By S.A. Tobias, F. Koenigsberger

ISBN-10: 1349018570

ISBN-13: 9781349018574

ISBN-10: 1349018597

ISBN-13: 9781349018598

ISBN-10: 4034093153

ISBN-13: 9784034093153

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Extra resources for Proceedings of the Thirteenth International Machine Tool Design and Research Conference

Example text

Thus the useful application of the exact method would seem unlikely, for even if formulated it would be most tedious to apply to a multi-degree of freedom system. The work to be presented is concerned with a continuous system subjected at one point to a sinusoidal force excitation having a range of magnitudes and frequencies. An attempt is made to justify a linearisation of the frictional force; this enables a theoretical optimisation of the damper force and its support flexibility to be made. THEORETICAL ANALYSIS Damper linearisation When a damped system is excited by a sinusoidally varying force then, provided the damping forces are linear functions, their magnitudes also vary sinusoidally * Department of Mechanical Engineering, Queen Mary College, London.

Optimum theoretical response curve for a flexibly mounted frictional damper: system of figure I (c). II II I \ ~ ~ c Q 0u c "' 0 0 E frequency ral1o R Figure 6. Optimum theoretical response curves: system of figure l(b). Optimum Q frictional damper, optimum C viscous damper. ;::: I \ \ \ u I I I I \ System I Certain requirements for optimum damping can be interpreted from figure 6. At zero frequency the damper is clamped and hence the initial response will start from A. 0 100 frequency ral10 R Figure 8.

Optimum Q frictional damper, optimum C viscous damper. ;::: I \ \ \ u I I I I \ System I Certain requirements for optimum damping can be interpreted from figure 6. At zero frequency the damper is clamped and hence the initial response will start from A. 0 100 frequency ral10 R Figure 8. Optimum theoretical response curve for a flexibly mounted viscous damper: system of figure l(c). 38 A RESPONSE PREDICTION AND OPTIMISATION OF A FRICTIONALLY DAMPED STRUCTURE damper system optimum response involves only one variable Q, while for the flexibly mounted frictional damper system there are two variables Q and L.

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Proceedings of the Thirteenth International Machine Tool Design and Research Conference by S.A. Tobias, F. Koenigsberger


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