A high-order finite element model for vibration analysis of cross-laminated timber assemblies

Abstract

The vibration behavior of cross-laminated timber components in the low-frequency range can be predicted with high accuracy by the finite element method. However, the modeling of assembled cross-laminated timber components has been studied only scarcely. The three-dimensional p-version of the finite element method, which is characterized by hierarchic high-order shape functions, is well suited to consider coupling and support conditions. Furthermore, a small number of degrees of freedom can be obtained in case of thin-walled structures using p-elements with high aspect ratios and anisotropic ansatz spaces. In this article, a model for cross-laminated timber assemblies made of volumetric high-order finite elements is presented. Two representative types of connections are investigated, one with an elastomer between the crosslaminated timber components and the other without. The model is validated, and suitable ranges for the stiffness parameters of the finite elements which represent the junctions are identified.

Direct Computation of 3-D Stress Intensity Factors of Straight and Curved Planar Cracks with the P-Version Finite Element Method and Contour Integral Method

“…Generally, the p-version FEM is superior to the traditional h-version FEM. The application of the p-version FEM in three dimensions, including in three -dimensional linear elastic fracture analysis, can be found in [ 21 , 22 , 23 , 24 , 25 , 26 , 27 ].…”

Numerical prediction and experimental validation of impact sound radiation by timber joist floors

“…The ensemble mean of the sound energyÊ a is easily computed using Eqs. (21) to (23). The normalized impact sound pressure level in the receiving room equals:…”

“…Kohrmann [2] constructed detailed FE models to extensively analyze vibration of various Cross-Laminated Timber (CLT) plates with lumber joists, hollow box girders, floating floors, and suspended ceilings. Paolini et al [21] developed a high-order FE model of a CLT structure, and the unknown model parameters were determined by matching simulated and measured modal results in an iterative model calibration process. Bard et al [22] proposed numerical simulations using different techniques.…”

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

“…In vibro-acoustics, CLT may be modelled on a layerwise basis with homogenised layers (laminae/plies) that do not consider the individual timber planks [5][6][7]. To simplify the solution of such models, CLT elements can be further homogenised to act as an Equivalent Single Layer (ESL).…”