Estimation of the static modulus of elasticity of wood from the dynamic modulus of elasticity

  • Xuxan Rosas-Ramos Laboratorio de Anatomía y Tecnología de la Madera, Universidad Autónoma Chapingo, Carretera Federal México-Texcoco, Km 38.5, 56230 Texcoco, Estado de México https://orcid.org/0000-0002-1015-5415
  • Luis Acuña-Rello Laboratorio de Maderas, Escuela Técnica Superior de Ingenierías Agrarias, Universidad de Valladolid, Av. de Madrid 50, 34004 Palencia, España https://orcid.org/0000-0002-9657-8215
  • Milagros Casado-Sanz Laboratorio de Maderas, Escuela Técnica Superior de Ingenierías Agrarias, Universidad de Valladolid, Av. de Madrid 50, 34004 Palencia, España https://orcid.org/0000-0002-1860-5230
  • Roberto Martínez-López Laboratorio de Maderas, Escuela Técnica Superior de Ingenierías Agrarias, Universidad de Valladolid, Av. de Madrid 50, 34004 Palencia, España https://orcid.org/0000-0002-0567-1781
  • Amparo Borja-De la Rosa Laboratorio de Anatomía y Tecnología de la Madera, Universidad Autónoma Chapingo, Carretera Federal México-Texcoco, Km 38.5, 56230 Texcoco, Estado de México https://orcid.org/0000-0002-6127-0501
  • Liliana Cuapio-Hernández Laboratorio de Anatomía y Tecnología de la Madera, Universidad Autónoma Chapingo, Carretera Federal México-Texcoco, Km 38.5, 56230 Texcoco, Estado de México https://orcid.org/0000-0003-0952-8525
  • Roberto Machuca-Velasco Laboratorio de Anatomía y Tecnología de la Madera, Universidad Autónoma Chapingo, Carretera Federal México-Texcoco, Km 38.5, 56230 Texcoco, Estado de México https://orcid.org/0000-0001-9840-7439
Keywords: longitudinal vibrations, non-destructive testing, Pinus-sylvestris, Populus × euramericana, static bending, transversal vibrations, ultrasound

Abstract

Aim of study: Analyze the behavior and predictive capacity of different non-destructive testing (NDT) methods—ultrasound, longitudinal and transverse vibrations, and static bending— for estimating the MOEGTO in two species of great forestry interest in Europe: Pinus sylvestris and Populus × euramericana. Additionally, this study focuses on developing global prediction models for MOEGTO using the NDT modulus of elasticity from both species, and on improving the reliability of prediction through the cross-validation process.

Area of study: Provenance Region 8 (Northern Iberian System, Spain) and Ribera del Carrión (Palencia, Spain).

Material and methods: A total 75 sawn lumber samples (45 of Pinus sylvestris and 30 of Populus x euramericana) with dimensions of 60 × 40 × 1200 mm were analyzed using ultrasonic testing, longitudinal and transverse vibration methods, and both destructive and non-destructive static bending tests performed with a universal testing machine. Regression models were developed to predict the static modulus of elasticity (MOEGTO).

Main results: The prediction model using the NDT method of longitudinal vibrations with Fast Fourier Transform (FFT) software for Pinus sylvestris showed the highest coefficient of determination with R2= 0.56, while for Populus × euramericana, the ultrasound method with the Sylvatest 4 device yielded R2= 0.67. For both species, the best-fit global prediction model was obtained with the ultrasound method using the Sylvatest Trio device, achieving R2= 0.60. Additionally, the application of cross-validation improved the predictive performance of the global models, particularly for the three ultrasound methods and the longitudinal vibration method, all of which attained R2 values above 0.6.

Research highlights: This study confirms the reliability of ultrasound and longitudinal vibration techniques for estimating MOEGTO and contributes new insights by comparing multiple NDT methods across two species and developing robust cross-validated global prediction models.

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Published
2026-01-20
How to Cite
Rosas-Ramos, X., Acuña-Rello, L., Casado-Sanz, M., Martínez-López, R., Borja-De la Rosa, A., Cuapio-Hernández, L., & Machuca-Velasco, R. (2026). Estimation of the static modulus of elasticity of wood from the dynamic modulus of elasticity. Forest Systems, 34(3), 21023. https://doi.org/10.5424/fs/2025343-21023
Section
Research Articles