the number of degree of freedom for plane mechanism is 5.
the number of degree of freedom for plane mechanism is 5.
number of degree of freedom for plane mechanism?
5
the equations of motion (1,2) are represented by means of redundant coordinates, meaning that the coordinates are not independent. this can be exemplified by the slider-crank mechanism shown above, where each body has six degrees of freedom while most of the coordinates are dependent on the motion of the other bodies. for example, 18 coordinates and 17 constraints could be used to describe the motion of the slider-crank with rigid bodies. however, as there is only one degree of freedom, the equation of motion could be also represented by means of one equation and one degree of freedom, using e.g. the angle of the driving link as degree of freedom. the latter formulation has then the minimum number of coordinates in order to describe the motion of the system and can be thus called a minimal coordinates formulation. the transformation of redundant coordinates to minimal coordinates is sometimes cumbersome and only possible in the case of holonomic constraints and without kinematical loops. several algorithms have been developed for the derivation of minimal coordinate equations of motion, to mention only the so-called recursive formulation. the resulting equations are easier to be solved because in the absence of constraint conditions, standard time integration methods can be used to integrate the equations of motion in time. while the reduced system might be solved more efficiently, the transformation of the coordinates might be computationally expensive. in very general multibody system formulations and software systems, redundant coordinates are used in order to make the systems user-friendly and flexible.
multibody system
on the same day that the sealed atmosphere experiment was terminated, 24 april 1960, "triton" experienced a major equipment failure. in the after torpedo room, a hydraulic line to the stern plane mechanism burst. through the prompt action by torpedoman's mate third class allen w. steele, aided by engineman third class arlan f. martin, this potentially catastrophic event was successfully contained. eventually, the main hydraulic system was restored with a control valve from the steering system, but the boat's steering controls remained on emergency mode for the rest of the voyage. it was subsequently determined that the pipe burst was caused by a fractured valve. for his quick and decisive actions in handling this emergency, steele was presented the navy commendation medal.
operation sandblast