Effect of Fractal Tree Structures on Fruit’s Vibration Amplitude in Mechanical Harvesting Process

Alstrup, S., Holm, J., Lichtenberg, K. D., and Thorup, M. (2005). Maintaining information in fully dynamic trees with top trees. ACM Transactions on Algorithms, 1(2), 243-264.

Blanco-Roldán, G. L., Gil-Ribes, J. A., Kouraba, K., and Castro-García, S. (2009). Effects of trunk shaker duration and repetitions on removal efficiency for the harvesting of oil olives. Applied Engineering in Agriculture, 25, 329-334.

Bovill, C. (1996). Fractal geometry in architecture and design. Boston:Birkha¨ user.

Costa, N., Arezes, P., Quintas, C., and Melo, R. (2013). Vibration exposure in mechanical olive harvesting: workers’ perception. Occupational safety and hygiene. CRC Press, Boca Raton, FL, USA, 417-420.

Deboli, R., Calvo, A., Preti, C., and Inserillo, M. (2014). Design and test of a device for
acceleration reproducibility of hand held olive harvesters. International Journal of Industrial
Ergonomics, 44, 581-589.

El Attar, M., Awady, M. E., Rashwan, M., and Genaidy, M. (2004). Physical properties effects on shaker-model harvesting of olive-trees. 12th Conference of Miser Society of Agricultural Engineering, Giza, Egypt, 4-5.

FEDER, J. (1988). Fractals. New York and London, Plenum Press, 278.

Giametta, G., and Bernardi, B. (2010). Olive grove equipment technology. Straddling trees:
mechanized olive harvests. Advances in Horticultural Science, 64-70.

He, L., Fu, H., Karkee, M., and Zhang, Q. (2017). Effect of fruit location on apple detachment
with mechanical shaking. Biosystems Engineering, 157, 63-71.

Horton, R. E. (1945). Erosional Development of Streams and their Drainage Basins; Hydrophysical Approach to Quantitative Morphology. Geological Society of American Bulletin, 56(3), 275-370.

James, K. R. (2010). A dynamic structural analysis of trees subject to wind loading.‌ Australia, Melbourne, Melbourne School of Land and Environments, The University of Melbourne.

Lavee, S. (2010). Integrated mechanical, chemical and horticultural methodologies for harvesting
of oil olives and the potential interaction with different growing systems: A general review.
Advances in Horticultural Science, 1000-1011.

Mandelbrot, B. (1967). How long is the coastline of Britain? Statistical self-similarity and fractal dimension. Science, New Series, 156, 636-638.

Mandelbrot, B. B. (1982). The Fractal Geometry of Nature. San Francisco, W. H. Freeman, 460.

Mandelbrot, B. B. (1983). Fractal geometry of nature. W. H. Freeman Company.

Masters, B. R. (2004). Fractal analysis of the vascular tree in the human retina. Annual Review of Biomedical Engineering, 6, 427–452.

Moreno, R., Torregrosa, A., Moltó, E., and Chueca, P. (2015). Effect of harvesting with a trunk shaker and an abscission chemical on fruit detachment and defoliation of citrus grown under Mediterranean conditions. Spanish Journal of Agricultural Research, 13, 1-12.

Newman, W. I., Turcotte, D. L., and Gabrielov, A. M. (1997). Fractal trees with side branching. World Scientific Publishing Company, Fractals, 5(4), 603-614.

Oleschko, K., Brambila, F., Aceff, F., and Mora, L.P. (1998). From fractal analysis along a line to fractals on the plane. Soil & Tillage Res., 45, 389–406.

Peça, J., Dias, A. B., Pinheiro, A., and Falcão, J. (2019). Continuous harvesting of olive orchards with wide canopies in hedge. 77th International Conference on Agricultural Engineering, Hanover, Germany, VDI-Berichte, 213-222.

Peitgen, H. O., J¨urgens, H., and Saupe, D. (1992). Chaos and Fractals. New Frontiers of Science, Berlin: Springer-Verlag, 984 pp.

Ravetti, L., and Robb, S. (2010). Continuous mechanical harvesting in modern Australian olive growing systems. Advances in Horticultural Science, 71-77.

Rian, I. M., Park, J. H., and Ahn, H. U. (2007). Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple, Khajuraho. Building and Environment, 42, 4093–4107.

Saraçoğlu, T., Cakmak, B., Özarslan, C., and Alayunt, F. N. (2011). Vibration and noise
characteristics of hook type olive harvesters. African Journal of Biotechnology, 10, 8074-8081.

Schroeder, M. (1991). Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise. San Francisco: W.H. Freeman, 429 pp.

Sola-Guirado, R., Jimenez-Jimenez, F., Blanco-Roldan, G., Castro-Garcia, S., Castillo-Ruiz, F.,
and Gil-Ribes, J. A. (2016). Vibration parameters assessment to develop a continuous lateral canopy shaker for mechanical harvesting of traditional olive trees. Spanish Journal of Agricultural Research, 14, 0204.

Sola-Guirado, R. R., Blanco-Roldan, G. L., Castro-Garcia, S., Castillo-Ruiz, F. J., and GilRibes, J. A. (2018). Innovative circular path harvester for mechanical harvesting of irregular and large-canopy olive trees. International Journal of Agricultural and Biological Engineering, 11, 86-93.

Sola-Guirado, R. R., Castro-García, S., Blanco-Roldán, G. L., Jiménez-Jiménez, F., CastilloRuiz, F. J., and Gil-Ribes, J. A. (2014). Traditional olive tree response to oil olive harvesting technologies. Biosystems Engineering, 118, 186-193.

Tous, J., Romero, A., and Hermoso, J. (2010). New trends in olive orchard design for continuous mechanical harvesting. Advances in Horticultural Science, 24(1), 43-52.

Vieri, M., and Sarri, D. (2010). Criteria for introducing mechanical harvesting of oil olives: results of a five-year project in Central Italy. Advances in Horticultural Science, 24(1), 78-90.

Zhang, Z., Heinemann, P. H., Liu, J., Baugher, T. A., and Schupp, J. R. (2016). The development of mechanical apple harvesting technology: A review. Transactions of the ASABE, 59, 1165-1180.

Zhou, J., He, L., Zhang, Q., Du, X., Chen, D., and Karkee, M. (2013). Evaluation of the influence
of shaking frequency and duration in mechanical harvesting of sweet cherry. Applied Engineering in Agriculture, 29, 607-612.