Author: Wasim ArshadPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Static and Buckling Analyses of Curved Metallic and Composite Beams Using Hierarchical FEM.
Author: Wasim ArshadVibration Analysis of Composite Beams Using Hierarchical Finite Element Method
Author: Amit K. NigamPublisher:
ISBN:
Category : Composite construction
Languages : en
Pages : 0
Book Description
The conventional finite element formulation has limitations in performing the dynamic analysis of composite beams. The discretization necessary for obtaining solutions with acceptable accuracy in the determination of dynamic response parameters leads to discontinuities in stress and strain distributions. The hierarchical finite element formulation provides us with the advantages of using fewer elements and obtaining better accuracy in the calculation of natural frequencies, displacements and stresses. The hierarchical finite element formulation for uniform and variable-thickness composite beams is developed in the present work. Two sub-formulations of hierarchical finite element method viz. polynomial and trigonometric sub-formulations have been developed. The efficiency and accuracy of the developed formulation are established in comparison with closed-form solutions for uniform composite beams. The static response of uniform composite beams is evaluated using the hierarchical finite element method. The dynamic response of variable-thickness composite beams is calculated based on the developed formulation. A detailed parametric study encompassing the influences of boundary conditions, laminate configuration, taper angle and the type of taper on the dynamic response of the beam is performed. The NCT-301 graphite-epoxy composite material is considered in the analysis and in the parametric study.
Static and Vibration Analysis of Thick Generally Laminated Composite Deep Curved Beams
Author: Publisher:
ISBN:
Category : Composite materials
Languages : en
Pages :
Book Description
A rigorous first order shear deformation theory (FSDT) is employed along with modified ABD parameters to analyze static and free vibration behavior of generally laminated beams and shafts. Different approaches for calculating composite beam stiffness parameters have been considered and the most accurate one that accounts for material couplings have been used to analyze static and free vibration behaviors of straight beams with different laminates and boundary conditions. In order to analyze curved beams, the term (1+z/R) is exactly integrated into ABD parameters formulation and an equivalent modulus of elasticity is used instead of traditional stiffness terms to account for both the deepness and material coupling of the beam structures. The model has been solved analytically for simply supported boundary conditions and the general differential quadrature (GDQ) technique has been used for other boundary conditions. The results for deflection, moment resultants, and natural frequencies of straight and curved beams with different deepness ratio (often called depth ratio), slenderness ratio, lamination, and boundary conditions are compared with those obtained from accurate three dimensional finite element simulations using ANSYS. The results were in close proximity to three dimensional finite element results. The model is then applied to transverse vibration analysis of multi-span generally laminated composite shafts with a lumped mass using GDQ. The results for natural frequencies are compared to experimental and other analytical models as well as finite element simulation. The results in the present analyses were found accurate. Conclusively, it has been shown that when considering more accurate stiffness parameters, a First Order Shear Deformation Theory can accurately predict static and free vibration behaviors of composite beams and multispan shafts of any deepness, lamination and boundary conditions.
Free Vibration Analysis of Tapered Composite Beams Using Hierarchical Finite Element Method
Author: Lin ChenVibration and Buckling Analyses of Tapered Composite Beams Using Conventional and Advanced Finite Element Formulations
Author: Abolghassem ZabihollahMaster's Theses Directories
Author: Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 316
Book Description
"Education, arts and social sciences, natural and technical sciences in the United States and Canada".
Applied mechanics reviews
Author: Beam Structures
Author: Erasmo CarreraPublisher: John Wiley & Sons
ISBN: 1119951046
Category : Science
Languages : en
Pages : 171
Book Description
Beam theories are exploited worldwide to analyze civil, mechanical, automotive, and aerospace structures. Many beam approaches have been proposed during the last centuries by eminent scientists such as Euler, Bernoulli, Navier, Timoshenko, Vlasov, etc. Most of these models are problem dependent: they provide reliable results for a given problem, for instance a given section and cannot be applied to a different one. Beam Structures: Classical and Advanced Theories proposes a new original unified approach to beam theory that includes practically all classical and advanced models for beams and which has become established and recognised globally as the most important contribution to the field in the last quarter of a century. The Carrera Unified Formulation (CUF) has hierarchical properties, that is, the error can be reduced by increasing the number of the unknown variables. This formulation is extremely suitable for computer implementations and can deal with most typical engineering challenges. It overcomes the problem of classical formulae that require different formulas for tension, bending, shear and torsion; it can be applied to any beam geometries and loading conditions, reaching a high level of accuracy with low computational cost, and can tackle problems that in most cases are solved by employing plate/shell and 3D formulations. Key features: compares classical and modern approaches to beam theory, including classical well-known results related to Euler-Bernoulli and Timoshenko beam theories pays particular attention to typical applications related to bridge structures, aircraft wings, helicopters and propeller blades provides a number of numerical examples including typical Aerospace and Civil Engineering problems proposes many benchmark assessments to help the reader implement the CUF if they wish to do so accompanied by a companion website hosting dedicated software MUL2 that is used to obtain the numerical solutions in the book, allowing the reader to reproduce the examples given in the book as well as to solve other problems of their own www.mul2.com Researchers of continuum mechanics of solids and structures and structural analysts in industry will find this book extremely insightful. It will also be of great interest to graduate and postgraduate students of mechanical, civil and aerospace engineering.
MATLAB Codes for Finite Element Analysis
Author: A. J. M. FerreiraPublisher: Springer Science & Business Media
ISBN: 1402092008
Category : Technology & Engineering
Languages : en
Pages : 236
Book Description
This book intend to supply readers with some MATLAB codes for ?nite element analysis of solids and structures. After a short introduction to MATLAB, the book illustrates the ?nite element implementation of some problems by simple scripts and functions. The following problems are discussed: • Discrete systems, such as springs and bars • Beams and frames in bending in 2D and 3D • Plane stress problems • Plates in bending • Free vibration of Timoshenko beams and Mindlin plates, including laminated composites • Buckling of Timoshenko beams and Mindlin plates The book does not intends to give a deep insight into the ?nite element details, just the basic equations so that the user can modify the codes. The book was prepared for undergraduate science and engineering students, although it may be useful for graduate students. TheMATLABcodesofthisbookareincludedinthedisk.Readersarewelcomed to use them freely. The author does not guarantee that the codes are error-free, although a major e?ort was taken to verify all of them. Users should use MATLAB 7.0 or greater when running these codes. Any suggestions or corrections are welcomed by an email to [email protected].
Author: