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Abstract
The parametric dynamic stability of an asymmetric, rotating sandwich beam and subjected to an axial pulsating load is investigated. A set of Hills equations are obtained from the non-dimensional equation of motion by the application of the general Galerkin method. The zones of parametric instability are obtained using Saito Otomi conditions. The influence of core-loss factor, geometric parameters and rotation parameters on the zones of instability are investigated.
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References
- Saito, H. and Otomi, K., "Parametric Response of Viscoelastically Supported Beams", Journal of Sound and Vibration, Vol.63, No. 2, 1979, pp. 169178.
- Bauer, H.F. and Eidel, W., "Vibration of Rotating Uniform Beam, Part-II : Orientation Perpendicular to the Axis of Rotation", Journal of Sound Vibration, Vol.122, 1988, p.357
- Abbas, B.A.H., "Vibration of Timoshenko Beams with Elasticity Restrained Ends", Journal of Sound and Vibration, Vol.97, 1984, p.541.
- Leipholz, H., "Stability Theory", Second Edition, John Wiley and Sons, Chichester.
- Abbas, B.A.H. and Thomas, J., "Dynamic Stability of Timishenko Beams Resting on an Elastic Foundation", Journal of Sound and Vibration, Vol.108, 1986, p.25.
- Hauchau, O.A. and Hong, C.H., "Nonlinear Response and Stability Analysis of Beams Using Finite Elements in Time", AIAA Journal 26, 1988, p.1135.
- Kar, R.C. and Sujata, T., "Dynamic Stability of a Rotating Beam with Various Boundary Conditions", Computers and Structures, Vol.40, 1991, p.753.
- Kar, R.C. and Sujata, T., "Dynamic Stability of a Rotating, Pretwisted and Proconed Cantilever Beam Including Coriolis Effects", Computers and Structures, Vol.42, 1992, p.741.
- Tan, T.H., Lee, H.P. and Leng, G.S.B., "Parametric Instability of Spinning Pretwisted Beams Subjected to Sinusoidal Compressive Axial Loads", Computers and Structures, Vol.66, 1998, p.745.
- Kerwin, E.M.Jr., "Damping of Flexural Waves by a Constrained Viscoelastic Layer", The Journal of the
- Acoustical Society of America, Vol.31, 1959, p.952.
- Ghosh Ranajay, Dharmvaram Sanjay, Ray Kumar, and Dash, P., "Dynamic Stability of a Viscoelasticity
- Supported Sandwich Beam", Structural Engineering and Mechanics, Vol.19, No. 5, 2005, pp.503-517.
References
Saito, H. and Otomi, K., "Parametric Response of Viscoelastically Supported Beams", Journal of Sound and Vibration, Vol.63, No. 2, 1979, pp. 169178.
Bauer, H.F. and Eidel, W., "Vibration of Rotating Uniform Beam, Part-II : Orientation Perpendicular to the Axis of Rotation", Journal of Sound Vibration, Vol.122, 1988, p.357
Abbas, B.A.H., "Vibration of Timoshenko Beams with Elasticity Restrained Ends", Journal of Sound and Vibration, Vol.97, 1984, p.541.
Leipholz, H., "Stability Theory", Second Edition, John Wiley and Sons, Chichester.
Abbas, B.A.H. and Thomas, J., "Dynamic Stability of Timishenko Beams Resting on an Elastic Foundation", Journal of Sound and Vibration, Vol.108, 1986, p.25.
Hauchau, O.A. and Hong, C.H., "Nonlinear Response and Stability Analysis of Beams Using Finite Elements in Time", AIAA Journal 26, 1988, p.1135.
Kar, R.C. and Sujata, T., "Dynamic Stability of a Rotating Beam with Various Boundary Conditions", Computers and Structures, Vol.40, 1991, p.753.
Kar, R.C. and Sujata, T., "Dynamic Stability of a Rotating, Pretwisted and Proconed Cantilever Beam Including Coriolis Effects", Computers and Structures, Vol.42, 1992, p.741.
Tan, T.H., Lee, H.P. and Leng, G.S.B., "Parametric Instability of Spinning Pretwisted Beams Subjected to Sinusoidal Compressive Axial Loads", Computers and Structures, Vol.66, 1998, p.745.
Kerwin, E.M.Jr., "Damping of Flexural Waves by a Constrained Viscoelastic Layer", The Journal of the
Acoustical Society of America, Vol.31, 1959, p.952.
Ghosh Ranajay, Dharmvaram Sanjay, Ray Kumar, and Dash, P., "Dynamic Stability of a Viscoelasticity
Supported Sandwich Beam", Structural Engineering and Mechanics, Vol.19, No. 5, 2005, pp.503-517.