Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or...

 

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Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or reciprocating motion to rotational motion and vice versa. It is widely used in car's engines, hydraulic pumps. Your role in car's engine manufacturing company is to analyse the displacement, velocity and acceleration diagrams for crankshaft planer mechanism to later find the forces acts of the links to avoid overloading the system. Your manger asked you the provide detailed analysis of the crankshaft planer mechanism shown in Figure.2. 120 mm 50 mm Connecting Rod x(t) OB Crank V() a(t) F() Piston x(t) Reference 170 mm Figure.2: Crankshaft planer mechanism for a car 'engine. If the zero-position r=) at the extreme right as shown in Figure.3, perform the following tasks: 1. Derive a mathematical relation for displacement, velocity and acceleration x(t), v(t) and a(t) of the piston B. 2. Derive a mathematical relation for force F(t) on the piston B by make use of the a(t). 3. Find the acceleration and force of the Piston B when the crank rotational speed is 30 rpm. 200 Displacement 100 angle 100 Velocity -200 100 200 300 400 Figure.3: Diagrams of the vector solutions of velocities and accelerations within planar mechanisms Part.2: Assume a crankshaft is at determined instantons angle and positions as shown Figure.4, HT = الحسين التقنية Al Hussein Technical U A 3000 rpm 200 mm 100 mm 600 B Figure.4: Instantons positions of piston in crankshaft mechanism By make use of trigonometric methodology, you are required to find the following parameters of the planar mechanisms: 1. Find the tangential velocity (VA)o 2. Construct diagrams to show, the rotational motion (tangential velocity vector OA) of link OA, combined rotational and translational motions (relative tangential velocity AB) of link AB, and the pure translational motion of Piston B. 3. On the previous velocity vector diagram, use sine and cosine rules to find the necessary angels and vector magnitudes. 4. Find the tangential velocity (V3)A and then find the angular velocity of link AB, WAB 5. Find the translation velocity of the piston, (V). Crankshaft mechanism is one of the most important mechanical system used to convert translational motion or reciprocating motion to rotational motion and vice versa. It is widely used in car's engines, hydraulic pumps. Your role in car's engine manufacturing company is to analyse the displacement, velocity and acceleration diagrams for crankshaft planer mechanism to later find the forces acts of the links to avoid overloading the system. Your manger asked you the provide detailed analysis of the crankshaft planer mechanism shown in Figure.2. 120 mm 50 mm Connecting Rod x(t) OB Crank V() a(t) F() Piston x(t) Reference 170 mm Figure.2: Crankshaft planer mechanism for a car 'engine. If the zero-position r=) at the extreme right as shown in Figure.3, perform the following tasks: 1. Derive a mathematical relation for displacement, velocity and acceleration x(t), v(t) and a(t) of the piston B. 2. Derive a mathematical relation for force F(t) on the piston B by make use of the a(t). 3. Find the acceleration and force of the Piston B when the crank rotational speed is 30 rpm. 200 Displacement 100 angle 100 Velocity -200 100 200 300 400 Figure.3: Diagrams of the vector solutions of velocities and accelerations within planar mechanisms Part.2: Assume a crankshaft is at determined instantons angle and positions as shown Figure.4, HT = الحسين التقنية Al Hussein Technical U A 3000 rpm 200 mm 100 mm 600 B Figure.4: Instantons positions of piston in crankshaft mechanism By make use of trigonometric methodology, you are required to find the following parameters of the planar mechanisms: 1. Find the tangential velocity (VA)o 2. Construct diagrams to show, the rotational motion (tangential velocity vector OA) of link OA, combined rotational and translational motions (relative tangential velocity AB) of link AB, and the pure translational motion of Piston B. 3. On the previous velocity vector diagram, use sine and cosine rules to find the necessary angels and vector magnitudes. 4. Find the tangential velocity (V3)A and then find the angular velocity of link AB, WAB 5. Find the translation velocity of the piston, (V).