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

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

This volume explains the dramatic effect of cross-correlations in forming the structural response of aircraft in turbulent excitation, ships in rough seas, cars on irregular roads, and other dynamic regimes. It brings into sharp focus the dramatic effect of cross correlations often neglected due to...

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Bibliographic Details
Main Author: Elishakoff, Isaac
Format: eBook
Language:English
Published: Cham : Springer, 2020.
Subjects:
Random vibration.
Mechanics, Applied.
Vibration.
Dynamics.
Mechanics.
Aerospace engineering.
vibration (physical)
kinetics (dynamics)
mechanics (physics)
aeronautical engineering.
aerospace engineering.
Mechanics of solids.
Aerospace & aviation technology.
Automotive technology & trades.
Classical mechanics.
Dynamics & vibration.
Science > Mechanics > Solids.
Technology & Engineering > Aeronautics & Astronautics.
Technology & Engineering > Automotive.
Science > Mechanics > General.
Technology & Engineering > Mechanical.
Mechanics, Applied
Random vibration
Online Access:Click for online access
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

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