Accession Number : AD0706783

Title :   LATERAL VIBRATION OF A NONLINEAR VISCOELASTIC BEAM UNDER INITIAL AXIAL TENSION.

Descriptive Note : Engineering sciences rept.,

Corporate Author : STATE UNIV OF NEW YORK BUFFALO FACULTY OF ENGINEERING AND APPLIED SCIENCES

Personal Author(s) : Cozzarelli,F. A. ; Wu,J. ; Tang,S.

Report Date : DEC 1969

Pagination or Media Count : 40

Abstract : The free lateral vibration of a simply-supported metallic beam under axial creep deformation is considered. The constitutive law is formulated with stress power functions in the primary and secondary creep terms; the instantaneous linear elastic deformation is also included. For better physical visualization, a nonlinear Maxwell-Kelvin model is used to represent the constitutive law. A reduction to various special models is also obtained. It is assumed that the initial stress is much greater than the increments of stress caused by the oscillation, and a perturbation technique is employed. In the present study, the perturbation essentially results in replacing a nonlinear viscoelastic problem by an equivalent linear viscoelastic problem. Analytical solutions for the Maxwell-Kelvin model and for the special models are obtained. Numerical results for a stainless steel and an aluminum alloy are also presented and discussed. (Author)

Descriptors :   (*BEAMS(STRUCTURAL), VIBRATION), LOADS(FORCES), CREEP, VISCOELASTICITY, STRESSES, STRAIN(MECHANICS), TENSILE PROPERTIES, RESONANT FREQUENCY, DAMPING, PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE