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The Resource Probabilistic and convex modelling of acoustically excited structures, I. Elishakoff, Y.K. Lin, L.P. Zhu

Probabilistic and convex modelling of acoustically excited structures, I. Elishakoff, Y.K. Lin, L.P. Zhu

Label
Probabilistic and convex modelling of acoustically excited structures
Title
Probabilistic and convex modelling of acoustically excited structures
Statement of responsibility
I. Elishakoff, Y.K. Lin, L.P. Zhu
Creator
Contributor
Subject
Language
eng
Summary
This book summarises the analytical techniques for predicting the response of linear structures to noise excitations generated by large propulsion power plants. Emphasis is placed on beams and plates of both single-span and multi-span configurations, common in engineering structural systems. Since the natural frequencies and the associated normal modes play a central role in the random vibration analysis of a continuous dynamical system, rather detailed discussions are devoted to their determination. Material covered in the first chapter provides a useful reference for the subsequent discussion of multi-span structures. Also included in this volume is a hybrid probabilistic and convex-uncertainty modeling approach in which the upper and lower bounds of the cross-spectral densities of the acoustic excitation are obtained on the basis of measured data. The random vibration of a structure is treated, for the first time, as an "anti-optimization" problem of finding the least favourable value of the mean-square response
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Cataloging source
OPELS
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Studies in applied mechanics
Series volume
39
Probabilistic and convex modelling of acoustically excited structures, I. Elishakoff, Y.K. Lin, L.P. Zhu
Label
Probabilistic and convex modelling of acoustically excited structures, I. Elishakoff, Y.K. Lin, L.P. Zhu
Link
http://libproxy.rpi.edu/login?url=http://www.sciencedirect.com/science/bookseries/09225382/39
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Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 264-279) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Front Cover; Probabilistic and Convex Modelling of Acoustically Excited Structures; Copyright Page; Preface; Table of Contents; Chapter 1. Free Vibration of Single-Span Beams; 1.1 Basic Equations and Method of Solution; 1.2 Boundary Conditions; 1.3 Determination of Natural Frequencies and Mode Shapes; Chapter 2. Free Vibration of Multi-Span Periodic Beams; 2.1 Introduction; 2.2 Two-Span Beams; 2.3 Multi-Span Beams on Rigid Supports; 2.4 Multi-Span Beams with Additional Rotational Spring at Each Support; 2.5 Orthogonality Conditions; Chapter 3. Free Vibration of Rectangular Plates
  • 3.1 Single-Span Plates with Classical Boundary Conditions3.2 Single-Span Plates with Mixed Classical and Elastic Supports; 3.3 Multi-Span Plates on Rigid Supports; Chapter 4. Bolotin's Method of Dynamic Edge Effect and Its Generalization; 4.1 Free Vibration of Uniform Beams; 4.2 Free Vibration of Uniform Isotropic Plates; 4.3 Generalization of Bolotin's Dynamic Edge-Effect Method; 4.4 Some Numerical Results for Orthotopic Plates; 4.5 Free Vibration of All-Round Edge-Stiffened Plates; 4.6 Free Vibration of Multi-Span Stiffened Plates; Chapter 5. Random Vibration of Structures
  • 5.1 Correlation and Spectral Analysis5.2 Random Vibration of Linear Discrete Systems; 5.3 Random Vibration of Linear Continuous Structures; Chapter 6. Response of Beam-Like Structures to Near-Field Acoustic Environment; 6.1 Preliminary Considerations; 6.2 Acoustic Environment Prediction; 6.3 Response of Beam-Type Structures to Launch Site Acoustic Field; 6.4 Numerical Examples; 6.5 Wave-Number Response of Multi-Span Beams; 6.6 Effects of Boundary Conditions; 6.7 Simplified Acoustic Loading Model; 6.8 Cross-Spectral Density of the Response for Multi-Span Beams
  • Chapter 7. Random Vibration Analysis by Finite Element Method7.1 Introduction; 7.2 A Benchmark Example; 7.3 Vibration Analysis of Beams by the Finite Element Method; 7.4 Assembly of Global Matrices; 7.5 Deterministic Element Load Vectors; 7.6 Element Correlation Matrix; 7.7 Global Correlation Matrix; 7.8 Random Vibration Analysis; 7.9 Calculation of Element and Global Correlation Matrices for the Benchmark Problem; Chapter 8. A Combined Probabilistic and Convex-Theoretic Approach; 8.1 Single-Degree-of-Freedom System; 8.2 Uncertain Parameters Belonging to a Convex Set
http://library.link/vocab/cover_art
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unknown
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{'f': 'http://opac.lib.rpi.edu/record=b4171086'}
Extent
1 online resource (viii, 296 pages)
File format
unknown
Form of item
online
Isbn
9781483290355
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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