Dynamics and Simulation of Flexible Rockets

Dynamics and Simulation of Flexible Rockets provides a full state, multiaxis treatment of launch vehicle flight mechanics and provides the state equations in a format that can be readily coded into a simulation environment. Various forms of the mass matrix for the vehicle dynamics are presented. The book also discusses important forms of coupling, such as between the nozzle motions and the flexible body. This book is designed to help practicing aerospace engineers create simulations that can accurately verify that a space launch vehicle will successfully perform its mission. Much of the open literature on rocket dynamics is based on analysis techniques developed during the Apollo program of the 1960s. Since that time, large-scale computational analysis techniques and improved methods for generating Finite Element Models (FEMs) have been developed. The art of the problem is to combine the FEM with dynamic models of separate elements such as sloshing fuel and moveable engine nozzles. The pitfalls that may occur when making this marriage are examined in detail. Covers everything the dynamics and control engineer needs to analyze or improve the design of flexible launch vehicles Provides derivations using Lagrange’s equation and Newton/Euler approaches, allowing the reader to assess the importance of nonlinear terms Details the development of linear models and introduces frequency-domain stability analysis techniques Presents practical methods for transitioning between finite element models, incorporating actuator dynamics, and developing a preliminary flight control design

Arun K. Banerjee is one of the foremost experts in the world on the subject of flexible multibody dynamics. This book describes how to build mathermatical models of multibody systems with elastic components. Examples of such systems include the human body itself, construction cranes, cares with trailers, helicopers, spacecraft deploying antennas, tethered satellites, and underwater maneuvering vehicles. This book provides methods of analysis of complex mechanical systems that can be simulated in less computer time than other methods. It equips the reader with knowledge of algorithms that provide accurate results in reduced simulation time.

Volume is indexed by Thomson Reuters CPCI-S (WoS). The collection includes selected peer-reviewed papers from the 2012 International conference on Mechanics , Dynamic Systems and Material Engineering (MDSME2012) held November 24-25, 2012 in Guangzhou, China. The 70 papers are grouped into the following chapters: Chapter 1: Research on Mechanics and Dynamics of Systems in Mechanical Engineering, Chapter 2: Research on Material Engineering and Material Applications.

As launch vehicle designs become more slender, the effects of bending vibration on control system stability could be dominant in control systems designed using rigid-body dynamics. Vibrational loads can also cause major damage to the launch vehicle, either in the form of vibrational fatigue or excitation of the structures resonant frequencies. This work investigates a novel method to control vibrations in real time using a real time control target with distributed strain measurements from FBG sensor arrays. Active control of the flexible structure will reduce vibration, which will decrease the chance of damaging the structure. A scaled test article representative of the structural dynamics associated with a slender launch vehicle is designed and built. Finite element analysis modeling methodology is developed to capture the most significant features of test specimen. A model for the entire test article is developed, including frequency response of the cantilever beam, thruster dynamics, and sensor conversion matrices. This research develops, models and provides experimental validation of the use of an array of cold gas thrusters for the real time control of the bending dynamics of a test article. Three separate control algorithms are developed to minimize vibration in the test article, using the FBG strain measurements to calculate required thrust. A classical control algorithm for benchmark purposes, a robust control algorithm and an adaptive control algorithm are implemented. The controller performance is investigated by simulation using the developed model, and these results are experimentally verified using the experimental setup. The performance comparison shows that classic controller is hard to implement experimentally due to decoupling issues, the robust controller achieves good vibration suppression in both simulations and experimental results, and the adaptive controller shows good results, with a potential to surpass the robust controller results in future research. Using the robust controller to control the continuous excited first and second resonant mode of the test setup, shows 94% and 80% reduction of peak-peak vibration respectively, when compared to the open loop response. This research also investigates using the same FBG sensor arrays to reduce the number of IMU sensing units in the launch vehicle.

TRANSFER MATRIX METHOD FOR MULTIBODY SYSTEMS: THEORY AND APPLICATIONS Xiaoting Rui, Guoping Wang and Jianshu Zhang - Nanjing University of Science and Technology, China Featuring a new method of multibody system dynamics, this book introduces the transfer matrix method systematically for the first time. First developed by the lead author and his research team, this method has found numerous engineering and technological applications. Readers are first introduced to fundamental concepts like the body dynamics equation, augmented operator and augmented eigenvector before going in depth into precision analysis and computations of eigenvalue problems as well as dynamic responses. The book also covers a combination of mixed methods and practical applications in multiple rocket launch systems, self-propelled artillery as well as launch dynamics of on-ship weaponry. • Comprehensively introduces a new method of analyzing multibody dynamics for engineers • Provides a logical development of the transfer matrix method as applied to the dynamics of multibody systems that consist of interconnected bodies • Features varied applications in weaponry, aeronautics, astronautics, vehicles and robotics Written by an internationally renowned author and research team with many years' experience in multibody systems Transfer Matrix Method of Multibody System and Its Applications is an advanced level text for researchers and engineers in mechanical system dynamics. It is a comprehensive reference for advanced students and researchers in the related fields of aerospace, vehicle, robotics and weaponry engineering.

This book offers a unified presentation that does not discriminate between atmospheric and space flight. It demonstrates that the two disciplines have evolved from the same set of physical principles and introduces a broad range of critical concepts in an accessible, yet mathematically rigorous presentation. The book presents many MATLAB and Simulink-based numerical examples and real-world simulations. Replete with illustrations, end-of-chapter exercises, and selected solutions, the work is primarily useful as a textbook for advanced undergraduate and beginning graduate-level students.

This book offers a unified presentation that does not discriminate between atmospheric and space flight. It demonstrates that the two disciplines have evolved from the same set of physical principles and introduces a broad range of critical concepts in an accessible, yet mathematically rigorous presentation. The book presents many MATLAB and Simulink-based numerical examples and real-world simulations. Replete with illustrations, end-of-chapter exercises, and selected solutions, the work is primarily useful as a textbook for advanced undergraduate and beginning graduate-level students.

The objective of this book is to provide those interested in thefield of flexible robotics with an overview of several scientificand technological advances in the practical field of roboticmanipulation. The different chapters examine various stages thatinvolve a number of robotic devices, particularly those designedfor manipulation tasks characterized by mechanical flexibility.Chapter 1 deals with the general context surrounding the design offunctionally integrated microgripping systems. Chapter 2 focuses onthe dual notations of modal commandability and observability, whichplay a significant role in the control authority of vibratory modesthat are significant for control issues. Chapter 3 presentsdifferent modeling tools that allow the simultaneous use of energyand system structuring notations. Chapter 4 discusses twosensorless methods that could be used for manipulation in confinedor congested environments. Chapter 5 analyzes several appropriateapproaches for responding to the specific needs required byversatile prehension tasks and dexterous manipulation. After aclassification of compliant tactile sensors focusing on dexterousmanipulation, Chapter 6 discusses the development of a complyingtriaxial force sensor based on piezoresistive technology. Chapter 7deals with the constraints imposed by submicrometric precision inrobotic manipulation. Chapter 8 presents the essential stages ofthe modeling, identification and analysis of control laws in thecontext of serial manipulator robots with flexible articulations.Chapter 9 provides an overview of models for deformable bodymanipulators. Finally, Chapter 10 presents a set of contributionsthat have been made with regard to the development of methodologiesfor identification and control of flexible manipulators based onexperimental data. Contents 1. Design of Integrated Flexible Structures forMicromanipulation, Mathieu Grossard, Mehdi Boukallel, StéphaneRégnier and Nicolas Chaillet. 2. Flexible Structures’ Representation and Notable Propertiesin Control, Mathieu Grossard, Arnaud Hubert, StéphaneRégnier and Nicolas Chaillet. 3. Structured Energy Approach for the Modeling of FlexibleStructures, Nandish R. Calchand, Arnaud Hubert, Yann Le Gorrec andHector Ramirez Estay. 4. Open-Loop Control Approaches to Compliant Micromanipulators,Yassine Haddab, Vincent Chalvet and Micky Rakotondrabe. 5. Mechanical Flexibility and the Design of Versatile and DexterousGrippers, Javier Martin Amezaga and Mathieu Grossard. 6. Flexible Tactile Sensors for Multidigital Dexterous In-handManipulation, Mehdi Boukallel, Hanna Yousef, Christelle Godin andCaroline Coutier. 7. Flexures for High-Precision Manipulation Robots, Reymond Clavel,Simon Henein and Murielle Richard. 8. Modeling and Motion Control of Serial Robots with FlexibleJoints, Maria Makarov and Mathieu Grossard. 9. Dynamic Modeling of Deformable Manipulators, FrédéricBoyer and Ayman Belkhiri. 10. Robust Control of Robotic Manipulators with StructuralFlexibilities, Houssem Halalchi, Loïc Cuvillon, GuillaumeMercère and Edouard Laroche. About the Authors Mathieu Grossard, CEA LIST, Gif-sur-Yvette, France. Nicolas Chaillet, FEMTO-ST, Besançon, France. Stéphane Régnier, ISIR, UPMC, Paris, France.

Arun K. Banerjee is one of the foremost experts in the world on the subject of flexible multibody dynamics. This book describes how to build mathermatical models of multibody systems with elastic components. Examples of such systems include the human body itself, construction cranes, cares with trailers, helicopers, spacecraft deploying antennas, tethered satellites, and underwater maneuvering vehicles. This book provides methods of analysis of complex mechanical systems that can be simulated in less computer time than other methods. It equips the reader with knowledge of algorithms that provide accurate results in reduced simulation time.

"The primary purpose of this book is to develop methods for the dynamic analysis of multibody systems (MBS) that consist of interconnected rigid and deformable components. In that sense, the objective may be considered as a generalization of methods of structural and rigid body analysis. Many mechanical and structural systems such as vehicles, space structures, robotics, mechanisms, and aircraft consist of interconnected components that undergo large translational and rotational displacements. Figure 1.1 shows examples of such systems that can be modeled as multibody systems. In general, a multibody system is defined to be a collection of subsystems called bodies, components, or substructures. The motion of the subsystems is kinematically constrained because of different types of joints, and each subsystem or component may undergo large translations and rotational displacements"--

This textbook – a result of the author’s many years of research and teaching – brings together diverse concepts of the versatile tool of multibody dynamics, combining the efforts of many researchers in the field of mechanics.

This book deals with the problem of dynamics of bodies with time-variable mass and moment of inertia. Mass addition and mass separation from the body are treated. Both aspects of mass variation, continual and discontinual, are considered. Dynamic properties of the body are obtained applying principles of classical dynamics and also analytical mechanics. Advantages and disadvantages of both approaches are discussed. Dynamics of constant body is adopted, and the characteristics of the mass variation of the body is included. Special attention is given to the influence of the reactive force and the reactive torque. The vibration of the body with variable mass is presented. One and two degrees of freedom oscillators with variable mass are discussed. Rotors and the Van der Pol oscillator with variable mass are displayed. The chaotic motion of bodies with variable mass is discussed too. To support learning, some solved practical problems are included.