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Linkage KinematicsAll functions are free

Linkage Kinematics

calculates the trajectory, speed and assembly range of four-rod and additional two-link branches.

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ideal rigid plane hinge; the six-rod mode is a fixed-fulcrum two-link branch chain driven by four-rod coupling points. Non-dynamic/collision solver.

Linkage Kinematics: uses and methods

calculates the trajectory, speed and assembly range of four-rod and additional two-link branches.

Applicable scope and calculation boundary

ideal rigid plane hinge; the six-rod mode is a fixed-fulcrum two-link branch chain driven by four-rod coupling points. Non-dynamic/collision solver.

model and reference method

Circle-circle intersection closed-loop constraint; angle continuous branch tracking.

model version: 1.0.0. The results are used for scientific research, exploration and teaching, please interpret according to the model conditions.

input parameters

Organization
four-bar mechanism / six-rod branch chain The
rack length The(mm)
Value range: 1 – 1000
crank length(mm)
Value range: 1 – 1000
connecting rod length(mm)
Value range: 1 – 1000
rocker length(mm)
Value range: 1 – 1000
drive angular speed(rad/s)
Value range: 0.01 – 100
branch chain rod length (two rods are equal in length)(mm)
Value range: 1 – 1000

How to use

  1. Load the example or enter data that matches the field description.
  2. Confirm units and models, run calculations and check diagnostics.
  3. Export charts, tables or results packages and record model versions.

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FROM SCIENCE TO PRACTICE

commercial application case

Industry Application · Independent Reproduction Example

Automation equipment linkage motion calibration

Packaging equipment designers check whether the four-bar mechanism can complete the specified reciprocating motion.

Public industry reference: MathWorks · Simscape Multibody

Simscape Multibody provides modeling and simulation of multi-body mechanical systems.

View product or organization original information

on this site

  1. input rod length
  2. Sweep input angle
  3. Check the coupling point trajectory and non-assemblyable area

Deliverables

motion trajectory and geometric state, used for mechanism preliminary selection

needs to be checked before landing

plane rigid body geometric analysis does not include elasticity, contact, friction and dynamic loads。

case is compiled for public industry purposes, and the reproduction steps are independent examples of this site; it does not mean that the above-mentioned institutions use or endorse this site, nor does it cite customer benefits that have not been publicly verified. The

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recommended by universities and research institutions

Mechanical Engineering

The following is the recommended reading order of this website organized by direction relevance, public research resources and learning portals. The number is the serial number recommended by the editor, not QS, THE or paper measurement ranking; it does not represent the overall strength of the institution.

  1. 01

    MIT · Department of Mechanical Engineering

    United States The

    Mechanism design, robotics, mechanics and manufacturing。

    official website link accessibility check: 2026-10-03
  2. 02

    ETH Zürich · Department of Mechanical and Process Engineering

    Switzerland

    Robots, Mechanical Systems and Computational Mechanics。

    official website link accessibility check: 2026-10-03
  3. 03

    Fraunhofer IPA

    Germany

    Industrial automation, production engineering and robot transformation The。

    official website link accessibility check: 2026-10-03

catalog compiled on 2026-10-03. Link accessibility does not equate to verification of the latest papers, admissions, or program status; please check the institution's official website for specific research teams and opportunities.

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