Answer to Question #264528 in Mechanical Engineering for Suraj

Question

Determine the chebyshev spacing for function y = log 10 X for the range 1≤ X ≤10 where three precision positions are required . Determine θ 2 , θ 3 and θ 2 , θ 3 if 45ᶿ is starting position and 105ᶿ is finishing position of input link and 135ᶿ is starting position and 225ᶿ is finishing position of output link.

Answer 1

The Freudenstein equation results from an analytical approach towards analysis and design of four-link mechanisms which, along with its variants, are present in a large number of machines used in daily life. ... One of the first well-known examples of a mechanism is the Watt's straight-line linkage.

Chebyshev spacing:

Chebyshev noted that the best linkage approximation of a given mechanism to any function occurs when the absolute value of the maximum structural error between the precision points and both ends of the range are equalized. Chebyshev's spacing of precision points is employed to minimize the structural error