Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes

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Publisher : DIANE Publishing
ISBN 13 : 1428995439
Total Pages : 39 pages
Book Rating : 4.4/5 (289 download)

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Book Synopsis Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes by : Stephen Anthony Rizzi

Download or read book Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes written by Stephen Anthony Rizzi and published by DIANE Publishing. This book was released on 2002 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781720508106
Total Pages : 40 pages
Book Rating : 4.5/5 (81 download)

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Book Synopsis Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes by : National Aeronautics and Space Administration (NASA)

Download or read book Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-20 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two new equivalent linearization implementations for geometrically nonlinear random vibrations are presented. Both implementations are based upon a novel approach for evaluating the nonlinear stiffness within commercial finite element codes and are suitable for use with any finite element code having geometrically nonlinear static analysis capabilities. The formulation includes a traditional force-error minimization approach and a relatively new version of a potential energy-error minimization approach, which has been generalized for multiple degree-of-freedom systems. Results for a simply supported plate under random acoustic excitation are presented and comparisons of the displacement root-mean-square values and power spectral densities are made with results from a nonlinear time domain numerical simulation.Rizzi, Stephen A. and Muravyov, Alexander A.Langley Research CenterLINEARIZATION; ACOUSTIC EXCITATION; FINITE ELEMENT METHOD; RANDOM VIBRATION; OPTIMIZATION; MATHEMATICAL MODELS; POTENTIAL ENERGY; COMPUTERIZED SIMULATION; LOAD DISTRIBUTION (FORCES); SPECTRAL BANDS; ROOT-MEAN-SQUARE ERRORS; ACOUSTIC FATIGUE; DEGREES OF FREEDOM

Improved Equivalent Linearization Implementations Using Nonlinear Stiffness Evaluation

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Publisher : DIANE Publishing
ISBN 13 : 142899582X
Total Pages : 66 pages
Book Rating : 4.4/5 (289 download)

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Book Synopsis Improved Equivalent Linearization Implementations Using Nonlinear Stiffness Evaluation by : Stephen A. Rizzi

Download or read book Improved Equivalent Linearization Implementations Using Nonlinear Stiffness Evaluation written by Stephen A. Rizzi and published by DIANE Publishing. This book was released on 2001 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report documents two new implementations of equivalent linearization for solving geometrically nonlinear random vibration problems of complicated structures. The implementations are given the acronym ELSTEP, for "Equivalent Linearization using a Stiffness Evaluation Procedure." Both implementations of ELSTEP are fundamentally the same in that they use a novel nonlinear stiffness evaluation procedure to numerically compute otherwise inaccessible nonlinear stiffness terms from commercial finite element programs. The commercial finite element program MSC/NASTRAN (NASTRAN) was chosen as the core of ELSTEP. The FORTRAN implementation calculates the nonlinear stiffness terms and performs the equivalent linearization analysis outside of NASTRAN.

A Geometrically Nonlinear Shell Finite Element for Tire Vibration Analysis

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Publisher :
ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (173 download)

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Book Synopsis A Geometrically Nonlinear Shell Finite Element for Tire Vibration Analysis by : C. J. Hunckler

Download or read book A Geometrically Nonlinear Shell Finite Element for Tire Vibration Analysis written by C. J. Hunckler and published by . This book was released on 1983 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometrically Nonlinear Analysis with the P-version of the Finite Element Method

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Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (229 download)

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Book Synopsis Geometrically Nonlinear Analysis with the P-version of the Finite Element Method by : John E. Schiermeier

Download or read book Geometrically Nonlinear Analysis with the P-version of the Finite Element Method written by John E. Schiermeier and published by . This book was released on 1990 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Element Method Analysis of Nonlinear Continua Using the Stochastic Equivalent Linearization Technique

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Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.:/5 (56 download)

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Book Synopsis Finite Element Method Analysis of Nonlinear Continua Using the Stochastic Equivalent Linearization Technique by : Ion Simulescu

Download or read book Finite Element Method Analysis of Nonlinear Continua Using the Stochastic Equivalent Linearization Technique written by Ion Simulescu and published by . This book was released on 1985 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reduced-order Models for Geometrically Nonlinear Vibrations of Thin Structures

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (127 download)

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Book Synopsis Reduced-order Models for Geometrically Nonlinear Vibrations of Thin Structures by : Yichang Shen

Download or read book Reduced-order Models for Geometrically Nonlinear Vibrations of Thin Structures written by Yichang Shen and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: When vibrating with large amplitudes, thin structures experience geometric nonlinearity due to the nonlinear relationship between strains and displacements. Because full-order nonlinear analysis on geometrically nonlinear models are computationally very expensive, the derivation of efficient reduced-order models (ROMs) has always been a topic of interest.In this thesis, nonlinear reduction methods for building ROMs with geometric nonlinearity in the framework of the Finite Element (FE) procedure, are investigated. Three non-intrusive nonlinear reduction methods are specifically investigated and systematically compared. They are: implicit condensation and expansion (ICE), modal derivatives (MD), and the reduction to invariant manifold. Theoretical analysis shows that the first two methods can give reliable results only if a slow/fast assumption between slave and master coordinates holds. On the other hand, reduction to invariant manifolds allows proposing a simulation-free reduction method that can be applied without restricting assumptions on the frequencies of the slave modes.Numerical comparisons and numerous applications to continuous structures discretized with the FE procedure, are given subsequently. For application of the invariant manifold-based method, the computation is based on a direct application of the normal form to the physical space and hence to the nodes of the FE mesh, a method recently developed. The examples show the advantages and drawbacks of each reduction method when deriving ROM, and the results of the theoretical comparison are validated.Finally, the analysis of the dynamics of a system with 1:2 internal resonance and cubic nonlinearity is given in the last part of the thesis. The real normal form of the problem is first derived. Then the solution branches of the problem are investigated and compared to simpler solutions with the dynamics truncated at order two. The divergent behaviour of the hardening/softening characteristics for single-mode reduction is investigated with this more complete model.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1993 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Finite Element Analysis of Solids and Structures

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Publisher : John Wiley & Sons
ISBN 13 : 1118376013
Total Pages : 481 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Nonlinear Finite Element Analysis of Solids and Structures by : René de Borst

Download or read book Nonlinear Finite Element Analysis of Solids and Structures written by René de Borst and published by John Wiley & Sons. This book was released on 2012-07-25 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist René de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature. Key features: Combines the two previous volumes into one heavily revised text with obsolete material removed, an improved layout and updated references and notations Extensive new material on more recent developments in computational mechanics Easily readable, engineering oriented, with no more details in the main text than necessary to understand the concepts. Pseudo-code throughout makes the link between theory and algorithms, and the actual implementation. Accompanied by a website (www.wiley.com/go/deborst) with a Python code, based on the pseudo-code within the book and suitable for solving small-size problems. Non-linear Finite Element Analysis of Solids and Structures, 2nd Edition is an essential reference for practising engineers and researchers that can also be used as a text for undergraduate and graduate students within computational mechanics.

Cornell University Courses of Study

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Publisher :
ISBN 13 :
Total Pages : 662 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Cornell University Courses of Study by : Cornell University

Download or read book Cornell University Courses of Study written by Cornell University and published by . This book was released on 2000 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

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Publisher :
ISBN 13 :
Total Pages : 1180 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1987 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International Aerospace Abstracts

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ISBN 13 :
Total Pages : 974 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1999 with total page 974 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1987 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechanical Engineering

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Publisher :
ISBN 13 :
Total Pages : 794 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Mechanical Engineering by :

Download or read book Mechanical Engineering written by and published by . This book was released on 1975-07 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Random Vibrations

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Publisher : Courier Corporation
ISBN 13 : 0486450155
Total Pages : 465 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Random Vibrations by : Paul H. Wirsching

Download or read book Random Vibrations written by Paul H. Wirsching and published by Courier Corporation. This book was released on 2006-01-01 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most comprehensive text and reference available on the study of random vibrations, this book was designed for graduate students and mechanical, structural, and aerospace engineers. In addition to coverage of background topics in probability, statistics, and random processes, it develops methods for analyzing and controlling random vibrations. 1995 edition.

Nonlinear Structural Dynamics and Damping

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Publisher : Springer
ISBN 13 : 3030133176
Total Pages : 324 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Nonlinear Structural Dynamics and Damping by : Juan Carlos Jauregui

Download or read book Nonlinear Structural Dynamics and Damping written by Juan Carlos Jauregui and published by Springer. This book was released on 2019-03-14 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles recent research in the field of nonlinear dynamics, vibrations and damping applied to engineering structures. It addresses the modeling of nonlinear vibrations in beams, frames and complex mechanical systems, as well as the modeling of damping systems and viscoelastic materials applied to structural dynamics. The book includes several chapters related to solution techniques and signal analysis techniques. Last but not least, it deals with the identification of nonlinear responses applied to condition monitoring systems.

Government reports annual index

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ISBN 13 :
Total Pages : 1362 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Government reports annual index by :

Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1362 pages. Available in PDF, EPUB and Kindle. Book excerpt: