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Dramatic effect of cross-correlations in random vibrations of discrete systems, beams, plates, and shells /

Bibliographic Details
Main Author: Elishakoff, Isaac
Corporate Author: ProQuest (Firm)
Format: eBook
Language:English
Published: Cham : Springer, 2020.
Subjects:
Random vibration.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Intro
  • Preface
  • References
  • Contents
  • 1 Normal-Mode Approach in Random Vibrations
  • 1.1 Introductory Comments
  • 1.2 Analysis of a Two-Degree-of-Freedom System with Coinciding Natural Frequencies
  • 1.3 Simple Model Illustrating Crandall's Random Vibration Results
  • 1.4 Theoretical Analysis
  • 1.5 One Particular Case: f2 = f3 = 0 with Probability One
  • 1.6 f1(t) = f3(t) = 0 with Probability One
  • References
  • 2 Random Vibration of System with Finitely Many Degrees of Freedom and Several Coalescent Natural Frequencies
  • 2.1 Introductory Comments
  • 2.2 Analysis of a Multi-Degree-of-Freedom System with Many Coinciding Frequencies
  • 2.3 System with Two Degrees of Freedom
  • 2.4 Systems with Three and More Degrees of Freedom
  • References
  • 3 Random Vibration of a Vehicle Model
  • 3.1 Introductory Comments
  • 3.2 Analysis of the Friswell Model
  • 3.3 Kim and Yoon's Four-Wheel Vehicle Model
  • 3.4 Conclusion
  • References
  • 4 Hybrid Optimization and Anti-optimization of a Stochastically Excited Beam
  • 4.1 Introductory Comments
  • 4.2 Basic Equations
  • 4.3 Evaluation of the Mode Shapes
  • 4.4 Anti-symmetric Mode Shapes
  • 4.5 Limiting Cases
  • 4.6 Random Vibrations
  • 4.7 Symmetric Excitation
  • 4.8 Anti-symmetric Excitation
  • 4.9 General Case: Non-symmetric Random Excitation
  • 4.10 Point-Driven Excitation
  • 4.11 Conclusion
  • References
  • 5 Random Vibration of a Point-Driven Two-Span Beam on an Elastic Foundation
  • 5.1 Introductory Comments
  • 5.2 Random Vibrations of a Two-Span Beam Without Elastic Foundation
  • 5.3 Formulation of the Problem
  • 5.4 Natural Frequencies and Modes of the Two-Span Beam
  • 5.5 Random Vibration Response
  • 5.6 Numerical Results and Discussion
  • 5.7 Conclusion
  • References
  • 6 Random Vibrations of Orthotropic Plates
  • 6.1 Introductory Comments
  • 6.2 Analytical Formulation
  • 6.3 Random Vibrations of Plates with Opposite Edges Simply Supported
  • 6.4 Conclusion
  • References
  • 7 Wide-Band Random Axisymmetric Vibration of Cylindrical Shells
  • 7.1 Introductory Comments
  • 7.2 Random Vibration of a Thin Cylindrical Shell
  • 7.3 Description of the Calculations
  • 7.4 Discussion of the Results
  • References
  • 8 Turbulent Flow-Excited Vibrations of a Shallow Cylindrical Shell
  • 8.1 Introductory Comments
  • 8.2 Analytical Formulation
  • 8.3 Excitation Cross-Spectral Densities
  • 8.4 Shell Response Characteristics
  • 8.5 Random Vibrations in Cylindrical Shells Containing an Acoustic Medium
  • 8.6 Conclusion
  • References
  • 9 On the Role of Cross-Correlations in the Random Vibrations of Spherical Shells
  • 9.1 Introductory Comments
  • 9.2 Response Cross-Spectral Densities of a Spherical Shell
  • 9.3 Hysteretic Damping
  • 9.4 Example Problem and Discussion
  • 9.5 Conclusion
  • References
  • 10 Dramatic Effect of Cross-Correlations in Random Vibration of Point-Driven Flat Plate and Spherically Curved Panel