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monty37
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can the motion of a piston be considered simple harmonic,being periodic in nature?in*case of a reciprocating engine.
monty37 said:but simple harmonic motion does not necessarily mean sinusoidal,the piston for every stroke moves up and down ,this is a continuous process,why should it not be SHM? please explain the infinitely long connecting rod as well.
Ranger Mike said:the piston has a finite dwell time ( in crankshaft degrees) at top dead center as verified with a degree wheel when properly installing a cam shaft..in other words , the piston " stops moving" for a short period of time ( number of crankshaft degrees) while at TDC
Simple harmonic motion is a type of periodic motion in which an object oscillates back and forth around a central equilibrium point, with a force that is directly proportional to its displacement from that point.
A piston can be considered to undergo simple harmonic motion when it moves in a straight line within a cylinder due to the force of gas or liquid pressure acting on it.
The main characteristics of simple harmonic motion include a constant period (or time for one complete cycle), a sinusoidal displacement graph, and a restoring force that is directly proportional to displacement.
The equation for simple harmonic motion is x = A*cos(ωt + φ), where x is the displacement, A is the amplitude (maximum displacement), ω is the angular frequency (2π/T), and φ is the phase constant (initial displacement at t = 0).
The motion of a piston is considered simple harmonic if it follows the characteristics of simple harmonic motion, such as a constant period, sinusoidal displacement, and a restoring force directly proportional to displacement.