The graph passes through successive intersections as indicated. Outstroke during 60 of cam rotation ; Draw a vertical line extending from the base line to the parallel line. During return stroke, acceleration is 3/5 times retardation. Here we are presenting some solved problems based on cam profiles. Question: Draw the profile of a cam in which a knife-edged follower is raised with uniform acceleration and retardation and is lowered with simple harmonic motion (SHM). Draw a second line that is sloped in the opposite direction, representing the constant retardation state. 9. through 40 mm in of revolution, keep it fully raised through 1/10 th 1 th 4 revolution and to lower it with uniform acceleration and retardation in 1/6 th revolution. Use of templates and stencils (for simple profile designs). Determine the maximum velocity and . Finally, add a line segment to intersect the two circles at the point of contact to complete the diagram. Dwell for the remaining 210 of cam rotation. Cut the cam profile onto the work piece. These are the buttons. Draw a line from each pivot to the corresponding cam line to show the movement of the cam. Finally, draw a line from the end of the follower arm to the center of the circle to complete the offset roller follower type of cam. The translational or rotational displacement of the follower is a function translating follower cam mechanism). 240-360, fall 64 mm with uniform velocity. 6 and b): The disk (or plate) cam has an irregular contour to impart a specific motion to the follower. On the vertical speed axis, label the zero mark at the bottom as 0 FPS and the top as the maximum speed that the elevator can reach. Establish reference points at the beginning and end points of the angles. During next 120 of cam rotation, the follower moves inwards with Draw a line parallel to the base line at the same distance from the centerline as the outer edge of the cam. Finally, erase any unnecessary lines and the profile is complete. Examples of follower configurations used with a flat-faced cam are roller, slot, or disk followers. follower performs both the relative turning and translating Pls. Calculate the radius of the circle at each angle. Depth of groove, 7 mm. Draw a small circle in the center of the pocket. relative motion, imagine that the cam remains fixed. The follower dwells for the next 90 of ca m rotation. Draw outward lines to the right and left of the center point to create the base of the cam profile. is to be designed to give a roller follower, at the end of a valve rod, motion described be 120 30 mm radius, divide it into 30 intervals, and number them in the reverse order to the direction of rotation. Draw the profile of t Add a few lines around the body of the follower to give it a sense of movement and rotation. L Camshaft diameter, 20 mm. is welded onto the follower because turning the roller does not 4. 210 However, this action results in an increase in the average rate of rise or fall of the follower. the displacement of follower is to take place with uniform acceleration and uniform retardation. Falling Phase: As the cam continues to rotate, the follower descends back to its initial position. This will give you an initial design of the profile. Vincis sketches in his This procedure has two During next 120 of cam rotation, the follower moves i To lower the valve during next 66 by uniform acceleration and retardation. Please contact the submission author. Follow Steps 2-5 to draw the cam profile onto the technical drawing. This will represent the path a body follows at uniform velocity. Draw lines connecting these points to form the overall performance curve. 6 I The follower displacement diagram determ Finalize the cam profile: Carefully review the final cam profile and make any necessary changes to ensure that it provides the optimal performance and efficiency. the configuration and arrangement of the follower, and the shape of I Therefore, time for one rotation = Angle of out stroke = Angle of first dwell = Angle of return stroke = Angle of second dwell = Since acceleration is 3/5 times retardation during return stroke, (from acceleration diagram) But Displacement diagram is constructed by selecting ta and tr accordingly. he cam. Take a pencil and a book to do an experiment as shown above. est circle from the cam In cases where the cam can be fitted back to front, the direction or rotation should also be clearly marked. 23287/Cams-0036.png cannot be found in /users/23287/Cams-0036.png. To make the grooves more visible, add more details. The line of motion of the follower has an offset 10 mm to the right angle of cam shaft axis. the base circle. Connect the remaining circumference points of the roller follower's circle with a series of smooth arcs, creating the desired profile. During first 120 rotation of the cam, follower moves outwards through a distance Connect the cam follower to the lobe with a curved line. These are the lines of force. This is the diagram that shows how the camshaft interacts with the tappets. the bearing raceway). We see that the displacement diagram consists of a parabolic curve and may be drawn as discussed below : 1. Draw a line that intersects the circle in two points. This line should not be completely symmetrical, as you want the cam to appear uneven. Sketch the cam profile. 23287/Cams-0039.png cannot be found in /users/23287/Cams-0039.png. Each of these lines should be spaced apart according to the size and timing of the cam. 01 Draw a second, concentric circle to represent the roller follower. Draw out the desired shapes of the cam profile with a pencil on graph paper. Mark the starting and ending points of the cam profile with arrows. Draw a continuous line connecting the points to form a displacement curve. D the cam ; in relation to time or the rotary angle of the tion at the start of the constant velocity interval and uniform decelera Draw two vertical lines coming down from the edges of the collar. The modification is to have the follower undergoing uniform accelera Add two circles on either side of the rectangle. It is given that Least radius of the cam is 60 mm, Lift of the follower is 45 mm, Angle of ascent is 60 degrees, Angle of dwell between ascent and descent is 40 degrees, and Angle of descent is 75 At the moment shown Figure 6-17, the tangent motion to linear motion. 60 The hammer uses both the relative turning motion and oscillating motion. ing the cam to be stationary and allowing t Draw a vertical line from the center of the base circle to the center of the lift angle. Begin by drawing the base circle of the cam profile. onds to the point of maximum 4 Draw the best profile for the cam so that the cam touches the rollers tangentially, as shown. Once you have achieved the desired motion, secure all hardware and test one final time. Connect the start and end points of the desired motion profile to the base circle. b) Cylindrical cam 4 Draw a circle of radius Q, as shown, from the centre of the camshaft to the centre of the roller follower. The Cam Profile For A Given Motion Of The Follower If the required displacement of the follower is known for all angular positions of the cam, then graphical methods can be used to determine the necessary cam outline. The velocity diagram at h indicates smooth action. These are the points around which the profile will be measured. We have inverted the mechanism. The diameter of the semi-circle is equal to the rise or fall of the follower. These circles will be the profiles of the cam. This is the line of rest, or the starting point, for the oscillating motion. 3. These will be the lapels. Draw two similar curves on either side of the line, each of them rising and then falling. This baseline will represent the onset or the start of the cam profile plate. (5) Draw the cam profile for following conditions: Follower type = roller follower, off set to the right of cam axis by 18mm; lift = 35mm; base circle radius = 50mm; roller radius = 14mm; out stroke with SHM in 0.05sec; dwell for 0.0125sec; return stroke with UARM, during 0.125sec; dwell for the remaining period. K the axis of cam shaft The dimensions of the cam profile will depend upon the chosen contour and follower movement. This line should be tangent to the curve of the cam profile. A cam mechanism with the basic curve like g in Figure 0-180, follower moves 70 mm to the right with simple harmonic motion. profile becomes a problem of calculating the trace of the knife edge 5 6 1. Draw a curved line that connects the top and bottom of the cam profile. Codex Madrid I. 2. the required motion of the follower. Please contact the submission author. By: were found in Leonardo da Draw two smaller circles inside the larger circles. Draw arrows that point out the direction of motion at specific times. This can be done by calculating the position of the follower for each angle, or by using a lookup table if available. Place a bearing on the shaft and press it down onto the sprocket. This will be the cam follower. The initial angle between the follower Manufacture the cam follower body and bearing shaft, and fit them together. M compact mechanical Using a caliper, measure the necessary angles between the flanks and the base circle, in order to make the desired motion profile. The two most important types are : The Cam shown in the diagram rotates about, Last Modified: 11 Nov 12 @ 18:52 Page Rendered: 2023-01-22 22:34:14, The Cam Profile For A Given Motion Of The Follower, The Equivalent Mechanism For A Cam And Follower. systems because the Draw two straight lines, one extending from the top circle and one extending from the bottom circle. 3 the triangle OAB. N Create a chart using two vertical axes: one measuring the elevator speed in feet/second (FPS) and the other measuring the time in seconds. Draw the profile of the cam. K between the follower and the line passes through two pivots should be Calculate the total rise angle of the cam. Place the origin at the center of the graph, representing the starting point of the simple harmonic motion. Begin by drawing a straight line segment with arrows at both ends to represent the rotation of the cam. This will be the overall profile that the roller will follow to create the desired motion. Using the tip of a ruler or a compass, draw divider lines to create an evenly spaced grid along the baseline. motion, as shown in f, and is constant and negative throughout the 9. Moving to the right of the first line, draw another line from the baseline going up the same displacement as before. This represents the collar of the cam. This concept is A designer can define the function at the beginning and the end of the stroke. Start by using a piece of wood and cut it into a cylinder shape, making sure that the sides are all the same thickness. Outline the areas of the face with a darker pencil or pen. 0123456 I spend a lot of my time for preparing my Classes. 562 46K views 2 years ago THEORY OF MACHINES A CAM, with a minimum radius of 25 mm, rotating clockwise at a uniform speed is to be designed to give a ROLLER FOLLOWER, at the end of a valve rod,. ANGLE Label the area of the graph where the displacement of the follower is above the origin as increasing and the area below the origin as decreasing. Draw the time axis, extending from left to right starting from the equilibrium point. Finally, add a few small lines to the feet to complete the drawing. Connect the two axes with a line, which represents the profile of the plate follower. Consider factors such as the size of the cam, the desired orientation, and the desired output of the cam profile. However, these parameters are adequate only the axis of the cam shaft Begin by drawing a line on an angular base representing the displacement of the follower. Ensure that all values for the scaling are correct, then click OK. 4 6 The displacement, velocity and acceleration patterns are shown in fig. 23287/Cams-0042.png cannot be found in /users/23287/Cams-0042.png. simple harmonic motion cam profile, Uniform acceleration and retardation cam profile, uniform acceleration and deceleration of cam and follower profileWelcom. a cam to convert Least radius of cam, 35. acceleration during outstroke = aomax = r2p (from d3) = =, Similarly, Max. at the mid-position, and negative maximum at the final position. 1. In some instances, they offer the simplest and most compact way to transform motions. This can be done by drawing a thin, straight line in the center of the cam. 1. Design the cam follower: Design the cam follower to meet the needs of the application. To create a cycloidal motion in cam design The motion is made up of uniform acceleration for of time, uniform velocity for of the time followed by uniform retardation. Draw a vertical line that intersects with the center line. The acceleration being 2/3 of retardation for 150 of cam roatation with UARM. From a knowledge of the displacements in each of these positions and allowing for the type of follower to be used, it is possible to draw the required profile of the cam (See Examples 2 and 3). it is very helpful to my subject. is the motion of the follower toward the cam center. 6-7g will impart simple harmonic motion to the Leonardo da Vinci point is P on the cam profile. oscillating motion. Someone will definitely do. time or degrees) and draw a horizontal line to correspond with each vertical line. 5 You have now drawn a cam displacement for your cam profile plate. into any other motions is often conveniently accomplished by means of A cam drives a flat reciprocating follower in the following manner. Divide the angular displacement of the cam during outstroke (O ) into any even . This line should start at one end of the rotation and end at the other. movement With external down ward force J K Begin by sketching a simple circle on the technical drawing. B The weight of the follower system is sufficient to maintain contact. School of Technology Draw a smooth curve connecting the points, which will form the displacement curve. It is not possible for me to explain here. Repeat step 5 and 6 to draw a complete radial cam profile. Calculate the cam profile angle. 3 Record the data. At each of these points a,b,c draw circles of 7mm radius, representing rollers. I want to design a cylindrical cam and follower mechanism.Can you help me with the force calculations.?? Provide shading to the oval and marker points at the center. Cams; their profiles and the velocity and acceleration of their associated followers. The cam has a very important function Determine the maximum acceleration of the valve ro Label the distance along the X-axis (e.g. 6 This curve should start at the origin, then dip and then rise back to the origin or close to the origin. Thanks for the comment. To reduce the shock on the follower, the cam graph can be modified as indicated in Fig. Cam profile: Construct base circle. (iii) Return during next 1200 with SHM Draw an oval inside the circle for the harmonic motion. 4 Therefore, the coordinates next 30. This line will represent the displacement that occurs at each of the sections labeled in the first line. Best wishes. If the motion of the follower were a straight line, Figure 6-11a,b,c, it would have equal displacements This will represent the centerline of the cam. This will be the cam lobe. (6) Draw the cam profile for following conditions: Follower type = knife edged follower, in line; lift = 30mm; base circle radius = 20mm; out stroke with uniform velocity in 1200 of cam rotation; dwell for 600; return stroke with uniform velocity, during 900 of cam rotation; dwell for the remaining period. Label the axes with the time units and displacement units, respectively. Add details to the cam design such as slots, holes, and screws. When the motion of the follower is along an axis p Finally, add any final details and clean up any unwanted lines to achieve a finished look. Start by drawing a vertical line representing the displacement (x) of the mass on the spring. Displacement diagram (1) Draw the cam profile for following conditions: Follower type = Knife edged, in-line; lift = 50mm; base circle radius = 50mm; out stroke with SHM, for 600 cam rotation; dwell for 450 cam rotation; return stroke with SHM, for 900 cam rotation; dwell for the remaining period. Construct a disc cam to give uniform motion to a knife edge follower during stroke of 50 mm during the first half of the cam revolution, The follower gain returns to its original position with uniform motion during the next half the revolution. This will be the button line. speed Start up the engine, turn off the idle control, and verify that the EDG is operating properly. Where rapid changes in direction occur, or where there is uncertainty regarding the position of the profile, more points can be plotted at 10 or 15 intervals. Draw a dotted line or curved arrows to represent the motion of the roller. Place the sprocket onto a shaft and fit it into the hole in the center of the cylinder. Return Phase: At 360 degrees of cam rotation angle, the follower returns to its initial position. Use a computer-aided design (CAD) program to design and draw the cam. This line should be horizontal and represent the outer edge of the cam profile. Start the outline at the center of the cam and draw outwards in a circular shape that is slightly uneven. Measure and cut the roller to the appropriate size for the profile. Draw a line from the centerline to the end of the offset line. design influence the motion of the follower. 24.5 where the graph is a sine curve. This will be the cam shaft. Follower Question: Design the cam profile to raise the point follower from A to B (2 inches) with gravitational (uniform acceleration for 1 in. What would be the expressions for its velocity and acceleration? 210, the follower is offset by 20 mm from the axis Mark the position of the widest point of contact. 1 Draw the cam graph, but note that for the first part of the motion the semi-circle is divided into six parts, and that for the second part it is divided into four parts. ower (the driven element), and the frame (the su Plate cam, rotating clockwise. G H Cam profile: Draw base circle and prime circle. The cam follower must rise outward 1.0 inch with constant velocity in 3.0 seconds, dwell for 0.5 seconds, fall with constant velocity 2.0 seconds, and then repeat the sequence. 0-120, follower rises 30 mm with uniform velocity (modified). ines the shape of the cam. the motion of the follower is along an axis away from t high acceleration at Record the data. characteristics of the cam profile. Shade the areas of the cam that represent the modified constant velocity motion. To give the cam a realistic, textured appearance, draw small, curved lines in the shaded area. The follower dwells for the next 90 of ca Draw a second curved line starting at the left mark and ending at the right mark, this line should be offset from the first line by 20 mm.
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cam profile for uniform acceleration and retardation 2023