A comprehensive book focusing on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulation This book focusses on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulation. A review of the current nonlinear analysis method for earthquake engineering will be summarized and explained. Additionally, how the force analogy method can be used in nonlinear static analysis will be discussed through several nonlinear static examples. The emphasis of this book is to extend and develop the force analogy method to performing dynamic analysis on structures under earthquake excitations, where the force analogy method is incorporated in the flexural element, axial element, shearing element and so on will be exhibited. Moreover, the geometric nonlinearity into nonlinear dynamic analysis algorithm based on the force analogy method is included. The application of the force analogy method in seismic design for buildings and structural control area is discussed and combined with practical engineering.

This book concentrates on the nonlinear static and dynamic analysis of structures and structural components that are widely used in everyday engineering applications. It presents unique methods for nonlinear problems which permits the correct usage of powerful linear methods. Every topic is thoroughly explained and includes numerical examples. The new concepts, theories and methods introduced simplify the solution of the complex nonlinear problems.

The availability of computers has, in real terms, moved forward the practice of structural engineering. Where it was once enough to have any analysis given a complex configuration, the profession today is much more demanding. How engineers should be more demanding is the subject of this book. In terms of the theory of structures, the importance of geometric nonlinearities is explained by the theorem which states that "In the presence of prestress, geometric nonlinearities are of the same order of magnitude as linear elastic effects in structures. " This theorem implies that in most cases (in all cases of incremental analysis) geometric nonlinearities should be considered. And it is well known that problems of buckling, cable nets, fabric structures, ... REQUIRE the inclusion of geometric nonlinearities. What is offered in the book which follows is a unified approach (for both discrete and continuous systems) to geometric nonlinearities which incidentally does not require a discussion of large strain. What makes this all work is perturbation theory. Let the equations of equilibrium for a system be written as where P represents the applied loads, F represents the member forces or stresses, and N represents the operator which describes system equilibrium.

This book reviews the theoretical framework of nonlinear mechanics, covering computational methods, applications, parametric investigations of nonlinear phenomena and mechanical interpretation towards design. Builds skills via increasing levels of complexity.

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

Static analysis is a special case of dynamic analysis. The main reason for using static or pseudo-static analysis is the simplicity of the design and the analysis itself. Many structures such as buildings, bridges, dams, ships, airplanes, and more are studied by a dynamic analysis, which is a more complicated and time-consuming analysis compared to a static one; such structures studied in this way are safer and their behavior is closer to reality. Thanks to the important evolution of computer science, numerical methods, and mathematical models, we are boldly confronting the analysis of the most complex structures with huge dimensions, all this in a few hours in order to have an exact behavior of these structures closer to reality through the use of static dynamics and analysis. Structural Dynamics and Static Nonlinear Analysis From Theory to Application is concerned with the challenging subject of structural dynamics and the hydrodynamic principle as well as nonlinear static methods of analysis for seismic design of structures. The chapters are arranged into three parts. The first deals with single-degree of freedom (DOF) systems. The second part concerns systems with multiple degrees of freedom (DOF) with which one can create analytical and mathematical models of the most complex structures, passing through the hydrodynamic principle with an application in real cases. The last part sheds light on the principle of nonlinear static methods and its application in a real case. This book is ideal for academics, researchers, practicing structural engineers, and research students in the fields of civil and/or mechanical engineering along with practitioners interested in structural dynamics, static dynamics and analysis, and real-life applications.

This monograph describes the numerical analysis of non-linearities in structural mechanics, i.e. large rotations, large strain (geometric non-linearities), non-linear material behaviour, in particular elasto-plasticity as well as time-dependent behaviour, and contact. Based on that, the book treats stability problems and limit-load analyses, as well as non-linear equations of a large number of variables. Moreover, the author presents a wide range of problem sets and their solutions. The target audience primarily comprises advanced undergraduate and graduate students of mechanical and civil engineering, but the book may also be beneficial for practising engineers in industry.