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LectureLecture

55Mechanisms DesignMechanisms Design

MECN 4110 MECN 4110

Professor: Dr. Omar E. Meza CastilloProfessor: Dr. Omar E. Meza Castilloomeza@bayamon.inter.edu

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

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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

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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

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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.

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6.1 Velocity6.1 Velocity

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6.1 Velocity6.1 Velocity

Velocity of point PVelocity of point P

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6.1 Velocity6.1 Velocity

Velocity Difference / Relative VelocityVelocity Difference / Relative Velocity

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6.1 Velocity6.1 Velocity

Methods for Velocity AnalysisMethods for Velocity Analysis

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6.2 Graphical Velocity Analysis6.2 Graphical Velocity Analysis

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Given Given ωω22, find , find ωω33, , ωω44, V, VAA, V, VBB and V and VCC

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Given Given ωω22, find , find ωω33, , ωω44, V, VAA, V, VBB and V and VCC

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Given Given ωω22, find , find ωω33, , ωω44, V, VAA, V, VBB and V and VCC

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Given Given ωω22, find , find ωω33, , ωω44, V, VAA, V, VBB and V and VCC

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6.3 Instant Centers of Velocity6.3 Instant Centers of Velocity

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6.3 Instant Centers of Velocity6.3 Instant Centers of Velocity

Finding lCs on a Fourbar LinkageFinding lCs on a Fourbar Linkage

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6.3 Instant Centers of Velocity6.3 Instant Centers of Velocity

Finding lCs on a Fourbar LinkageFinding lCs on a Fourbar Linkage

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6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs

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Velocity Analysis using IVelocity Analysis using I1,31,3

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Velocity Analysis using IVelocity Analysis using I1,31,3

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Velocity Analysis using IVelocity Analysis using I2,42,4

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Velocity Analysis using IVelocity Analysis using I2,42,4

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6.4 Velocity Analysis with ICs6.4 Velocity Analysis with ICs

Why Study Instant Centers?Why Study Instant Centers?

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Why Study Instant Centers?Why Study Instant Centers?

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Instant Center of a Sliding JointInstant Center of a Sliding Joint

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Finding ICs of a Slider-CrankFinding ICs of a Slider-Crank

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Finding ICs of a Cam FollowerFinding ICs of a Cam Follower

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Angular Velocity Ratio, Angular Velocity Ratio, mmvv

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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

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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

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Mechanical Advantage, mMechanical Advantage, mAA

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Mechanical Advantage, mMechanical Advantage, mAA

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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

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Velocity Analysis of Fourbar Linkage using Vector Loop Velocity Analysis of Fourbar Linkage using Vector Loop MethodMethod

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Velocity Analysis of Fourbar Linkage using Vector Loop Velocity Analysis of Fourbar Linkage using Vector Loop MethodMethod

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Velocity Analysis of Fourbar Linkage using Vector Loop Velocity Analysis of Fourbar Linkage using Vector Loop MethodMethod

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Velocity Analysis of Fourbar Linkage using Vector Loop Velocity Analysis of Fourbar Linkage using Vector Loop MethodMethod

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Numerical ExampleNumerical Example

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Numerical ExampleNumerical Example

Position Analysis

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Plot of Output Velocity versus Input VariablePlot of Output Velocity versus Input Variable

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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

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Velocity Analysis of Offset Slider-Crank Linkage using Velocity Analysis of Offset Slider-Crank Linkage using Vector Loop MethodVector Loop Method

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Velocity Analysis of Offset Slider-Crank Linkage using Velocity Analysis of Offset Slider-Crank Linkage using Vector Loop MethodVector Loop Method

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Velocity Analysis of Offset Slider-Crank Linkage using Velocity Analysis of Offset Slider-Crank Linkage using Vector Loop MethodVector Loop Method

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Velocity Analysis of Inverted Slider-Crank Linkage using Velocity Analysis of Inverted Slider-Crank Linkage using Vector Loop MethodVector Loop Method

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Velocity Analysis of Inverted Slider-Crank Linkage using Velocity Analysis of Inverted Slider-Crank Linkage using Vector Loop MethodVector Loop Method

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Velocity Analysis of Inverted Slider-Crank Linkage using Velocity Analysis of Inverted Slider-Crank Linkage using Vector Loop MethodVector Loop Method

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Velocity Analysis of Inverted Slider-Crank Linkage using Velocity Analysis of Inverted Slider-Crank Linkage using Vector Loop MethodVector Loop Method

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Velocity of Point SVelocity of Point S

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Velocity of Point PVelocity of Point P

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Velocity of Point PVelocity of Point P

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Velocity of Pint P relative to Point OVelocity of Pint P relative to Point O22

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6.9 Velocity of Slip6.9 Velocity of Slip

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6.10 Velocity of Slip Using Graphical Method6.10 Velocity of Slip Using Graphical Method

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Homework5 Homework5 http://facultad.bayamon.inter.edu/omeza

Omar E. Meza Castillo Ph.D.Omar E. Meza Castillo Ph.D.

5757