Accession Number : AD0655839

Title :   OPTIMUM CRITICAL IMPULSE FOR SNAP-THROUGH IN SYSTEMS OF ONE DEGREE OF FREEDOM.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF THE AEROSPACE AND MECHANICAL ENGINEERING SCIENCES

Personal Author(s) : Huang,N. C. ; Nachbar,W. ; Prager,W.

Report Date : JUL 1967

Pagination or Media Count : 34

Abstract : A general procedure is derived for evaluation of the optimum load history which can cause the snap-through of a nonlinear, dissipative dynamical system of one degree of freedom in such a manner that the total impulse delivered by the load is a minimum. For systems in which dissipative force either is absent or else depends linearly on velocity, the optimum load history for minimum impulse is shown to be an ideal (Dirac-delta function) impulse applied to the system at rest. For nonlinear dissipation, however, the optimum load history has, in general, loads of finite magnitude acting over finite time. A general procedure to determine the optimum load history and the minimum total impulse for nonlinear dissipation is developed. This procedure is illustrated by application to two problems: the circulation of a single pendulum with damping; the snap-through of a simple, nonlinearly viscoelastic truss. (Author)

Descriptors :   (*LOADS(FORCES), DYNAMICS), STABILITY, OPTIMIZATION, STRUCTURES, DAMPING, EQUATIONS OF MOTION, NONLINEAR DIFFERENTIAL EQUATIONS

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE