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

The Fourier transform method has long been used to characterize linear systems and to identify the frequency content of waveforms. Sneddon1 demonstrates classical applications of the Fourier transform method to engineering and physics problems. Amba-Rao2 gives recent applications of this method to elasticity, White3 illustrates system response calculations, Le Bail4 demonstrates boundary-value problems 1403 in physics, and Liu and Fagel6 6 analyze earthquake soil-structure interactions. In the last three applications cited, the fast Fourier transform ( F F T ) algorithms were used in conjunction with the Fourier method to obtain numerical solutions. The development of F F T algorithms in the past few years has rapidly expanded the application of the Fourier method to include digital analysis of linear-system dynamics. This work was motivated by the idea that some simple and effective techniques based on the Fourier transform method and responsebound relations of linear systems can be developed for the shock and vibration analysis of telephone structures. This paper discusses the Fourier transform method applied to the vibration problems of linear structures and presents some simple relationships that make it possible to quickly evaluate and estimate various response parameters. In a typical engineering vibration problem, the primary concerns are the time and frequency aspects of the input and output (response) and the transfer characteristics of the system or structure involved.