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Showing 1 to 20 of 33 for “"Timoshenko Beam"”.
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An optimal control problem for a Timoshenko beam
… constructing design models for LQR control of a Timoshenko structure. We consider two finite element schemes and compare their robustness property. The functional gains are also compared against their counterpart when an Euler-Bernoulli model is used to describe the dynamics of the beam. Results …
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A Finite Difference Approach to Modeling High Velocity/Variable Loads using the Timoshenko Beam Model
… heavily upon a comprehensive understanding of beam behavior during periods of heavy dynamic loading. It is hypothesized that the combination of velocity transition effects, electromagnetic loading, and other non-linear or design specific effects contribute to areas of high stresses/strains over …
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ΔΥΝΑΜΙΚΗ ΤΩΝ ΡΗΓΜΑΤΩΜΕΝΩΝ ΔΟΚΩΝ ΣΤΟ ΝΕΡΟ
… FLOW WERE COMPUTED. THIS WAS ACCOMPLISHED WITH TIMOSHENKO BEAM THEORY, ANALYTICALLY AND WITH ONE DIMENSION FINITE ELEMENTS, BY INTRODUCING THE CRACK EFFECT WITH LOCAL COMPLIANCE COEFFICIENTS. ALSO WAS ACCOMPLISHED, BY THEORY OF ELASTICITY WITH PLAIN STRESS QUADRILATERAL FINITE ELEMENTS, BY …
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An Efficient Reduced Order Modeling Method for Analyzing Composite Beams Under Aeroelastic Loading
… An example of this might be a box-beam made up of 4 laminates, all of which are quasi-isotropic. This results in neglecting more complex designs that might yield a more effective solution, but require a greater analysis effort. The present work aims to show that the incorporation of …
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Effects of shear deformations on the vibrational frequencies of wide-flanged structures
The well-known Timoshenko beam equations (which include transverse shear deformation and rotary inertia effects) are extended for a wide-flanged structure to include the additional shear lag deformation of the flanges; thus, cross-sections of the beam are allowed to distort instead of remaining …
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ΣΥΜΒΟΛΗ ΣΤΗΝ ΑΝΤΙΜΕΤΩΠΙΣΗ ΠΡΟΒΛΗΜΑΤΩΝ ΤΗΣ ΖΕΥΓΜΕΝΗΣ ΚΑΙ ΓΕΝΙΚΕΥΜΕΝΗΣ ΘΕΡΜΟΕΛΑΣΤΙΚΟΤΗΤΑΣ
… PROBLEMS OF VIBRATION OF BERNOULLI- EULER AND TIMOSHENKO BEAM AND THE PROBLEM OF AN INFINITE MEDIUM (X1, X2 [- , ], X3 FINITE) HAVE BEEN STUDIED BY USING INTEGRAL AND FINITE FOURIER TRANSFORMS. THE GENERALIZED THEORY OF LORD AND SHULMAN HAS BEEN USED TO STUDY THE CHARACTERISTICS OF THE WAVE …
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Finite element nonlinear stability analysis of framed structures
… analysis was used as the starting point. The Timoshenko beam/frame elements with a layered representation of the cross-section, uniaxial elasticplastic constitutive models, different integration procedures and simplified large deformation geometric assumptions incorporated into NOSTRUM are …
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Vibration Analysis of a Fan/Compressor Blade
… 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 solutions. The finite element analysis was performed …
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Modeling of multiple layered piezoelectric actuators in active structural control
… equations of motion of a simply supported beam are derived using Timoshenko beam theory. This approach accounts for shear deformation and allows the actuator-applied moments to be directly incorporated into the equations of motion without further approximation. The model is cast in state …
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Computer Aided Analysis of Smoke Stack Designs
… created by modifying an existing analysis code, BEAM8, to be used specifically for stack analysis. This analysis code utilizes the transfer matrix method to perform detailed bending and vibration analyses. This new software has been developed to check stack designs for compliance with appropriate …
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A CFD framework for aeroelastic gust load calculations
… calculations. The latter was represented by a beam stick model using Timoshenko beam theory in Elementaltextsuperscript{textregistered}'s structural module. The case under consideration was the NASA Common Research Model (CRM) flying at Ma = 0.86 with a 30 ft gust applied over the aircraft. Key …
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Toward a full aircraft model platform for fuel slosh-structure interaction simulations
… To this end, the structure was represented by Timoshenko beam theory. The structural ROM was validated and verified against the widely used MSC Nastran commercial software. Simulated dynamic responses were within 5% while eigenvalue predictions were within 2% of each other. Secondly, a …
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Compressive strength of lamina reinforced and fiber reinforced composite materials
… laminae has been proposed. By applying the Timoshenko beam equations to each layer of the laminate, an interlaminar shear stress analysis which can be used to predict the behavior of the laminate under compressive loading was developed. Two modes of failure are considered in the analysis, …
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Rapid design and simulation of functional digital materials
… similarities between my mechanical model and the Timoshenko Beam Element. I note an advantage of my model for simulating flexural joints is its non-linear treatment of angular displacements - allowing for large angular deformations to be simulated without costly remeshing. I implement this model …
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Spectral Element Analysis of Bars, Beams, and Levy Plates
… spectral Euler-Bernoulli and a four DOF spectral Timoshenko beam element are also developed to gain insight into the performance of spectral elements. A cantilever beam example is used to show how incorporating eigenfunctions for the dynamic governing PDE into the displacement field enables …
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Aeroelastic Analysis of Rotor Blades Using Three Dimensional Flexible Multibody Dynamic Analysis
… that combines a shear deformable plate with a Timoshenko beam. A solid element, that utilized the isoparametric formulation along with incompatible modes, and one-dimensional elements are also included in the element library. The tools developed in the present work are then utilized for …
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Dynamic Behaviour of Composite Structures Containing Viscoelastic Materials, with Applications to Solid Fuel Rocket Motors
… motor was then analysed as rigidly connected beams. The equations used were the Timoshenko beam equations which include the effect of shear deformation and rotary inertia. The unknown coefficients were found from the end conditions of the beams. Analyses were carried out on four different …
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Design Manual Development for a Hybrid, FRP Double-Web Beam and Characterization of Shear Stiffness in FRP Composite Beams
… and analysis of a pultruded, hybrid double web beam (DWB) developed for use in bridge construction has been conducted at Virginia Tech. A primary purpose of this testing is the development of a structural design guide for the DWB, which includes stiffness and strength data. The design manual …
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Free Vibration of Bi-directional Functionally Graded Material Circular Beams using Shear Deformation Theory employing Logarithmic Function of Radius
Curved beams such as arches find ubiquitous applications in civil, mechanical and aerospace engineering, e.g., stiffened floors, fuselage, railway compartments, and wind turbine blades. The analysis of free vibrations of curved structures plays a critical role in their design to avoid transient …
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Passive Damping in Stiffened Structures Using Viscoelastic Polymers
… First, we investigated complex damped modes in beams in the presence of a viscoelastic layer sandwiched between two elastic layers. The problem was solved using two approaches, (1) Rayleigh beam theory and analyzed using the principle of virtual work, and (2) by using 2D plane stress elasticity …
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