Roymech engineering encyclopedia

Rocking and Oscillating Mechanisms


Rocking or oscillating mechanisms produce repeated angular movement of a link or shaft between two limiting positions rather than continuous rotation. The angular movement is normally less than one complete revolution and reverses direction during each operating cycle.

Need help choosing a mechanism? See the Mechanism Help and Selection Guide for guidance on ratchets, escapements, indexing, reciprocating and rocking mechanisms, cams and linkages, and selecting the appropriate RoyMech engineering reference.

Rocking motion can be generated from continuous rotary input by several mechanical arrangements. Common methods include four-bar crank-rocker linkages, rack and gear systems, slotted-link quick-return mechanisms and cam-operated followers.

Methods of Producing Rocking Motion

Mechanism Input Output Principal Characteristic
Rack and gear Rotary crank Oscillating gear or shaft Converts reciprocating rack movement into angular oscillation
Crank-rocker linkage Continuous rotation Rocking link Simple four-bar mechanism with motion determined by link geometry
Quick-return linkage Continuous rotation Oscillating link Different times or input angles for forward and return strokes
Cam and follower Continuous cam rotation Rocking follower Output motion can be tailored through the cam profile

Rack and Gear Rocking Mechanism

The mechanism illustrated below uses a rotating crank (b) connected to a toothed rack (c). The reciprocating movement of the rack drives gear (d) alternately in opposite directions, producing a rocking or oscillating rotary output.

The angular movement of the output gear depends on the rack displacement and the pitch radius of the gear. The crank and connecting geometry determine the variation of rack displacement and velocity through the operating cycle.

Rack and gear mechanism converting crank rotation into oscillating rotary motion
Rack and Gear Rocking Mechanism

Crank-Rocker Mechanism

A crank-rocker is a form of four-bar linkage. The fixed frame forms one link, while the remaining three moving links form the crank, coupler and rocker.

In the arrangement shown below, continuous rotation of crank (b) is transmitted through the connecting link and produces an oscillating movement of rocker (d).

The output rocking angle, velocity and acceleration depend on the link lengths and the locations of the fixed pivots. Suitable proportions are required if the input crank is to complete a full revolution while the output link remains a rocker.

Four-bar crank-rocker mechanism converting continuous rotation into oscillating motion
Crank-Rocker Mechanism

Four-bar linkages provide considerable freedom to tailor the relationship between input rotation and output rocking motion. The geometry should therefore be selected for the required angular travel, transmission characteristics and clearance through the complete operating cycle.

Quick-Return Linkage

A quick-return mechanism produces an oscillating output in which the forward and return movements occupy different portions of the input cycle.

In the arrangement below, crank (b) rotates continuously and acts through slider (c) to produce rocking motion of arm (d).

The input crank rotates through a larger angle during one output stroke than during the opposite stroke. At constant input speed, the stroke associated with the larger crank angle therefore takes longer, while the opposite stroke is completed more quickly.

Quick-return linkage producing unequal forward and return rocking stroke times
Quick-Return Linkage

Quick-return mechanisms are particularly useful where useful work occurs during one part of the cycle and the return movement should occupy less time. The required time ratio is determined by the mechanism geometry.

Cam-Operated Rocking Mechanism

A cam can also convert continuous rotary input into oscillating angular motion. In the simplified arrangement shown below, rotation of cam (c) acts through the contact at (b) and causes lever (d) to rock about its pivot.

Cam and follower mechanism producing oscillating motion of a rocker lever
Cam-Operated Rocker

The illustration shows the operating principle only. A practical mechanism requires a means of maintaining the follower in contact with the cam where continuous contact is required. Depending on the application, this may be provided by a spring, gravity, external loading or a positively constrained cam arrangement.

A major advantage of a cam-operated rocker is that the cam profile can be designed to provide a required displacement characteristic, including rise, return and dwell periods. Velocity and acceleration characteristics must also be considered when developing the cam profile.

Selecting a Rocking Mechanism

Requirement Mechanism to Consider
Simple rotary-to-oscillating conversion using gears Rack and gear mechanism
Continuous rotary input with simple rocking output Crank-rocker four-bar linkage
Different forward and return stroke times Quick-return linkage
Precisely tailored rocking displacement and dwell Cam-operated rocker

Rocking Mechanism Design Considerations

Selection should consider more than the required output angle. Important factors include:

  • Required rocking or oscillating angle.
  • Input speed and available driving torque.
  • Required forward and return stroke times.
  • Output torque and external loading.
  • Velocity and acceleration through the operating cycle.
  • Dynamic forces caused by link and load inertia.
  • Transmission angle and mechanical advantage of linkage mechanisms.
  • Backlash and clearance in gears, joints and sliders.
  • Cam-follower contact and the possibility of follower separation.
  • Bearing, pivot and sliding-surface wear.
  • Required operating life and lubrication.

Related RoyMech References

External Mechanism References

  1. Brock Engineering – Mechanism Index – animated examples of mechanical mechanisms.
  2. Technology Student – Mechanisms – examples and animations of simple mechanisms.
  3. Introduction to Mechanisms – mechanism reference material.


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