Axially Symmetric Wave Propagation of a Finite Solid Cylinder, March 1967

(1967) Axially Symmetric Wave Propagation of a Finite Solid Cylinder, March 1967. Iowa State University

Preview

PDF Axially_Symmetric_Wave_Propagation_of_a_Finite_Solid_Cylinder.pdf File Size:6MB

Abstract

Based on the general theory developed by K. C. Valanis, the solution of wave propagation in a viscoelastic material can be reduced by the superposition principle to the solution of a static problem, plus an eigenvalue problem and an integrodifferential equation of the Volterra type involving time only. The static problem of a finite hollow cylinder under axially symmetric loading has been solved by C. T. Sun and K. C. Valanis. The purpose of this report is to develop the solution of the eigenvalue problem of a finite solid cylinder. From the general theory then the complete solution of wave propagation in a finite viscoelastic cylinder will be followed immediately.