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Utilisation of hardwood in cross-laminated timber - A numerical study on vibrations in floors

Jonasson, Johannes LU and Karlsson, Olle LU (2022) In TVSM-5000 VSMM01 20221
Structural Mechanics
Department of Construction Sciences
Abstract
Cross-laminated timber (CLT) is an engineered wood product consisting of several layers of laminations bonded together with adhesives. In contrast to heavier construction materials, timber and other lightweight building materials are more prone to serviceability issues due to vibrations. In Sweden, the raw material used for CLT is mainly pine and spruce, which are softwoods. However, different wood species are available, such as birch and beech, which are the most common hardwood species in Sweden and Europe, respectively. In addition, previous research indicates potential advantages with utilisation of hardwood in CLT with regard to vibroacoustic performance. Thus, the present work aims to further examine if benefits with regard to... (More)
Cross-laminated timber (CLT) is an engineered wood product consisting of several layers of laminations bonded together with adhesives. In contrast to heavier construction materials, timber and other lightweight building materials are more prone to serviceability issues due to vibrations. In Sweden, the raw material used for CLT is mainly pine and spruce, which are softwoods. However, different wood species are available, such as birch and beech, which are the most common hardwood species in Sweden and Europe, respectively. In addition, previous research indicates potential advantages with utilisation of hardwood in CLT with regard to vibroacoustic performance. Thus, the present work aims to further examine if benefits with regard to vibrations in CLT floor panels can be obtained by utilising hardwood.

Initially, three different numerical models were created to determine a suitable modelling approach for CLT. A high-fidelity model where each lamination was modelled individually, a layered model where each layer was modelled individually, and a twodimensional composite model were created. In addition, experimental testing was carried out on a real CLT panel to obtain data which the numerical models could be compared to. The layered model matched the experimental results the best and was thus considered for further validation.

The material parameters of the layered model were calibrated with Newton optimisation, where the most influential parameters of the model were altered. Several different calibrations were performed, where the most accurate calibration with regard to the normalised relative frequency difference (NRFD) yielded an average NRFD of less than one percent considering the first nine modes. Consequently, this modelling approach was considered valid.

A case study was conducted to determine the effect utilisation of different wood species has on the dynamic behaviour of CLT floor panels. Three differently sized panels with different lay-ups were tested, where all three panels fulfil the current design criteria to ensure practical relevance. The dynamic behaviour was evaluated by the means of modal properties, frequency response functions and acceleration response from footfall loading.

The analysis on the modal properties showed that changing material from spruce to birch and beech had little effect on the modal order for all tested panels. The material change did however affect the natural frequencies of the tested floor panels to various degrees, and the fundamental frequency was generally lowered.

The effect on the frequency response functions showed that the natural frequencies were altered, and that the fundamental frequency was generally lowered when utilising birch and beech instead of spruce. In addition, the magnitude of the accelerations was observed to be lowered when utilising birch and beech, where the larger panels were affected slightly more by material change than the smaller panels.

The acceleration response from footfalls was analysed by simulating five consecutive steps walking straight across the length of the CLT panels. For each panel and for each wood species, ten different walking frequencies were tested.

The walking frequency was shown to have a large impact on the acceleration response of the panels. By examining the frequency content of the acceleration response with a fast Fourier transformation, it was observed that the response was amplified if a harmonic of the walking frequency matched the fundamental frequency of the panel. In addition, up to the ninth harmonic of the walking frequency amplifies the acceleration response to a large extent. Consequently, design methods considering only a single walking frequency might not yield the largest acceleration response.

Utilising hardwood yielded a significant reduction in acceleration response due to footfalls. The RMS values of the acceleration responses was reduced by up to 70% when using birch and beech instead of spruce. In addition, the reduction was more significant for the larger panels. (Less)
Popular Abstract
For the past 30 years, cross-laminated timber has seen exponential growth in building applications. Cross-laminated timber (CLT) is an engineered wood product where timber laminations are bonded together crosswise in layers with adhesives. In contrast to heavier construction materials, timber and other lightweight building materials are more prone to serviceability issues due to vibrating floors in buildings. Improved dynamic performance in CLT panels can be obtained by utilising hardwoods such as birch and beech instead of traditionally used spruce.

The aim of the project was to study potential improved dynamic performance of CLT by utilisation of hardwood. To fulfil this aim, the following research questions were formulated:

-... (More)
For the past 30 years, cross-laminated timber has seen exponential growth in building applications. Cross-laminated timber (CLT) is an engineered wood product where timber laminations are bonded together crosswise in layers with adhesives. In contrast to heavier construction materials, timber and other lightweight building materials are more prone to serviceability issues due to vibrating floors in buildings. Improved dynamic performance in CLT panels can be obtained by utilising hardwoods such as birch and beech instead of traditionally used spruce.

The aim of the project was to study potential improved dynamic performance of CLT by utilisation of hardwood. To fulfil this aim, the following research questions were formulated:

- What is a viable computer-based modelling approach for modelling the dynamic behaviour of a real-life CLT panel?
- How does the method of modelling footfalls affect the acceleration response of a CLT floor panel? Is the response altered with different walking speeds?
- Can vibrations in CLT floors be reduced by utilising hardwoods?

To determine an appropriate modelling approach of CLT, three different computer-based models were created based on the finite element method. Experimental testing was carried out on a real CLT panel to obtain experimental data. The data was then compared to the finite element models to determine which model mimicked the real panels’ behaviour the best.

The modelling approach which matched the response of the tested panel the best was further validated by calibrating the material parameters of the model. They were calibrated so the dynamic behaviour of the model matched the behaviour of the test panel as closely as possible. One of the calibrations resulted in an average relative frequency difference of less than one percent between the calibrated model and the experimental results for the first nine vibration modes.

Three panels of different sizes and layer set-ups were studied by numerical analyses with regard to modal properties, broadband response, and acceleration response due to footfall.

The analysis studying the acceleration response due to footfalls showed that the walking frequency had a large impact on the dynamic response of CLT floor panels. In Figure 3, the acceleration response for two different walking frequencies is shown. The response was measured for ten walking frequencies between 1.5 and 2.4 Hz for the three differently sized panels, utilising the wood species spruce, birch and beech. The magnitude of the response was shown to be highly amplified if a harmonic to the walking frequencies matched the fundamental frequency well, with harmonics meaning a multiplication of the frequency of the. For example, the third harmonic of a walking frequency of 2 Hz would be 6 Hz. Because of this, design methods considering only a single walking frequency might result in misrepresentation of the actual dynamic response.

The magnitude of the acceleration response due to footfall was shown to be reduced by up to 70% by using birch and beech instead of spruce when considering the average response from the ten walking frequencies. When studying the effect on the broadband responses a similar reduction in acceleration response, albeit not as large, was found. Our work indicates that utilisation of hardwood for larger floor-sizes might be more beneficial in comparison to moderate and small floor sizes. (Less)
Please use this url to cite or link to this publication:
author
Jonasson, Johannes LU and Karlsson, Olle LU
supervisor
organization
alternative title
Användning av lövträ i korslimmat trä - En numerisk analys av vibrationer i golvbjälklag
course
VSMM01 20221
year
type
H3 - Professional qualifications (4 Years - )
subject
keywords
hardwood, birch, beech, clt, cross-laminated timber, vibrations, floors, footfall, accelerations
publication/series
TVSM-5000
report number
TVSM-5258
ISSN
0281-6679
language
English
id
9093281
alternative location
https://www.byggmek.lth.se/fileadmin/byggnadsmekanik/publications/tvsm5000/web5258.pdf
date added to LUP
2022-06-29 10:05:47
date last changed
2022-06-29 10:05:47
@misc{9093281,
  abstract     = {{Cross-laminated timber (CLT) is an engineered wood product consisting of several layers of laminations bonded together with adhesives. In contrast to heavier construction materials, timber and other lightweight building materials are more prone to serviceability issues due to vibrations. In Sweden, the raw material used for CLT is mainly pine and spruce, which are softwoods. However, different wood species are available, such as birch and beech, which are the most common hardwood species in Sweden and Europe, respectively. In addition, previous research indicates potential advantages with utilisation of hardwood in CLT with regard to vibroacoustic performance. Thus, the present work aims to further examine if benefits with regard to vibrations in CLT floor panels can be obtained by utilising hardwood. 

Initially, three different numerical models were created to determine a suitable modelling approach for CLT. A high-fidelity model where each lamination was modelled individually, a layered model where each layer was modelled individually, and a twodimensional composite model were created. In addition, experimental testing was carried out on a real CLT panel to obtain data which the numerical models could be compared to. The layered model matched the experimental results the best and was thus considered for further validation. 

The material parameters of the layered model were calibrated with Newton optimisation, where the most influential parameters of the model were altered. Several different calibrations were performed, where the most accurate calibration with regard to the normalised relative frequency difference (NRFD) yielded an average NRFD of less than one percent considering the first nine modes. Consequently, this modelling approach was considered valid. 

A case study was conducted to determine the effect utilisation of different wood species has on the dynamic behaviour of CLT floor panels. Three differently sized panels with different lay-ups were tested, where all three panels fulfil the current design criteria to ensure practical relevance. The dynamic behaviour was evaluated by the means of modal properties, frequency response functions and acceleration response from footfall loading. 

The analysis on the modal properties showed that changing material from spruce to birch and beech had little effect on the modal order for all tested panels. The material change did however affect the natural frequencies of the tested floor panels to various degrees, and the fundamental frequency was generally lowered. 

The effect on the frequency response functions showed that the natural frequencies were altered, and that the fundamental frequency was generally lowered when utilising birch and beech instead of spruce. In addition, the magnitude of the accelerations was observed to be lowered when utilising birch and beech, where the larger panels were affected slightly more by material change than the smaller panels. 

The acceleration response from footfalls was analysed by simulating five consecutive steps walking straight across the length of the CLT panels. For each panel and for each wood species, ten different walking frequencies were tested. 

The walking frequency was shown to have a large impact on the acceleration response of the panels. By examining the frequency content of the acceleration response with a fast Fourier transformation, it was observed that the response was amplified if a harmonic of the walking frequency matched the fundamental frequency of the panel. In addition, up to the ninth harmonic of the walking frequency amplifies the acceleration response to a large extent. Consequently, design methods considering only a single walking frequency might not yield the largest acceleration response. 

Utilising hardwood yielded a significant reduction in acceleration response due to footfalls. The RMS values of the acceleration responses was reduced by up to 70% when using birch and beech instead of spruce. In addition, the reduction was more significant for the larger panels.}},
  author       = {{Jonasson, Johannes and Karlsson, Olle}},
  issn         = {{0281-6679}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{TVSM-5000}},
  title        = {{Utilisation of hardwood in cross-laminated timber - A numerical study on vibrations in floors}},
  year         = {{2022}},
}