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238 REFERENCES 1. Timoshenko, S.P., and Gere, J.M., Theory of Elastic Stability, McGraw- Hill, Tokyo, 1961 2. Column Research Committee of Japan, Handbook of Structural Stability, Corona, Tokyo, Japan, 1971. 3. Thompson, J.M.T., and Hunt, G.W., A General Theory of Elastic Stability, Wiley, London, 1973. 4. Dym, C.L., Stability Theory and its Applications to Structural Mechanics, Noordhoff International Publishing, Leyden, The Netherlands, 1974. 5. Shastry, B.P and Rao, G.V., “Stability of columns subjected to an intermediate concentrated”, Computers & Structures, Vol.24, No.4, 1986, pp.525-528. 6. Subramanian, R and Rao, G.V., “Stability of columns subjected to an intermediate concentrated load with one end elastically restrained to move axially”, Computers & Structures, Vol.25, No.1, 1987, pp.105-107. 7. Shastry, B.P and Rao, G.V, “Stability of columns subjected to a concentrated load with ends restrained to move axially”, Computers & Structures, Vol.25, No.2, 1987, pp.299-301. 8. Rao, G.V and Subramanian, R., “Stability of columns subjected to a uniformly distributed load with one end elastically restrained to

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REFERENCES

1. Timoshenko, S.P., and Gere, J.M., Theory of Elastic Stability,

McGraw- Hill, Tokyo, 1961

2. Column Research Committee of Japan, Handbook of Structural

Stability, Corona, Tokyo, Japan, 1971.

3. Thompson, J.M.T., and Hunt, G.W., A General Theory of

Elastic Stability, Wiley, London, 1973.

4. Dym, C.L., Stability Theory and its Applications to Structural

Mechanics, Noordhoff International Publishing, Leyden, The

Netherlands, 1974.

5. Shastry, B.P and Rao, G.V., “Stability of columns subjected to an

intermediate concentrated”, Computers & Structures, Vol.24, No.4,

1986, pp.525-528.

6. Subramanian, R and Rao, G.V., “Stability of columns subjected to

an intermediate concentrated load with one end elastically

restrained to move axially”, Computers & Structures, Vol.25, No.1,

1987, pp.105-107.

7. Shastry, B.P and Rao, G.V, “Stability of columns subjected to a

concentrated load with ends restrained to move axially”,

Computers & Structures, Vol.25, No.2, 1987, pp.299-301.

8. Rao, G.V and Subramanian, R., “Stability of columns subjected to

a uniformly distributed load with one end elastically restrained to

239

move axially”, Computers & Structures, Vol.31, No.6, 1989,

pp.1051-1055.

9. Raju, K.K and Rao, G.V, “Vibration, stability and frequency –Axial

load relation of short beam”, Journal of sound and vibration,

Vol.95, 1984, pp.426-429.

10. Shastry, B.P and Rao, G.V, “Free vibration of short beam” Journal

of sound and vibration, Vol.100, No.2, 1985, pp.305-308.

11. Shastry, B.P and Rao, G.V, “Free vibrations of short cantilever

columns subjected to axial compressive loads”, Journal of sound

and vibration, Vol.99, No.3, 1985, pp.449-451.

12. Beliaev, N.M., “Stability of prismatic rods subjected to variable

longitudinal forces”, Engineering communications and structural

mechanics, 1924, 1924, pp.149-167.

13. Raju, K.K and Rao, G.V, “Accurate closed form solutions for the

stability parameter of short uniform columns subjected to axial

distributed compressive loads” Journal of Aeronautical Society of

India, Vol.53, No.1, 2001, pp.13-20.

14. Bokaian, A., “Natural frequencies of beams under compressive

axial loads”, Journal of Sound and Vibration, Vol.26, No.1, 1988,

pp.49-65.

15. Rao, G.V., and Naidu, N.R., “Prediction of Fundamental

Frequencies of Stressed Spring Hinged Tapered Beams, AIAA J,

Vol. 39, No.1, 2000, pp.186-188.

240

16. Rao, G.V., and Neetha, R., “A formula to predict the fundamental

frequency of short tapered beam columns, Journal of Structural

Engineering (CSIR), Vol. 29, No.3, 2002,pp.177-179.

17. Bolotin, V.V., Dynamic Stability of Elastic Systems. Holden-Day,

San Francisco, 1964.

18. Brown, J.E., Hutt J.M., and Salama, A.E., “Finite Element

Solution to dynamic stability of Bars”, AIAA J, Vol.6, No.1, 1968,

pp.1423-1425.

19. Shastry, B.P., and Rao, G.V., “Dynamic Stability of Short

Cantilever Columns Subjected to Distributed Axial Loads”,

Computers and Structures, Vol. 22, No.6, 1986, pp.1063-1064.

20. Shastry, B.P., and Rao, G.V., “Stability Boundaries of Short

Cantilever Columns Subjected to an Intermediate Periodic

Concentrated Axial Load”, Journal of Sound and Vibration,

Vol.118, No.1, 1987, pp. 181-185.

21. Shastry, B.P and Rao, G.V., “ Dynamic stability of bars

considering Shear deformation and rotatory inertia”, Computers

and Structures, Vol.19, 1984, pp.823-827

22. Shastry, B.P and Rao, G.V., “Dynamic stability of columns with

two symmetrically placed intermediate supports”, Journal of Sound

and Vibration, Vol.104, 1986, pp.524- 527.

241

23. Shastry, B.P and Rao, G.V., “Dynamic Stability of a cantilever

column with an intermediate concentrated periodic load”, Journal

of sound and vibration, Vol.113, No.1, 1987, pp.194-197.

24. Shastry, B.P. and Rao, G.V., “Stability boundaries of a short

cantilever columns subjected to an intermediate periodic

concentrated axial load”, Journal of sound and vibration, Vol.116,

No.1, 1987, pp.195-198.

25. Stoker, J.J., and Lubkin. S, “Stability of columns and strings

under periodically varying forces”, Quarterly of Applied

Mathematics, Vol.1, 1953, pp.215-236.

26. Smith, T.E, and Herrmann, G., “Stability of a beam on an elastic

foundation subjected to follower force”, Journal of applied

Mechanics, Vol.39, 1972, pp.628-629.

27. Lee, H.P., “Dynamic Stability of a Tapered cantilever Beam on an

Elastic Foundation subjected to a Follower Force”, International

Journal of Solids Structures, Vol.33, No.10, 1996, pp.1409-1424.

28. Abbas, B.A.H., and Thomas. J., “Dynamic stability of Timoshenko

beams resting on an Elastic foundation”, Journal of Sound and

Vibration, Vol.60, No.1, 1978, pp.33-44.

29. Shastry, B.P. and Rao, G.V., “A Note on the free vibrations of a

short cantilever beam on the elastic foundation”, Vol.111, No.1,

1986, pp.176-178.

242

30. Shastry, B.P. and Rao, G.V., “Free vibrations of initially stressed

cantilever beams resting on an elastic foundation”, Journal of

Sound and Vibration, Vol.111, 1986, pp.504-509.

31. Shastry, B.P. and Rao, G.V., “Dynamic stability of cantilever

columns resting on an elastic foundation”, Computers &

Structures, Vol.25, No.1, 1987, pp.157-158.

32. Rao, G.V. and Shastry, B.P., “Some aspects of the dynamic

stability of hinged-hinged bars on an elastic foundation

considering the effect of shear deformation and rotatory inertia”,

Journal of sound and vibration, Vol.132, No.2, 1989, pp.346-349.

33. Raju, K.K. and Rao, G.V., “Effect of elastic foundation on the mode

shapes in stability and vibration problems of tapered

columns/beams”, Journal of sound and vibration, Vol.136, No.1,

1990, pp.171-175.

34. Raju, K.K. and Rao, G.V., “Effect of elastic foundation on the mode

shapes in stability and vibration problems of short columns”,

Journal of sound and vibration, Vol.137, No.1, 1990, pp.151-153.

35. Raju, K.K. and Rao, G.V., “Effect of elastic foundation on the mode

shapes in stability and vibration problems of simply supported

rectangular plates”, Journal of sound and vibration, Vol.139, No.1,

1990, pp.170-173.

36. Raju, K.K. and Rao, G.V., “Effect of variable elastic foundation on

the mode shapes in stability and vibration problems of uniform

243

columns/beams”, Journal of sound and vibration, Vol.157, No.2,

1992, pp.382-384.

37. Raju, K.K. and Rao, G.V., “Effect of a Non-linear variable elastic

foundation on the mode shapes in stability and vibration problems

of uniform columns/beams”, Journal of sound and vibration,

Vol.160, No.2, 1993, pp.369-371.

38. Engel, R.S., “Dynamic stability of Axially Loaded Beam on an

Elastic foundation with Damping”, Journal of Sound and

Vibration, Vol.146, No.3, 1991, pp.463-477.

39. Rao, B.N and Rao, G.V., “Stability of a cantilever column resting on

an elastic foundation subjected to a sub tangential follower force at

its free end”, Journal of sound and vibration, Vol.125, No.3, 1988,

pp.570-577.

40. Rao, G.V and Naidu, N.R., “Free vibration and stability behavior of

uniform beams and columns with Non-linear elastic end rotational

restraints”, Journal of sound and vibration, Vol.176, No.1, 1994,

pp.130-135.

41. Naidu, N.R and Rao, G.V., “Free Vibration and stability behavior of

uniform beams and columns on Non-linear elastic foundation”,

Computers & Structures, Vol.58, No.5, 1996, pp.1213-1215.

42. Patel, B.P, Ganapathi, M, Prasad, K.P. and Balamurugan, V.,

“Dynamic instability of layered anisotropic composite plates on

244

elastic foundation”, Engineering Structures, Vol.21, 1999, pp.988-

995.

43. Naidu, N.R., Rao, G.V. and Raju, K.K., “Stability behavior of

tapered columns with Non linear elastic and rotational restraints”,

Journal of Aeronautical Society of India, Vol.52, No.1, 2000, pp.70-

74.

44. Shastry, B.P and Rao, G.V, “Initially stressed vibrations of beams

with two symmetrically placed intermediate support”, Journal of

sound and vibration, Vol.103, No.4, 1985, pp.593-595.

45. Rao, G.V., and Neetha, R., “A Simple Formula for Evaluating the

Fundamental Frequency Parameter of Initially Stressed

Uniform Beams on Elastic Foundation”, Journal of Vibration and

Acoustics, (ASME), Vol. 124, No.3, 2002, pp. 451-454.

46. Rao, G.V and Raju, K. K., “Transition foundation stiffness for the

problems of uniform, axially loaded simply supported beam on

variable Winkler foundation”, Journal of Structural Engineering,

Vol.29,No.2, 2002, pp. 125-127.

47. Raju, K. K., and Rao, G. V., “Vibration of Initially Stressed Beams

and Plates around Transition Values of Elastic Foundation

Stiffness”, Journal of Sound and Vibration, Vol.161, No.2, 1993,

pp. 378-384.

48. Rao, G.V and Raju. K. K, “Stability of tapered cantilever columns

with an elastic foundation subjected to concentrated follower force

245

at the free end”, Journal of sound and vibration, Vol.81, No.1,

1982, pp.147-151.

49. Meera Saheb, K., “Large amplitude free vibrations of shear Flexible

structural members-Coupled Displacement Field and simple novel

methods., Ph. D., Dissertation, Dept. of Mechanical Engineering,

Jawaharlal Nehru Technological University Hyderabad,2009.

50. Lee, S.Y., Kuo, Y.H. and Lin, F.Y, “Stability of a Timoshenko beam

resting on a Winkler elastic foundation”, Journal of sound and

vibration, Vol.153, 1992, pp.193-202.

51. Kien, N.D., “Free vibrations of prestress Timoshenko beams resting

on an Elastic foundation”, Vietnam Journal of Mechanics, VAST,

Vol.29, No.1, 2007, pp.1-12.

52. Rao, G.V., and Neetha, R., “Methodology to evaluate first transition

foundation stiffness for columns of Winkler foundation”, Journal of

Structural Engineering (ASCE), Vol.128, 2002, pp.956-959.

53. Thambiratnam, D and Zhuge, Y., “Free vibration analysis of beams

on elastic foundation”, Computers and Structures, Vol.60, No.6,

1996, pp.971-980.

54. Rao, G. V., “Transition foundation modulus for the vibration

problem of uniform initially stressed simply supported beams on

Winkler foundation”, Indian Journal of Engineering & Materials

Sciences (CSIR), Vol. 10, 2003, pp. 92-94.

246

55. Rao, G.V and Raju, K.K., “Equivalent Winkler foundation to

represent two parameter elastic foundations”, Journal of

aeronautical Society of India, Vol.54, 2002, pp. 323-325.

56. Rao, G.V and Raju, K.K., “First transition stiffness parameters of a

simply supported beam on variable two parameter foundations for

buckling and vibration problems”, Journal of Structural

Engineering (SERC, CSIR), Vol.29, No.4, 2003, pp.245-247.

57. Sunderrajan, C., “Stability of columns of elastic foundation

subjected to conservative and Non conservative forces”, Journal of

sound and vibration, Vol.37, 1974, pp.79-85.

58. Yokayama T, “Parametric instability of Timoshenko beams resting

on an elastic foundation”, Vol.28, 1988, pp.207-216.

59. Filonenko-Borodich, M.M., “Some approximate theories of the

elastic foundation”, Uchenyie Zapiski Moskovskogo Moskovskogo

Gosundarstuen Nogo Universiteta Mechanika, Vol. 46, 1940,

pp.3-18.

60. Pasternak, P. L., “On a new method of analysis on elastic

foundation by means of two foundation constants”,

GosudarstvenNoe Izdatelsto po Stoitelstvu Aarkhitekture, Moscow,

USSR, 1954.

61. Kerr, A.D., “Elastic and Viscoelastic foundation models”,

Journal of Applied Mechanics, Vol.31, 1964, pp.491-498.

247

62. Zhaohua, F. and Cook, R. D., “Beam elements of two parameter

elastic foundations”, Journal of Engineering Mechanics (ASCE),

Vol.109, 1983, pp.1390- 1402.

63. Naidu, N.R and Rao, G.V, “Stability behavior of uniform columns

on a class of two parameter elastic foundation”, Computers &

Structures, Vol.57, No.3, 1995, pp.551-553.

64. Naidu, N.R and Rao, G.V, “Vibrations of initially stressed uniform

beams on a two parameter elastic foundation”, Computers and

Structures, Vol.57, 1995, pp.941-943.

65. Rao, G.V., “Determination of first transition of mode shapes for

buckling and free vibration problems of uniform simply supported

beams on variable two parameter elastic foundation though the

concept of equivalent uniform Winkler foundation”, Indian journal

of Engineering and Material Science, Vol.10, 2003, pp. 359-364.

66. Franciosi, C and Masi, A., “Free vibrations of foundation beams on

two parameter elastic soil”, Computers & Structures, Vol.47, 1993,

pp.419-426.

67. Rao, G.V and Raju, K. K., “ Transition foundation modulus of

uniform simply supported beams resting on variable Winkler or

uniform Pasternak foundation”, Journal of Structural Engineering,

Vol.28,No.3, 2001,pp. 157-159.

68. Rao, G.V, and Raju, K.K., “Elegant and accurate closed form

solutions to predict vibration and buckling behavior of slender

248

beams on Pasternak foundation,” Indian Journal of Engineering

and Material Sciences, Vol.9, 2002, pp.98-102.

69. Rao, G.V and Raju, K.K., “Equivalent Winkler foundation to

represent two parameter elastic foundations”, Journal of the

Aeronautical Society of India, Vol. 54, 2002, pp.323-325.

70. Rao, G.V and Raju, K.K., “Concept of uniform Winkler foundation

to represent variable two parameter foundations”, Journal of

Mechanical Engineering (SAC, ISRO), Vol.7, 2004,pp.9-13

71. Rao, G.V., “Evaluation of first transition foundation stiffness for

simply supported beams on Pasternak foundation”, Journal of

Structural Engineering (SERC/CSIR), Vol.31, 2004, pp.139-142.

72. Naidu, N.R and Rao, G.V., “Prediction of fundamental frequencies

of initially stressed tapered beams” Journal of Aeronautical Society

of India, Vol.52, No.2, 2000, pp.141-143.

73. Naidu, N.R., Rao, A.V. and Rao,G.V.,1994,“Prediction of

fundamental frequencies of initially stressed uniform beams”,

VSSC Publication, VSSC/ SEG/ SDA/ TN-162/ 94, Structural

Design and analysis Division, Structural Engineering Group,

Aeronautics Entity, Vikram Sarabhai Space Center, Trivandrum -

695022, India, August1994.

74. Rao, G.V., “A simple method for predicting the fundamental

frequency of initially stressed structural elements”, Invited Lecture,

Proceedings of the INTERNATIONAL WORKSHOP ON

249

COMPUTATIONAL MECHANICS AND OPTIMISATION (IWCMO

2002), 2002, pp. 1-24, IIT, Kharagpur, India, 4-10 October.

75. Amba-Rao, C.L., Effect of end conditions on the lateral frequencies

of uniform straight columns, Journal of Acoustic Society of

America, Vol.42, No.4, 1967, pp.900-901.

76. Galef, A.E., “Bending frequencies of compressed beams,

Journal of Acoustic Society of America, Vol.44, No.8, 1968, pp. 643.

77. Gorman, D.J., “Free vibration and buckling of in-plane loaded

plates with rotational edge support”, Journal of Sound and

Vibration, Vol.229, No.4, 2000, pp.755-773.

78. Emam, S.A. and Nayfeh, A.H., “Post-buckling and free vibrations

of composite beams”, Composite Structures, Vol.88,2009,pp.636–

642.

79. Gradshteyn, I.S., and Ryzhik, R.M., “Table of Integrals, Series, and

Products”, Seventh Edition, Elsevier Inc, New York, 2007.

80. Hurty, W.C., and Rubinstein, M.F., “Dynamics of Structures”,

Prentice-Hall, New Delhi, India, 1967.

81. Lurie, H., Lateral vibrations as related to structural stability,

Journal of Applied Mechanics, Vol.19, 1952, pp.195-204.

82. Singa Rao, K. and Amba-Rao, C.L., “Lateral vibration and

stability relationship of elastically restrained circular plates”,

AIAA Journal, Vol.10, No.12, 1972, pp.1689-1690.

250

83. Singa Rao, K. and Amba-Rao, C. L., “Comment on lateral

vibration and stability relationship of elastically restrained circular

plates”, AIAA Journal, Vol.11, No.7, 1973, pp.1056-1056.

84. Rao, G.V., “A simple formula to predict the fundamental frequency

of initially stressed square plates”, Journal of Sound and

Vibration, Vol. 246, 2001, pp. 185-189.

85. Rao, G. V and Neetha, R., “Prediction of fundamental frequency of

initially in-plane loaded moderately thick circular plates”, Journal

of Sound and Vibration, Vol. 259, 2003, pp. 1265-1268.

86. Rao, G.V and Raju, K.K, “A study of various effects on the stability

of circular plates” Computers and Structures, Vol.24, No.1, 1986,

pp.39-45.

87. Venugopal, N., Shastry, B.P and Rao, G.V., “Stability of square

plates resting on four symmetrically placed point supports on

diagonals”, Computers & Structures, Vol.31, No.2, 1989, pp.293-

295.

88. Leissa, A.W., “Vibration of Plates” NASA SP-160, Washington D.C.,

1965.

89. Chen, L. W., and Yang, J.Y, “Dynamic stability of laminated

composite plates by Finite element method”, Computers &

Structures, Vol.36, No.5, 1990, pp.845-85.

251

90. Saha, K.N., Kar, R.C., and Datta, P.K., “Dynamic stability of a

rectangular plate on Non-homogeneous Winkler foundation”,

Computers & Structures, Vol.63, No.6, 1997, pp.1213-1222

91. Jayachandran, S.A., and Vaidhyanathan, C.V., “Post critical

behavior of biaxially compressed plates on elastic foundation”,

Computers & Structures, Vol.54, No.2, 1995, pp.239-246

92. Dey, P., and Singha, M.K., “Dynamic Stability Analysis of

Composite Skew Plates Subjected to Periodic In-plane Load”, Thin-

Walled Structures, Vol.44, No.9, 2006, pp. 937-942.

93. Ramachandra, L.S., and Sarat Kumar Panda, “Dynamic instability

of composite plates subjected to non-uniform in-plane loads”,

Journal of Sound and Vibrations, Vol.331, 2012, pp.53-65.

94. Fung, Y. C., and Sechler, E. E, “Instability of Thin Elastic Shells”,

Structural Mechanics, Proc. of First Symposium on Naval

Structural Mechanics, Pergamon Press, New York, 1960, pp.115-

168.

95. Jinhua, Y., and Yiming, Fu. “Analysis of Dynamic Stability for

Composite Laminated Cylindrical Shells with Delaminations”,

Composite Structures, Vol. 78, No.3, 2007, pp. 309-315.

96. Liew, K.M., Hu, Y.G., Ng, T.Y., and Zhao, X., “Dynamic stability of

rotating cylindrical shells subjected to periodic axial loads”,

International Journal of Solids and Structures, Vol.43, 2006,

pp.7553-7570.

252

97. Williamson, E.B., and Rungamornrat, J., “Numerical Analysis of

dynamic stability under random excitation”, Engineering

Structures, Vol.24, 2002, pp.479-490.

98. Raju, K.K and Rao, G.V, “Stability of moderately thick annular

plates subjected to a uniform radial compressive load at the outer

edge”, Computers & Structures, Vol.33, No.2, 1989, pp.477-482.

99. Kar, R.C., and Sujata, T., “Parametric instability of Timoshenko

beam with thermal gradient resting on a variable Pasternak

foundation”, Computers & Structures, Vol.36, No.4, 1990, pp.659-

665.

100. Calim, F. F., “Dynamic analysis of beams on viscoelastic

foundation”, European Journal of Mechanics A/Solids, Vol.28,

2009, pp. 469-476.

101. KargarNovin, M.H., and Younesian, D., “Dynamic stability of

Timoshenko beams on Pasternak foundation under moving load”,

Vol.31, 2004, pp.713-723.

102. Morfidis, K., “Vibration of Timoshenko beams on three-parameter

elastic foundation”, Computers and Structures, Vol.88, 2010,

pp.294-308.

103. Woinowsky – Krieger, S., “The Effect of an Axial Force on the

Vibration of Hinged Bars”, ASME J. Appl. Mech., Vol.17, 1950,

pp.35-36.

253

104. Reiss, E.L., and Matkowsky, B.J., “Nonlinear dynamic buckling of

a compressed elastic column”, Quarterly of applied mathematics,

Vol.29, 1971, pp.245-260.

105. Rubenfield, L.A, “Nonlinear dynamic buckling of a compressed

elastic column”, Quarterly of applied mathematics, Vol.32, 1974,

pp.163-171.

106. Ray, J.D. and Bert, C.W., “Nonlinear Vibrations of a Beam with

Pinned Ends”, J. Eng. Ind., ASME, Vol.91, 1969, pp.977-1004.

107. Rao, G.V., Raju, I.S., and Raju, K.K., “Finite Element Formulation

for the Large Amplitude free Vibrations of Beams and Orthotropic

circular plates”, Computers and Structures, Vol.6, 1976, pp.169-

172.

108. Prathap, G. and Vardhan, T.K., “The large amplitude vibration of

hinged beams”, Computers and Structures, Vol.9, 1978, pp.219-

222.

109. Suresh, R., Singh, Gajbir, and Rao, G.V, “Nonlinear dynamic

stability of laminated beams subjected to pulsating thermal

loads”, AIAA Journal, Vol. 37,n0.4, 1999, pp. 521-524.

110. Suresh, R., Singh, Gajbir and Rao, G.V., “Dynamic stability of

laminated beams subjected to large pulsating thermal loads”,

Journal of The Aeronautical Society of India, Vol. 53, 2001, pp. 1-

12.

254

111. Rao, G. V., “Large amplitude vibrations of slender, uniform beams

on elastic foundation”, Indian Journal of Engineering & Materials

Sciences (CSIR), Vol. 10, 2003, pp. 87-91.

112. Rao, G.V., “Large amplitude free vibrations of uniform beams on

Pasternak foundation”, Journal of Sound and Vibration, Vol. 263,

2003, pp. 954-960.

113. Naidu, N.R, Rao, G.V., and Raju, K.K, “Free vibration behavior of

tapered beams with Non-linear elastic end rotational restraints”,

Journal of sound and vibration, Vol.240, No.1, 2001, pp.195-202.

114. Rao, G.V., and Raju, K.K., “Large amplitude free vibration of

beams-An Energy Approach”, ZAMM, Vol.4, 2003, pp.493-498.

115. Rao, G.V., and Reddy, G.K., “General continuum formulation

For geometrically Non-linear free vibrations of beams”, proceedings

of the international conference on advances in Structural

Dynamics and applications, Vishakapatnam, 2005, pp.185-193.

116. Tetsuya, Y., Arizumi, Y., Akamine, F., and Lu, L., “Nonlinear effect

of instability of steel columns under dynamic axial loads”, Journal

of Structural Engineering (ASCE), Vol.131, No.12, 2005, pp.1832-

1840.

117. Gupta, R.K., Gunda, J.B., Ranga Janardhana, G., Venkateswara

Rao, G., “Post-buckling Analysis of Composite Beams: Simple and

Accurate Closed-form Expressions”, Composite Structures, Vol.

92, 2010, pp. 1947-1956.

255

118. Gunda, J.B., Gupta, R.K., Ranga Janardhana, G., Venkateswara

Rao, G., “Large Amplitude Vibration Analysis of Composite

Beams: Simple Closed-form Solutions”, Composite Structures,

Vol.93, 2011, pp.870-879.

119. Balamurugan, V., Ganapathi, M. and Varadan, T.K., “Non-linear

dynamic instability of Laminated composite plates using Finite

Element Method”, Computers & Structures, Vol.60, No.1, 1996,

pp.125-130.

120. Raju, K.K and Rao, G.V, “Axisymmetric vibrations of Circular

plates including the effects of geometric Nonlinearity, shear

deformation a rotary inertia”, Journal of Sound and Vibration,

Vol.47, 1976, pp.179-184.

121. Raju, K.K, Rao, G.V and Raju, I.S, “Effect of geometric Nonlinearity

on the free flexural vibrations of moderately thick rectangular

plates”, Computers and Structures, Vol.9, 1978, pp.441-444.

122. Rao, G.V and Raju, K.K, “Nonlinear supersonic flutter of panels

considering shear deformation and rotator inertia”, Vol.17, No.3,

1983, pp.361-364.

123. Singh, Gajbir, Raju, K.K, Rao, G.V and Iyengar, N.G.R, “Non-linear

vibrations of simply supported rectangular cross-ply plates”,

Journal of sound and vibration, Vol.142, No.2, 1990, pp.213-226.

124. Ganpathi, M, Boisse, P and Solaut, D, “Non-linear dynamic

stability analysis of composite laminates under periodic in-plane

256

compressive loads”, International Journal of Numerical Methods in

Engineering, Vol.46, 1999, pp.943-956.

125. Ganpathi, M, Patel, B. P., Boisse, P and Touratier, M, “Non-linear

dynamic stability characteristics of elastic plates subjected to

periodic in-plane load”, International Journal of Non-linear

Mechanics, Vol.35, 2000, pp.467-480.

126. Chen, C.S. and Fung, C.P., “Large amplitude vibration of an

initially stressed plate on elastic foundations”, Computers and

Structures, Vol.82, No.9-10, 2004, pp.689-701.

127. Pradyumna, S., and Gupta, Abhishek. “Non-linear dynamic

stability of composite plates with piezoelectric layers subjected to

periodic in-plane load”, The IES Journal Part A: Civil & Structural

Engineering, Vol.4, 2011,pp.17-29.

128. Marimuthu, R., Raveendranath, P., Raju, K.K and Rao, G.V., “Non-

linear buckling analysis of structures through FEAST-NL, A Finite

Element Software”, ICTACEM 2001, 2001, P 033.

129. Marimuthu, R., Raju, K.K., and Rao, G.V., “Geometric Non linear

static analysis using layered axisymmetric solid elements”,

ICTACEM 2001, 2001, P 022.

130. Sundaresan, S., Raveendranath, P., Raju, K.K and Rao, G.V,

“FEAST-NL – a finite element software for Non-linear analysis of

structures”, National conference in Advances in structural

dynamics and design, January, 9-11, 2001, pp.127-134.

257

131. Satyamoorthy, M., “Nonlinear analysis of structures”, CRC

Mechanical Engineering series, Boca Raton, FL, USA, 1991.

132. Rao, G. V., and Raju, K. K., “Thermal Postbuckling of Uniform

Columns: A Simple Intuitive Method”, AIAA Journal, Vol. 40,

No.10, 2002, pp.2138-2140.

133. Rao, G. V., Saheb, K.M., and Janardhana, G. R., “ Large Amplitude

free Vibrations of Uniform Timoshenko Beams-A Novel

Formulation”, AIAA Journal, Vol.45, No.11, 2007, pp.2810-2812.

134. Rao, G. V., and Raju, K. K., “Applicability of a simple method for

Thermal Post buckling of Square Plate”, AIAA Journal, Vol. 42,

No.8, 2004, pp.1724-1726.

135. Reddy J.N., “Energy Principles and Variational Methods in applied

Mechanics” 2nd ed., John-Wiley, New York, 2002.

136. Reddy J.N., “An Introduction to the Finite Element Method”, 3rd

ed., Tata McGraw Hill Edition, New Delhi, 2005.

258

PUBLICATIONS RELATED TO PRESENT WORK

Journals

1. B. Subba Ratnam, G. Venkateswara Rao and G. Ranga

Janardhana, “Elegant universal formula to predict dynamic stability

of columns subjected to axial periodic loads”, Journal of Structural

Engineering , Vol. 36, pp. 452 - 455, 2010.

2. B. Subba Ratnam, G. Venkateswara Rao and G. Ranga

Janardhana, “Dynamic Stability of Beams on Elastic Foundation”,

Journal of Structural Engineering, Vol.38, No.2, June-July 2011,

pp.151-160.

3. B. Subba Ratnam, G. Venkateswara Rao and G. Ranga

Janardhana, “Study of dynamic stability of simply supported beams

on Pasternak foundation considering the effect of first transition

foundation parameter” Journal of Applied Mathematics and

Mechanics (ZAMM), Vol .92, No.6, pp. 490-496, 2012.

4. B. Subba Ratnam, G. Venkateswara Rao and G. Ranga

Janardhana, “Dynamic Stability of beams subjected to end periodic

and static tensile axial load”, Journal of Structural Engineering,

Vol.39, No.2, June-July 2012, pp.263-268.

5. G. Venkateswara Rao, B. Subba Ratnam, Jagadish Babu Gunda

and G. R. Janardhana, “Master Formula for Evaluating Vibration

Frequencies of Structural Members under Compressive Loads”, The

IES Journal Part A: Civil & Structural Engineering, Vol.4, No.2,

May 2011, pp.79-88.

259

6. G. Venkateswara Rao, B. Subba Ratnam and G. Ranga

Janardhana, “Master dynamic stability formula for structural

members subjected to periodic loads”, AIAA Journal, Vol.46, pp.

537-540, 2008.

7. B. Subba Ratnam, G. Venkateswara Rao and G. Ranga

Janardhana, “Development of Three Simple Master Dynamic

Stability Formulas for Structural Members Subjected to Periodic

Load”, Journal of The Institution of Engineers (India), Vol.92, May

2011, pp. 9-14.

8. B. Subba Ratnam, G. Venkateswara Rao and G. Ranga

Janardhana, “Master Formula for Geometrically Nonlinear Dynamic

Instability of Shear Flexible Beams”, AIAA Journal (In Press).

DOI: 10.2514/1. J051524.

Conferences:

1. B. Subba Ratnam, G. Venkateswara Rao and G. Ranga

Janardhana, “Prediction of dynamic stability behavior of columns

subjected to axial periodic loads – An energy approach”, 53rd

Congress of Indian Society of Theoretical and Applied Mechanics

(An International Meet), Souvenir with ABSTRACTS, p. 26, 2008.

2. B. Subba Ratnam, G. Venkateswara Rao and G. Ranga

Janardhana, “ General formula to evaluate fundamental frequency

of initially loaded beams with complex secondary effects”, Invited

Paper, PROCEEDINGS of International Conference on Composites for

21st Century - Current and Future Trends (ICC – CFT 2011), Edited

by Dattaguru et al., 4 – 7 January 2011, IISc, Bangalore – 560 012,

India.