Ground Vibration Engineering Simplified Analyses with Case Studies a
Ground vibration consideration is gaining significance with people’s decreasing tolerance of vibration, introduction of new environmental legislations, increasing use of equipment sensitive to vibration, ageing of existing buildings and expanding construc
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The MS Excel spreadsheet format is used for maximum portability. Microsoft provides MS Excel Viewer free of charge at its Internet web site. The spreadsheets are kept as simple as possible. If MS Excel complains at the start about the security level of macros please click on Tools then Macro then Security and adjust the security level to at least medium. The spreadsheet must be exited and re-entered for the change made to take place. The spreadsheets are applicable to the vase studies and examples considered in this monograph.
1 Fast Fourier Transform, Filtering and Inverse Fast Fourier Transform The work book is referred in Section 4.2.1.1. A work sheet from the work book is shown in Fig. 1
2 Polynomial Base Line Correction The work book is referred in Section 4.3.1. A work sheet from the work book is shown in Fig. 2
3 Elastic Response Spectra of a Single Degree of Freedom Oscillator The work book is referred in Section 4.4.3.1. A work sheet from the work book is shown in Fig. 3
4 Peak Particle Velocities from Piles Driving The work book is referred in Section 7.2.1.2. A work sheet from the work book is shown in Fig. 4 M. Srbulov, Ground Vibration Engineering, Geotechnical, Geological, and Earthquake Engineering 12, DOI 10.1007/978-90-481-9082-9, C Springer Science+Business Media B.V. 2010
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Fig. 1 Works sheet Inverse FFT of filtered record in the work book Appendix 1
204 Appendices
Fig. 2 Work sheet Base line corrected time series in the work book Appendix 2
Appendices 205
Fig. 3 Work sheet Spectra in the work book Appendix 3
206 Appendices
Fig. 4 Work sheet H pile in the work book Appendix 4
Appendices 207
208
Appendices
5 Peak Particle Velocities from Vibratory Rollers The work book is referred in Section 7.2.2.2. A work sheet from the work book is shown in Fig. 5
6 Vibration Properties of a Shallow Foundation for Compressor The work book is referred in Section 7.4.2. A work sheet from the work book is shown in Fig. 6 Wolf (1994) described a discrete element model for coupled rocking and horizontal displacement of foundation of a three-cylinder compressor. The 2D discrete element model is shown in Fig. 7.52. Soil reaction to foundation movement is considered in the horizontal direction and in rotation by elastic springs and dashpots. The elastic spring and dashpot with negative coefficients are artificial and are introduced by Wolf (1994). The two triangles under the foundation represent trapped soil beneath foundation for Poisson’s ratio greater than 1/3 (Wolf, 1994). The relationship for soil reaction moment contains a convolution integral in time. As an alternative to the recursive evaluation of the convolution integral, a physical discrete element model, which incorporates rigorously the convolution implicitly, is used according to Wolf (1994). The equation of the model rotational motion is: (ΔMθ + I) · θ¨o + Kθ · θo −
Kθ · (θo − θ1 ) + Cθ · θ˙o − C · e · u˙ o − K · e · uo = M (1) 3
An additional internal rotational degree of freedom located within the foundation soil and connected
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