Accession Number : AD0679939

Title :   THE PROBLEM OF AXISYMMETRIC VIBRATIONS OF A SHELL OF REVOLUTION WITH A DOUBLE TURNING POINT,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Tovstik,P. E.

Report Date : 05 APR 1968

Pagination or Media Count : 12

Abstract : The asymptotic method of integrating equations with small parameters in higher derivatives is applied to a system of equations for small axisymmetric vibrations of a thin elastic shell of revolution. Use of the asymptotic method is complicated by a turning point in the resolvent. The article examines a double turning point (the coefficient of the second derivative in the resolvent has a root of second-order multiplicity). A standard equation is used whose integrals are expanded into Maclaurin series. Investigation of the asymptotic behavior of these series makes it possible to find a connection between the integrals of the resolvent which are valid to the right and left of the turning point. The behavior of the integrals of the resolvent near the turning point is also studied. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), *VIBRATION), BODIES OF REVOLUTION, ASYMPTOTIC SERIES, DIFFERENTIAL EQUATIONS, MODULUS OF ELASTICITY, USSR

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE