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How to Introduce Nonlinear Flexible Bodies in Multibody Dynamics?

How to Introduce Nonlinear Flexible Bodies in Multibody Dynamics?


NAFEMS wishes to commission an author to the publication “How to Introduce Nonlinear Flexible Bodies in Multibody Dynamics”.

This book aims to provide simulation engineers with the technical insights necessary to incorporate general-purpose, nonlinear, flexible bodies into multibody dynamics (MBD) simulations. These enhancements allow for the efficient modelling and analysis of systems where deformation influences motion, blending the strengths of MBD with nonlinear finite element analysis (FEA) to handle larger systems of deformable bodies.

Intended Readership

The target audience includes simulation engineers involved in the product development phase of systems comprising moving bodies where flexibility and deformation are critical. This publication will guide readers through best practices and theoretical foundations for the effective application of FEA models to MBD simulations, with a focus on real-world industrial applications.


The publication will cover a range of topics designed to equip engineers with the necessary knowledge to implement nonlinear flexible bodies in MBD models:

  • Introduction to Nonlinear Flexible Bodies in MBD: Exploring the value and purpose of integrating flexibility into MBD,
  • Brief theoretical introduction to Rigid MBD,
  • Brief theoretical introduction to FEM, discussion on linear and nonlinear FEM,
  • FEM for MBD: Exploration of global elements and reference frame elements suitable for integration with MBD,
  • Discussion on modally reduced bodies and the simplification of equations of motion they offer,
  • Connecting Flexible Bodies to MBD: Techniques for distributing connection forces and implementing connection elements,
  • Coupling MBD and FE Simulations: Comparative analysis of monolithic equations versus co-simulation methods.


The document should confirm to the standard NAFEMS publication template (provided upon contract award). The anticipated length of the publication is between 80-100 A5 pages.


The total cost is not expected to exceed £8000 (GBP), and it is expected that the document will be completed within 12 months from NAFEMS approval.

Guidance for Proposals

Each proposal should consist of:

  • The proposed structure of the document with the titles of the sections to be developed,
  • Work plan including milestones and interim deliveries for early review,
  • Cost,
  • The authors' credentials, curriculum vitae, etc. (Proposals from single authors and consortia will be considered.),
  • The PSE competencies that the publication is anticipated to address. Review the competency area Multibody Dynamics. Contact to obtain access.


All proposals should be sent to NAFEMS at to arrive no later than 1st of September 2024.