An Approximation Method for Dynamic Response of Strain-Hardening Structures

An approximation method is being developed to predict the dynamic plastic response of rigid, strain—hardening structures. This method is analogous to the instantaneous mode techniques used to treat rigid, perfectly plastic structures in that a deflection shape involving a number of arbitrary functions of time is selected, based on static deformation profiles. Two stress fields are associated with the deflection shape: one satisfies the equations of motion with appropriate boundary and continuity conditions, and the other satisfies the strain—hardening constitutive relation with appropriate boundary and smoothness conditions. The method is illustrated using the case of a simply—supported beam with a central plastic region.

• INTRODUCTION

• STATEMENT OF PROBLEM

• COMPARISONS AND RESULTS

• ACKNOWLEDGEMENTS

• REFERENCES