Regulations regarding impact and airborne sound insulation for lightweight timber constructions have become increasingly stringent due in particular to complaints by inhabitants. Accordingly, some building techniques frequently use elastomers at junctions so as to reduce low frequency noise. Development of accurate predictive tools (involving exact material properties) by using numerical methods such as the finite element (FE) method is needed in tackling flanking transmission problems during the design phase of buildings. The present research concerns the characterisation of an elastomer, presenting an accurate method for extracting its material properties from the manufacturer's data sheet (properties there being often linked to such structural effects as shape factors and boundary conditions of samples and tests). The properties were extracted by comparing results obtained by analytical calculations, FE simulations, and mechanical testing, separating geometry and material dependence and ultimately serving as input to commercial FE software for setting up the aforementioned prediction tools.
A model for the contact between a rubber covered roller and a rigid roller was developed using analytical functions. The model, being two-dimensional, connects the line load, geometric properties (roller radii, rubber thickness) and the shear modulus of the rubber to nip properties in the roller contact. The output from the model is the indentation of the rigid roller into the rubber, the nip maximum pressure, the nip width and the surface strain in the centre of the nip. Moreover, the shape of the pressure distribution is also given as an analytical expression. The basic assumption relies on the work of Parish (258 and 261), but a development of this work was performed, showing the influence of the rubber shear modulus and also how the surface strain in the nip can be described. The functional relationships are based on least squares fitting of analytical functions, depending on two master variables, to a large number of finite element analysis results.
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