Modeling and Simulation of Aerospace Vehicle Dynamics

Abstract

Part 1 Modeling of Flight Dynamics Chapter 2. Mathematical Concepts in Modeling 17 2.1 Classical Mechanics 17 2.2 Tensor Elements 23 2.3 Modeling of Geometry 39 2.4 Summary 49 References 49 Problems 50

Surface-to-air missile path planning using genetic and PSO algorithms

“…In missiles, all X b and Y b directions are the main axes due to rotational symmetry, so geometrical signs are used to locate unit vectors. As one can see, the origin of coordinates is on the boost point of the ground, the axis x is in the boost direction, the axis z is perpendicular to the ground (towards the ground), and the axis y makes the coordinate (Zipfel, 2007), see Fig. 4.…”

“…One of the subjects in each simulation is the selection and conversion of coordinates. In many parts of the simulation, we need to convert coordinates of the parameters so that we can use their values in other coordinates (Zipfel, 2007). Body coordinates (Fig.…”

Methods of aircraft trajectory optimisation in air combat

“…All the aerodynamic and the propulsion forces are fed into the Newton's second law given by Eq. 2 from Zipfel [12]:…”

“…Newton's second law, aerodynamic and performance data are used for the simulation. The Cartesian approach was used to simulate the aircraft's states [12]. The state variables are the vehicle's inertial acceleration, velocity and inertial positions.…”

Análise, desenvolvimento e controle de uma plataforma de movimentos com 6 graus de liberdade

“…A cinemática inversa utiliza a posição e atitude da plataforma móvel com relação à plataforma fixa para obter os comprimentos dos atuadores e pode ser equacionada utilizando modelagem tensorial (ZIPFEL, 2000) ou modelagem baseada na álgebra vetorial (NGUYEN et al, 1993). A modelagem utilizada neste trabalho será por álgebra vetorial.…”