Roymech engineering encyclopedia

Mechanical Mechanisms – Motion, Indexing and Force Transmission


Mechanical mechanisms are assemblies of components arranged to transmit or transform motion and force to perform a required function within a machine. They can convert rotary motion to linear movement, produce intermittent or oscillating motion, reverse direction, provide mechanical advantage, locate or clamp components, and generate required paths.

This section provides an overview of common mechanism types together with links to the detailed RoyMech references for ratchets, escapements, indexing, rocking and reciprocating mechanisms.

Not sure which mechanism to use? See the Mechanism Help and Selection Guide for guidance on choosing between ratchets, escapements, indexing, reciprocating and rocking mechanisms, cams and linkages.

Mechanism Engineering References

Ratchet Mechanisms

Pawl ratchets, sprag clutches and other arrangements for one-way motion, incremental movement and mechanical indexing.

Ratchet Mechanisms

Escapement Mechanisms

Inverse, true, runaway and tuned escapements for timing, intermittent motion and controlled release of stored mechanical energy.

Escapement Mechanisms

Indexing Mechanisms

Geneva mechanisms, mutilated gears, cycloidal arrangements, star wheels and cam systems for intermittent rotary positioning.

Indexing Mechanisms

Rocking and Oscillating Mechanisms

Crank-rocker linkages, rack and gear systems, quick-return linkages and cam-operated mechanisms producing angular oscillation.

Rocking Mechanisms

Reciprocating Mechanisms

Scotch yokes, slider-cranks, shaper mechanisms and Whitworth quick-return linkages for repeated linear motion.

Reciprocating Mechanisms

Cam and Follower Mechanisms

Cam types, followers and motion relationships for mechanisms requiring specifically controlled displacement, rise, return and dwell.

Cam and Follower Mechanisms

Introduction to Mechanisms

There is an enormous range of possible mechanical mechanisms. Selection is normally based on the function required, the available input motion and the desired output displacement, force, speed and timing.

The classifications below are functional and broadly follow the approach used in Theory of Machines and Mechanisms by Uicker, Pennock and Shigley. They provide a practical way of identifying candidate mechanisms rather than a rigid theoretical classification.

For mechanisms based principally on connected rigid links, see the separate RoyMech Linkages reference.

Mechanical Mechanisms and Controlled Motion

Traditional mechanisms generally provide a fixed geometric relationship between input and output. Once manufactured, a cam, linkage or gear mechanism will repeatedly produce substantially the same motion for a given input. This can provide a compact, reliable and predictable solution for high-cycle machinery.

Modern machinery can alternatively generate motion using servo motors, electric linear actuators, hydraulic or pneumatic systems and electronic control. These systems allow displacement, speed and timing to be altered without physically changing the mechanism.

The choice is therefore not simply between old and new technology. Dedicated mechanisms remain useful where a repeated mechanical relationship, simplicity, synchronisation or high cycle life is required, while controlled actuators are particularly useful where motion profiles or operating sequences must be changed.

Classification of Mechanisms

Function Typical Mechanisms
Snap action Toggle and bistable mechanisms
Linear actuation Power screws, hydraulic and pneumatic cylinders
Fine adjustment Screws, differential screws, gears and cams
Clamping Screw, lever, toggle and cam clamps
Location Jigs, fixtures and locating devices
One-way motion Ratchets and one-way clutches
Controlled energy release Escapements
Intermittent positioning Indexing mechanisms
Angular oscillation Rocking mechanisms
Linear reciprocation Reciprocating mechanisms
Motion reversal Gears, racks, linkages and directional drives
Rotational connection Couplings and connectors
Sliding connection Links, racks, gears, chains and fluid systems
Stop and dwell Cams and indexing mechanisms
Curve generation Four-bar and other linkages
Straight-line generation Whitworth, Roberts and Chebyshev linkages
Tracing and scaling Pantograph mechanisms

Snap-Action Mechanisms

Snap-action mechanisms include toggle and bistable arrangements that move rapidly between stable or limiting positions after passing through a critical geometric condition.

They are used in devices ranging from mechanical switches to clamps and latching systems.

Toggle snap-action mechanism

Linear Actuators

Linear actuators convert supplied mechanical, electrical or fluid power into controlled straight-line movement.

Stationary Screw with Rotating Nut

A stationary screw and rotating nut can provide linear translation with high mechanical advantage. Applications include machine-tool traverses, jacks and valve operating mechanisms.

Stationary Nut with Rotating Screw

Alternatively, the nut may be fixed while the screw rotates and translates. This principle is widely used in power-screw actuators, jacks and valve drives.

For screw selection, torque, efficiency and strength calculations see the RoyMech Power Screws reference.

Hydraulic and Pneumatic Cylinders

Single- and double-acting hydraulic and pneumatic cylinders provide direct linear actuation. Fluid pressure acting on the effective piston area generates the output force, while valves control direction and movement.

Hydraulic systems are particularly suited to high-force applications, while pneumatic systems are widely used for relatively simple and rapid machine actuation.

Fine Adjustment Mechanisms

Fine-adjustment mechanisms produce a relatively small output movement from a larger or more convenient input movement. Common arrangements use screws, differential screws, gears or cams.

The mechanism shown below provides a small linear carriage movement from rotation of the input shaft. The original example gives approximately 0.5 mm of carriage movement per input revolution.

Fine adjustment screw mechanism producing small linear carriage movement

Clamping Mechanisms

Clamping mechanisms apply and retain force to hold a component in position. Typical examples include toolmaker's clamps, G-clamps, screw clamps, toggle clamps and cam-operated clamps.

Two fundamental requirements are:

  • generating sufficient clamping force; and
  • maintaining that force after the operating input has been removed or released.
Toolmaker's screw clamp
Toolmaker's Clamp
G-clamp screw clamping mechanism
G-Clamp
Toggle clamping mechanism
Toggle Clamp
Cam-operated clamping mechanism
Cam Clamp
Horizontal in-line toggle clamp
Horizontal In-Line Toggle Clamp
Vertical toggle clamp
Vertical Toggle Clamp

Toggle clamps obtain high mechanical advantage as the linkage approaches its over-centre condition. Practical design should also consider stiffness, deflection, friction, wear and the consequences of accidental release.

Location Devices

Location devices position, align or centralise components before machining, assembly, inspection or another operation. Jigs and fixtures commonly combine locating features with separate clamping elements.

The location system should constrain the required degrees of freedom without introducing unnecessary or conflicting constraints.

Ratchet Mechanisms

Ratchets permit or control movement in one direction while preventing or resisting reverse movement. They can also produce incremental movement from oscillating input.

RoyMech covers pawl ratchets, sprag clutches, spring-blade, cam-driven, friction and magnetic arrangements on the dedicated reference page.

Ratchet Mechanisms

Escapement Mechanisms

Escapements control intermittent movement or the release of stored mechanical energy. Horological escapements regulate mechanical clocks, while related principles can be applied to counters, timers and machine indexing systems.

Escapement Mechanisms

Indexing Mechanisms

Indexing mechanisms produce a sequence of controlled movements separated by dwell periods. Typical arrangements include Geneva drives, mutilated gears, cycloidal mechanisms, star wheels and cam indexers.

Indexing Mechanisms

Rocking and Oscillating Mechanisms

Rocking mechanisms produce repeated angular movement between limiting positions rather than continuous rotation. Examples include crank-rocker linkages, rack-and-gear systems and cam-operated rockers.

Rocking and Oscillating Mechanisms

Reciprocating Mechanisms

Reciprocating mechanisms produce repeated straight-line movement. Mechanical examples include Scotch yokes, slider-cranks and quick-return mechanisms.

Reciprocating Mechanisms

Reversing Mechanisms

Direction reversal can be obtained mechanically using gears, racks or linkages, or by reversing the direction of an electric or fluid-power actuator.

Reverse linear motion using two racks and a pinion
Two Racks and Pinion
Reverse rotational motion using two pinions
Two-Pinion Reversal
Reverse linear motion using a linkage
Linkage Reversal

Hydraulic and pneumatic systems can reverse direction using suitable directional-control valves. Mechanical drive systems may use clutches or alternative gear paths to select between opposite directions.

Where reversal occurs while components are moving, the inertia of the driven system and the resulting transient loads must be considered. Direction reversal should not be treated purely as a kinematic problem.

Rotational Couplings and Connectors

Rotary motion can be transmitted between coaxial, parallel, intersecting or other shaft arrangements using couplings, gears, belts, chains and specialised link mechanisms.

A conventional shaft coupling primarily connects nominally coaxial shafts. Selection depends on transmitted torque, rotational speed, required stiffness and the angular, parallel or axial misalignment that must be accommodated.

Gears can transfer rotation between a variety of shaft arrangements while also changing speed, torque and direction. Belt drives permit greater shaft separation and can accommodate arrangements that would be inconvenient for direct gearing. Chain drives provide positive engagement without the normal slip associated with friction belt drives.

Two geometrical coupling arrangements are illustrated below.

Universal joint coupling between intersecting shafts
Universal Coupling
Reuleaux coupling mechanism
Reuleaux Coupling

A single universal joint operating at an angle does not generally transmit uniform output angular velocity when the input rotates uniformly. Where constant-velocity transmission is important, the complete coupling geometry must therefore be considered.

Sliding Connectors

Sliding connectors transfer movement between translating members, often where the two sliders move in different directions or along different axes.

Possible arrangements include:

  • rigid links connected to the sliders through pivots;
  • belts, chains or guided push-pull chains;
  • racks connected through one or more gears;
  • flexible mechanical drive systems; and
  • hydraulic or pneumatic coupling.
Sliding linkage connecting two translating members
Sliding Linkage Connection
Sliding connection using racks and pinions
Rack and Pinion Sliding Connection

Stop and Dwell Mechanisms

Some machine operations require an output component to move, stop for part of the operating cycle, and then move again.

Cams provide one method because a cam profile can incorporate defined rise, dwell and return regions. Indexing mechanisms can similarly provide movement followed by a stationary dwell.

An engine valve train is a familiar example of a cam-controlled system in which valve displacement varies through the operating cycle and includes periods during which the valve remains closed.

See the Cam and Follower Mechanisms and Indexing Mechanisms references.

Curve Generators

Four-bar linkages can generate a very wide range of coupler-point paths by changing the link lengths, fixed-pivot positions and the location of the selected point on the coupler.

The moving pivots connected directly to fixed pivots necessarily follow circular paths. Points on the coupler link can, however, follow much more complex curves.

Modern servo-controlled systems can generate programmable paths, but a dedicated mechanical linkage can remain attractive where a fixed path must be repeated mechanically over many cycles.

Straight-Line Generators

Where a true straight-line constraint is required, a physical linear guide or slideway is normally the direct solution. Historically, however, numerous linkages were developed to approximate straight-line motion without a slideway.

Examples include the Whitworth, Roberts and Chebyshev straight-line mechanisms illustrated below.

Whitworth approximate straight-line linkage
Whitworth Straight-Line Mechanism
Roberts approximate straight-line linkage
Roberts Straight-Line Mechanism
Chebyshev approximate straight-line linkage
Chebyshev Straight-Line Mechanism

These mechanisms approximate a straight line over a selected portion of their motion. The quality and usable length of the approximation depend on the linkage proportions.

Pantograph – Tracing and Scaling Mechanism

A pantograph is a linkage used to reproduce the movement of one point at a different scale.

In the arrangement illustrated below, movement of point P is reproduced at point P'. The linkage uses parallelogram geometry so that corresponding points maintain the required geometric relationship as the mechanism moves.

Pantograph linkage for tracing and scaling a path

Depending on the relative pivot and tracing-point positions, a pantograph can enlarge or reduce the reproduced movement.

Choosing a Mechanism

If You Need... Consider...
One-way movement Ratchet or one-way clutch
Intermittent rotary positioning Geneva, star wheel, cam indexer or other indexing mechanism
Controlled release of stored mechanical energy Escapement
Repeated linear movement Slider-crank, Scotch yoke, cam or linear actuator
Repeated angular oscillation Crank-rocker, rack and gear or cam-operated rocker
Unequal forward and return times Quick-return mechanism
Precisely defined displacement and dwell Cam mechanism
High mechanical advantage for linear movement Power screw or fluid-power actuator
High clamping force with short operating movement Toggle, screw or cam clamp
Fixed geometric path generation Linkage
Programmable motion Servo, electric, hydraulic or pneumatic controlled actuator

For a fuller selection process, including comparisons between similar mechanisms, see the Mechanism Help and Selection Guide.

Related RoyMech References

External Mechanism References

  1. Brock Engineering – Virtual Mechanisms – mechanism notes and graphics.
  2. D&T Online – review of different mechanism types.
  3. Four-Bar Linkage Analysis and Synthesis – four-bar linkage analysis material.
  4. Technology Student – Mechanisms – examples and animations of simple mechanisms.
  5. Introduction to Mechanisms – mechanism reference material.
  6. Animated Indexing Mechanisms – animated examples of mechanism operation.