Geodesic
Stabilizing of a nonconservative system by introduction of high frequency harmonic force
Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 7-12

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The problem of stabilizing (increasing of the buckling load) of a cantilevered beam under partial follower force by additional introduction of high frequency harmonic force is considered. The stabilizing influence of this force on the behavior of a non-conservative system in divergence and flutter regions of instability is studied with two versions of additional harmonic force: “dead” and purely follower. Numerical results indicate on the high efficacy of the considered method for increasing of stability of elastic systems. 
@article{MM_2004_16_6_a1,
     author = {V. A. Postnov and G. A. Tumashik},
     title = {Stabilizing of a nonconservative system by introduction of high frequency harmonic force},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {7--12},
     publisher = {mathdoc},
     volume = {16},
     number = {6},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_6_a1/}
}
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V. A. Postnov; G. A. Tumashik. Stabilizing of a nonconservative system by introduction of high frequency harmonic force. Matematičeskoe modelirovanie, Tome 16 (2004) no. 6, pp. 7-12. http://geodesic.mathdoc.fr/item/MM_2004_16_6_a1/