MATLAB and Simulink for Kinematics and Dynamics

Academics use MATLAB and Simulink to enhance instruction in core mechanical engineering topics and facilitate research developments in robotics, mechatronics, and the design of complex mechanisms.

With MATLAB and Simulink, academics can:

  • Elevate teaching of fundamental topics in kinetics, kinematics, and dynamics
  • Extend the reach of their analytical and experimental methods by using computational tools
  • Expand from fundamental physical phenomena to applied real-world applications in robotics and mechatronics
  • Integrate virtual and physical labs to facilitate the experimental learning of mechanical systems
Four-legged robot running, as well as the underlying mechanical system in Simscape Multibody.

From Kinematics and Dynamics to Robotics and Mechatronics

Enhance Kinematics and Dynamics Education

Use MATLAB Live Editor and its apps to teach concepts in kinematics and dynamics. Offer a focused, organized learning space by combining descriptive explanations, symbolic derivation and analysis, numerical implementation, and visualization of results. Enable students to analyze and visualize system behavior across various parameters and conditions using interactive controls—helping them develop engineering intuition through computational thinking.

Analytical Solutions of System Kinematics and Dynamics

Derive and evaluate analytical solutions to equations of motion with Symbolic Math Toolbox. The closed-form solutions of canonical systems provide a deeper understanding for system behaviors. Export these solutions as numerical implementations in MATLAB and Simulink, or use them for verification and validation of other computational methods.

Kinematics and Dynamics for Robotic Systems

Design, simulate, test, and deploy manipulators and mobile robots with Robotics System Toolbox. For manipulators, the toolbox includes algorithms for collision checking, path planning, trajectory generation, forward and inverse kinematics, and dynamics using a rigid body tree representation. For mobile robots, it includes algorithms for mapping, localization, path planning, path following, and motion control.

Discover additional MATLAB and Simulink products and workflows for Robotics Education.

Multibody Simulation and Visualization  

Simscape Multibody offers a comprehensive multibody simulation environment for 3D mechanical systems, including robots, vehicle suspensions, construction equipment, and aircraft landing gear. Model multibody systems using blocks representing bodies, joints, constraints, force elements, and sensors.

Simscape Multibody formulates and solves the equations of motion for the complete mechanical system. Import complete CAD assemblies, including all masses, inertias, joints, constraints, and 3D geometry, into your model. Visualize the system dynamics using automatically generated 3D animations.

Virtual and Physical Labs

Virtual labs connect fundamental learning and applications to real-world mechanisms. Leverage 3D visualizations to replicate physical experiments in class, making hands-on learning accessible to everyone. Guide students to explore various scenarios, deepening their understanding of the system behavior and underlying physics in a safe and controlled environment before working with physical experiments. Have students compare and contrast the system responses to reinforce learning.

Design and Implement Complex Mechanisms

Complex mechanisms in real-world applications often involve control systems and extensive integration of software and hardware. Integrate mechanical, electrical, and software components in engineered systems using the extended capabilities of MATLAB and Simulink for control system design, multidomain physical modeling, and hardware implementation.