[1] Frostig, Y., “Buckling of Sandwich Panels with Flexible Core-high Order Theory”,
International Journal of Solids and Structures, Vol. 35, pp. 183-204, (1998)
[2] Frostig, Y., and Thomsen, O.T., “Higher-order Free Vibration of Sandwich Panel with a
Flexible Core”, International Journal of Solid and Structures, Vol. 41, pp. 1697-1724,
(2004).
[3] Malekzadeh, K., Khalili, M.R., and Mittal, R.K., “Local and Global Damped Vibrations of
Plates with a Viscoelastic Soft Flexible Core: An Improved High-order Approach”,
Journal of Sandwich Structures and Materials, Vol. 7, pp. 431-456, (2005a).
[4] Rahmani, O., Khalili, S.M.R., Malekzadeh, K., and Hadavinia, H., “Free Vibration
Analysis of Sandwich Structures with a Flexible Functionally Graded Syntactic Core”,
Composite Structures, Vol. 91, pp. 229-235, (2009).
[5] Malekzadeh Fard, K., “Higher Order Free Vibration of Sandwich Curved Beams with a
Functionally Graded Core”, Structural Engineering and Mechanics, Vol. 49, No. 5, 537-
554, (2014).
[6] Khdeir, A.A., and Aldraihem, O.J., “Free Vibration of Sandwich Beams with Soft Core”,
Composite Structures, Vol. 154, pp. 179-189. doi:10.1016/j.compstruct.2016.07.045.
(2016).
[7] Burney, S.Z.H., and Jaeger, L.G., “A Method of Determining the Regions of Instability of
a Column by a Numerical Method Approach”, Journal of Sound and Vibration, Vol. 15,
No. 1, pp. 75-91, (1971).
[8] Iwatsubo, T., Sugiyama, Y., and Ishihara, K., “Stability and Non-stationary Vibration of
Columns under Periodic Loads”, Journal of Sound and Vibration, Vol. 23, No. 2, pp. 245-
257, (1972).
[9] Iwatsubo, T., Saigo, M., and Sugiyama, Y., “Parametric Instability of Clamped-clamped
and Clamped-simply Supported Columns under Periodic Axial Load”, Journal of Sound
and Vibration, Vol. 30, No. 1, pp. 65-77, (1973).
[10] Iwatsubo, T., Sugnama, Y., and Ogino, S., “Simple and Combination Resonances of
Columns under Periodic Axial Loads”, Journal of Sound and Vibration, Vol. 33, No. 2,
pp. 211-221, (1974).
[11] Kar, R.C., and Sujata, T., “Dynamic Stability of a Tapered Symmetric Sandwich Beam”,
Computers & Structures, Vol. 40, No. 6, pp. 1441-1449, (1991).
[12] Ray, K., and Kar, R.C., “Parametric Instability of a Sandwich Beam under Various
Boundary Conditions”, Comparers & Structures, Vol. 55, No. 5, pp. 857-870, (1995).
[13] Ray, K., and Kar, R.C., “Parametric Instability of a Symmetric Sandwich Beam with
Higher Order Effects”, Computers & Structures, Vol. 60, No. 5, pp. 817-824, (1996).
[14] Dwivedy, S.K., Sahu, K.C., and Babu, Sk., “Parametric Instability Regions of Threelayered
Soft-cored Sandwich Beam using Higher-order Theory”, Journal of Sound and
Vibration, Vol. 304, pp. 326-344, (2007).
[15] Dwivedy, S.K., Mahendra, N., and Sahu, K.C., “Parametric Instability Regions of a Soft
and Magnetorheological Elastomer Cored Sandwich Beam”, Journal of Sound and
Vibration, Vol. 325, pp. 686-704, (2009).
[16] Dwivedy, S.K., and Srinivas, M., “Dynamic Instability of MRE Embedded Soft Cored
Sandwich Beam with Non-conductive Skins”, Shock and Vibration, Vol. 18, pp. 759-
788, (2011).
[17] Song, Z., Li, W., and Liu, G.R., “Stability and Non-stationary Vibration Analysis of
Beams Subjected to Periodic Axial Forces using Discrete Singular Convolution”,
Structural Engineering & Mechanics, Vol. 44, No. 4, pp. 487-499, (2012).
[18] Huang, Y.Q., Lu, H.W., Fu, J.Y., Liu, A.R., and Gu, M., “Dynamic Stability of Euler
Beams under Axial Unsteady Wind Force”, Mathematical Problems in Engineering,
Article ID 434868, 12 pages, (2014).
[19] Sahoo, Sh., Sahu, N.Ch., and Nayak, B., “Parametric Instability Regions of a MRE
Cored Sandwich Beam Subjected to Periodic Axial Load”, Int. J. of Multidisciplinary
and Current Research, 2:2321-3124 March /April, (2014).
[20] Smyczynski, M.J., and Magnucka-Blandzi, E., “Static and Dynamic Stability of an
Axially Compressed Five-layer Sandwich Beam”, Thin-Walled Structures, Vol. 90, pp.
23-30, (2015).
[21] Sahoo, R., and Singh, B.N., “Dynamic Instability of Laminated-composite and Sandwich
Plates using a New Inverse Trigonometric Zigzag Theory”, Journal of Vibration and
Acoustics, Vol. 137, 061001-1, (2015).
[22] Dash, P.R., Pradhan, M., and Bisoi, A., “Parametric Instability of an Asymmetric
Sandwich Beam with Thermal Gradient under Various Boundary Conditions by
Computational Method”, Procedia Engineering, Vol. 144, pp. 900-907, (2016).
[23] Kumar, V., Sinha, P.K., Darbari, A.S., and Singh, S.K., “Study and Analysis of
Sandwich Beam with Graded Material for Dynamic Stability and Free Vibration”,
International Journal of Information Research and Review, Vol. 03, No. 1, pp. 1762-
1768, (2016).
[24] Ahuja, R., and Duffieled, R.C., “Parametric Instability of Variable Cross-section Beams
Resting on an Elastic Foundation”, Journal of Sound and Vibration, Vol. 39, No. 2, pp.
159-174, (1975).
[25] Doyle, P.F., and Pavlovic, M.N., “Vibration of Beams on Partial Elastic Foundation”,
Eartgquake Engineering and Structural Dynamics, Vol. 10, pp. 663-674, (1982).
[26] Eisenberger, M., Yankelevsky, Z., and Clastqrnik, J., “Stability of Beams on Elastic
Foundation”, Computers & Structures, Vol. 24, No. 1, pp. 135-139, (1986).
[27] Yokoyama, T., “Parametric Instability of Timoshenko Beams Resting on an Elastic
Foundation”, Computers & Structures, Vol. 28, No. 2, pp. 207-216, (1988).
[28] Omidi, N., Khorramabadi, M.K., and Niknejad, A., “Dynamic Stability of Functionally
Graded Beams with Piezoelectric Layers Located on a Continuous Elastic Foundation”,
Journal of Solid Mechanics, Vol. 1, No. 2, pp. 130-136, (2009).
[29] Pradhan, S.C., and Murmu, T., “Thermo-mechanical Vibration of FGM Sandwich Beam
under Variable Elastic Foundations using Differential Quadrature Method”, Journal of
Sound and Vibration Vol. 321, pp. 342-362, (2009).
[30] Tornabene, F., Fantuzzi, N., Viola, E., and Reddy, J.N., “Winkler–Pasternak Foundation
Effect on the Static and Dynamic Analyses of Laminated Doubly-Curved and
Degenerate Shells and Panels”, Composites Part B: Engineering, Vol. 57, pp. 269-296,
(2014).
[31] Pourasghar, A., and Chen, Z., “Thermoelastic Response of CNT Reinforced Cylindrical
Panel Resting on Elastic Foundation using Theory of Elasticity”, Composites Part B:
Engineering, Vol. 99, pp. 436-444, (2016).
[32] Moradi-Dastjerdi, R., and Momeni-Khabisi, H., “Vibrational Behavior of Sandwich
Plates with Functionally Graded Wavy Carbon Nanotube-reinforced Face Sheets Resting
on Pasternak Elastic Foundation”, JVC/Journal of Vibration and Control, Vol. 24, No.
11, pp. 2327-2343, (2018).
[33] Akour, S.N., “Dynamics of Nonlinear Beam on Elastic Foundation”, Proceedings of the
World Congress on Engineering, Vol. II, London, U.K, (2010).
[34] Mohanty, S.C., Dash, R.R., and Rout, T., “Parametric Instability of a Functionally
Graded Timoshenko Beam on Winkler’s Elastic Foundation”, Nuclear Engineering and
Design, Vol. 241, pp. 2698-2715, (2011).
[35] Bose, S., Chugh, P., and Gupta, A., “Effect of Elastic Foundation & Damping on
Parametric Instability of Beams”, Int. Conf. on Structural and Civil Engineering,
Bangalore, India, 3-4 August, (2012).
[36] Arefi, M., “Nonlinear Analysis of a Functionally Graded Beam Resting on the Elastic
Nonlinear Foundation”, Journal of Theoretical and Applied Mechanics, Sofia, Vol. 44,
No. 2, pp. 71-82, (2014).
[37] Pradhan, M., and Dash, P.R., “Stability of an Asymmetric Tapered Sandwich Beam
Resting on a Variable Pasternak Foundation Subjected to a Pulsating Axial Load with
Thermal Gradient”, Composite Structures, Vol. 140, pp. 816-834, (2016).
[38] Pradhan, M., Mishra, M.K., and Dash, P.R., “Free Vibration Analysis of an Asymmetric
Sandwich Beam Resting on a Variable Pasternak Foundation”, Procedia Engineering,
Vol. 144, pp. 116-123, (2016).
[39] Sirati, D., Hayati, M., and Askari, M., “Static Analysis of Sandwich Beams with FGM
Core Resting on Elastic Foundation”, Journal of Automotive and Applied Mechanics,
Vol. 4, No. 1, pp. 24-30, (2016).
[40] Tossapanon, P., and Wattanasakulpong, N., “Stability and Free Vibration of Functionally
Graded Sandwich Beams Resting on Two-parameter Elastic Foundation”, Composite
Structures, Vol. 142, pp. 215-225, (2016).
[41] Bolotin, V.V., “The Dynamic Stability of Elastic Systems”, Holden-Day, San Francisco,
(1964).
[42] Reddy, N.R., “Theory and Analysis of Elastic Plate and Shells”, Second Edition,
London, Taylor & Francis, pp. 547, (2007).
[43] Reddy, J.N., “Mechanics of Laminated Composite Plates and Shells”, Theory and
Analysis, 2nd Edition, CRC Press, New York, (2004).
)
