Miles' Equation in Random Vibrations, 1st ed. 2018
Theory and Applications in Spacecraft Structures Design
Solid Mechanics and Its Applications Series, Vol. 248

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.

1 Introduction.- 2 Miles’ Equation.- 3 Static equivalent of Miles’ Equation.- 4 Random Vibration Load Factors.- 5 Notching & Mass Participation.- 6 Acoustic and Random Vibration Test Tailoring.- 7 Preliminary Predictions of Loads Induced by Acoustic Environment.- 8 Dynamic Response of Shell Structures to Random Acoustic Excitation, SDOF approximation.- 9 Equivalence Random and Sinusoidal Vibration.- 10 Characterisation and Synthesis of Random Acceleration Vibration Specifications.- 11 Example problems.- A Random Response SDOF System.- B Quasi-Static, Random and Acoustic Loads.- C Simulation of the Random Time Series.- D Computation of SRS.- E Application Rayleigh Quotient.- F Random Fatigue Estimation.- G John Wilder Miles (1920-2008).