TORSIONAL VIBRATIONS OF A HOLLOW VISCOELASTIC CYLINDER,
Abstract
The motion of a hollow viscoelastic cylinder with outer cylindrical surface fixed, and inner surface bonded to a mass and subjected to a step function of torque is analyzed. The method used is an extension of the engineering vibration analysis of normal modes and normal coordinates. In analogy to elastic analysis, the characteristic numbers associated with these modes depend only upon the boundary conditions and not on the mechanical properties of the cylinder. The characteristic frequencies, however, do depend on the material properties. Numerical calculations were performed on the BRLESC digital computer using two different high-order differential operator representations of the shear modulus of polyisobutylene. The calculations demonstrate (1) the effect of different model representations of the shear modulus; and (2) the effect of the attached mass on the transient response of the cylinder. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1964
- Accession Number
- AD0603854
Entities
People
- William Goldberg
Organizations
- Ballistic Research Laboratory