The Structural Engineer > Archive > Volume 94 (2016) > Issue 1 > Simplified dynamic analysis of beams and slabs with tuned mass dampers
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Simplified dynamic analysis of beams and slabs with tuned mass dampers

Understanding the dynamic response of a structure or structural element can be a daunting task, particularly for practising engineers normally only concerned with the static design of structures. Many structural engineers will be familiar with the dynamic response of simple single-degree-of-freedom (SDOF) models. However, very few structures will correspond directly to such a form, which usually means computerised solutions are embarked upon, structures are radically altered, possibly needlessly, or problems passed to dynamics specialists.

This paper simplifies the analysis to provide arithmetic solutions and a means of understanding the dynamic response of a structure. It also provides a means to verify computer modelling and estimate the characteristics (mass, stiffness and damping) of a TMD to address any residual problematic dynamic response. This enables the design provision for the additional weight attached to the structure and the required space, if a TMD is deemed to be necessary. A worked example of a simply supported welded steel box girder footbridge is presented.

Author(s): A. Robertson