An efficient analytical method to obtain the homogenised frequency-independent elastic material properties of cross-laminated timber elements

Cross-Laminated Timber (CLT) is a renewable, sustainable, and cost-efficient building element that has been growing in popularity recent years. To improve one of its weaknesses, suboptimal noise vibration isolation performance, computationally efficient, accessible, extensible CLT vibro-acoustic models are required. An effective approach for such the homogenisation layered materials. This paper presents validated method based on First-Order Shear Deformation Theory (FSDT) obtains frequency-independent elastic material properties. It applicable to arbitrary stacking sequences orientations. The homogenised properties utilised with FSDT Equivalent Single Layer (ESL) readily implemented many finite codes calculate behaviour elements, even including thickness resonance effects when applied an appropriate model. presented numerical study by comparing mechanical mobilities ESL against layerwise dynamic models. conducted 5-ply model, 2- 7-ply plates proportionally increasing thicknesses three idealised boundary conditions. allow graphical exploration anisotropic nature calculation universal index considered plates. flexibility method, combined ready implementation already widely can have application impact beyond considerations CLT, into general modelling as it ever more advanced applications. • Frequency-independent broadband cross-laminated timber. A various ply-orientations. Thickness effect captured Study conditions equivalent single layer Universal anisotropy timber General consideration