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Dissertations / Theses on the topic 'Elastic rods and waves'

Author: Grafiati

Published: 10 December 2022

Last updated: 31 July 2025

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1

Durickovic, Bojan. "Waves on Elastic Rods and Helical Spring Problems." Diss., The University of Arizona, 2011. http://hdl.handle.net/10150/202750.

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This work examines problems in the statics and traveling wave propagation on uniform elastic rods with constant curvature and torsion, i.e. a straight rod and a helical rod. The first set of problems concerns planar traveling loop-like waves on intrinsically straight rods. It is shown that loops with compact support can exist on homogeneous rods with a nonlinear constitutive relation, where the strain-energy density contains a quartic term. Next, the effect of heterogeneity in the material properties on the shape of the loop is examined using a homogenization method. The second set of problems

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2

Fu, Tuan-Chun. "FEM simulation of ultrasonic wave propagation in solid rods." Morgantown, W. Va. : [West Virginia University Libraries], 2004. https://etd.wvu.edu/etd/controller.jsp?moduleName=documentdata&jsp%5FetdId=3452.

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Thesis (M.S.)--West Virginia University, 2004.<br>Title from document title page. Document formatted into pages; contains x, 82 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 80-81).

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3

Cazzolli, Alessandro. "Snapping and Fluttering of Elastic Rods." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/259120.

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The exact solutions for planar rods undergoing large rotations and subject to kinematically controlled ends are presented in the first part of the thesis. In particular, the equilibrium equations for a rod subject to Dirichlet boundary conditions and to isoperimetric constraints are derived through variational principles for both the Euler's elastica and the Reissner beam, while the related closed-form solutions are obtained in terms of the Jacobi elliptic functions. The study of stability of the Euler's elastica is addressed in the second part of the thesis through a modified version of the

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4

Cazzolli, Alessandro. "Snapping and Fluttering of Elastic Rods." Doctoral thesis, Università degli studi di Trento, 2020. http://hdl.handle.net/11572/259120.

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The exact solutions for planar rods undergoing large rotations and subject to kinematically controlled ends are presented in the first part of the thesis. In particular, the equilibrium equations for a rod subject to Dirichlet boundary conditions and to isoperimetric constraints are derived through variational principles for both the Euler's elastica and the Reissner beam, while the related closed-form solutions are obtained in terms of the Jacobi elliptic functions. The study of stability of the Euler's elastica is addressed in the second part of the thesis through a modified version of the c

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5

Miller, James Thomas Ph D. Massachusetts Institute of Technology. "Mechanical behavior of elastic rods under constraint." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/88280.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Civil and Environmental Engineering, 2014.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Cataloged from student-submitted PDF version of thesis.<br>Includes bibliographical references (pages 213-223).<br>We present the results of an experimental investigation of the mechanics of thin elastic rods under a variety of loading conditions. Four scenarios are explored, with increasing complexity: i) the shape of a naturally cu

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6

Khalid, Jawed Mohammad. "Coiling of elastic rods on rigid substrates." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/93774.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Mechanical Engineering, 2014.<br>This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections.<br>Cataloged from student-submitted PDF version of thesis.<br>Includes bibliographical references (pages 115-120).<br>We investigate the deployment of a thin elastic rod onto a rigid substrate and study the resulting coiling patterns. In our approach, we combine precision model experiments, scaling analyses, and computer simulations towards developing

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7

Singh, Raushan. "Unusual coupled deformation and supercoiling in elastic rods with application to biomolecules." Thesis, IIT, Delhi, 2019. http://eprint.iitd.ac.in:80//handle/2074/8079.

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8

Guo, Hanfen. "Quasi-static universal motions of homogeneous monotropic elastic rods." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/mq23326.pdf.

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9

Beretta, Robert K. (Robert Kneeland). "A geometrically exact dynamic model for spatial elastic rods." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/38117.

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10

Gong, Chen. "Surface waves in elastic material." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-227640.

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A finite volume method based solver for Rayleigh waves in two dimensional elastic materials is constructed by using the Conservation Laws Package (Clawpack). The Lax-Wendroff scheme is implemented and only first-order accuracy is achieved for the Rayleigh wave problems by the default elastic wave solver in Clawpack. A Lamb's problem is solved by Clawpack and some instabilities occur in the cases of almost incompressible materials. The Rayleigh wave problem in complex geometries is transformed by a smooth mapping function and solved by using a fourth-order summation-by-parts (SBP) operators w

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11

Dreyer, Daniel 1975. "Application of the Element Free Galerkin Method to elastic rods." Thesis, Massachusetts Institute of Technology, 2000. http://hdl.handle.net/1721.1/80918.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2000.<br>"February 2000."<br>Includes bibliographical references (p. 115-119) and index.<br>by Daniel Dreyer.<br>S.M.

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12

Connell, I. J. "Large elastic deformations of tubes, wires and springs." Thesis, University of Nottingham, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376636.

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13

Manohara, Ranganath Draksharam. "Modelling of Elastic Ship in Waves." Thesis, KTH, Marina system, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-119768.

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Ships in the seas undergo different distortions like bending, twisting or combined bending and twisting. The demand for increase in length and speed of the ships is increasing due to this the study for flexibility of structures is becoming important. Usually the structural excitations or natural frequencies of structure are given less priority since the natural frequencies of the structure are higher than encounter frequencies but since the length and speeds are increasing the encounter frequencies are closer to the fundamental frequencies. The structural behavior can be analyzed by semi-empir

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14

Draksharam, Manohara Ranganath. "Modelling of Elastic Ship in Waves." Thesis, KTH, Marina system, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-121311.

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Ships in the seas undergo different distortions like bending, twisting or combined bending and twisting. The demand for increase in length and speed of the ships is increasing due to this the study for flexibility of structures is becoming important. Usually the structural excitations or natural frequencies of structure are given less priority since the natural frequencies of the structure are higher than encounter frequencies but since the length and speeds are increasing the encounter frequencies are closer to the fundamental frequencies. The structural behavior can be analyzed by semi-empir

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15

Punjani, Minaz. "Crack characterisation using ultrasonic elastic waves." Thesis, University College London (University of London), 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267567.

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16

Spillmann, Jonas. "CORDE: Cosserat rod elements for the animation of interacting elastic rods." [S.l. : s.n.], 2008. http://nbn-resolving.de/urn:nbn:de:bsz:25-opus-57751.

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17

Anakok, Isil. "A Study on Steady State Traveling Waves in Strings and Rods." Thesis, Virginia Tech, 2018. http://hdl.handle.net/10919/83890.

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The main focus of this present work is to study how mechanical steady state traveling waves can be generated and propagated through one dimensional media by applying forces. By steady state traveling waves we refer to propagating mechanical waves in a finite medium that never exhibit reflections at the boundaries and continuously move from one end of the structure to the other. Mechanical waves can be classified as traveling, standing and hybrid waves that are the results of the interplay of excitation forces, applied force locations, and the boundary conditions of the structure. Traveling w

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18

Owen, Nicholas C. "Existence and stability of drawing and necking deformations for nonlinearly elastic rods." Thesis, Heriot-Watt University, 1986. http://hdl.handle.net/10399/1605.

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19

Armanini, Costanza. "Instabilities and dynamics of elastic rods in the presence of movable constraints." Doctoral thesis, Università degli studi di Trento, 2018. https://hdl.handle.net/11572/367733.

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A new trend in the mechanical design of devices for advanced technologies, such as soft robotics and micro/nano mechanics, is the exploitation of structures undergoing large deflections, in an attempt of achieving superior performances. Within this framework, non-linear modelling becomes a fundamental tool for the design of compliant structures and deformable mechanism. Two structural systems are investigated, both based on the planar elastica and subject to movable and configurational constraints. These two structures disclose unforeseen behaviours when the values of the parameters defining t

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20

Armanini, Costanza. "Instabilities and dynamics of elastic rods in the presence of movable constraints." Doctoral thesis, University of Trento, 2018. http://eprints-phd.biblio.unitn.it/2853/1/Thesis_Armanini.pdf.

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A new trend in the mechanical design of devices for advanced technologies, such as soft robotics and micro/nano mechanics, is the exploitation of structures undergoing large deflections, in an attempt of achieving superior performances. Within this framework, non-linear modelling becomes a fundamental tool for the design of compliant structures and deformable mechanism. Two structural systems are investigated, both based on the planar elastica and subject to movable and configurational constraints. These two structures disclose unforeseen behaviours when the values of the parameters defining

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21

Rodrigues, Ferreira Elizabete. "Finite-amplitude waves in deformed elastic materials." Doctoral thesis, Universite Libre de Bruxelles, 2008. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210464.

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Le contexte de cette thèse est la théorie de l'élasticité non linéaire, appelée également "élasticité finie". On y présente des résultats concernant la propagation d'ondes d'amplitude finie dans des matériaux élastiques non linéaires soumis à une grande déformation statique homogène. Bien que les matériaux considérés soient isotropes, lors de la propagation d'ondes un comportement anisotrope dû à la déformation statique se manifeste. <p><p>Après un rappel des équations de base de l'élasticité non linéaire (Chapitre 1), on considère tout d'abord la classe générale des matériaux incompressibles.

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22

Johnston, Clifton Reed. "Solitary waves in fluid-filled elastic tubes." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq64866.pdf.

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23

Wang, Wei. "Manipulation of Lamb waves with elastic metamaterials." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS414.

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Nous développons des métamatériaux élastiques à piliers pour manipuler les ondes de Lamb. Dans un premier temps, les propriétés négatives associées aux résonances de flexion, de compression et de torsion dans deux structures constituées de piliers sur un seul côté d’une membrane sont examinées. Nous décrivons deux mécanismes différents des propriétés de double négativité. Le potentiel de ces structures pour la réfraction négative et le cloaking acoustique est démontré. Deuxièmement, nous présentons le transport protégé topologiquement des ondes de Lamb par analogie avec les effets Hall quantiq

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24

Schlottmann, Robert Brian. "A path integral formulation of elastic wave propagation /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p3004372.

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25

Arens, Tilo. "The scattering of elastic waves by rough surfaces." Thesis, Brunel University, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.311560.

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26

Imhof, Matthias Georg. "Scattering of elastic waves using non-orthagonal expansions." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/54423.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences, 1996.<br>Includes bibliographical references (p. 270-284).<br>by Matthias Georg Imhof.<br>Ph.D.

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27

Kim, Hyun Sil. "Instability of finite amplitude wave propagation in harmonically heterogeneous elastic solids." Diss., Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/16437.

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28

Ahonsi, Bright. "On the propagation of stress waves in viscoelastic rods for Hopkinson bar studies." Thesis, University of Aberdeen, 2011. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=182239.

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The propagation of stress waves in long polymer rods forms the basis of two major experimental techniques. The first is a modified Split-Hopkinson pressure bar (SHPB) arrangement that employs polymer Hopkinson bars (as opposed to metallic bars) in order to determine the high strain-rate mechanical properties of soft materials. The second experimental technique consists of a group of methods for determining the viscoelastic properties of polymer rods within a frequency range of 20 Hz to 30 kHz. An experimental, analytical and finite element study of stress waves propagating in viscoelastic rods

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29

De, Lima Washington Jose. "Harmonic generation in isotropic elastic waveguides /." Full text (PDF) from UMI/Dissertation Abstracts International, 2000. http://wwwlib.umi.com/cr/utexas/fullcit?p3004249.

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30

Maboudi, Afkham Babak. "Modeling and Simulation of Elastic Rods with Intrinsic Curvature and Twist Immersed in Fluid." Thesis, KTH, Numerisk analys, NA, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-148168.

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Understanding the dynamics of thin elastic rods that are immersed in fluid is fundamental in explaining many problems that arise in biology, physics and engineering. Solving the coupled system of rod-fluid in 3D is usually very costly, however in case of low Reynolds number, the three-dimensional problem can be reduced a one-dimensional problem on the centerline of the rod. In this thesis we examine the method of regularized Stokeslets which is a numerical algorithm for an elastic rod immersed in viscous, incompressible fluid at zero Reynolds number governed by Stokes equations. In this method

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31

Xu, Liwei. "Computational methods for a class of problems in acoustic, elastic and water waves." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 203 p, 2009. http://proquest.umi.com/pqdweb?did=1833647381&sid=12&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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32

Yi, Kaijun. "Controlling guided elastic waves using adaptive gradient-index structures." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSEC044/document.

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Les matériaux à gradient d'indice de réfraction (GRIN) présentent des propriétés mécaniques variant en temps ou/et en espace. Ils ont été testés pour des applications prometteuses dans de nombreuses applications d'ingénierie, comme pour le contrôle santé structurale ou la surveillance de structure (SHM), le contrôle des vibrations et bruit, la récupération d'énergie, etc. D'un autre côté, les matériaux piézoélectriques offrent la possibilité de réaliser des cellules composites dont les propriétés mécaniques peuvent être contrôlées en ligne. Motivé par ces deux approches, cette thèse étudie la

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33

Kil, Hyun-Gwon. "Propagation of elastic waves on thin-walled circular cylinders." Thesis, Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/15967.

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34

Fong, Ka Lok Jimmy. "A study of curvature effects on guided elastic waves." Thesis, Imperial College London, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.421857.

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35

Li, Xiaofan. "Scattering of elastic waves by heterogeneous and extended continua." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389961.

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36

Haslinger, Stewart. "Mathematical modelling of flexural waves in structured elastic plates." Thesis, University of Liverpool, 2014. http://livrepository.liverpool.ac.uk/16833/.

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This thesis discusses properties of flexural waves in thin elastic plates that incorporate a structured system of gratings of defects. The defects may take the form of inclusions or masses, but we focus on circular inclusions, and in particular, holes with a clamped edge. We place the work in the relatively new field of platonics, which is the study of flexural waves in plates governed by the fourth-order biharmonic plate equation. By analogy with photonic and phononic crystals, the two-dimensional structures in thin elastic plates are known as platonic crystals. We present a novel analysis of

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37

Zhao, Jinfeng. "Phononic Crystals to Control the Propagation of Elastic Waves." Thesis, Paris 6, 2015. http://www.theses.fr/2015PA066098/document.

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Ce travail de thèse concerne la focalisation des ondes élastiques se propageant dans une plaque mince ou à la surface d’un milieu semi-infini, au travers de lentilles acoustiques planes. Les dispositifs que nous avons étudiés sont basés sur des cristaux phononiques 2D, constitués d'inclusions d'air dans une matrice solide. Ces hétérostructures présentent un gradient de leurs propriétés élastiques le long d'une direction de la lentille. Le gradient d'indice est obtenu en modulant soit la taille des inclusions d'air, soit la distance entre deux inclusions consécutives. L’approche que nous avons

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38

Shearer, Tom. "Waves in nonlinear elastic media with inhomogeneous pre-stress." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/waves-in-nonlinear-elastic-media-with-inhomogeneous-prestress(39ffbda5-3510-4941-b092-208b854141b4).html.

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In this thesis, the effect of inhomogeneous pre-stress on elastic wave propagation and scattering in nonlinear elastic materials is investigated. Four main problems are considered: 1. torsional wave propagation in a pre-stressed annular cylinder, 2. the scattering of horizontally polarised shear waves from a cylindrical cavity in a pre-stressed, infinite, nonlinear elastic material, 3. the use of pre-stress to cloak cylindrical cavities from incoming horizontally polarised shear waves, and 4. the scattering of shear waves from a spherical cavity in a pre-stressed, infinite, nonlinear elastic m

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39

Brevis, Vergara Rodrigo Ignacio. "Source time reversal methods for acoustic and elastic waves." Tesis, Universidad de Chile, 2018. http://repositorio.uchile.cl/handle/2250/152342.

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Tesis para optar al grado de Doctor en Ciencias de la Ingeniería, Mención Modelación Matemática<br>Esta tesis estudia la detección y reconstrucción del término espacial de una fuente de variables separables en problemas de onda acústica y elástica. Para esto, estudiamos el método time-reversal mirror, el cual explota una invariancia intrínseca de la física a nivel microscópico que se observa también a nivel macroscópico en las ecuaciones de ondas. Esto significa que es posible recuperar la condición inicial de una ecuación de ondas homogénea revirtiendo la onda a través del tiempo. Para locali

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40

Kocaoglu, Argun H. "A new method for modeling surface wave propagation in heterogeneous media." Diss., Georgia Institute of Technology, 1995. http://hdl.handle.net/1853/25716.

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41

Tie, An. "On scattering of seismic waves by a spherical obstacle." Diss., Georgia Institute of Technology, 1987. http://hdl.handle.net/1853/27988.

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42

Dalo, Dominic N. "A finite element solution of thermal wave propagation in elastic media /." Online version of thesis, 1987. http://hdl.handle.net/1850/8821.

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43

Liow, J. (Jeih-San). "A two dimensional finite-difference simulation of seismic wave propagation in elastic media." Diss., Georgia Institute of Technology, 1988. http://hdl.handle.net/1853/25781.

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44

Liu, Zunping. "Three-dimensional multiple scattering of elastic waves by spherical inclusions." Diss., Manhattan, Kan. : Kansas State University, 2007. http://hdl.handle.net/2097/386.

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45

Littles, Jerrol W. Jr. "Scattering of longitudinal elastic waves from a distribution of cracks." Thesis, Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/19242.

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46

Captain, V. S. "The effect of inextensibility on elastic surface and interfacial waves." Thesis, University of East Anglia, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.378895.

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47

Prikazchikova, Liudmila A. "Small amplitude waves in a pre-stressed compressible elastic plate." Thesis, University of Salford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.419310.

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48

Garnier, Erell-Isis. "Long waves in water over a visco-elastic muddy seabed." Thesis, Massachusetts Institute of Technology, 2011. http://hdl.handle.net/1721.1/67613.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2011.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 289-290).<br>The propagation of surface waves over a flat muddy seabed are studied. Mud is first considered as a Newtonian fluid. Water and mud equations are derived in order to obtain governing equation for surface and interface waves. By the method of multiple scales. nonlinear evolution equations are derived for the harmonic amplitudes. These equations are numerically solved for a finite number of harmonics to show t

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49

Drozdz, Mickael Brice. "Efficient finite element modelling of ultrasound waves in elastic media." Thesis, Imperial College London, 2008. http://hdl.handle.net/10044/1/7974.

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The aim of the work presented in this thesis is to provide tools to extend modelling capacities and improve quality and reliability of bulk and guided wave propagation models using commercially available finite element (FE) packages. During the development process of NDT inspection techniques, the knowledge of the interaction of waves with defects is key to the achievement of robust and efficient techniques as well as identifying potential weaknesses. The reflection of ultrasound from cracks and notches of simple geometry anq'orientation is already well understood, but there are few results fo

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50

Miniaci, Marco <1986&gt. "Behaviour and applications of elastic waves in structures and metamaterials." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amsdottorato.unibo.it/6634/1/MINIACI_MARCO_tesi.pdf.

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The present thesis focuses on elastic waves behaviour in ordinary structures as well as in acousto-elastic metamaterials via numerical and experimental applications. After a brief introduction on the behaviour of elastic guided waves in the framework of non-destructive evaluation (NDE) and structural health monitoring (SHM) and on the study of elastic waves propagation in acousto-elastic metamaterials, dispersion curves for thin-walled beams and arbitrary cross-section waveguides are extracted via Semi-Analytical Finite Element (SAFE) methods. Thus, a novel strategy tackling signal dispersi

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