1. Berry, P. M. et al. Understanding and reducing lodging in cereals. Adv. Agron. 84, 217–271 (2004).
2. Tirado, S. B., Hirsch, C. N. & Springer, N. M. Utilizing temporal measurements from UAVs to assess root lodging in maize and its
impact on productivity. F. Crop. Res. 262, 108014 (2021).
3. Ookawa, T. et al. New approach for rice improvement using a pleiotropic QTL gene for lodging resistance and yield. Nat. Commun.
1, 132 (2010).
4. Berry, P. M. et al. Development and application of a model for calculating the risk of stem and root lodging in maize. F. Crop. Res.
262, 108037 (2021).
5. Farquhar, T., Meyer, H. & Van Beem, J. Effect of aeroelasticity on the aerodynamics of wheat. Mater. Sci. Eng. C 7, 111–117 (1999).
6. Gardiner, B., Berry, P. & Moulia, B. Review: Wind impacts on plant growth, mechanics and damage. Plant Sci. 245, 94–118 (2016).
7. Joseph, G. M. D. et al. Determination of crop dynamic and aerodynamic parameters for lodging prediction. J. Wind Eng. Ind.
Aerodyn. 202, 104169 (2020).
8. Al-Zube, L., Sun, W., Robertson, D. & Cook, D. The elastic modulus for maize stems. Plant Methods 14, 1–12 (2018).
9. Nakata, M. T., Takahara, M., Sakamoto, S., Yoshida, K. & Mitsuda, N. High-throughput analysis of arabidopsis stem vibrations to
identify mutants with altered mechanical properties. Front. Plant Sci. 9, 1–15 (2018).
10. Zajączkowska, U., Kucharski, S., Nowak, Z. & Grabowska, K. Morphometric and mechanical characteristics of Equisetum hyemale
stem enhance its vibration. Planta 245, 835–848 (2017).
11. Żebrowski, J. Dynamic behaviour of inflorescence-bearing Triticale and Triticum stems. Planta 207, 410–417 (1999).
12. Baker, C. J. The development of a theoretical model for the windthrow of plants. J. Theor. Biol. 175, 355–372 (1995).
13. Baker, C. J. et al. A method for the assessment of the risk of wheat lodging. J. Theor. Biol. 194, 587–603 (1998).
14. Baker, C. J., Sterling, M. & Berry, P. A generalised model of crop lodging. J. Theor. Biol. 363, 1–12 (2014).
15. Burr, B. & Burr, F. A. Recombinant inbreds for molecular mapping in Maize. Trends Genet. 7, 55–60 (1991).
16. Coque, M., Bertin, P., Hirel, B. & Gallais, A. Genetic variation and QTLs for 15N natural abundance in a set of maize recombinant
inbred lines. F. Crop. Res. 97, 310–321 (2006).
Scientific Reports |
Vol:.(1234567890)
(2023) 13:4914 |
https://doi.org/10.1038/s41598-023-32130-5
10
www.nature.com/scientificreports/
17. Pineda-Hidalgo, K. V. et al. Characterization of free amino acid QTLs in maize opaque2 recombinant inbred lines. J. Cereal Sci.
53, 250–258 (2011).
18. Huang, J., Liu, W., Zhou, F., Peng, Y. & Wang, N. Mechanical properties of maize fibre bundles and their contribution to lodging
resistance. Biosyst. Eng. 151, 298–307 (2016).
19. Adamo, F., Attivissimo, F., Fabbiano, L., Giaquinto, N. & Spadavecchia, M. Soil moisture assessment by means of compressional
and shear wave velocities: Theoretical analysis and experimental setup. Meas. J. Int. Meas. Confed. 43, 344–352 (2010).
20. Koper, K. D., Wallace, T. C. & Aster, R. C. Seismic recordings of the Carlsbad, New Mexico, pipeline explosion of 19 August 2000.
Bull. Seismol. Soc. Am. 93, 1427–1432 (2003).
21. Fortin, J., Guéguen, Y. & Schubnel, A. Effects of pore collapse and grain crushing on ultrasonic velocities and Vp/Vs. J. Geophys.
Res. Solid Earth 112, 1–16 (2007).
22. Taylor, O.-D.S., Abdollahi, M. & Vahedifard, F. Statistical distributions of wave velocities and elastic moduli in near-surface
unsaturated soils. Soil Dyn. Earthq. Eng. 157, 107247 (2022).
23. Arai, H. & Tokimatsu, K. S-wave velocity profiling by inversion of microtremor H/V spectrum. Bull. Seismol. Soc. Am. 94, 53–63
(2004).
24. Brincker, R. & Zhang, L. Frequency domain decomposition revisited. IOMAC 2009—3rd Int. Oper. Modal Anal. Conf. 615–626
(2009).
25. Uebayashi, H., Cho, I., Ohori, M., Yoshida, K. & Arai, H. The effect of body waves on phase-velocity determined by the spatial
autocorrelation (SPAC) method, evaluated using full-wave modelling. Explor. Geophys. 51, 483–493 (2020).
26. Dreossi, I. & Parolai, S. Robust estimation of 1D shear-wave quality factor profiles for site response analysis using seismic noise.
Soil Dyn. Earthq. Eng. 161, 107387 (2022).
27. Acar, C. & Shkel, A. MEMS vibratory gyroscopes: structural approaches to improve robustness (Springer, 2008).
28. Bhattacharya, S., Murali Krishna, A., Lombardi, D., Crewe, A. & Alexander, N. Economic MEMS based 3-axis water proof accelerometer for dynamic geo-engineering applications. Soil Dyn. Earthq. Eng. 36, 111–118 (2012).
29. Hou, Y., Jiao, R. & Yu, H. MEMS based geophones and seismometers. Sensors Actuators A Phys. 318, 112498 (2021).
30. Cui, J. et al. Design and optimization of MEMS heart sound sensor based on bionic structure. Sensors Actuators A Phys. 333, 113188
(2022).
31. Gockenbach, M. S. Understanding and implementing the finite element method (SIAM, 2006).
32. Taylor, R. L. & Papadopoulos, P. On a finite element method for dynamic contact/impact problems. Int. J. Numer. Methods Eng.
36, 2123–2140 (1993).
33. Rahardjo, H. et al. Tree stability in an improved soil to withstand wind loading. Urban For. Urban Green. 8, 237–247 (2009).
34. Sellier, D., Fourcaud, T. & Lac, P. A finite element model for investigating effects of aerial architecture on tree oscillations. Tree
Physiol. 26, 799–806 (2006).
35. Dupuy, L. X., Fourcaud, T., Lac, P. & Stokes, A. A generic 3D finite element model of tree anchorage integrating soil mechanics
and real root system architecture. Am. J. Bot. 94, 1506–1514 (2007).
36. Lamb, H. On waves in an elastic plate. Proc. R. Soc. Lond. Ser. A Contain Pap. A Math. Phys. Charact. 93, 114–128 (1917).
37. Wang, L. & Yuan, F. G. Group velocity and characteristic wave curves of Lamb waves in composites: Modeling and experiments.
Compos. Sci. Technol. 67, 1370–1384 (2007).
38. Houzeaux, G. et al. Domain decomposition methods for domain composition purpose: Chimera, overset, gluing and sliding mesh
methods. Arch. Comput. Methods Eng. 24, 1033–1070 (2017).
39. Von Forell, G., Robertson, D., Lee, S. Y. & Cook, D. D. Preventing lodging in bioenergy crops: A biomechanical analysis of maize
stalks suggests a new approach. J. Exp. Bot. 66, 4367–4371 (2015).
40. Gangwar, T. et al. Multi-scale modelling predicts plant stem bending behaviour in response to wind to inform lodging resistance.
R. Soc. Open Sci. 10, 221410 (2023).
41. Chesshire, G. & Henshaw, W. D. Composite overlapping meshes for the solution of partial differential equations. J. Comput. Phys.
90, 1–64 (1990).
42. Bathe, K. J. & Zhang, L. The finite element method with overlapping elements—a new paradigm for CAD driven simulations.
Comput. Struct. 182, 526–539 (2017).
43. Huang, J. & Bathe, K. J. Overlapping finite element meshes in AMORE. Adv. Eng. Softw. 144, 102791 (2020).
44. Sievänen, R., Perttunen, J., Nikinmaa, E. & Posada, J. M. Functional structural plant models—Case LIGNUM. Plant growth model.
Simulation, Vis. Appl. Proc.—PMA09 3–9 (2009)
45. Hudek, C., Sturrock, C. J., Atkinson, B. S., Stanchi, S. & Freppaz, M. Root morphology and biomechanical characteristics of high
altitude alpine plant species and their potential application in soil stabilization. Ecol. Eng. 109, 228–239 (2017).
46. Ndour, A., Vadez, V., Pradal, C. & Lucas, M. Virtual plants need water too: Functional-structural root system models in the context
of drought tolerance breeding. Front. Plant Sci. 8, 1577 (2017).
47. Munz, E. et al. A functional imaging study of germinating oilseed rape seed. New Phytol. 216, 1181–1190 (2017).
48. Mascia, N. T. & Nicolas, E. A. Determination of Poisson’s ratios in relation to fiber angle of a tropical wood species. Constr. Build.
Mater. 41, 691–696 (2013).
49. Kim, G.-W. et al. Determination of the viscoelastic properties of apple flesh under quasi-static compression based on finite element
method optimization. Food Sci. Technol. Res. 14, 221–231 (2008).
50. Baker, C.J., Sterling, M. & Berry, P. A generalised model of crop lodging. J. Theor. Biol. 363, 1–12 (2014).
51. Robbins, H. & Monro, S. A stochastic approximation method. Ann. Math. Stat. 22, 400–407 (1951).
Acknowledgements
Funding was provided by the Japan Society for the Promotion of Science Grant Numbers 17J02383, 20K22599,
21K05537 and 22K14964.
Author contributions
T.N., Y.K., T.M., M.Y., H.Y., and H.T. designed the study. T.N., T.M., and M. Y. H.Y. collected experimental data.
H.T., V.S., H.K., and H.M. proposed the numerical analysis scheme and implemented the software. T.N. and H.T.
developed and standardized the protocols. T.N., H.K., H.M., W.G. and H.T. analyzed the data, and all authors
wrote the paper.
Competing interests The authors declare no competing interests.
Additional information
Correspondence and requests for materials should be addressed to H.T.
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