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Dissertations / Theses on the topic 'Rayleigh- Ritz Method (RRM)'

Author: Grafiati
Published: 5 June 2025
Last updated: 2 August 2025

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1

Kaul, Sandeep P. "Numerical simulation of two-phase flow in discrete fractures using Rayleigh-Ritz finite element method." Thesis, Texas A&M University, 2003. http://hdl.handle.net/1969.1/373.

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Spontaneous imbibition plays a very important role in the displacement mechanism of non-wetting fluid in naturally fractured reservoirs. We developed a new 2D two-phase finite element numerical model, as available commercial simulators cannot be used to model small-scale experiments with different boundary conditions as well as complex boundary conditions such as fractures and vugs. Starting with the basic equation of fluid flow, we derived the non-linear diffusion saturation equation. This equation cannot be put in weighted-integral weak variational form and hence Rayleigh-Ritz finite element
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2

Sherar, P. A. "Variational based analysis and modelling using B-splines." Thesis, Cranfield University, 2004. http://hdl.handle.net/1826/125.

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The use of energy methods and variational principles is widespread in many fields of engineering of which structural mechanics and curve and surface design are two prominent examples. In principle many different types of function can be used as possible trial solutions to a given variational problem but where piecewise polynomial behaviour and user controlled cross segment continuity is either required or desirable, B-splines serve as a natural choice. Although there are many examples of the use of B-splines in such situations there is no common thread running through existing formulations tha
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3

Жигилій, Дмитро Олексійович, Дмитрий Алексеевич Жигилий, Dmytro Oleksiiovych Zhyhylii та М. Л. Заїкіна. "Дослідження стійкості стрижня методом Релея-Рітца". Thesis, Сумський державний університет, 2013. http://essuir.sumdu.edu.ua/handle/123456789/31849.

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Зазвичай задачі на стійкість при повздовжньому стисканні стержнів вирішуються інтегруванням диференційних рівнянь, а також за допомогою засобів, на основі аналогій диференційних рівнянь. Якщо точне інтегрування диференційних рівнянь ускладнене, можна інтегрувати їх з наближенням. Визначимо функцію (інтеграл рівняння), яка буде задовольняти граничним умовам і мінімізувати потенційну енергію, скориставшись методом Релея-Рітца. При цитуванні документа, використовуйте посилання http://essuir.sumdu.edu.ua/handle/123456789/31849
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4

Arvan, Prakash Ankitha. "Rigorous Implementation of the Galerkin method for Stepped Structures." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018.

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In this study we investigate the application of the Galerkin’s method to evaluate the deflection of stepped beams. The naïve implementation, as usually executed in the literature, is contrasted with the rigorous version of the Galerkin method. Naïve implementation involves the integration extended over the steps of the beam where the cross-sectional area and flexural rigidity remains constant. Rigorous implementation treats flexural rigidity as the generalized function, with attendant additional terms associated with the derivatives of the generalized function. The above additional
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5

Aimmanee, Sontipee. "Deformation and Force Characteristics of Laminated Piezoelectric Actuators." Diss., Virginia Tech, 2003. http://hdl.handle.net/10919/11219.

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This research discusses the mechanical characteristics of laminated piezoelectric actuators that are manufactured at an elevated temperature, to cure the adhesive bonding the layers together, or to cure the layers made of polymeric composite material, and then cooled to a service temperature. Mainly discussed are actuators that are composed of layers of passive materials and a layer of piezoelectric material. THUNDER (THin layer UNimorph ferroelectric DrivER and sensor) and LIPCA (LIghtweight Piezo-composite Curved Actuator) actuators, which consist of layers of metal, adhesive and piezoelectr
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6

Goh, Julian Kok Seng. "Analysis of Pressurized Arch-Shells." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/35576.

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A pressurized arch-shell structural component made of flexible material is considered. The component is inflated with high internal pressure. The behavior of similar types of structures, such as a pair of leaning pressurized arches and pressurized arch-supported membrane shelters, has been investigated in the past. More recently, several types of pressurized structures have been incorporated as part of the framework for a variety of structural systems. Particularly, the U.S. Army has been investigating the use of large lightweight and transportable pressurized arch-shell structures to be
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7

Jilani, Adel Benhaj. "Deformations of Piezoceramic-Composite Actuators." Diss., Virginia Tech, 1999. http://hdl.handle.net/10919/29540.

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In the past few years a new class of layered piezoceramic and piezoceramic-composite actuators, known as RAINBOW and GRAPHBOW, respectively, that are capable of achieving 100 times greater out-of-plane displacements than previously available has been developed. Prior to the development of RAINBOW and GRAPHBOW, large stacks of piezoelectric actuators, requiring complicated electronic drive circuits, were necessary to achieve the displacement now possible through the use of a single RAINBOW actuator. The major issues with both RAINBOW and GRAPHBOW are the prediction of their room-temperature sha
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8

Djato, Anani. "Identification rapide des propriétés diffuso-mécaniques de matériaux polymères et composites pour applications aéronautiques." Thesis, Chasseneuil-du-Poitou, Ecole nationale supérieure de mécanique et d'aérotechnique, 2018. http://www.theses.fr/2018ESMA0010/document.

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L’emploi de matériaux composites à matrice organique (CMO) pour la réalisation de structures aéronautiques « tièdes », peut exposer ces matériaux à l’action d’environnements agressifs, qui peuvent entrainer des phénomènes de vieillissement et de dégradation sévères associés à la diffusion d’espèces au sein du réseau macromoléculaire des matrices polymères. La complexité de la microstructure des CMO utilisés pour ces applications peut complexifier la compréhension de phénomènes de dégradation. Le vieillissement humide des CMO préoccupe particulièrement les industriels du secteur aéronautique ;
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9

Жигилій, Дмитро Олексійович, Дмитрий Алексеевич Жигилий, Dmytro Oleksiiovych Zhyhylii та М. Ю. Ветер. "Сравнение метода конечных разностей с методом Релея-Ритца в задаче прямого изгиба консольной балки". Thesis, Сумский государственный университет, 2013. http://essuir.sumdu.edu.ua/handle/123456789/31851.

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В работе проводится сравнение метода конечных разностей с методом Релея-Ритца в задаче прямого изгиба консольной балки. При цитировании документа, используйте ссылку http://essuir.sumdu.edu.ua/handle/123456789/31851
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10

Güttel, Stefan. "Rational Krylov Methods for Operator Functions." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola&quot, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-27645.

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We present a unified and self-contained treatment of rational Krylov methods for approximating the product of a function of a linear operator with a vector. With the help of general rational Krylov decompositions we reveal the connections between seemingly different approximation methods, such as the Rayleigh–Ritz or shift-and-invert method, and derive new methods, for example a restarted rational Krylov method and a related method based on rational interpolation in prescribed nodes. Various theorems known for polynomial Krylov spaces are generalized to the rational Krylov case. Computational
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11

Muñiz, Martín Ernesto. "Análisis dinámico de las tenso estructuras : propuesta de metodología de cálculo y software aplicado." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/284961.

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Traditionally, the dynamic analysis of Multi degree Systems are based on the study of modal Shapes or energy balances given an established oscillation figure. The expert user of those methods could determine how resonance affects the dynamic behaviour of the analysed structure under time dependent variables as wind, moving loads, human steps, etc. or response spectrums (seismic). This Doctoral thesis propases a calculus methodology whose purpose is to obtain the characteristic modal shapes and energy balances of a tensile structure. Thus, an idealized tensile structure which is modeled using
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12

Badagi, Vijay Kumar. "Dynamic response of width- and thickness-tapered composite beams using Rayleigh-Ritz method and modal testing." Thesis, 2012. http://spectrum.library.concordia.ca/974892/1/Badagi_MASc_F2012.pdf.

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Tapered composite beams formed by width-taper or by terminating or dropping-off some of the plies from the primary structure provide high stiffness to weight ratios, high modulus to weight ratios, damage tolerance and design tailoring capabilities. Since they are increasingly and widely being used in a variety of engineering applications such as robot arms, lightweight mechanical components, aircraft wings, space structures, helicopter blades and yokes, turbine blades, and civil infrastructures, it is important to ensure that their design is reliable and safe. Study of the dynamic response of
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13

Lin, Chiun-Ping, and 林群評. "Asymmetric Vibration and Stability of Circular Plates with Orthotropic Material Properties by Using Rayleigh-Ritz Method." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/53613414712252859196.

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碩士<br>大同大學<br>機械工程學系(所)<br>92<br>Investigation in this research is divided into two parts. One is the consideration on the vibration and buckling load of the orthotropic annular plate taking account of shear deformation and rotary inertia, including CF (clamped at inner edge and free at outer edge) and SS (simply supported at inner edge and outer edge) boundary conditions. The other part is to investigate the effect of concentric ring supports on the effectiveness of the enhancement of the buckling load of the orthotropic annular plate. This annular plate bears the in-plane force and torque se
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14

Amorim, João Diogo Pereira. "Vibroacoustic analysis of plates with viscoelastic damping patches : a layerwise theory and the Rayleigh-Ritz Method." Master's thesis, 2013. http://hdl.handle.net/10216/72646.

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15

Amorim, João Diogo Pereira. "vibroacoustic analysis of plates with viscoelastic damping patches: a layerwise theory and the rayleigh-ritz method." Master's thesis, 2013. https://repositorio-aberto.up.pt/handle/10216/90320.

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16

Amorim, João Diogo Pereira. "Vibroacoustic analysis of plates with viscoelastic damping patches : a layerwise theory and the Rayleigh-Ritz Method." Dissertação, 2013. http://hdl.handle.net/10216/72646.

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17

Campanale, Angelo. "Fluid-structure interaction problems in linear and nonlinear engineering applications: theory and experiments." Doctoral thesis, 2021. http://hdl.handle.net/11589/217863.

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In questa tesi di dottorato, vengono analizzati due problemi di interazione fluido-struttura, relativi a diverse applicazioni ingegneristiche. Nel primo caso lineare, viene formulato un modello semplice ma efficace per stimare correttamente la risposta dinamica di un dispositivo a diapason al quarzo (QTF) immerso in un ambiente fluido. Questo tipo di risonatore è ampiamente utilizzato per applicazioni di rilevamento di tracce gassose. Nel secondo caso non lineare, viene sviluppato un modello numerico per ottenere la risposta aeroelastica di piastre sottili incastrate, con particolare enfasi
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18

Löwe, Johannes. "Eine Finite-Elemente-Methode für nicht-isotherme inkompressible Strömungsprobleme." Doctoral thesis, 2011. http://hdl.handle.net/11858/00-1735-0000-0006-B3EE-B.

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19

Held, Joachim. "Ein Gebietszerlegungsverfahren für parabolische Probleme im Zusammenhang mit Finite-Volumen-Diskretisierung." Doctoral thesis, 2006. http://hdl.handle.net/11858/00-1735-0000-0006-B39E-E.

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