Title of the article

CALCULATION OF PARAMETRIC VIBRATIONS OF HOMOGENEOUS IN THICKNESS VISCO-ELASTIC BAR IN VISCO-ELASTIC SOIL

Authors

Pirmamedov I.T., Candidate of Physical and Mathematical Sciences; Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

In the section MECHANICS OF DEFORMED SOLIDS
Year 2009 Issue 3 Pages 52-56
Type of article RAR Index UDK 539.3 Index BBK  
Abstract

In the present paper we consider parametric vibrations of rectilinear inhomogeneous in thickness bar allovering for physical and geometrical non-linearity, buried under visco-elastic soil. The problem is solved by variational method typical curves for dependence of applied force on frequency are constructed.

Keywords

Parametric vibration, thickness visco-elastic bar, visco-elastic soil

   
Bibliography
  • Pasternak P.L. Osnovy novogo metoda rascheta fundamentov na uprugom osnovanii pri pomoshhi dvuh kojefficientov posteli [Fundamentals of the new method of calculation of foundations on an elastic foundation with two bed coefficients].Moscow, Gosstroyizdat Publ., 1954. 56 p.
  • Alizade A.N., Amenzade R.Yu. Variacionnyj princip nelinejno-vjazko-uprugosti s uchetom geometricheskoj nelinejnosti [The variational principle of nonlinear viscoelastic considering geometric nonlinearity]. DAN SSSR [DAN USSR], 1976, vol. 230, no. 6, pp. 1303-1305.
  • Yusifov M.O. K raschetu pokrytija truboprovodov pri pul'sirujushhem davlenii [On the calculation pipe coating with a pulsating pressure]. Neft I gas [Oil and gas], 1985, no. 10, pp. 61-64.
  • Volmir A.S. Ustojchivost deformiruemyh system [The stability of deformable systems]. Moscow, Nauka Publ., 1967. 984 p.
  • Volmir A.S. Nelinejnaja dinamika plastinok i obolochek [Nonlinear dynamics of plates and shells]. Moscow, Nauka Publ., 1972. 432 p.