1 |
Basar, Y., Eller, C. and Kratzig, W.B. (1987), "Finite element procedures for parametric resonance phenomena of arbitrary elastic shell structures", Comput. Mech., 2, 89-98.
DOI
|
2 |
Bathe, K.J. (1996), Finite Element Procedures, Prentice Hall, New Jersey.
|
3 |
Bolotin, V.V. (1964), The dynamic stability of elastic systems, Holden Day, San Francisco.
|
4 |
Briseghella, L., Majorana, C.E. and Pellegrino, C. (1998), "Dynamic stability of elastic structures: a finite element approach", Comput. Struct., 69, 11-25.
DOI
|
5 |
Chopra, A.K. (2007), Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall, New Jersey.
|
6 |
Clough, R.W. and Penzien J. (2003), Dynamics of Structures, Third Edition, Computers & Structures, Inc., Berkeley.
|
7 |
Dingwell, J.B., Cusumano, J.P., Cavanagh, P.R. and Sternad, D. (2001), "Local dynamic stability versus kinematic variability of continuous overground and treadmill walking", J. Biomech. Eng., 123, 27-32.
DOI
|
8 |
Kr a tzig, W. B., Bsar, Y., and Nawrotzki, P. (1996), "Dynamic structural instabilities", Dynamics of Civil Engineering Structures, Eds. W.B. Kr a tzig, Y. Bsar and P. Nawrotzki, Balkema, Rotterdam.
|
9 |
Kumar, R., Kumar, A. and Panda, S.K. (2015), "Parametric Resonance of composite skew plate under non-uniform in-plane loading", Struct. Eng. Mech., 55(2), 435-459.
DOI
|
10 |
Li, Y. and Wang, Z. (2016), "Unstable characteristics of twodimensional parametric sloshing in various shape tanks: theoretical and experimental analyses", J. Vib. Control, 22(19), 4025-4046.
DOI
|
11 |
Li, Y., Wang, L. and Yu, Y. (2016), "Stability analysis of parametrically excited systems using the energy-growth exponent/coefficient", Int. J. Struct. Stab. Dyn., 16(10), 1750018.
|
12 |
Majorana, C.E. and Pellegrino, C.D. (1997), "Dynamic stability of elastically constrained beams: an exact approach", Eng. Comput., 14(7), 792-805.
DOI
|
13 |
Majorana, C.E. and Pomaro, B. (2011), "Dynamic stability of an elastic beam with visco-elastic translational and rotational supports", Eng. Comput., 28(2), 114-129.
DOI
|
14 |
Majorana, C.E. and Pomaro, B. (2012), "Dynamic stability of an elastic beam with visco-elasto-damaged translational and rotational supports", J. Eng. Mech., 138(6), 582-590.
DOI
|
15 |
Mishra, U.K. and Sahu, S.K. (2015), "Parametric instability of beams with transverse cracks subjected to harmonic in-plane loading", Int. J. Struct. Stab. Dyn., 15(1), 1540006.
DOI
|
16 |
Elfrgani, A.M., Moussounda, R. and Rojas, R.G. (2015), "Stability assessment of non-Foster circuits based on time-domain method", IET Microw. Anten. Propagat., 9(15), 1769-1777.
DOI
|
17 |
Naprstek, J. and Fischer, C. (2015), "Dynamic stability of a vertically excited non-linear continuous system", Comput. Struct., 155, 106-114.
DOI
|
18 |
Shastry, B.P. and Rao, G.V. (1984), "Dynamic stability of bars considering shear deformation and rotatory inertia", Comput. Struct., 19, 823-7.
DOI
|
19 |
Pradyumna, S. and Gupta, A. (2011), "Dynamic stability of laminated composite plates with piezoelectric layers subjected to periodic in-plane load", Int. J. Struct. Stab. Dyn., 11(2), 297-311.
|
20 |
Rosenstein, M.T., Collins, J.J. and Luca, C.J.D. (1993), "A practical method for calculating largest Lyapunov exponents from small data sets", Physica D: Nonlin. Phenomena, 65(1-2), 117-134.
DOI
|
21 |
Shastry, B.P. and Rao, G.V. (1986), "Dynamic stability of a short cantilever column subjected to distributed axial loads", Comput. Struct., 22, 1063-1064.
DOI
|
22 |
Tondl, A., Ruijgrok, M., Verhulst, F. and Nabergoj, R. (2000), Autoparametric Resonance in Mechanical Systems, Cambridge University Press, Cambridge.
|
23 |
Wang, X. (2003), Finite Element Method, Tsinghua University Press, Beijing. (in Chinese)
|
24 |
Xia, Y. and Fujino, Y. (2006), "Auto-parametric vibration of a cable-stayed-beam structure under random excitation", J. Eng. Mech., 132(3), 279-286.
DOI
|
25 |
Xie, W.C. (2006), Dynamic Stability of Structures, Cambridge University Press, New York.
|
26 |
Wolf, A., Swift, J.B., Swinney, H.L. and Vastano, J.A. (1985), "Determining Lyapunov exponents from a time series", Physica D: Nonlin. Phenomena, 16, 285-317.
DOI
|