|Nonlinear dynamic response of beam and its application in nanomechanical resonator|
|Zhang Y(张吟); Liu Y; Murphy KD; Zhang, Y; Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
|Source Publication||ACTA MECHANICA SINICA
|Abstract||Nonlinear dynamic response of nanomechanical resonator is of very important characteristics in its application. Two categories of the tension-dominant and curvature-dominant nonlinearities are analyzed. The dynamic nonlinearity of four beam structures of nanomechanical resonator is quantitatively studied via a dimensional analysis approach. The dimensional analysis shows that for the nanomechanical resonator of tension-dominant nonlinearity, its dynamic nonlinearity decreases monotonically with increasing axial loading and increases monotonically with the increasing aspect ratio of length to thickness;the dynamic nonlinearity can only result in the hardening effects. However, for the nanomechanical resonator of the curvature-dominant nonlinearity, its dynamic nonlinearity is only dependent on axial loading. Compared with the tension-dominant nonlinearity, the curvature-dominant nonlinearity increases monotonically with increasing axial loading; its dynamic nonlinearity can result in both hardening and softening effects. The analysis on the dynamic nonlinearity can be very helpful to the tuning application of the nanomechanical resonator.|
|Funding Organization||The project was supported by the National Natural Science Foundation of China (10721202 and 11023001) and the Chinese Academy of Sciences (KJCX2-EW-L03).
|Corresponding Author||Zhang, Y; Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.|
Zhang Y,Liu Y,Murphy KD,et al. Nonlinear dynamic response of beam and its application in nanomechanical resonator[J]. ACTA MECHANICA SINICA,2012,28(1):190-200.
Zhang Y,Liu Y,Murphy KD,Zhang, Y,&Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China..(2012).Nonlinear dynamic response of beam and its application in nanomechanical resonator.ACTA MECHANICA SINICA,28(1),190-200.
Zhang Y,et al."Nonlinear dynamic response of beam and its application in nanomechanical resonator".ACTA MECHANICA SINICA 28.1(2012):190-200.
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