**Are you an EPFL student looking for a semester project?**

Work with us on data science and visualisation projects, and deploy your project as an app on top of GraphSearch.

Lecture# Gyroscopic Stability: Principles and Applications

Description

This lecture covers the principles of gyroscopic stability, focusing on the gyroscopic effect, precession, and nutation. It explains the applications of gyroscopes in navigation systems for boats, airplanes, and submarines, as well as in artificial horizons for aircraft. The lecture also discusses the gyroscopic properties of the Earth and provides examples of gyroscopic phenomena in everyday objects like bicycle wheels and spinning tops.

Official source

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

In course

Instructor

Related concepts (74)

PHYS-101(e): General physics : mechanics

Le cours "Physique générale" fournit les notions de base nécessaires à la compréhension de phénomènes physiques comme la mécanique du point matériel. L'objectif est atteint lorsque que l'on peut prédi

Related lectures (61)

Gyroscope

A gyroscope (from Ancient Greek γῦρος gŷros, "round" and σκοπέω skopéō, "to look") is a device used for measuring or maintaining orientation and angular velocity. It is a spinning wheel or disc in which the axis of rotation (spin axis) is free to assume any orientation by itself. When rotating, the orientation of this axis is unaffected by tilting or rotation of the mounting, according to the conservation of angular momentum.

Vibrating structure gyroscope

A vibrating structure gyroscope, defined by the IEEE as a Coriolis vibratory gyroscope (CVG), is a gyroscope that uses a vibrating structure to determine the rate of rotation. A vibrating structure gyroscope functions much like the halteres of flies (insects in the order Diptera). The underlying physical principle is that a vibrating object tends to continue vibrating in the same plane even if its support rotates. The Coriolis effect causes the object to exert a force on its support, and by measuring this force the rate of rotation can be determined.

Accelerometer

An accelerometer is a tool that measures proper acceleration. Proper acceleration is the acceleration (the rate of change of velocity) of a body in its own instantaneous rest frame; this is different from coordinate acceleration, which is acceleration in a fixed coordinate system. For example, an accelerometer at rest on the surface of the Earth will measure an acceleration due to Earth's gravity, straight upwards (by definition) of g ≈ 9.81 m/s2. By contrast, accelerometers in free fall (falling toward the center of the Earth at a rate of about 9.

Attitude and heading reference system

An attitude and heading reference system (AHRS) consists of sensors on three axes that provide attitude information for aircraft, including roll, pitch, and yaw. These are sometimes referred to as MARG (Magnetic, Angular Rate, and Gravity) sensors and consist of either solid-state or microelectromechanical systems (MEMS) gyroscopes, accelerometers and magnetometers. They are designed to replace traditional mechanical gyroscopic flight instruments.

Ring laser gyroscope

A ring laser gyroscope (RLG) consists of a ring laser having two independent counter-propagating resonant modes over the same path; the difference in phase is used to detect rotation. It operates on the principle of the Sagnac effect which shifts the nulls of the internal standing wave pattern in response to angular rotation. Interference between the counter-propagating beams, observed externally, results in motion of the standing wave pattern, and thus indicates rotation.

Angular Momentum TheoremPHYS-101(g): General physics : mechanics

Covers torque force, angular momentum theorem, gyroscopic effects, and procession of the earth's axis.

Euler Equations and Rotation DynamicsPHYS-101(k): General physics : mechanics

Explores Euler equations, gyroscopic effects, and stability in rotating systems, focusing on the dynamics of rotation and gyroscopes.

Rigid Body with Fixed Axis and GyroscopesPHYS-101(f): General physics : mechanics

Explores gyroscopes, gyroscopic effects, and the dynamics of spinning objects with fixed axes.

Advanced Physics IPHYS-100: Advanced physics I (mechanics)

Explores advanced physics concepts like oscillations, forces, and gyroscopes, focusing on rotating bodies, precession, and angular momentum conservation.

Applications of Rigid Body: Rotation ExamplesPHYS-101(j): General physics : mechanics

Covers applications of rigid body rotation, including energy storage and gyroscopic stability.