Affiliation:
1. Timoshenko Laboratory, Stanford University, Stanford, Calif.
Abstract
Abstract
In this paper, systems are treated which are subjected to quadratic damping forces (of any magnitude) and to restoring forces of any type. The differential equations of motion for such systems can be transformed into linear differential equations of first order for the velocity squared, whatever the restoring forces may be. A first integral can be obtained readily. From it the exact relationships between any two consecutive maximum displacements (“amplitudes”) are derived. These relationships are discussed in detail for various types of restoring forces. Examples are worked out numerically and illustrated by graphs.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献