TY - JOUR
T1 - Parameter sensitivity of cantilever beam with tip mass to parametric excitation
AU - Meesala, Vamsi C.
AU - Hajj, Muhammad R.
N1 - Publisher Copyright:
© 2019, Springer Nature B.V.
PY - 2019/3/1
Y1 - 2019/3/1
N2 - The sensitivity of the response of a parametrically excited cantilever beam with a tip mass to small variations in elasticity (stiffness) and the tip mass is performed. The governing equation of the first mode is derived, and method of multiple scales is used to determine the approximate solution based on the order of the expected variations. We demonstrate that the system can be designed so that small variations in either stiffness or tip mass can alter the type of bifurcation. Notably, we show that the response of a system designed for a supercritical bifurcation can change to yield a subcritical bifurcation with small variations in the parameters. Although such a trend is usually undesired, we argue that it can be used to detect small variations induced by fatigue or small mass depositions in sensing applications.
AB - The sensitivity of the response of a parametrically excited cantilever beam with a tip mass to small variations in elasticity (stiffness) and the tip mass is performed. The governing equation of the first mode is derived, and method of multiple scales is used to determine the approximate solution based on the order of the expected variations. We demonstrate that the system can be designed so that small variations in either stiffness or tip mass can alter the type of bifurcation. Notably, we show that the response of a system designed for a supercritical bifurcation can change to yield a subcritical bifurcation with small variations in the parameters. Although such a trend is usually undesired, we argue that it can be used to detect small variations induced by fatigue or small mass depositions in sensing applications.
KW - Cantilever beam-mass systems
KW - Damage detection
KW - Mass/gas sensing
KW - Parametric excitation
KW - Sensitivity analysis
KW - Uncertainty quantification
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U2 - 10.1007/s11071-019-04760-w
DO - 10.1007/s11071-019-04760-w
M3 - Article
AN - SCOPUS:85060038704
SN - 0924-090X
VL - 95
SP - 3375
EP - 3384
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
IS - 4
ER -