Effect of Static Deflection on the Natural Frequency of a System with a Hardening Non-Linear Spring
- 1 June 1967
- journal article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 9 (3) , 177-181
- https://doi.org/10.1243/jmes_jour_1967_009_029_02
Abstract
The effect of the static deflection on the natural frequency response is investigated for a single-degree-of-freedom system with a positive cubic non-linearity in the restoring force. The Ritz averaging method is used for the theoretical analysis, and by comparison with analogue computer solutions the first approximation, consisting of two terms, is shown to be satisfactory for most applications. Results indicate that in systems with a non-linear restoring force the existence of a static deflection produces significant effects and cannot be neglected in a theorectical analysis.Keywords
This publication has 1 reference indexed in Scilit:
- Non-Linear Vibration Problems Treated by the Averaging Method of W. Ritz. Part 2. Single Degree of Freedom Systems Single Term ApproximationsPublished by Defense Technical Information Center (DTIC) ,1951