Abstract

During acceleration of a machine through a critical speed, displacements and stresses may attain large values. For linear systems F. M. Lewis (1), and J. G. Baker (2) have studied different aspects of this problem, the former analytically, the latter by mathematical-machine methods. This paper presents a generalized solution obtained on the mechanical analyzer (3) for the effect of an accelerated sine-wave force on a spring-mass system having linear plus cubic elasticity and linear damping. The range of accelerations covered applies to electrically driven reciprocating machines and to other rapid starting units. Some interesting effects of nonlinearity on displacements and forces are pointed out.

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