Nonlinear Structural Dynamics Using Fe Methods

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Nonlinear Structural Dynamics Using Fe Methods


Nonlinear Structural Dynamics Using Fe Methods
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Nonlinear Structural Dynamics Using Fe Methods


Nonlinear Structural Dynamics Using Fe Methods
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Author : James F. Doyle
language : en
Publisher: Cambridge University Press
Release Date : 2014-10-06



Nonlinear Structural Dynamics Using Fe Methods written by James F. Doyle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-06 with Science categories.


This book will be useful to students and practicing engineers, giving them a richer understanding of their trade and accelerating learning on new problems. Independent workers will find access to advanced topics presented in an accessible manner.

Model Correlation And Updating Of Geometrically Nonlinear Structural Models Using Nonlinear Normal Modes And The Multi Harmonic Balance Method


Model Correlation And Updating Of Geometrically Nonlinear Structural Models Using Nonlinear Normal Modes And The Multi Harmonic Balance Method
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Author : Christopher Ian Van Damme
language : en
Publisher:
Release Date : 2019



Model Correlation And Updating Of Geometrically Nonlinear Structural Models Using Nonlinear Normal Modes And The Multi Harmonic Balance Method written by Christopher Ian Van Damme and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.


Future generations of advanced spacecraft and aircraft will have a digital twin, or a model that is used to predict life and that is updated as the vehicle ages. A key component of the digital twin concept is the structural dynamics surrogate model that is used to simulate the response of structural components to the loads that the vehicle experiences. The structural surrogate will be used to predict responses, stress and ultimately the estimated life of the vehicle. The most common approach for modeling structures in the aerospace industry is the Finite Element (FE) method, which can accurately simulate the response of the structural components due to various loading conditions. Many of these advanced vehicles will also be operating in extreme environments where certain components may behave nonlinearly such as the large deformations of thin panels. As a result, to use an FE model to simulate the response would be extremely expensive. To circumvent the use of FE models to compute the nonlinear response of structures, methods have been sought to create reduced order models (ROM)s, which capture the essential characteristics of the parent FE model but at a greatly reduced computational cost. One disadvantage of ROMs is that it tends to be more difficult to ensure that they are accurate. Regardless of the numerical modeling approach used they are unlikely to exactly represent the physical structure. As a result, model correlation and updating procedures are required to ensure they are accurate representations of the real hardware. Unfortunately, linear model correlation and validation techniques that are commonly used in the aerospace industry are no longer valid in the nonlinear response regime so a new set of tools is required to validate nonlinear models. Both the nonlinear FE models and nonlinear ROMs can be highly sensitive to boundary conditions, imperfections and pre-stresses which are difficult to account for in the initial model and thus model updating is required. Furthermore, as the structure ages, changes to the structure can occur and must be properly accounted for to ensure life predictions remain accurate. The primary contribution of this work is the development of a model correlation and updating procedure applied to both FE models and ROMs based upon Nonlinear Normal Modes (NNMs) computed using the Multi-Harmonic Balance method. The NNMs serve as a strong metric to correlate the numerical models, because they represent the dynamics of the nonlinear system over a range of amplitudes and they are independent of the loading applied to the system. NNMs can be extracted from experiments so that numerical models can be correlated and validated with test data. This work presents a novel method of computing analytical gradients of the NNMs' solutions with respect to system parameters greatly accelerating the model updating procedure. The procedure is applied to both FE models and ROMs for several experimental systems demonstrating the capabilities of the model updating procedure for the two representations of geometrically nonlinear systems.

Structure Preserving Integrators In Nonlinear Structural Dynamics And Flexible Multibody Dynamics


Structure Preserving Integrators In Nonlinear Structural Dynamics And Flexible Multibody Dynamics
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Author : Peter Betsch
language : en
Publisher: Springer
Release Date : 2016-05-10



Structure Preserving Integrators In Nonlinear Structural Dynamics And Flexible Multibody Dynamics written by Peter Betsch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-10 with Technology & Engineering categories.


This book focuses on structure-preserving numerical methods for flexible multibody dynamics, including nonlinear elastodynamics and geometrically exact models for beams and shells. It also deals with the newly emerging class of variational integrators as well as Lie-group integrators. It discusses two alternative approaches to the discretization in space of nonlinear beams and shells. Firstly, geometrically exact formulations, which are typically used in the finite element community and, secondly, the absolute nodal coordinate formulation, which is popular in the multibody dynamics community. Concerning the discretization in time, the energy-momentum method and its energy-decaying variants are discussed. It also addresses a number of issues that have arisen in the wake of the structure-preserving discretization in space. Among them are the parameterization of finite rotations, the incorporation of algebraic constraints and the computer implementation of the various numerical methods. The practical application of structure-preserving methods is illustrated by a number of examples dealing with, among others, nonlinear beams and shells, large deformation problems, long-term simulations and coupled thermo-mechanical multibody systems. In addition it links novel time integration methods to frequently used methods in industrial multibody system simulation.

Nonlinear Structures Systems Volume 1


Nonlinear Structures Systems Volume 1
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Author : Gaetan Kerschen
language : en
Publisher: Springer Nature
Release Date : 2021-11-16



Nonlinear Structures Systems Volume 1 written by Gaetan Kerschen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-16 with Technology & Engineering categories.




Wave Propagation In Structures


Wave Propagation In Structures
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Author : James F. Doyle
language : en
Publisher: Springer Nature
Release Date : 2020-12-23



Wave Propagation In Structures written by James F. Doyle and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-23 with Science categories.


This third edition builds on the introduction of spectral analysis as a means of investigating wave propagation and transient oscillations in structures. Each chapter of the textbook has been revised, updated and augmented with new material, such as a modified treatment of the curved plate and cylinder problem that yields a relatively simple but accurate spectral analysis. Finite element methods are now integrated into the spectral analyses to gain further insights into the high-frequency problems. In addition, a completely new chapter has been added that deals with waves in periodic and discretized structures. Examples for phononic materials meta-materials as well as genuine atomic systems are given.

Finite Element Analysis


Finite Element Analysis
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Author : M Moatamedi
language : en
Publisher: CRC Press
Release Date : 2018-07-20



Finite Element Analysis written by M Moatamedi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-20 with Mathematics categories.


Finite element analysis has become the most popular technique for studying engineering structures in detail. It is particularly useful whenever the complexity of the geometry or of the loading is such that alternative methods are inappropriate. The finite element method is based on the premise that a complex structure can be broken down into finitely many smaller pieces (elements), the behaviour of each of which is known or can be postulated. These elements might then be assembled in some sense to model the behaviour of the structure. Intuitively this premise seems reasonable, but there are many important questions that need to be answered. In order to answer them it is necessary to apply a degree of mathematical rigour to the development of finite element techniques. The approach that will be taken in this book is to develop the fundamental ideas and methodologies based on an intuitive engineering approach, and then to support them with appropriate mathematical proofs where necessary. It will rapidly become clear that the finite element method is an extremely powerful tool for the analysis of structures (and for other field problems), but that the volume of calculations required to solve all but the most trivial of them is such that the assistance of a computer is necessary. As stated above, many questions arise concerning finite element analysis. Some of these questions are associated with the fundamental mathematical formulations, some with numerical solution techniques, and others with the practical application of the method. In order to answer these questions, the engineer/analyst needs to understand both the nature and limitations of the finite element approximation and the fundamental behaviour of the structure. Misapplication of finite element analysis programs is most likely to arise when the analyst is ignorant of engineering phenomena.

Topics In Nonlinear Dynamics Volume 1


Topics In Nonlinear Dynamics Volume 1
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Author : Gaetan Kerschen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-24



Topics In Nonlinear Dynamics Volume 1 written by Gaetan Kerschen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-24 with Technology & Engineering categories.


Topics in Nonlinear Dynamics, Volume 1: Proceedings of the 31st IMAC, A Conference and Exposition on Structural Dynamics, 2013, the first volume of seven from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: Nonlinear Oscillations Nonlinearities ... In Practice Nonlinear System Identification: Methods Nonlinear System Identification: Friction & Contact Nonlinear Modal Analysis Nonlinear Modeling & Simulation Nonlinear Vibration Absorbers Constructive Utilization of Nonlinearity