Nonlinear Instability And Inertial Coupling Effects PDF Download

This book presents a new scientific discovery about the nonlinear instability and inertial coupling effects for aircrafts, land vehicles, and ships. It focuses on the dynamic instability and inertial couplings of the rotational motions of these vehicles and provides analytical solutions for the nonlinear governing equations without linearization. A nonlinear stability theorem is proven analytically, numerically, and experimentally. The threshold for the nonlinear instability is given. The book covers topics such as the fundamental mistakes in automotive, aviation, and naval architecture industries; energy flow patterns of aircrafts, ships, land vehicles, and rigid body torque-free motion; the nonlinear solution of vehicle dynamics; nonlinear instabilities and inertial coupling effects of ships, aircrafts, and land vehicles. It reveals the mechanism of broaching and capsizing of ships; a phase locked-in phenomenon for ships; Dutch roll, wing rock, Pilot-Induced-Oscillation, and upset of aircrafts including un-commanded roll, pitch, and yaw; and rollover of land vehicles. The unique feature of this book is to provide scientific analyses and explanations for the root causes for two aircraft incidents and 16 aircraft crashes based on their FDR data, for two Ro/Ro ship capsizes, two cruise ship capsizes. An inertial coupling factor is proposed to measure the effect of the inertial coupling. A dynamic stability factor is proposed to indicate how dynamically stable a vehicle is. This book provides evidences based on the analytical analyses, the numerical simulations, the physical experiments, and the highway fatality data to prove that the Anti-Brake System and Electronic Stability Control cause more rollovers and fatalities. The autopilot of aircrafts is proven to cause some nonlinear instabilities and crashes. Three recipes for aircraft crashes during takeoff, landing approach, and cruise leveling are given. A mechanical demonstrator is also given.