Multibody Dynamics and Contact Mechanics
Summary
Multibody dynamics and contact mechanics form an integrated discipline concerned with the motion, interaction and forces of interconnected rigid or flexible bodies. At its core, this field seeks to characterise how assemblies of links, joints and connectors behave under applied loads, with special emphasis on events when bodies collide, slide or press against one another. Modern approaches combine analytical formulations of Newton–Euler or Lagrangian dynamics with advanced numerical integration schemes to capture both smooth motion and abrupt interactions. Contact mechanics brings in models of surface deformation, energy dissipation and frictional resistance, enriching the dynamic description of mechanisms from robotic manipulators and vehicle suspensions to biomechanical systems and aerospace structures. Together, these methods provide virtual prototyping tools that accelerate design, improve durability and enable real-time simulation for control and operator training. Recent advances have focused on coupling multibody formulations with other physical domains, refining contact algorithms for large-scale systems and embedding uncertainty quantification to ensure predictive reliability in complex, real-world applications.
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Multibody Dynamics and Contact Mechanics publication trend
The graph below shows the total number of articles in multibody dynamics and contact mechanics across all publications each year (not limited to Nature Index journals).
Technical terms
Multibody dynamics: The study of interconnected bodies in motion under constraints, using Newtonian or Lagrangian formulations.
Contact mechanics: The analysis of forces, deformations and energy exchanges when two or more bodies come into contact or impact.
Penalty method: A compliance-based contact modelling approach that imposes interpenetration penalties to approximate rigid contact.
Coefficient of restitution: A dimensionless parameter quantifying energy loss in a collision, defined as the ratio of relative speeds after and before impact.
Co-simulation: A modular simulation strategy that couples different solvers (e.g. mechanical and hydraulic) via discrete data exchanges at synchronized time points.
References
- Nonlinear phenomena of contact in multibody systems dynamics: a review. Nonlinear Dynamics (2021).
- On the cosimulation of multibody systems and hydraulic dynamics. Multibody System Dynamics (2020).
- Deformable Terrain Model for the Real-Time Multibody Simulation of a Tractor With a Hydraulically Driven Front-Loader. IEEE Access (2019).
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