Motion and Simulation Training
- Contact Motion Genesis to schedule training or on-site seminar.
- Transportation and accommodations may be booked by either Motion Genesis or its client.
- Other courses, options, and textbooks are available.
- Please have estimates for the following:
- Event (e.g., professional training, instructor training, or academic seminar).
- Event type (e.g., basic/advanced motion simulation or control-system integration).
- Preferred schedule (several options are ideal).
- Desired number of software training licenses and/or textbooks.
- Estimated budget and number of attendees
Sample 1-5 day motion and simulation training course
Vector operations
- Notation: Syntactical form, constructors, RigidFrame, RigidBody.
- Addition, subtraction: Computation, uniform basis, mixed basis.
- Dot, cross Command syntax, functions for calculating angles, distances, area, volume, ...
- Ordinary time-derivative: Command syntax, need for a reference frame in computation.
- Partial derivative: Command syntax, possible need for a reference frame in computation.
Rotational kinematics
- Rotation matrix: Syntactical form, simple rotation matrix, successive rotations, matrix multiplication, command syntax, automated computation with syntactical forms.
- Angular velocity: Syntactical form, simple angular velocity, angular addition theorem, use with vector differentiation, command syntax, automated computation with syntactical forms.
- Angular acceleration: Syntactical form, definition, utility in formulas, command syntax, automated computation with syntactical forms.
- Rotational Odes: Euler angles, Euler parameters, Rodrigues parameters, Poisson parameters.
Translational kinematics
- Position vector: Syntactical form, command syntax, automatic computation.
- Velocity: Syntactical form, formulas for forming velocity, computation.
- Acceleration: Syntactical form, formulas for forming acceleration, command syntax, automated computation with syntactical forms.
Mass distribution
- Mass: Assigning mass of particles and bodies. Summing mass of particles, bodies, and systems.
- Mass center: Syntax for body's center of mass. Calculating position, velocity, and acceleration of system mass centers.
- Inertia properties: Assigning rigid body's via inertia dyadics, matrices, moments, and products. Calculating system inertia properties (dyadics, matrices, moments, products, and radii of gyration).
Force, torque, moment, power, work, and energy
- Force: Syntactical form. Command syntax for adding forces to points. Command syntax for summing forces on points, particles, bodies, frames, and systems. Force models for gravity (local/universal), electrostatics, springs, dampers, etc.
- Torque: Syntactical form. Command syntax for adding torque to reference frames. Torque models for viscous dampers, etc.
- Moment: Command syntax for summing moments of forces on points, particles, bodies, frames, and systems about a designated point.
- Power/work: Calculating system power and work done by dissipative forces.
- Energy: Commands for kinetic/potential energy and energy checking functions.
Statics and dynamics
- Translation: Command syntax for statics or dynamics using forces or Newton's equations for points, particles, bodies, frames, and systems.
- Rotation: Command syntax for statics or dynamics using moments or Euler's equations (angular momentum principle) for points, particles, bodies, frames, and systems.
- System: Command syntax for statics or dynamics of systems using generalized methods, e.g., Kane and Lagrange.
Simulation and code generation (MATLAB®, C, Fortran, ...)
- Linear algebraic equations: Solve, Input, Output, Units, and UnitSystem.
- Nonlinear algebraic equations: Solve, initial guesses and convergence.
- Nonlinear differential equations: Integration step, error tolerances, checking functions, graphing.
Topics for 3+ day courses
Constraints
- Augmented method: Augmenting constraints to equations of motion. Initial configuration and motion problems.
- Embedded method: Determination of independent and dependent variables.
- Mixed methods: Constrained systems with augmented and embedded constraints.
Efficiency
- Configuration variables: Generating efficient simulation and control-systems codes.
- Motion variables: Choice of angular velocity variables, generalized speeds, and independent/dependent subsets.
- AutoZee: Automating the introduction of efficient intermediate variables.
Efficiency
- Configuration variables: Generating efficient simulation and control-systems codes.
- Motion variables: Choice of angular velocity variables, generalized speeds, and independent/dependent subsets.
- AutoZee: Automating the introduction of efficient intermediate variables.
Linearization and control-system integration
- Linearization: Nominal solutions, perturbations.
- Efficient linearization: Efficient generation of linearized equations of motion.
- Stability analysis: Eigenvalues, eigenvectors, system response.
- Control system design: State-space feedback control techniques.
