Bullock Ray S.
Collins$$ Eugene W.
Mickens Ronald E.
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