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1 Applied Mechanics and Engineering

1 1999

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About representation of theory tasks periodic solutions on basis of non-smooth argument transformation

Starushenko G., Krulik N., Tokarzewski S.

Applied Mechanics and Engineering

1999

Vol. 4, no spec.

115-120

The analytical method of solving periodic tasks of elasticity theory for layered composites has been suggested in papers (Starushenko et al., 1998). The method based on introduction of special non-smooth argument transformation so-called saw-tooth transformation (t-transformation). The advantage of saw-tooth argument transformation method is connected with possibility of mathematical description in limits of unanimous approach of different nature functions: continuous, piece continuos, with local specialties. Besides its combination with average theory and a lot of scale decomposition method extends opportunities of t-transformation technique application considerably. Solution of elasticity theory for layered composite massive in case of distributed massif forces has been built in paper (Starushenko et al., 1998). In present paper case of general load (acting of periodic distributed and concentrated load in common) is examined.