Title Miles' equation in random vibrations : theory and applications in spacecraft structures design / Jaap Wijker

Published Cham : Springer, [2018]

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Description 1 online resource (XIX, 219 pages) : 117 illustrations, 53 illustrations in color Series Solid Mechanics and Its Applications, 0925-0042 ; 248 Solid mechanics and its applications ; 248. 0925-0042 Contents Intro; Foreword; Preface; Acknowledgements; Contents; Acronyms; 1 Introduction; References; 2 Miles' Equation; 2.1 Introduction; 2.2 SDOF System, Enforced Acceleration; 2.2.1 Further Approximation of Miles' Equation; 2.3 Force-Loaded SDOF System; 2.4 Chapter Summary; References; 3 Static Equivalent of Miles' Equation; 3.1 Introduction; 3.2 Equivalent Static Acceleration Field; 3.3 Fixed-Free Beam; 3.4 Equivalent Static Force Field; 3.5 Equivalent Static Finite Element Analysis; 3.6 Chapter Summary; References; 4 Random Vibration Load Factors; 4.1 Introduction; 4.2 Three-Sigma Design Approach 4.3 Random Vibration Load Factors4.4 Mass Participation Approach; 4.5 Chapter Summary; References; 5 Notching and Mass Participation; 5.1 Chapter Summary; References; 6 Acoustic and Random Vibration Test Tailoring; 6.1 Introduction; 6.2 Base-Excited SDOF System; 6.3 Pressure-Loaded SDOF System; 6.4 Synthesis; 6.5 Chapter Summary; References; 7 Preliminary Predictions of Loads Induced by Acoustic Environment; 7.1 Introduction; 7.2 Analysis Procedure; 7.3 Evaluation of Shape Factor; 7.4 Spann's Component Predictor; 7.5 Chapter Summary; References 8 Dynamic Response of Shell Structures to Random Acoustic Excitation, SDOF Approximation8.1 Introduction; 8.2 SDOF Approximation; 8.2.1 Case 1, Ï#x88;(x)=1; 8.2.2 Case 2, Ï#x88;(x)=Ï#x86;n(x); 8.2.3 Case 3, Ï#x88;(x) neqÏ#x86;n(x); 8.3 Chapter Summary; References; 9 Equivalence Random and Sinusoidal Vibration; 9.1 Introduction; 9.2 Sinusoidal-Random Equivalence of Responses; 9.3 Chapter Summary; References; 10 Characterisation and Synthesis of Random Acceleration Vibration Specifications; 10.1 Introduction; 10.2 Previous Work; 10.3 Random Vibration Spectra; 10.3.1 Shock Response Spectrum (SRS) 10.3.2 Vibration Response Spectrum (VRS)10.3.3 Extreme (Peak) Response Spectrum (ERS); 10.3.4 Fatigue Damage Spectrum (FDS); 10.3.5 Pseudo-stationary Random Vibration, Damage Potential; 10.4 Synthesis of Equivalent Random Acceleration Vibration Specification; 10.5 Application; 10.5.1 Random Vibration Measurement During a Acoustic Test; 10.5.2 Synthesis of Random Acceleration Vibration Specification from SRS and ERS; 10.5.3 Synthesis of Random Acceleration Vibration Specification from FDSd; 10.5.4 Synthesis of Random Acceleration Vibration Specification from FDSpv 10.5.5 Synthesis of Equivalent Random Acceleration Vibration Specification Based on Rayleigh Distribution of Peaks10.5.6 All Equivalent Random Acceleration Vibration Specifications in One Plot; 10.5.7 Influence Number of Fields Nfield; 10.6 Chapter Summary; References; 11 Example Problems; 11.1 Introduction; References; Appendix A Random Response SDOF System; Appendix B Quasi-static, Random, and Acoustic Loads; B.1 Introduction; B.2 Quasi-static Load Specifications; B.3 Acoustic and Random Load Specification; B.3.1 Introduction; B.3.2 Acoustic Loads; B.3.2.1 Reverberant Sound Field Summary This book discusses the theory, applicability and numerous examples of Miles' equation in detail. Random vibration is one of the main design drivers in the context of the design, development and verification of spacecraft structures, instruments, equipment, etc, and Miles' equation provides a valuable tool for solving random vibration problems. It allows mechanical engineers to make rapid preliminary random response predictions when the (complex) structure is exposed to mechanical and acoustical loads. The book includes appendices to support the theory and applications in the main chapters Bibliography Includes bibliographical references and index Subject Random vibration. Space vehicles -- Design and construction. Dynamics & vibration. Classical mechanics. Aerospace & aviation technology. TECHNOLOGY & ENGINEERING -- Engineering (General) Space vehicles -- Design and construction Random vibration Aerospace engineering Astronautics Dynamics Engineering Vibration Form Electronic book ISBN 9783319731148 3319731149

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