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Dynamics of Machinery: Introduction to Precession and Gyroscopes - Prof. Dynamics of Machi, Lecture notes of Mechanical Engineering

Dynamics of Machinery is a branch of engineering that deals with the motion and behavior of mechanical systems. It involves the study of forces and moments acting on a machine and how they affect its motion. This field is critical in the design and analysis of mechanical systems, such as robots, automobiles, and turbines, to ensure their safe and efficient operation. The principles of dynamics are used to understand the vibration and stability of machines, as well as to develop methods

Typology: Lecture notes

2022/2023

Available from 02/07/2023

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Dynamics of Machinery
UNIT 1
Introduction : Precession
Presented By:
N V S G SASIKIRAN
Assistant Professor
Mechanical Engineering
GIET – (A)
Lecture Details:
Precession : Gyroscopes
Automobile Engineering, II Year – II Sem.
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Dynamics of Machinery

UNIT 1

Introduction : Precession

Presented By: N V S G SASIKIRAN Assistant Professor Mechanical Engineering Lecture Details:^ GIET – (A) Precession : Gyroscopes Automobile Engineering, II Year – II Sem.

Syllabus

UNIT–I : Precession

UNIT–II : Friction, Clutches, Brakes And Dynamometers

UNIT–III : Turning Moment Diagrams, Governers

UNIT–IV: Balancing

UNIT–V : Vibrations

Unit–I : Precession

  • Gyroscopes
  • Effect of Precession motion on the stability motor cycle and motor car
  • Effect of Precession motion on the stability of ships and aero planes
  • Static and Dynamic force analysis of four bar mechanism

and slider crank mechanism.

Types of Forces Acting On A Body

Gyroscopes

A Gyroscope is a device used for measuring or maintaining orientation and angular velocity.

When rotating, the orientation of this axis is unaffected by tilting or rotation of the mounting, according to the conservation of angular momentum.

Types of Gyroscopes

We typically discuss about Mechanical Gyroscopes and its usage in Automobiles and Aircrafts.

Gyro sensors

Gyro sensors, also known as angular rate sensors or angular velocity sensors, are devices that sense angular velocity.

  • Mechanical Gyroscopes
  • Gas-Bearing Gyroscopes
  • Optical Gyroscopes

Gyroscopes

- Gyroscopes are used in compasses and automatic pilots on ships and aircraft, in the steering mechanisms of torpedoes, and in the inertial guidance systems installed in space launch vehicles, ballistic missiles, and orbiting satellites.

Gyro sensors

- Gyro sensors have found their way into camera-shake detection systems for compact video and still cameras, motion sensing for video games, and vehicle electronic stability control (anti-skid) systems, among other things.

Gyro sensor in a Mobile

  • Gyro sensor is capable of sensing the orientation and and rotational motion as shown in the fig, namely - Roll - Pitch and - Yaw

INTRODUCTION

  • If the axis of spinning or rotating body is given a angular motion about an axis perpendicular to the axis of spin, an angular acceleration acts on the body about the third perpendicular axis. The torque required to produce this acceleration is a known as the active gyroscopic torque.
  • A reactive gyroscopic torque or couple also acts similar to the concept of centripetal and centrifugal forces on a rotating body. The effect produced by the reactive gyroscopic couple is known as the gyroscopic effect.

ANGULAR VELOCITY

ANGULAR ACCELERATION CONT…

  • The vector ab can be resolved into two components: (i) ac representing angular velocity change in a plane normal to ac or x-axis (ii) Cb representing angular velocity change in a plane normal to cb or y-axis Change of angular velocity. ac= (ω+ δω) cosδθ - ω

ANGULAR ACCELERATION CONT

Gyroscopic Torque (couple)