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• W73985004 endingPage "150" @default.
• W73985004 startingPage "137" @default.
• W73985004 abstract "For the inverse vibration problem, a Lie-group shooting method is proposed to simul- taneously estimate the time-dependent damping and stiffness functions by using two sets of dis- placement as inputs. First, we transform these two ODEs into two parabolic type PDEs. Sec- ond, we formulate the inverse vibration problem as a multi-dimensional two-point boundary value problem with unknown coefficients, allowing us to develop the Lie-group shooting method. For the semi-discretizations of PDEs we thus obtain two coupled sets of linear algebraic equations, from which the estimation of damping and stiff- ness coefficients can be writtenoutexplicitly. The present approach is very interesting,which result- ing to closed-form estimating equations without needing of any iteration and initial guess of co- efficient functions, and more importantly, it does not requireto assumea priori thefunctionalforms of unknown coefficients. The estimated results are rather accurate convicing that the new method can be employed in the vibrational engineering to identify viscoelastic property of time-aging mate-" @default.
• W73985004 created "2016-06-24" @default.
• W73985004 creator A5090276712 @default.
• W73985004 date "2008-04-01" @default.
• W73985004 modified "2023-09-27" @default.
• W73985004 title "A Lie-Group Shooting Method for Simultaneously Estimating the Time-Dependent Damping and Stiffness Coefficients" @default.
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• W73985004 doi "https://doi.org/10.3970/cmes.2008.027.137" @default.
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