Mechanism Machines are mechanical devices used to accomplish work. A mechanism is a heart of a machine. It is the mechanical portion of the machine that has the function of transferring motion and forces from a power source to an output. Mechanism is a system of rigid elements (linkages) arranged and connected to transmit motion in a predetermined fashion. Mechanism consists of linkages and joints. Ken Youssefi UC Berkeley 1 Example of Mechanism Can crusher Simple press Rear-window wiper Ken Youssefi UC Berkeley 2 Example of Mechanisms Moves packages from an assembly bench to a conveyor Microwave carrier to assist people on wheelchair Lift platform Ken Youssefi UC Berkeley 3 Example of Mechanisms Lift platform Front loader Device to close the top flap of boxes Ken Youssefi UC Berkeley 4 Example of Mechanisms Rowing type exercise machine Conceptual design for an exercise machine Ken Youssefi UC Berkeley 5 Example of Mechanisms Extension position Flexed position Six-bar linkage prosthetic knee mechanism Ken Youssefi UC Berkeley 6 Four-Bar Linkage Ken Youssefi UC Berkeley 7 Four-Bar Linkage Categories Ken Youssefi UC Berkeley 8 Four-Bar Linkage Categories Ken Youssefi UC Berkeley 9 4-Bar mechanisms Ken Youssefi UC Berkeley 10 4-Bar mechanisms S+l>p+q 4 double rocker mechanisms Ken Youssefi UC Berkeley 11 The Slider-Crank Mechanism Ken Youssefi UC Berkeley 12 The Slider-Crank Mechanism Ken Youssefi UC Berkeley 13 Slider-Crank Mechanism - Inversion Ken Youssefi UC Berkeley 14 Mechanism Categories Function Generation Mechanisms A function generator is a linkage in which the relative motion between links connected to the ground is of interest. A four-bar hand actuated wheelchair brake mechanism Ken Youssefi UC Berkeley 15 Mechanism Categories Function Generation Mechanisms A four-bar drive linkage for a lawn sprinkler Ken Youssefi UC Berkeley 16 Mechanism Categories Motion Generation Mechanisms In motion generation, the entire motion of the coupler link is of interest (rigid body guidance). New Rollerblade brake system Ken Youssefi UC Berkeley 17 Mechanism Categories Motion Generation Mechanisms Four-bar automobile hood linkage design Ken Youssefi UC Berkeley 18 Mechanism Categories Path Generation Mechanisms In path generation, we are concerned only with the path of a tracer point and not with the motion (rotation) of the coupler link. Crane – straight line motion Ken Youssefi UC Berkeley 19 Primary Joints Ken Youssefi UC Berkeley 20 Higher Order Joints Ken Youssefi UC Berkeley 21 Motion Generation Mechanisms Rotating a monitor into a storage position Ken Youssefi Moving a storage bin from an accessible position to a stored position UC Berkeley 22 Motion Generation Mechanisms Moving a trash pan from the floor up over a trash bin and into a dump position Lifting a boat out of water Ken Youssefi UC Berkeley 23 Function Generation Mechanisms Graphical Solution Two position synthesis – Design a four-bar crank and rocker mechanism to give 45o of rocker rotation with equal time forward and back, from a constant speed motor input. 1 – Draw the rocker O4B in both extreme positions, B1and B2 in any convenient location with angle θ4 = 45o. 2 – select a convenient point O2 on line B1B2 extended. 3 – Bisect line B1B2 , and draw a circle with that radius about O2. 4 – Label the two intersection of the circle with B1B2 extended, A1 and A2. 5 – Measure O2A (crank, link2) and AB (coupler, link3). Ken Youssefi UC Berkeley 24 Function Generation Mechanisms Graphical Solution Ken Youssefi UC Berkeley 25 Crank-Rocker Mechanism Ken Youssefi UC Berkeley 26 Motion Generation Mechanisms Graphical Solution Two position synthesis – C1D1 and C2D2 1. Draw the link CD in its two desired positions, C1D1 and C2D2 2. Connect C1 to C2 and D1 to D2. 3. Draw two lines perpendicular to C1 C2 and D1D2 at the midpoint (midnormals) 4. Select two fixed pivot points, O2 and O4, anywhere on the two midnormals. Ken Youssefi UC Berkeley 27 Motion Generation Mechanisms Graphical Solution Two position synthesis (coupler output) – C1D1 and C2D2 The rigid body to be moved from position 1 to 2 is secured to link 3. Ken Youssefi UC Berkeley 28 Motion Generation Mechanisms Graphical Solution Two position synthesis (coupler output) with Dyad added. 1 – Select any point B1 on link O2C1. Locate B2. 2 – Choose O6 anywhere on B1B2 extension. 3 – Draw a circle from O6 with radius B1B2/ 2. Mark the intersection with B1B2 extension as A1 and A2. Ken Youssefi UC Berkeley 29 Motion Generation Mechanisms Graphical Solution Two position synthesis (coupler output) with Dyad added. Ken Youssefi UC Berkeley 30 Motion Generation Mechanisms Graphical Solution Two position synthesis (rocker output) – C1D1 and C2D2 Ken Youssefi UC Berkeley 31 2 Position Motion – rocker output Ken Youssefi UC Berkeley 32 Motion Generation Mechanisms Graphical Solution Three position synthesis – C1D1, C2D2 and C3D3 1. Draw the link CD in its three desired positions. 2. Follow the same procedure,draw construction lines, C1C2, C1C3 and C2C3. Same for point D. 3. Draw three midnormals for each point. 4. Locate the intersection of the three midnormal, O2 and O4 are the two fixed pivot points. Ken Youssefi UC Berkeley 33 Motion Generation Mechanisms Graphical Solution Three position synthesis – C1D1, C2D2 and C3D3 Ken Youssefi UC Berkeley 34 3 Position Motion Ken Youssefi UC Berkeley 35 3 Position Motion Ken Youssefi UC Berkeley 36 3 Position Motion Ken Youssefi UC Berkeley 37 Slider-Crank Mechanism The mechanism has a stroke B1B2 equal twice the crank length r2. Locations B1 and B2 are called the extreme positions (limiting) of the slider In-line slider crank mechanism Ken Youssefi UC Berkeley 38 Slider-Crank Mechanism Offset slider-crank mechanism Ken Youssefi UC Berkeley 39 Straight line Mechanisms Ken Youssefi UC Berkeley 40 Straight Line Mechanism Ken Youssefi UC Berkeley 41 Scotch Yoke Mechanism Ken Youssefi UC Berkeley 42 Geneva Mechanism Ken Youssefi UC Berkeley 43 Linear Geneva Mechanism Ken Youssefi UC Berkeley 44 Ratchet Mechanism Ken Youssefi UC Berkeley 45 Straight Beam Walking Mechanism Ken Youssefi UC Berkeley 46 Ken Youssefi UC Berkeley 47 Roller and Flat Follower Cams Ken Youssefi UC Berkeley 48 Cylindrical Cam Mechanism Ken Youssefi UC Berkeley 49 Gears – Rack and Pinion Ken Youssefi UC Berkeley 50 Gears Worm Gear Sets Ken Youssefi Bevel gears UC Berkeley Planetary Gear set 51 V-8 Engine Ken Youssefi UC Berkeley 52 Type of Motion and Mechanisms Most power sources that are readily available today are either of the pure rotational motion type, such as electric motor or hand crank, or of the pure translational type, such as pneumatic or hydraulic cylinder. Translation to Translation Ken Youssefi UC Berkeley 53 Type of Motion and Mechanisms Rotational to Rotational Ken Youssefi UC Berkeley 54 Type of Motion and Mechanisms Rotation to Translation Ken Youssefi UC Berkeley 55 References • Mechanism Design, Analysis and Synthesis by Erdman and sander, fourth edition, Prentice-Hall, 2001, • Machines and Mechanisms by Uicker, Pennock and Shigley, third edition, Oxford, 2002. • Machines and Mechanisms by Myszka, PrenticeHall, 1999 Ken Youssefi UC Berkeley 56