On the Eigenvalue Distribution for a Beam with Attached Masses
نویسندگان
چکیده
We study a mathematical model of hinged flexible beam with piezoelectric actuators and electromagnetic shaker in this paper. The is modelled as mass spring system attached to the beam. To analyze free vibrations mechanical system, we consider corresponding spectral problem for fourth-order differential operator interface conditions that characterize dynamics. characteristic equation studied analytically, asymptotic estimates eigenvalues are obtained. eigenvalue distribution also illustrated by numerical simulations under realistic choice parameters.
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ژورنال
عنوان ژورنال: SEMA SIMAI Springer series
سال: 2021
ISSN: ['2199-305X', '2199-3041']
DOI: https://doi.org/10.1007/978-3-030-61742-4_3