Development of a New 3D Beam Finite Element with Deformable Section PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Development of a New 3D Beam Finite Element with Deformable Section PDF full book. Access full book title Development of a New 3D Beam Finite Element with Deformable Section by Sasa Gao. Download full books in PDF and EPUB format.
Author: Sasa Gao Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
The new beam element is an evolution of a two nodes Timoshenko beam element with an extra node located at mid-length. That extra node allows the introduction of three extra strain components so that full 3D stress/strain constitutive relations can be used directly. The second step is to introduce the orthotropic behavior and carry out validation for large displacements/small strains based on Updated Lagrangian Formulation. A series of numerical analyses are carried out which shows that the enhanced 3D element provides an excellent numerical performance. Indeed, the final goal is to use the new 3D beam elements to model yarns in a textile composite preform. For this purpose, the third step is introducing contact behavior and carrying out validation for new 3D beam to beam contact with rectangular cross section. The contact formulation is derived on the basis of Penalty Formulation and Updated Lagrangian formulation using physical shape functions with shear effect included. An effective contact search algorithm is elaborated. And a consistent linearization of contact contribution is derived and expressed in suitable matrix form, which is easy to use in FEM approximation. Finally, some numerical examples are presented which are only qualitative analysis of contact and checking the correctness and the effectiveness of the proposed 3D beam element.
Author: Sasa Gao Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
The new beam element is an evolution of a two nodes Timoshenko beam element with an extra node located at mid-length. That extra node allows the introduction of three extra strain components so that full 3D stress/strain constitutive relations can be used directly. The second step is to introduce the orthotropic behavior and carry out validation for large displacements/small strains based on Updated Lagrangian Formulation. A series of numerical analyses are carried out which shows that the enhanced 3D element provides an excellent numerical performance. Indeed, the final goal is to use the new 3D beam elements to model yarns in a textile composite preform. For this purpose, the third step is introducing contact behavior and carrying out validation for new 3D beam to beam contact with rectangular cross section. The contact formulation is derived on the basis of Penalty Formulation and Updated Lagrangian formulation using physical shape functions with shear effect included. An effective contact search algorithm is elaborated. And a consistent linearization of contact contribution is derived and expressed in suitable matrix form, which is easy to use in FEM approximation. Finally, some numerical examples are presented which are only qualitative analysis of contact and checking the correctness and the effectiveness of the proposed 3D beam element.
Author: Sasa Gao Publisher: ISBN: Category : Languages : en Pages : 145
Book Description
The new beam element is an evolution of a two nodes Timoshenko beam element with an extra node located at mid-length. That extra node allows the introduction of three extra strain components so that full 3D stress/strain constitutive relations can be used directly. The second step is to introduce the orthotropic behavior and carry out validation for large displacements/small strains based on Updated Lagrangian Formulation. A series of numerical analyses are carried out which shows that the enhanced 3D element provides an excellent numerical performance. Indeed, the final goal is to use the new 3D beam elements to model yarns in a textile composite preform. For this purpose, the third step is introducing contact behavior and carrying out validation for new 3D beam to beam contact with rectangular cross section. The contact formulation is derived on the basis of Penalty Formulation and Updated Lagrangian formulation using physical shape functions with shear effect included. An effective contact search algorithm is elaborated. And a consistent linearization of contact contribution is derived and expressed in suitable matrix form, which is easy to use in FEM approximation. Finally, some numerical examples are presented which are only qualitative analysis of contact and checking the correctness and the effectiveness of the proposed 3D beam element.
Author: Przemyslaw Litewka Publisher: Springer Science & Business Media ISBN: 3642129404 Category : Science Languages : en Pages : 175
Book Description
Phenomena occurring during a contact of two bodies are encountered in everyday life. In reality almost every type of motion is related to frictional contact between a moving body and a ground. Moreover, modeling of simple and more complex processes as nailing, cutting, vacuum pressing, movement of machines and their elements, rolling or, finally, a numerical simulation of car crash tests, requires taking contact into account. Therefore, its analysis has been a subject of many research efforts for a long time now. However, it is author’s opinion that there are relatively few efforts related to contact between structural elements, like beams, plates or shells. The purpose of this work is to fill this gap. It concerns the beam-to-beam contact as a specific case of the 3D solids contact. A numerical formulation of frictional contact for beams with two shapes of cross-section is derived. Further, a couple of effective methods for modeling of smooth curves representing beam axes are presented. A part of the book is also devoted to analyze some aspects of thermo-electro-mechanical coupling in contact of thermal and electric conductors. Analyses in every chapter are illustrated with numerical examples showing the performance of derived contact finite elements.
Author: Ahmed A. Shabana Publisher: Cambridge University Press ISBN: 1108485642 Category : Science Languages : en Pages : 425
Book Description
"The primary purpose of this book is to develop methods for the dynamic analysis of multibody systems (MBS) that consist of interconnected rigid and deformable components. In that sense, the objective may be considered as a generalization of methods of structural and rigid body analysis. Many mechanical and structural systems such as vehicles, space structures, robotics, mechanisms, and aircraft consist of interconnected components that undergo large translational and rotational displacements. Figure 1.1 shows examples of such systems that can be modeled as multibody systems. In general, a multibody system is defined to be a collection of subsystems called bodies, components, or substructures. The motion of the subsystems is kinematically constrained because of different types of joints, and each subsystem or component may undergo large translations and rotational displacements"--
Author: Xiaoshan Lin Publisher: Woodhead Publishing ISBN: 0128169001 Category : Architecture Languages : en Pages : 256
Book Description
Nonlinear Finite Element Analysis of Composite and Reinforced Concrete Beams presents advanced methods and techniques for the analysis of composite and FRP reinforced concrete beams. The title introduces detailed numerical modeling methods and the modeling of the structural behavior of composite beams, including critical interfacial bond-slip behavior. It covers a new family of composite beam elements developed by the authors. Other sections cover nonlinear finite element analysis procedures and the numerical modeling techniques used in commercial finite element software that will be of particular interest to engineers and researchers executing numerical simulations. Gives advanced methods and techniques for the analysis of composite and fiber Reinforced Plastic (FRP) and reinforced concrete beams Presents new composite beam elements developed by the authors Introduces numerical techniques for the development of effective finite element models using commercial software Discusses the critical issues encountered in structural analysis Maintains a clear focus on advanced numerical modeling
Author: Huimin Song Publisher: ISBN: Category : Finite element method Languages : en Pages :
Book Description
This dissertation developed a method that can accurately and efficiently capture the response of a structure by rigorous combination of a reduced-dimensional beam finite element model with a model based on full two-dimensional (2D) or three-dimensional (3D) finite elements. As a proof of concept, a joint 2D-beam approach is studied for planar-inplane deformation of strip-beams. This approach is developed for obtaining understanding needed to do the joint 3D-beam model. A Matlab code is developed to solve achieve this 2D-beam approach. For joint 2D-beam approach, the static response of a basic 2D-beam model is studied. The whole beam structure is divided into two parts. The root part where the boundary condition is applied is constructed as a 2D model. The free end part is constructed as a beam model. To assemble the two different dimensional model, a transformation matrix is used to achieve deflection continuity or load continuity at the interface. After the transformation matrix from deflection continuity or from load continuity is obtained, the 2D part and the beam part can be assembled together and solved as one linear system. For a joint 3D-beam approach, the static and dynamic response of a basic 3D-beam model is studied. A Fortran program is developed to achieve this 3D-beam approach. For the uniform beam constrained at the root end, similar to the joint 2D-beam analysis, the whole beam structure is divided into two parts. The root part where the boundary condition is applied is constructed as a 3D model. The free end part is constructed as a beam model. To assemble the two different dimensional models, the approach of load continuity at the interface is used to combine the 3D model with beam model. The load continuity at the interface is achieved by stress recovery using the variational-asymptotic method. The beam properties and warping functions required for stress recovery are obtained from VABS constitutive analysis. After the transformation matrix from load continuity is obtained, the 3D part and the beam part can be assembled together and solved as one linear system. For a non-uniform beam example, the whole structure is divided into several parts, where the root end and the non-uniform parts are constructed as 3D models and the uniform parts are constructed as beams. At all the interfaces, the load continuity is used to connect 3D model with beam model. Stress recovery using the variational-asymptotic method is used to achieve the load continuity at all interfaces. For each interface, there is a transformation matrix from load continuity. After we have all the transformation matrices, the 3D parts and the beam parts are assembled together and solved as one linear system.
Author: Pisey Keo Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
This thesis aims at developing simulation tools and a design method for hybrid beam-columns subjected to combined axial force, bending and shear. The thesis is divided in four main parts and comprises 6 chapters. In the first part, we develop a new finite element formulation based on the exact stiffness matrix for the linear elastic analysis of hybrid beam-columns in partial interaction taking into account the shear deformability of the encasing component. This element relies on the analytical solution of a set of coupled system of differential equations in which the primary variables are the slips and the shear deformation of the encasing beam. The latter is derived by combining the governing equations (equilibrium, kinematics, constitutive laws) and solved for a specific element with arbitrary boundary conditions and loading. Special care has been taken while dealing with the constants of integration. The second part of the thesis addresses a new finite element formulation for a large displacement analysis of elastic hybrid beam-columns taking into account the slips that occur at each steel-concrete interface. The co-rotational method is adopted in which the movement of the clement is divided into a rigid body motion and a deformable portion in the local co-rotational frame which moves and rotates continuously with the element but does not deform with it. Appropriate selection of local kinematic variables along with corresponding transformation matrices allows transforming the linear finite element developed in Part I into a nonlinear one resulting in an efficient locking-free formulation. In Part 3, we derive a finite element formulation for materially nonlinear analysis of hybrid beam-columns with shear deformable encasing component, in partial interaction and subjected to the combined shear and bending. The fiber model is adopted with condensation of the 3D stress-strain relations which allow to account for confinement in a rigorous manner as well as the effect of the stirrups. Part 4 examines the adequacy of the moment magnification method given in Eurocode 2 and 4 to provide an accura te estimation of the ultimate load of hybrid columns subjected to a combination of axial load and uniaxial bending moment. The developed finite element model with a shear rigid encasing component is used to conduct a parametric study comprising 1140 cases to cover the various possible situations. The predictions of the model are compared against the values given by the simplified methods of Eurocode 2 and Eurocode 4. lt is shown that these simplified methods does not give satisfactorily results. Based on the analysis of larger number of cases (2960 configurations), the moment magnification method has been calibrated for hybrid columns.
Author: Sasa Gao
Author: Sasa Gao
Author: Sasa Gao
Author: Karin Nachbagauer
Author: Przemyslaw Litewka
Author: Ahmed A. Shabana
Author: Kouroush Bouzarjomehri
Author: Xiaoshan Lin
Author: Timothy John McInerney
Author: Huimin Song
Author: Pisey Keo