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Showing 1 to 20 of 55 for “"Rayleigh-Ritz"”.
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Reconciliation of a Rayleigh-Ritz beam model with experimental data
In order to perform structural optimization and/or modification on a structure, an analytical model which sufficiently describes the behavior of the structure must be developed. Analytical models can be generated for almost any structure, but such a model will generally not effectively predict the …
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Analysis of a circular arch by the Rayleigh-Ritz method
The Rayleigh-Ritz method is a convenient tool for the analysis of deflections in structures subjected to external forces. Bending moment relations can be developed and reliable values obtained for bending moments. In this thesis the Rayleigh-Ritz method is used for the analysis of a single-span, …
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Free vibration and stability of complete orthotropic circular toroidal shells
… results. Thirdly, theory is developed using the Rayleigh-Ritz method for the free vibration analysis of toroidal shells having large bend to cross-section radius ratios. A parametric study of such shells including orthotropic and ring-stiffened isotropic ones is conducted using the finite element …
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Flexural-Torsional Coupled Vibration of Rotating Beams Using Orthogonal Polynomials
… coupled vibration of rotating beams using the Rayleigh-Ritz method with orthogonal polynomials as basis functions is studied. The present work starts from a review of the development and analysis of four basic types of beam theories: the Euler-Bernoulli, Rayleigh, Shear and Timoshenko and goes …
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An integral equation approach to vibrating plates
… compare favorably with results obtained from the Rayleigh-Ritz method. Finally, the fundamental frequency is determined for the circular, stepped cantilever plate and the clamped elliptical plate. For the stepped plate fundamental frequency curves are drawn for various positions and magnitudes of …
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Estudo teórico da estabilidade lateral de hastes submetidas a uma protensão externa
… the "Dynamic Criteria of Stability", via the Rayleigh-Ritz Method. An analysis of bifurcation taking into account the non-linear terms, for one of the considered cases is made, as well as a discussion on stability by means of the parameters of the characteristic equation obtained from the …
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Thermal Analysis and Response of Grid-Stiffened Composite Panels
… assuming a linear undeformed prebuckling state. Rayleigh-Ritz Method, which utilizes minimization of the total energy of a structure to determine the buckling loads, is used to govern the buckling analysis of composite laminates forming the panel. Lagrange Multiplier Method is used along with the …
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ΕΦΑΡΜΟΓΗ ΑΜΕΣΩΝ ΜΕΘΟΔΩΝ ΤΗΣ ΣΥΝΑΡΤΗΣΙΑΚΗΣ ΑΝΑΛΥΣΕΩΣ ΣΤΟΝ ΥΠΟΛΟΓΙΣΜΟ ΑΝΤΙΣΤΑΣΕΩΝ, ΑΥΤΕΠΑΓΩΓΩΝ ΚΑΙ ΧΩΡΗΤΙΚΟΤΗΤΩΝ
… APPLICATION OF DIRECT VARIATIONAL METHODS (E.G. RAYLEIGH-RITZ METHOD, GALERKIN METHOD, KANTOROVICH METHOD) FOR THE CALCULATION OF RESISTANCE, INDUCTANCE AND CAPACITANCE. THE ESTIMATION OF INTERNAL INDUCTANCE OF HIGHLY PERMEABLE CONDUCTORS (M>>M) WITH VAROUS CROSS-SECTIONS IS ONE OF THE MAIN …
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Deformation and Force Characteristics of Laminated Piezoelectric Actuators
… stresses are predicted by using a 23-term Rayleigh-Ritz approach and more rigorous, time-consuming, finite-element analyses performed with ABAQUS. The thermally-induced deformations of THUNDER actuators can result in multiple room-temperature manufactured shapes, whereas those of LIPCA …
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Improving the vibrational performance of wood floor systems
A displacement-based Rayleigh-Ritz finite element model is developed to simulate the static and dynamic behavior of stiffened plates. By con1paring natural frequency, time-history, and power density predictions with experimental results, it is shown that the model can be used to predict the …
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Structural acoustic analysis of shape memory alloy hybrid composite panels
… composite materials. This study utilizes the Rayleigh-Ritz method and finite panel acoustic radiation theory to investigate the use of SMA hybrid composite materials for adaptive structural acoustic control by active structural tuning. Analytical models are formulated considering classical …
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Vibration Analysis of a Fan/Compressor Blade
… various analytical methods, Bernoulli-Euler, Rayleigh, Rayleigh-Ritz, two-dimensional plate, and Timoshenko beam methods. Then, the vibration behaviors of the blade are analyzed in full extent using commercially available finite element solver, MSC.NASTRAN, and correlated with the analytical …
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Substructure Synthesis Analysis and Hybrid Control Design for Buildings under Seismic Excitation
… with very low control forces. The Rayleigh-Ritz based substructure synthesis method proved to be highly successful in analyzing a structure more complex than the ones previously analyzed with it. Comparing the responses of the hybridly controlled building and the conventional fixed …
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Flexural vibration of the incomplete circular ring
… of the thin ring, using the method of Rayleigh -Ritz.
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Random vibrations of mistuned periodic structures
… structures have been designed to withstand. The Rayleigh-Ritz method, as employed earlier, for dynamic analysis for two-span beams could predict only the lower modes of vibration at prohibitive computational expense. A semi-analytical method which predicts even the higher modes at significantly …
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Localized Effects of Piezopolymer Devices on the Dynamics of Inflatable Space-Based Structures
… frequencies and mode shapes was presented. The Rayleigh-Ritz and finite element methods were then seen to numerically approximate the natural frequencies and mode shapes for the bare membrane with a high degree of accuracy. A passive PVDF patch was then attached to the base membrane and the …
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Buckling and postbuckling behavior of prolate spheroidal shells under uniform external pressure
The Rayleigh-Ritz method is used to determine both the buckling and postbuckling behavior of completely, enclosed prolate spheroidal shells under uniform external pressure. It is assumed that the shells are isotropic and elastic, and have a uniformly thin wall. It is further assumed that the …
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Analysis of Pressurized Arch-Shells
… A numerical investigation based on the Rayleigh-Ritz method is utilized to determine the behavior of arch-shells under various types of loading. The types of loading include a uniformly distributed vertical load representing snow, a wind load, and a horizontal side load distributed along …
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Macro Fiber Composite Actuated Unmanned Air Vehicles: Design, Development, and Testing
… on fiberglass unimorph was modeled by the Rayleigh-Ritz method and quantified by experimentation. Wind tunnel tests were performed to compare conventional trailing edge control surface effectiveness to an MFC actuated wing section. The continuous surface of the MFC actuated composite …
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Vibration of a nonlinear shear deformable beam by numerical simulation
… of motion are discretized in space by the Rayleigh-Ritz method, resulting in a set of nonlinear ordinary differential equations in time. The ordinary differential equations are integrated numerically to produce a time history of the solution of the equations. Transverse displacement, axial …
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