Accession Number : AD0667191

Title :   AXISYMMETRIC DYNAMIC SNAP-THROUGH OF ELASTIC CLAMPED SHALLOW SPHERICAL SHELLS.

Descriptive Note : Interim rept.,

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

Personal Author(s) : Huang,N. C.

Report Date : FEB 1968

Pagination or Media Count : 32

Abstract : The behavior of axisymmetric dynamic snap-through of elastic clamped shallow spherical shells under a uniform pressure has been investigated by several authors. In most of the previous work, approximate methods were used, and as yet no positive conclusion has been made on the critical load for snap-through. In this paper, a numerical method is developed for solving the governing non-linear differential equations of this problem. Two types of loading conditions are included--an impulsive load and an instantaneously applied step load with infinite duration. In the case of impulsive loading, it is found from the quasistatic problem under zero load that the only equilibrium position of the shell is its undeformed configuration. Hence there is no possiblity for dynamic snap-through under impulsive loading. In the case of step loading, the snap-through loads are evaluated for a wide range of the geometrical parameter of the shell. Comparison of the present calculated critical loads with the previous results from approximate methods is made. It is found that the present critical load checks closely with an experimental value of the critical load for one value of the geometrical parameter of the shell. (Author)

Descriptors :   (*ELASTIC SHELLS, *BUCKLING), SPHERES, STABILITY, LOADS(FORCES), DYNAMICS, NUMERICAL METHODS AND PROCEDURES, NONLINEAR DIFFERENTIAL EQUATIONS, CORRELATION TECHNIQUES

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE