Abstract

This research work investigates the possibility to use a hygroscopic model based on Fick’s law to predict the global moisture content variations an historical violin undergoes during a concert. To set up the model to work some input are required such as: the object geometries, the wood species used, the thicknesses, the moisture diffusion coefficients, the permeability of varnished surfaces, the anhydrous masses of the moisture exchanging parts, the sorption isotherms, information often far from being available or measurable. At a first extent, the model was run on the environmental conditions recorded during nine concerts played with the “Cannone” violin (1743) and the computed mass variations compared with the mass variations recorded during the same concerts. The model, set with simplifying conditions and with diffusion coefficients from literature, has shown a very little predictive capacity. On the other hand, the model was tuned on the experimental data using an inverse procedure for moisture diffusion coefficient identification. After the tuning the model has shown a very good predictive ability showing how Fick’s low can be profitably used to assess the mass transfer in a complex heritage object such as a violin. This paper highlights the possibility to successfully use the Fick’s law to model mass transfer in a violin but also makes evident how such models must be tuned with real measurements in order to be effective.

Highlights

  • Moisture content variations have important consequences on the dimensions, shape, stresses, physical and mechanical properties of wooden objects [1, 2]

  • ΔRH reports the difference in relative humidity between the average conservation relative humidity and the average relative humidity recorded during the concert

  • Mass variation (ΔM) stands for the mass variation of the violin during the concert because moisture adsorption/desorption, Time outside the showcase (TOC) is the Time Outside the showcase and corresponds to the amount of time the violin spends outside the showcase for the concert

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Summary

Introduction

Moisture content variations have important consequences on the dimensions, shape, stresses, physical and mechanical properties of wooden objects [1, 2]. The recent European COST Action FP1302 “– WOODen MUSical Instrument Conservation and Knowledge” was investigating the issue of playing cultural heritage musical instrument showing how important this topic is for the conservation of these objects [17]. The understanding of these phenomena is fundamental for conservation of cultural heritage such as the violin Guarneri “del Gesù” (1743) known as the “Cannone”, the piece of work analysed in this study. In order to develop a hygroscopic model of the violin during its use, a series of environmental and mass measurements were recorded during nine concerts. These concerts exhibit quite different environmental sceneries in terms of environmental conditions, concert duration, and violin

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