Abstract
Stiffened plates are structural components consisting of plates reinforced by a system of ribs to enhance their load carrying capacities. The stiffened plates are often subjected to dynamic in-plane loads of varying magnitude and complexity. Cutouts in aerospace, civil, mechanical and marine structures are inevitable mainly for practical and design considerations. The applied load is seldom uniform and the boundary conditions may be completely arbitrary in practice. Stiffened plates subjected to dynamic in-plane loading may undergo unstable transverse vibrations for certain combinations of the values of the load parameters. The present paper deals with the dynamic instability analysis of eccentrically stiffened plates with cutout subjected to harmonic in-plane partial edge load using Bolotin’s method and Hill’s infinite determinants. Finite element formulation is applied to study the effects of different boundary conditions, aspect ratios, various parameters of stiffened plates, cutout size, various partial edge loading position and extent on excitation frequency parameters and principal instability regions. In the present analysis, the plate is modeled with the nine nodded isoparametric quadratic element with five degrees of freedom, where the contributions of bending and membrane actions are taken into account. Stiffened plates with cutout are more pronounced in comparison to the unstiffened plates. The onset of instability occurs with lower excitation frequencies for small cutout. The width of instability region increases with the increase of cutout size for both simply supported and clamped edge conditions.
Keywords
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Prabhakara DL, Datta PK (1994) Parametric instability characteristic of rectangular plates with localized damage subjected to in-plane periodic load. Comput Struct 49:825–836
Deolasi PJ, Datta PK (1995) Parametric instability characteristic of rectangular plate subjected to localized edge loading. Comput Struct 54(1):73–82
Sahu SK, Datta PK (2001) Parametric instability of doubly curved panels subjected to non-uniform harmonic loading. J Sound Vib 240(1):117–129
Duffield RC, Willens N (1972) Parametric resonance of rectangular plates. J Appl Mech 39:217–226
Merrit RG, Willens N (1973) Parametric resonance of skew stiffened plates. J Appl Mech 40:439–444
Mermertas M, Belek HT (1991) Dynamic stability of radially stiffened annular plates. Comput Struct 40(3):651–657
Monahan IJ, Nemergut PJ, Maddux GE (1970) Natural frequencies and mode shapes of plates with interior cutouts. Shock Vib Bull 41:37–49
Ritchie D, Rhodes J (1975) Buckling and post-buckling behaviour of plates with holes. Aeronaut Q 24:281–296
Paramsivam P, Sridhar Rao JK (1969) Free vibration of rectangular plates of abruptly varying stiffnesses. Int J Mech Sci 11:885–895
Ali R, Atwal SJ (1980) Prediction of natural frequencies of rectangular plates with rectangular cutouts. Comput Struct 12:819–823
Hutt JM, Salam AE (1971) Dynamic stability of plates by finite elements. J Eng Mech Div ASCE, EM 3:879–899
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer India
About this paper
Cite this paper
Srivastava, A.K.L. (2015). Vibration and Dynamic Stability of Stiffened Plates with Cutout. In: Matsagar, V. (eds) Advances in Structural Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2190-6_9
Download citation
DOI: https://doi.org/10.1007/978-81-322-2190-6_9
Published:
Publisher Name: Springer, New Delhi
Print ISBN: 978-81-322-2189-0
Online ISBN: 978-81-322-2190-6
eBook Packages: EngineeringEngineering (R0)