The Dynamic Response of a Solid, Viscoelastic Sphere to Translational and Rotational Excitation

[+] Author and Article Information
R. M. Christensen, W. G. Gottenberg

Space Technology Laboratories, Inc., Redondo Beach, Calif.

J. Appl. Mech 31(2), 273-278 (Jun 01, 1964) (6 pages) doi:10.1115/1.3629597 History: Received March 15, 1963; Online September 15, 2011


A solution is presented for the dynamic response of a solid sphere of linear viscoelastic material bonded to a mating, rigid spherical cavity which undergoes harmonic excitation. The dynamic response in the form of complex mechanical impedance is obtained in exact analytic form for two types of excitation of the rigid spherical boundary; rotation about a diameter and translation along a diameter. For the purpose of showing the usefulness of this system for experimentally determining the general stress-strain characteristics of the linear viscoelastic material, the sensitivity of the complex mechanical impedance of the sphere in each mode of excitation is examined relative to variations in the complex dynamic shear modulus and complex dynamic Poisson’s ratio of the material.

Copyright © 1964 by ASME
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