Equivalent Linearization Analysis of Geometrically Nonlinear Random Vibrations Using Commercial Finite Element Codes PDF Download
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Author: Stephen Anthony Rizzi
Publisher: DIANE Publishing
ISBN: 1428995439
Category : Finite element method
Languages : en
Pages : 39
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Book Description
Author: Stephen Anthony Rizzi
Publisher: DIANE Publishing
ISBN: 1428995439
Category : Finite element method
Languages : en
Pages : 39
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Book Description
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781720508106
Category :
Languages : en
Pages : 40
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Book Description
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
Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781723851346
Category : Science
Languages : en
Pages : 68
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Book Description
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. The Direct Matrix Abstraction Program (DMAP) implementation performs these operations within NASTRAN. Both provide nearly identical results. Within each implementation, two error minimization approaches for the equivalent linearization procedure are available - force and strain energy error minimization. Sample results for a simply supported rectangular plate are included to illustrate the analysis procedure.Rizzi, Stephen A. and Muravyov, Alexander A.Langley Research CenterLINEARIZATION; RANDOM VIBRATION; APPLICATIONS PROGRAMS (COMPUTERS); STIFFNESS; STRUCTURAL ANALYSIS; FORTRAN; NASTRAN; RECTANGULAR PLATES; FINITE ELEMENT METHOD
Author: Stephen A. Rizzi
Publisher: DIANE Publishing
ISBN:
Category : Random vibration
Languages : en
Pages : 74
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Book Description
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.
Author: Stephen A. Rizzi
Publisher: DIANE Publishing
ISBN: 142899582X
Category : Random vibration
Languages : en
Pages : 66
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Book Description
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.
Author: Giora Maymon
Publisher: AIAA
ISBN: 9781600864308
Category : Random vibration
Languages : en
Pages : 286
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Book Description
Annotation This text synthesizes a wealth of useful information for analyzing random vibrations and structures into one coherent body of knowledge. It takes a practical yet progressive look at two major fields related to random analysis: linear and geometrically nonlinear structures, and the behavior of random structures under random loads. System harmonics and oscillations, random functions, and the theory of random vibration are covered extensively throughout the text, which includes innovative methods for calculating the probability of failure for dynamic systems. Simplified examples demonstrate applications for daily use and present new approaches to failure analysis. The author evaluates the use of random process methods for the stochastic analysis of crack growth in detail, providing a better description of failures resulting from crack propagation. For young engineers, the book touches on finite element programs such as ANSYS and the probabilistic analysis program PROBAN, facilitating solutions to more complex problems. It also illustrates how to write a FORTRAN program to build a numerical procedure suitable for the design needs.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 556
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Book Description
Author: John Brian Roberts
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 430
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Book Description
Interest in the study of random vibration problems using the concepts of stochastic process theory has grown rapidly due to the need to design structures and machinery which can operate reliably when subjected to random loads, for example winds and earthquakes.
Author: Cornell University
Publisher:
ISBN:
Category : Universities and colleges
Languages : en
Pages : 662
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Book Description
![Linear and Non-linear Free Vibration Analysis of Axisymmetric Solids and Structures [microform] PDF](https://books.google.com/books/content/images/frontcover/QOr4vgEACAAJ?fife=w80-h100)
Author: Laxman Subramaniam
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612307438
Category : Finite element method
Languages : en
Pages : 228
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Book Description
This thesis is concerned with the linear and nonlinear dynamic analysis of axisymmetric solids using the Ritz method and the finite element method. The solids are geometrically nonlinear. The geometry of the solid is described by the cylindrical coordinate system. The strain displacement relationships are derived using three dimensional elasticity equations. The strain energy and kinetic energy expressions are given and the stiffness and the mass matrices are derived from the strain and the kinetic energy expressions respectively. The Ritz method is developed for nonlinear free vibration analysis of axisymmetric solids like circular disks, conical shells, cylindrical shells etc, in which the displacement components are expressed as simple algebraic polynomials. Eight node quadrilateral isoparameteric element is used in Finite Element method for the eigen value solution.
