Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-22T14:56:04.106Z Has data issue: false hasContentIssue false

The Effects of Solid Viscosities to Dynamic Load Factors of the Ring and the Hollow Sphere Subjected to Impulsive Loads

Published online by Cambridge University Press:  04 July 2016

Shin-Ichi Suzuki*
Affiliation:
Nagoya University, Nagoya, Japan

Extract

Although it has been said that dynamic load factor is equal to 2, it became evident by the author's researches that this value is influenced by the dimensions of members and loading conditions and is very different from 2. However, the solid viscosities are neglected in all these researches. Previously, the author obtained the coefficients of viscosities from the experimental results of damped oscillation of a cantilever beam in a vacuum vessel and investigated the relationships between dynamic load factors and solid viscosities on the beam and the rod subjected to transverse or longitudinal impulsive loads. From these results, it was found that the effects of solid viscosities to dynamic load factors cannot be neglected.

To find out whether the same fact can be obtained for the higher dimensions or not, the ring and the hollow sphere subjected to uniformly distributed impulsive loads along the inner and outer edges are analysed. Since σθ, the direct stress to the circumferential direction, is the most important from the engineering point of view, the relationships between solid viscosities and dynamic load factors of σθ are investigated.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1968 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Timoshenko, S. Vibration Problems in Engineering. D. Van Nostrand,Co, New York, 1955.Google Scholar
2. Suzuki, S. Dynamic Elastic Response of a Ring to Transient Pressure Loading. ASME Trans, Jnl of Appl Mech, Vol 33, Series E, No 2, 1966.Google Scholar
3. Suzuki, S. On the Stress Concentration of a Hollow Sphere Under Uniformly Distributed Impact Loads Along Inner and Outer Surfaces. JSME Trans, Vol 32, No 236, 1966.Google Scholar
4. Suzuki, S. The Effects of Axial Forces to Dynamic Load Factors of the Beam Subjected to Transverse Impulsive Loads. Aero Jnl of the RAeS. (To be published.)Google Scholar
5. Suzuki, S. Measurements of Solid Viscosities and Their Effects to Dynamic Load Factors. JSME Trans, Vol 33, No 249, 1967.Google Scholar
6. Chao, C. and Achenbach, D. A Simple Visco-elastic Analogy for Stress Waves in Stress Waves in An elastic Solids edited by H., Kolsky and W., Prager, Springer-Verlag, Berlin, 1964.Google Scholar
7. Hankins, L. Dynamic Stresses in a Thick-Walled Spherical Shell of Voigt Material. AlAA Jnl, Vol 4, No 11 , 1966.Google Scholar
8. Baker, W. and Allen, F. The Response of Elastic Spherical Shells to Spherically Symmetric Internal Blast Loading. Proc of the 3rd US Nat Conf of Appl Mech, ASME, New York, 1958.Google Scholar