Geodesic
Special finite elements for structural dynamics problems
Matematičeskoe modelirovanie, Tome 6 (1994) no. 8, pp. 85-91.

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Non-traditional varieties of finite elements are offered based on approximation of displacements by analytically exact shapes of eigen modes of simple flexible bodies, and on taking into account distributed inertial loads due to a motion of modelling object. It is shown that such elements at a crude mesh brings in general dynamic solution essentially lesser inaccuracy than the ordinary linear or Hermite's shape functions. 
@article{MM_1994_6_8_a6,
     author = {Yu. K. Spirochkin},
     title = {Special finite elements for structural dynamics problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {85--91},
     publisher = {mathdoc},
     volume = {6},
     number = {8},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1994_6_8_a6/}
}
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Yu. K. Spirochkin. Special finite elements for structural dynamics problems. Matematičeskoe modelirovanie, Tome 6 (1994) no. 8, pp. 85-91. http://geodesic.mathdoc.fr/item/MM_1994_6_8_a6/