By M.R. Willford, P. Young
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Extra info for A Design Guide for Footfall Induced Vibration of Structures
13 ROARK, T. J. & YOUNG, W. , Formulae for Stress and Strain, 5th edition, McGraw-Hill Kogakusha, 1975. 14 2003 ASHRAE Handbook – HVAC Applications : Chapter 47 Sound and Vibration Control. Publisher ASHRAE. 15 EWINS, D. , Modal Testing, 2nd edition, Research Studies Press Ltd, 2000. 61 Footfall Induced Vibration of St61 61 06/12/2006 16:30:38 Glossary Damping Damping is a general term used to describe the dissipation of energy in a vibrating system. It is described in section 4 of Appendix A. In this guide damping is quantified numerically as the fraction of critical damping, ζ.
The critical walking speed is that which gives the highest harmonic force amplitude. 11b. The resonant response multiplier is the factor by which the resonant response in the first mode must be increased to account for the contribution of all the other modes. Again this factor is different for floors with significant torsional stiffness and so two plots are provided, one for solid and ribbed concrete floors and a second for steel composite floors. 2. 11a Resonant multiplier, Krm Resonant response multipliers for solid and ribbed concrete floors.
1. A full mathematical discussion of Fourier analysis can be found elsewhere12. , where each harmonic has a particular phase and magnitude. The first harmonic is sometimes referred to as the fundamental. The benefit of this decomposition is that the response of a dynamic system to the original periodic load can be calculated by summing the responses to the individual harmonics. Fundamental frequency The natural frequency of the first mode of a structure, which will also be the lowest natural frequency.
A Design Guide for Footfall Induced Vibration of Structures by M.R. Willford, P. Young