MECN 4110 Inter - Bayamon Lecture 5 Mechanisms Design MECN 4110 Professor: Dr. Omar E. Meza Castillo...
-
Upload
debra-stewart -
Category
Documents
-
view
338 -
download
47
Transcript of MECN 4110 Inter - Bayamon Lecture 5 Mechanisms Design MECN 4110 Professor: Dr. Omar E. Meza Castillo...
MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
LectureLecture
55Mechanisms DesignMechanisms Design
MECN 4110 MECN 4110
Professor: Dr. Omar E. Meza CastilloProfessor: Dr. Omar E. Meza [email protected]
http://facultad.bayamon.inter.edu/omeza
Department of Mechanical EngineeringDepartment of Mechanical Engineering
Inter American University of Puerto RicoInter American University of Puerto Rico
Bayamon CampusBayamon Campus
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
22
Tentative Lectures ScheduleTentative Lectures Schedule
TopicTopic LectureLecture
Introduction of Mechanism and KinematicsIntroduction of Mechanism and Kinematics 1, 2 and 31, 2 and 3
Position AnalysisPosition Analysis 44
Velocity AnalysisVelocity Analysis 55
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
Fourbar LinkageFourbar Linkage
Topic: Velocity AnalysisTopic: Velocity Analysis
33
One thing you learn in science is that One thing you learn in science is that there is no perfect answer, no perfect there is no perfect answer, no perfect measure.measure.
A. O. BeckmanA. O. Beckman
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
Chapters ObjectivesChapters Objectives
Up on completion of this chapter, the Up on completion of this chapter, the student will be able tostudent will be able to Determine velocities of links and points on the Determine velocities of links and points on the
fourbar mechanism by using graphical and fourbar mechanism by using graphical and analytical approaches.analytical approaches.
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.1 Velocity6.1 Velocity
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.1 Velocity6.1 Velocity
Velocity of point PVelocity of point P
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.1 Velocity6.1 Velocity
Velocity Difference / Relative VelocityVelocity Difference / Relative Velocity
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.1 Velocity6.1 Velocity
Methods for Velocity AnalysisMethods for Velocity Analysis
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.2 Graphical Velocity Analysis6.2 Graphical Velocity Analysis
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.2 Graphical Velocity Analysis6.2 Graphical Velocity Analysis
Given Given ωω22, find , find ωω33, , ωω44, V, VAA, V, VBB and V and VCC
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.2 Graphical Velocity Analysis6.2 Graphical Velocity Analysis
Given Given ωω22, find , find ωω33, , ωω44, V, VAA, V, VBB and V and VCC
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.2 Graphical Velocity Analysis6.2 Graphical Velocity Analysis
Given Given ωω22, find , find ωω33, , ωω44, V, VAA, V, VBB and V and VCC
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.2 Graphical Velocity Analysis6.2 Graphical Velocity Analysis
Given Given ωω22, find , find ωω33, , ωω44, V, VAA, V, VBB and V and VCC
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.3 Instant Centers of Velocity6.3 Instant Centers of Velocity
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.3 Instant Centers of Velocity6.3 Instant Centers of Velocity
Finding lCs on a Fourbar LinkageFinding lCs on a Fourbar Linkage
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.3 Instant Centers of Velocity6.3 Instant Centers of Velocity
Finding lCs on a Fourbar LinkageFinding lCs on a Fourbar Linkage
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Velocity Analysis using IVelocity Analysis using I1,31,3
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Velocity Analysis using IVelocity Analysis using I1,31,3
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Velocity Analysis using IVelocity Analysis using I2,42,4
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Velocity Analysis using IVelocity Analysis using I2,42,4
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Why Study Instant Centers?Why Study Instant Centers?
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Why Study Instant Centers?Why Study Instant Centers?
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Instant Center of a Sliding JointInstant Center of a Sliding Joint
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Finding ICs of a Slider-CrankFinding ICs of a Slider-Crank
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Finding ICs of a Cam FollowerFinding ICs of a Cam Follower
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Angular Velocity Ratio, Angular Velocity Ratio, mmvv
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Angular Velocity Ratio in terms of link lengths and Angular Velocity Ratio in terms of link lengths and angles v and angles v and μμ
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Angular Velocity Ratio in terms of link lengths and Angular Velocity Ratio in terms of link lengths and angles v and angles v and μμ
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Mechanical Advantage, mMechanical Advantage, mAA
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs
Mechanical Advantage, mMechanical Advantage, mAA
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.5 Analytical Velocity Analysis of Fourbar Linkage6.5 Analytical Velocity Analysis of Fourbar Linkage
Velocity Analysis of Pin-Jointed Fourbar Linkage using Velocity Analysis of Pin-Jointed Fourbar Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.5 Analytical Velocity Analysis of Fourbar Linkage6.5 Analytical Velocity Analysis of Fourbar Linkage
Velocity Analysis of Fourbar Linkage using Vector Loop Velocity Analysis of Fourbar Linkage using Vector Loop MethodMethod
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.5 Analytical Velocity Analysis of Fourbar Linkage6.5 Analytical Velocity Analysis of Fourbar Linkage
Velocity Analysis of Fourbar Linkage using Vector Loop Velocity Analysis of Fourbar Linkage using Vector Loop MethodMethod
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.5 Analytical Velocity Analysis of Fourbar Linkage6.5 Analytical Velocity Analysis of Fourbar Linkage
Velocity Analysis of Fourbar Linkage using Vector Loop Velocity Analysis of Fourbar Linkage using Vector Loop MethodMethod
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.5 Analytical Velocity Analysis of Fourbar Linkage6.5 Analytical Velocity Analysis of Fourbar Linkage
Velocity Analysis of Fourbar Linkage using Vector Loop Velocity Analysis of Fourbar Linkage using Vector Loop MethodMethod
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.5 Analytical Velocity Analysis of Fourbar Linkage6.5 Analytical Velocity Analysis of Fourbar Linkage
Numerical ExampleNumerical Example
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.5 Analytical Velocity Analysis of Fourbar Linkage6.5 Analytical Velocity Analysis of Fourbar Linkage
Numerical ExampleNumerical Example
Position Analysis
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.5 Analytical Velocity Analysis of Fourbar Linkage6.5 Analytical Velocity Analysis of Fourbar Linkage
Plot of Output Velocity versus Input VariablePlot of Output Velocity versus Input Variable
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.6 Analytical Velocity Analysis of Slider-Crank6.6 Analytical Velocity Analysis of Slider-Crank
Velocity Analysis of Offset Slider-Crank Linkage using Velocity Analysis of Offset Slider-Crank Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.6 Analytical Velocity Analysis of Slider-Crank6.6 Analytical Velocity Analysis of Slider-Crank
Velocity Analysis of Offset Slider-Crank Linkage using Velocity Analysis of Offset Slider-Crank Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.6 Analytical Velocity Analysis of Slider-Crank6.6 Analytical Velocity Analysis of Slider-Crank
Velocity Analysis of Offset Slider-Crank Linkage using Velocity Analysis of Offset Slider-Crank Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.6 Analytical Velocity Analysis of Slider-Crank6.6 Analytical Velocity Analysis of Slider-Crank
Velocity Analysis of Offset Slider-Crank Linkage using Velocity Analysis of Offset Slider-Crank Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.7 Analytical Velocity Analysis of Inverted Slider-Crank6.7 Analytical Velocity Analysis of Inverted Slider-Crank
Velocity Analysis of Inverted Slider-Crank Linkage using Velocity Analysis of Inverted Slider-Crank Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.7 Analytical Velocity Analysis of Inverted Slider-Crank6.7 Analytical Velocity Analysis of Inverted Slider-Crank
Velocity Analysis of Inverted Slider-Crank Linkage using Velocity Analysis of Inverted Slider-Crank Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.7 Analytical Velocity Analysis of Inverted Slider-Crank6.7 Analytical Velocity Analysis of Inverted Slider-Crank
Velocity Analysis of Inverted Slider-Crank Linkage using Velocity Analysis of Inverted Slider-Crank Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.7 Analytical Velocity Analysis of Inverted Slider-Crank6.7 Analytical Velocity Analysis of Inverted Slider-Crank
Velocity Analysis of Inverted Slider-Crank Linkage using Velocity Analysis of Inverted Slider-Crank Linkage using Vector Loop MethodVector Loop Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.8 Velocity of Any Point on a Link6.8 Velocity of Any Point on a Link
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.8 Velocity of Any Point on a Link6.8 Velocity of Any Point on a Link
Velocity of Point SVelocity of Point S
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.8 Velocity of Any Point on a Link6.8 Velocity of Any Point on a Link
Velocity of Point PVelocity of Point P
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.8 Velocity of Any Point on a Link6.8 Velocity of Any Point on a Link
Velocity of Point PVelocity of Point P
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.8 Velocity of Any Point on a Link6.8 Velocity of Any Point on a Link
Velocity of Pint P relative to Point OVelocity of Pint P relative to Point O22
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.9 Velocity of Slip6.9 Velocity of Slip
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.9 Velocity of Slip6.9 Velocity of Slip
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.10 Velocity of Slip Using Graphical Method6.10 Velocity of Slip Using Graphical Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
6.10 Velocity of Slip Using Graphical Method6.10 Velocity of Slip Using Graphical Method
Lecture 5Lecture 5MEC
N 4
110 I
nte
r -
Bayam
on
MEC
N 4
110 I
nte
r -
Bayam
on
Homework5 Homework5 http://facultad.bayamon.inter.edu/omeza
Omar E. Meza Castillo Ph.D.Omar E. Meza Castillo Ph.D.
5757