Theory of Machines: Velocity Analysis using Relative Method

Name: Theory of Machines: Velocity Analysis using Relative Method
Rating: 5.0 (2 reviews)

Master drawing velocity polygons and dealing with sliders, pins, rolling/sliding contacts, and auxiliary point technique

Created byShahram Shokouhfar

Last updated 8/2024

English

English [Auto],

What you'll learn

Master how to draw Velocity Polygons for linkages
Take advantage of shortcuts such as the Velocity Image
Analyze challenging linkages containing Sliders and Pin-on-Slot joints
Deal with Rolling and Sliding Contacts
Use the Auxiliary Point technique for Floating Link Mechanisms
Practice simple to complex examples with solutions

Course content

1 section • 8 lectures • 1h 25m total length

Introduction and Course Outline2:59
Master velocity analysis in the theory of machines using relative velocity methods, velocity diagrams, velocity polygons, and practical linkages like four-bar, five-bar, slider-crank, and pin-on-slot.
Understand Relative Velocity15:13
Explore relative velocity between points and extend to multiple points. Differentiate motions on the same rigid body from those on different bodies and apply to velocity diagrams and examples.
Construct Velocity Polygon10:14
Construct velocity polygons using the relative velocity method for four-bar, five-bar, and slider crank mechanisms, determining velocities of points A, B, C and the angular velocities of links.
Take Advantage of Velocity Image as a Shortcut10:09
Apply the velocity image as a shortcut in velocity analysis, using similar triangles to deduce point c's velocity from the velocity polygon in a four-bar linkage.
Understand Relative Velocity of Sliding8:26
Learn how to analyze relative velocity of sliding with a crank shaper mechanism by constructing a velocity polygon and separating sliding and footprint components to determine angular velocities.
Examples of Pin on Slot Joint14:32
Explore velocity analysis of pin-on-slot joints using velocity polygons across three progressively complex examples, deriving relative and absolute velocities and the angular speeds of links two and three.
Examples of Rolling and Sliding Contacts8:12
Learn to analyze rolling and sliding contacts in velocity analysis using the method of relative velocities, building velocity polygons to determine angular velocities of rollers and links.
Method of Using an Auxiliary Point15:46
Learn the auxiliary point method to build a velocity polygon for a floating-link mechanism, locating an auxiliary point on the floating link and deriving all point and link velocities.

Requirements

A little bit of "Basic Geometry". But no worries! You will learn everything you need to know.

Description

In this course, you will learn how to perform a Velocity Analysis for a mechanical system. Velocity analysis is one of the most important topics in Theory of Machines. It's a complicated topic, and might take several hours of you to learn and get master. This course is designed as a minimal yet comprehensive collection of what you really need to know for success, and will save you a lot of time. You will find this online course unique and different. Just give it a try and see why.

Here is a summary of what you will master on:

You will understand the concept of Relative Motion between two or more points.
You will master how to draw a Velocity Polygon using the method of Relative Velocities.
You will take advantage of shortcuts such as the Velocity Image.
You will practice simple to complex problems of linkages containing Sliders and Pin-on-Slot joints.
You will learn how to deal with Rolling and Sliding Contacts.
You will apply the Auxiliary Point Technique for mechanisms containing a Floating Link.

You will have a chance to practice several examples with progressive levels of complexity, and evaluate yourself via reviewing the provided solutions. The motions of the linkages are illustrated for you to easier understand the kinematics of the systems.

Who this course is for:

Engineering students having "Theory of Machines" in their program and look for a crash course to master problem solving strategies
Design engineers who want to master kinematics of mechanisms