Download or read book Linear and Nonlinear Analysis of Laminated Plates using Small and Large Deflection Theory written by Osama Mohammed Elmardi Suleiman Khayal and published by GRIN Verlag. This book was released on 2019-04-09 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master's Thesis from the year 2003 in the subject Engineering - Mechanical Engineering, grade: 5.0, Nile Valley University, course: BSc, language: English, abstract: The objective of this book is to present a complete and up to date treatment of rectangular laminated plates with uniform cross sections. Dynamic Relaxation (DR) method is presented for the geometrically linear and nonlinear laterally loaded, rectangular laminated plates. The analysis uses the Mindlin plate theory which accounts for transverse shear deformation. A computer program has been compiled. The convergence and accuracy of the DR solutions for elastic small and large deflection response are established by comparison with various exact and approximate solutions. New numerical results are generated for uniformly loaded square laminated plates which serve to quantify the effects of shear deformation, material anisotropy, fiber orientation, and coupling between bending and stretching. It was found that linear analysis seriously over-predicts deflections of plates. The shear deflection depends greatly on a number of factors such as length/ thickness ratio, degree of anisotropy and number of layers. It was also found that coupling between bending and stretching can increase or decrease the bending stiffness of a laminate depending on whether it is positive or negative.

Download or read book Nonlinear Analysis of Rectangular Laminated Plates written by Mohammed Elmardi Osama and published by LAP Lambert Academic Publishing. This book was released on 2015-08-21 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Relaxation method coupled with finite differences is used for the analysis of rectangular laminates. In this method, the equilibrium equations are converted to dynamic equations by adding damping and inertia terms. These are then expressed in finite differences form and the solution is obtained by an iterative procedure.The functions of the DR program are as follows: read the data file, compute the stiffness of the laminate, the fictitious densities, the velocities and displacements and the mid-plane deflections and stresses, check the stability of the numerical computations, convergence of the solution, and the wrong convergence, compute through thickness stresses in direction of plate axes, and transform through thickness stresses in the lamina principal axes. The errors inherent in the DR technique include discretization error which is due to the replacement of a continuous function with a discrete function, and an additional error due to the non-exact solution of the discrete equations. The present DR results are compared with similar studies to validate the DR program, and the results are found of acceptable accuracy.

Download or read book A Two Step Perturbation Method in Nonlinear Analysis of Beams Plates and Shells written by Hui-Shen Shen and published by John Wiley & Sons. This book was released on 2013-07-03 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The capability to predict the nonlinear response of beams, plates and shells when subjected to thermal and mechanical loads is of prime interest to structural analysis. In fact, many structures are subjected to high load levels that may result in nonlinear load-deflection relationships due to large deformations. One of the important problems deserving special attention is the study of their nonlinear response to large deflection, postbuckling and nonlinear vibration. A two-step perturbation method is firstly proposed by Shen and Zhang (1988) for postbuckling analysis of isotropic plates. This approach gives parametrical analytical expressions of the variables in the postbuckling range and has been generalized to other plate postbuckling situations. This approach is then successfully used in solving many nonlinear bending, postbuckling, and nonlinear vibration problems of composite laminated plates and shells, in particular for some difficult tasks, for example, shear deformable plates with four free edges resting on elastic foundations, contact postbuckling of laminated plates and shells, nonlinear vibration of anisotropic cylindrical shells. This approach may be found its more extensive applications in nonlinear analysis of nano-scale structures. Concentrates on three types of nonlinear analyses: vibration, bending and postbuckling Presents not only the theoretical aspect of the techniques, but also engineering applications of the method A Two-Step Perturbation Method in Nonlinear Analysis of Beams, Plates and Shells is an original and unique technique devoted entirely to solve geometrically nonlinear problems of beams, plates and shells. It is ideal for academics, researchers and postgraduates in mechanical engineering, civil engineering and aeronautical engineering.

Download or read book Proceedings of the Tenth International Conference on Composite Materials written by Anoush Poursartip and published by Woodhead Publishing. This book was released on 1995 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Analyses of Laminated Plates and Shells with Damage written by Yi-Ming Fu and published by WIT Press. This book was released on 2013 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this book are related to composite mechanics, nonlinear plate and shell mechanics, damage mechanics, elasto-plastic mechanics, visco-elastic mechanics, piezoelectric elastic mechanics and nonlinear dynamics, which embody the combination and integration among solid mechanics, material science and nonlinear science.

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Linear and Nonlinear Deflection Analysis of Thick Rectangular Plates Using Finite Differences written by Nasr-Eddine Bencharif and published by . This book was released on 1992 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Refined Nonlinear Analysis of Laminated Composite Plates and Shells written by Junuthula Narasimha Reddy and published by . This book was released on 1987 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: This final technical report summarizes in a compact form the results of a two-year research program on the development of refined shear deformation theories of plates and shells, and their analytical solutions. The detailed results are reported in various reports and technical papers during the course of the project. A third-order, nonlinear shear deformation shell theory and finite element model that accounts for parabolic distribution of transverse shear stresses through thickness and the von Karman nonlinear strains was developed during an investigation sponsored by NASA Langley Research Center during the first year of this research. The most significant contributions of this research are: 1. The development of analytical solutions of the linear theory for various boundary conditions. The space-time concept is used to develop such solutions. 2. The development of finite element models for first-ply and post-first-ply failure analysis.

Download or read book Large Deformation Analysis of Composite Plates written by Adolfo Michael Morales and published by . This book was released on 1991 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Thin Walled Structures written by J.Y. Richard Liew and published by Elsevier. This book was released on 1998-11-27 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thin-plated structures are used extensively in building construction, automobile, aircraft, shipbuilding and other industries because of a number of favourable factors such as high strength-weight ratio, development of new materials and processes and the availability of efficient analytical methods. This class of structure is made by joining thin plates together at their edges and they rely for their rigidity and strength upon the tremendous stiffness and load-carrying capacity of the flat plates from which they are made. Many of the problems encountered in these structures arise because of the effects of local buckling. The knowledge of various facets of this phenomenon has increased dramatically since the 1960s. Problem areas which were hitherto either too complex for rigorous analysis or whose subtleties were not fully realized have in these years been subjected to intensive study. Great advances have been made in the areas of inelastic buckling. The growth in use of lightweight strong materials, such as fibre-reinforced plastics has also been a contributory factor towards the need for advances in the knowledge of the far post-buckling range. The conference is a sequel to the international conference organised by the University of Strathclyde in December 1996 and this international gathering will provide the opportunity for discussion of recent developments and trends in design of thin-walled structures.

Download or read book Linear Analysis of Laminated Composite Plates Using a Higher order Shear Deformation Theory written by Nam Dinh Phan and published by . This book was released on 1984 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamic Nonlinear Behavior of Composite Plates written by Hakan Tanrıöver and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing Galerkin technique, analyses on the dynamic nonlinear behavior of composite plates are performed in the course of this study. Large deflection of plates is investigated. Here, the magnitude of the deflections that are dealt. with is of the same order as the thickness of the laminates. Hence, geometric nonlinear problem of the laminates is of interest. First order shear deformation theory and von Karman type nonlinearity are utilized and the governing differential equations are solved by choosing suitable polynomials as trial functions to approximate the plate displacement functions. -= The Galerkin method along with Newton-Raphson method is applied to large deflection analysis of laminated composite plates with various edge conditions. Dynamic large deflection analysis of composite plates is investigated using the Galerkin and the Newton-Raphson methods with Newmark direct time integration scheme. The solutions are compared to that of Chebyshev series and finite elements. A very close agreement has been observed with these approximating methods. In the solution process, analytical computation has been done wherever it is possible, and analytical-numerical type approach has been made for all problems.

Download or read book A Higher order Theory for Geometrically Nonlinear Analysis of Composite Laminates written by J. N. Reddy and published by . This book was released on 1987 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computational Methods in Nonlinear Structural and Solid Mechanics written by Ahmed K. Noor and published by Elsevier. This book was released on 2014-05-20 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.

Download or read book Non Linear Dynamic Analysis of Flat Laminated Plates by the Finite Element Method written by and published by . This book was released on 1977 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite-element structural model has been developed for the dynamic analysis of laminated, thick plates. The model uses constant thickness quadrilateral elements to represent the shape of the plate and these elements are stacked in the thickness direction to represent the desired material layers. The analysis allows for orthotropic material properties of each layer as well as for elastic-plastic material response. Nonlinear strain displacement relations are used in the formulation to represent large, transverse plate deflections. The finite-element model is used to prepare a computer program for the numerical calculations. Two versions of the program have been prepared, which correspond to two different time integration numerical methods. These methods include finite-difference and predictor-corrector techniques. The computer programs are designed for time and space dependent pressure loads to be applied to one surface of the plate. However, the programs could be used for other loading conditions by changing one subroutine.

Download or read book Non linear Dynamic Instability Analysis of Uniform and Thickness tapered Composite Plates written by Mehdi Darabi and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laminated composite plates and shells are being increasingly used in aerospace, automotive, and civil engineering as well as in many other applications of modern engineering structures. Tailoring ability of fiber-reinforced polymer composite (FRPC) materials for the stiffness and strength properties with regard to the reduction of structural weight made them superior compared with metals in such structures. In some specific applications such as aircraft wing skins composite structures need to be stiff at one location and flexible at another location. It is desirable to tailor the material and structural arrangements so as to match the localized strength and stiffness requirements by dropping the plies in laminates. Such laminates are called as tapered laminates. In the dynamic instability that occurs in the structures subjected to harmonic in-plane loading not only the amplitude of the harmonic in-plane load but also the forcing frequencies make the structures fail at load amplitude that is much less than the static buckling load and over a range of forcing frequencies rather than at a single value. In this case, the bending deformations, the rotations and the strains are not small enough in comparison with unity, so the linear theory just provides an outline about the dynamically-unstable regions and is not capable to determine the amplitude of the steady-state vibration in these instability regions. The main objective of this dissertation is to develop a geometric non-linear formulation and the corresponding solution method for uniform and internally-thickness-tapered laminated composite plates. This Ph.D. research work is completed by extension of this developed geometric non-linear formulation to the uniform laminated composite cylindrical shells as well. The novel parts of this Ph.D. dissertation are the geometric non-linear formulations and corresponding displacement-based solutions obtained using approximate analytical methods, for dynamic instability analysis of internally-thickness-tapered laminated composite plates and cylindrical panels. To the best of author knowledge, there is no non-linear dynamic instability study on internally-thickness-tapered laminated composite plates and cylindrical panels in literature. There is only one study on the linear dynamic instability of internally-thickness-tapered flat plates using the FEM and Ritz method. Here the developed analytical geometric nonlinear formulation not only is capable of predicting the instability regions but also is capable of determining both stable- and unstable-solutions amplitudes of steady-state vibrations of such internally-thickness-tapered laminated composite plates and cylindrical panels in these dynamically-unstable regions. Furthermore, the effect of the influential parameters on the non-linear dynamic instability of laminated plates and cylindrical shells is extensively studied. These parametric studies were carried out on cross-ply laminated composite uniform plates, flat and cylindrical tapered plates, and uniform cylindrical shells. In this study, the non-linear von Karman strains associated with large deflections are considered. Considering the simply supported boundary condition the Navier's double Fourier series with the time-dependent coefficient is chosen to describe the out-of-plane displacement function. For the uniform laminated composite rectangular plates and uniform laminated composite cylindrical shells, a combination of displacement and a stress-based solution is considered while for the internally-thickness-tapered laminated composites plates and cylindrical panels a displacement-based solution is considered to solve the equations of motion. Then the general Galerkin method is used for the moment-equilibrium equation of motion to satisfy spatial dependence in the partial differential equation of motion to produce a set of non-linear Mathieu-Hill equations. These equations are ordinary differential equations, with time-dependency. Finally, by applying the Bolotin's method to these non-linear Mathieu-Hill equations, the dynamically-unstable regions, stable-, and unstable-solutions amplitudes of the steady-state vibrations in these dynamically-unstable regions are obtained for both the uniform and the internally-thickness-tapered laminated composites plates and uniform cylindrical shells. A comprehensive parametric study on the non-linear dynamic instability of these simply supported cross-ply laminated composite uniform plates, flat and cylindrical internally-thickness-tapered plates and uniform cylindrical shells are carried out to examine and compare: the effects of the orthotropy in the laminated composite uniform plates, number of layers for symmetric and antisymmetric uniform cross-ply laminated composite plates and cylindrical shells, different taper configurations and taper angles in both flat tapered plates and tapered cylindrical panels, magnitudes of both tensile and compressive axial loads in the uniform and tapered plates and uniform cylindrical shells, aspect ratios of the loaded-to-unloaded widths of the uniform plates, flat and cylindrical internally-thickness-tapered panels and length-to-radius ratio of the cylindrical shells, length-to-average-thickness ratio of the flat plates and cylindrical panels and radius-to-thickness ratio of the cylindrical shells, and curvature of the tapered cylindrical panels i.e. radius-to-loaded widths ratio on the instability regions and the parametric resonance particularly the steady-state vibrations amplitudes of cross-ply laminated composite uniform plates, flat and cylindrical internally-thickness-tapered plates and uniform cylindrical shells. The present results show good agreement with those available in the literature.

Download or read book Energy Principles and Variational Methods in Applied Mechanics written by J. N. Reddy and published by John Wiley & Sons. This book was released on 2017-07-21 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates. It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton’s principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method. Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates. Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.