TY - JOUR
T1 - Free Vibration of a Timoshenko Beam with Arbitrary Nonuniformities, Discontinuities and Constraints
AU - Sinha, Alok
N1 - Publisher Copyright:
© 2022, Krishtel eMaging Solutions Private Limited.
PY - 2023/7
Y1 - 2023/7
N2 - Natural frequencies and mode shapes of a Timoshenko beam with arbitrary non-uniformities, discontinuities, discrete spring/mass constraints and boundary conditions are computed by developing a new method based on the state transition matrix for spatially varying state equations. Algorithms to treat discontinuities in material and geometrical properties and discontinuities due to discrete spring constraints are clearly presented. Equations for natural frequencies and mode shapes are derived for following boundary conditions: clamped-free, attached springs/masses at both ends and pinned–pinned. Numerical results are presented and compared to those in the existing literature.
AB - Natural frequencies and mode shapes of a Timoshenko beam with arbitrary non-uniformities, discontinuities, discrete spring/mass constraints and boundary conditions are computed by developing a new method based on the state transition matrix for spatially varying state equations. Algorithms to treat discontinuities in material and geometrical properties and discontinuities due to discrete spring constraints are clearly presented. Equations for natural frequencies and mode shapes are derived for following boundary conditions: clamped-free, attached springs/masses at both ends and pinned–pinned. Numerical results are presented and compared to those in the existing literature.
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U2 - 10.1007/s42417-022-00690-x
DO - 10.1007/s42417-022-00690-x
M3 - Article
AN - SCOPUS:85138345099
SN - 2523-3920
VL - 11
SP - 2099
EP - 2108
JO - Journal of Vibration Engineering and Technologies
JF - Journal of Vibration Engineering and Technologies
IS - 5
ER -