Efficient and accurate methods for computational simulation of netting structures with mesh resistance to opening Amelia de la Prada Arquer DOCTORAL THESIS Advisor: Manuel González Castro Programa Oficial de Doctorado en Ingeniería Industrial Ferrol, July 2014 A mi familia: Florian, Amelia y Manuel To my family: Florian, Amelia y Manuel Aknowledgements This Ph.D. thesis has been conducted at the Mechanical Engineering Laboratory of University of A Coruña, headed by Prof. Javier Cuadrado. This research was motivated by the project PSE-REDES, Subproject 3, Simulation, experimentation and design of fishing gears, supported by the Spanish Ministry of Science and Innovation. First, I wish to express my special gratitude to Prof. Manuel González, my advisor, for his excellent advice, dedication, patience, and the passion for research and well-finished work he has transmitted to me. Also, I would like to thank to Prof. Javier Cuadrado, for giving me such a great opportunity. I would like to thank my colleagues at the Mechanical Engineering Laboratory: Alberto, Daniel, David, Emilio, Florian, Fran, Miguel, Roland and Urbano. For the fabulous work environment they have provided, their useful advice and the enjoyable hours we have spent together. During my doctorate, I have made a stay at the IFREMER at Brest, under the supervision of Daniel Priour. I am grateful for his kindness and the very interesting and productive conversations that helped me to better understand the fishing nets’ behaviour. Also, many thanks to his research team for welcoming me so warmly. Finally, I owe my heartfelt thanks to my close people: to my parents, for supporting me despite the distance that separates us; and last but no least to my husband, Florian, for his love and support, which always encourage me to give the best of myself. i ii Agradecimientos Esta tesis doctoral ha sido realizada en el Laboratorio de Ingeniería Mecánica de la Universidad de A Coruña, dirigido por el profesor Javier Cuadrado. Esta investigación fue motivada por el proyecto PSE-REDES, Subproyecto 3, Simulación, experimentación and rediseño de artes y dispositivos de pesca, financiado por el Ministerio de Ciencia e Innovación de España. En primer lugar, me gustaría dar las gracias al profesor Manuel González, mi director de tesis, por sus excelentes consejos, dedicación, paciencia y la pasión por la investigación y el trabajo bien hecho que ha sabido trasmitirme. También agradecer al profesor Javier Cuadrado, por haberme brindado esta gran oportunidad. Quiero dar las gracias a mis compañeros del Laboratorio de Ingeniería Mecánica: Alberto, Daniel, David, Emilio, Florian, Fran, Miguel, Roland and Urbano, por el fabuloso ambiente de trabajo, sus utilísimos consejos y las agradables horas que hemos pasado juntos. Durante mi doctorado he realizado una estancia en el IFREMER en Brest, bajo la supervisión de Daniel Priour. Le estoy muy agradecida por su amabilidad y las interesantes conversaciones que me ayudaron a entender mejor el comportamiento de las redes de pesca. Me gustaría agradecer también a su equipo de investigación, por haberme proporcionado una acogida tan cálida. Finalmente, me gustaría dar las gracias a aquellas personas que siempre han estado a mi lado, a mis padres, por su cariño y apoyo a pesar de la distancia que nos separa y, por último, a mi esposo Florian, por su amor y apoyo que siempre me impulsan a dar lo mejor de mí. iii iv Abstract Current research in computational simulation of fishing gears focuses on efficient numerical models that accurately predict the behaviour of the netting structure. This thesis is collection of four papers related to the development of a new model that includes the mesh resistance to opening. Firstly, several nonlinear stiffness models of a net twine are developed. The net twine is modelled as a double-clamped beam and its force-displacement response is calculated by finite element analysis and approximated with three different models. The proposed models overcome the drawbacks of previous models. The twine model is based on the bending stiffness and other geometrical properties of the netting material, so, a procedure to quantify them is presented. Although the methodology is similar to the previous studies, several original contributions are introduced, like a simpler experimental set-up. This procedure is also used to validate the presented twine models with experimental data. Regarding the simulation, the performance of a fishing gear is mainly determined by its equilibrium shape. In this thesis, the robustness and efficiency of gradient-based energy minimization methods and Newton iteration are compared by applying them to a set of benchmark problems. Finally, a lumped mass formulation for netting structures is developed. The lumped mass formulation is widely used to model netting structures, but in this thesis the linear springs that traditionally connect the nodes are replaced by the developed twine model. Besides, the knots are modeled as spheres instead of point masses. Although the expressions of the presented model are more complex than those of the spring model, it has been demonstrated that both models have a similar computational overhead. To validate the model, a netting panel is simulated and compared with experimental results. v vi
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