Model-Based Autonomous Navigation with Moment of Inertia Estimation for Unmanned Aerial Vehicles

Hery Mwenegoha1, Terry Moore2, James Pinchin3

  • 1Nottingham Geospatial Institute, University of Nottingham, Triumph Road, Nottingham NG7 2TU, UK. hery.mwenegoha1@nottingham.ac.uk.

Related Concept Videos

Moment of Inertia01:14

Moment of Inertia

The comparability between linear and angular velocities, linear and angular accelerations, and the kinematic equations of translational and rotational motion can be extended to the concept of inertia.
If a rigid body is rotating about an axis but is not in translational motion, its translational kinetic energy is zero. However, since each particle undergoes rotational motion, it possesses non-zero velocity and kinetic energy. Thus, the kinetic energy of the rigid body, which is the sum of the...
18.8K
Moments of Inertia for Areas01:17

Moments of Inertia for Areas

The second moment of area, also known as the moment of inertia of an area, is a geometric property of a shape that reflects its resistance to change. The moment of inertia of an area is expressed in terms of a single number and can be calculated for both two-dimensional and three-dimensional shapes. The moment of inertia of an area is calculated by taking the sum of the product of the area and the square of its distance from a chosen axis of rotation. The moment of inertia is expressed in units...
2.6K
Moment of Inertia: Calculations01:09

Moment of Inertia: Calculations

The moment of inertia of an object depends on its axis of rotation. Consider a barbell consisting of two masses attached to the ends of a rod. The masses at the end can be considered point masses, and the rod can be assumed to have negligible weight. The moment of inertia of the barbell can be calculated using the mathematical definition of the moment of inertia once the system's rotation axis is decided. Suppose the point masses m are fixed at a distance R from the center of the rod,...
8.1K
Mass Moment of Inertia01:10

Mass Moment of Inertia

The mass moment of inertia is a measure of the resistance of a rigid body to angular acceleration. This physical quantity can be evaluated and analyzed in various rotational motions, from everyday objects such as fans and wind turbines to complex machines used in challenging industries.
Consider a differential mass element on an arbitrary object. The differential moment of inertia can be calculated by multiplying the mass of the element by the square of its distance from the object's rotational...
1.3K
Moments and Product of Inertia01:23

Moments and Product of Inertia

The calculation of the moment of inertia for a differential element within a rigid body involves multiplying the element's mass by the square of the minimum distance from any one of the three-coordinate axes to the said element. This is a process that can be extended to cover the entire mass of the body by simply integrating the expression, thereby ascertaining the body's moment of inertia.
1.0K
Moments of Inertia: Problem Solving01:14

Moments of Inertia: Problem Solving

The second moment of an area, also known as the moment of inertia of an area, is a geometric property of a shape that reflects its resistance to change. The moment of inertia of an area can be calculated for both two-dimensional and three-dimensional shapes. The moment of inertia of an area is calculated by taking the sum of the product of the area and the square of its distance from a chosen axis of rotation. For two-dimensional shapes, the moment of inertia can be expressed as a single...
1.1K