Applied cartesian tensors for aerospace simulations
著者
書誌事項
Applied cartesian tensors for aerospace simulations
（AIAA education series）
American Institute of Aeronautics and Astronautics, c2006
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注記
Includes bibliographical references (p. 205-208) and index
HTTP:URL=http://www.loc.gov/catdir/toc/ecip066/2006000085.html Information=Table of contents
内容説明・目次
内容説明
This book presents a new approach to aerospace flight vehicle equations of motion based on a unifying tensorbased formulation. Covering the fundamental concepts of the geometry of space, applied mechanics, and aerospace engineering analysis, the author builds on these flight mechanics essentials to describe the motion of aircraft and space vehicles. Concepts are amplified by the presentation of aerospace applications in use today and that are tied directly to the material presented. The basic concepts of Cartesian analysis are developed along with the application of tensor notation to engineering analysis. Tensor notation (the Einstein summation convention) is introduced to give the reader exact component equations and to demonstrate its value in multi-variable analysis. By applying the summation notation in the analysis, the author believes that a more complete description of the dynamic problems of aerospace vehicle motion can be offered, and that this approach is already finding applications in aerospace engineering technologies.
目次
- Geometric Concepts in the Absence of Mass and Gravitation
- * The Position Transformation
- * Properties of the Transformation Matrix
- * Euler Angles and the Transformation Matrix
- * Euler's Theorem and the Four Parameter Methods
- * Differentiation of the Transformation Matrix
- * Transformation Equations for Velocity and Acceleration
- * The Motion of a Point Mass in Gravitational Space
- * Point Mass - Mathematical Descriptions
- * The Point Mass and Gravitation
- * Point Mass Motion Relative to Earth-Based Coordinates
- * Point Mass Motion Relative to Space-Based Coordinates
- * N-Body Gravitational Space and Rigid Body Motion
- * N-Body Mass Systems - Mathematical Descriptions
- * Rigid Body Dynamics
- * Flight Vehicle Motion
- * Modeling Gravitational Environments for Aerospace Vehicles
- * Forces and Moments on the Flight Vehicle
- * Flight Vehicle Motion Simulations
- * Space Vehicle Motion Using Mean Orbital Elements
- * Appendices
- * Bibliography
- * Index.
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