Application of Response-Bound Method in Shock and Vibration Analysis of Telephone Structures

Abstract

Telephone structures must remain in operation during the shock and vibration caused by blasts, earthquakes, or other dynamic forces. Traditionally, various numerical methods, including the finite element approach, have been used to analyze such problems. These methods, although effective, generally require excessive and costly computations. In contrast, the Fourier transform method used in conjunction with a fast Fourier transform algorithm is much more economical. In addition, shock and vibration problems involving frequency-dependent parameters can be effectively treated by the Fourier method. However, to make the Fourier method more effective and widely applicable, various tractable input-transfer-output relations are needed. This paper derives a set of simple equality and inequality relations that allow various response parameters to be conveniently estimated based on partial knowledge of the input and the structures. In particular, two lower bounds and eight upper bounds of the maximum response of linear structures are presented. Simple structures subjected to impulse loads resembling blasts and a random transient load resembling earthquakes are studied. Practical applications of the method to telephone structures are demonstrated by the analysis of a battery stand and a community dial office system in an earthquake area.