A high-order finite element model for vibration analysis of cross-laminated timber assemblies. Issue 3 (September 2017)

• Record Type: Journal Article
• Authors: Paolini, Alexander; Kollmannsberger, Stefan; Winter, Christoph; Buchschmid, Martin; Müller, Gerhard; Rabold, Andreas; Mecking, Simon; Schanda, Ulrich; Rank, Ernst
• Is Part Of: Building acoustics. Volume 24:Issue 3(2017)
• Page Start: 135
• Page End: 158
• Publication Date: 2017-09
• Subjects: Cross-laminated timber -- junctions -- elastomer -- finite element method -- p-version -- modal analysis -- harmonic analysis -- measurements; Soundproofing -- Periodicals; Architectural acoustics -- Periodicals; Acoustical engineering -- Periodicals; Acoustical engineering; Architectural acoustics; Soundproofing; Periodicals; 693.834
• DOI: 10.1177/1351010X17727126
• Languages: English
• ISSNs: 1351-010X

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 cross-laminated 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.