Some Engineering Applications in Random Vibrations and Random Structures.

Cover -- Title -- Copyright -- Foreword -- Table of Contents -- Preface -- Chapter 1 Deterministic Single-Degree-of-Freedom System -- I. SDOF System Subjected to External Harmonic Excitation -- II. SDOF System Subjected to Base Excitation -- III. Response of an SDOF System to General Force -- IV. Stresses in an SDOF System -- V. Summary -- Chapter 2 Deterministic Multiple-Degree-of-Freedom System -- I. Differential Equations and Normal Modes of an MDOF System -- II. Generalized Masses, Dampings, Rigidities, and Forces -- III. Uncoupled Differential Equations -- IV. Summary -- Chapter 3 Deterministic Continuous System -- I. Introduction -- II. Differential Equations of Continuous System -- III. Base Excitation -- IV. Stress Response -- V. Summary -- Chapter 4 Random Functions and Excitation -- I. Basic Concepts of Random Functions -- II. Practical Characterization of Random Excitation -- III. Important Excitation Functions -- IV. Boundary-Layer Excitation Model -- V. Summary -- Chapter 5 Response of Linear Systems to Stationary Random Excitations -- I. Response of a Linear SDOF System -- II. Response of a Linear MDOF System -- III. Response of a Linear Structure to Stationary Random Excitations -- IV. Summary -- Chapter 6 Nonlinear Single-Degree-of-Freedom and Multiple-Degree-of-Freedom Systems -- I. Introduction -- II. Nonlinear Behavior of an SDOF Oscillator -- III. Nonlinear Coefficients of a Structure -- IV. Summary -- Chapter 7 Statistical Linearization Method -- I. Statistical Linearization Method for an MDOF System -- II. Nonlinear Response of an SDOF System to Random Gaussian Force -- III. Nonlinear Random Response of Two-DOF System to Random Gaussian Force -- IV. Nonlinear Random Response of an Elastic System -- V. Computational Procedure -- VI. Calculation of Stress Response -- VII. Summary.

Chapter 8 Nondeterministic Structures: Basic Concepts -- I. Introduction -- II. Failure Surface: Basic Case -- III. Reliability Index -- IV. Summary -- Chapter 9 Calculation of the Probability of Failure -- I. Introduction -- II. Lagrange Multiplier Method -- III. Demonstration of the Iterative Process -- IV. Numerical Programs for Probabilistic Structural Analysis -- V. Summary -- Chapter 10 Taylor Series Expansion of the Failure Surface -- I. Introduction -- II. Taylor Series Expansion -- III. Selection of the Evaluation Point -- IV. Detailed Examples of the Taylor Series Expansion Method -- V. Summary -- Chapter 11 Direct Calculation of the Probability of Failure Using an Existing Finite Element Program -- I. Introduction -- II. MJPDF Method -- III. Numerical Examples -- IV. Summary -- Chapter 12 Probability of Failure of Dynamic Systems -- I. Introduction -- II. Statistical Behavior of a Stationary Gaussian Process -- III. Spectral Moments of a Determinstic MDOF System -- IV. Probability of Threshold Crossing (Failure) -- V. Summary -- Chapter 13 Stochastic Crack Growth Models -- I. Introduction -- II. Stochastic Crack Growth Models -- III. Crack Length Distribution -- IV. Failure Criterion -- V. Probability of Failure Calculation -- VI. Required Information for the Analysis -- VII. Summary -- Chapter 14 Concluding Remarks -- Appendix A: Some Important Integrals -- I. Constant Value PSD Functions -- II. Filtered One-Sided White Noise -- Appendix B: Conversion Between Acoustic Decibels and PSD -- Appendix C: Finite Element Input Files for MJDPF Method -- I. File for Example 1 -- II. File for Example 2 -- III. File for Example 3 -- IV. File for Example 4 -- V. File for Example 5 -- VI. File for Example 6 -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- P -- R -- S -- T -- U -- V -- W -- Y.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.