Computational Dynamics, Inc.

                                            Multibody System Software Development and Consulting


Residency training

In this program, CDI can serve as a subcontractor for major industries by hiring and training engineers who can work at CDI for a certain period mutually agreed upon by the company and CDI.  During this period, the engineer will be an employee of CDI and CDI will be responsible for all the legal arrangements.  Upon completion of the training, the company has the option to extend the CDI employment of the engineer with the understanding that the engineer will work exclusively for the sponsoring company.  During the training period, the engineer supported by the company will be introduced to multibody system (MBS) and/or railroad vehicle simulation tools.  After the training period, the engineer will have the knowledge to better make use of MBS and railroad vehicle computer programs.  He/she will be able to better understand the differences between different simulation packages.


A company can arrange for CDI to offer courses exclusively for its employees at a location specified by the company.  Companies interested in this arrangement can have a point of contact email CDI atcdi@computational-dynamics.comor call the support number listed on this website.

Railroad Vehicle Dynamics. This course covers railroad practical issues as well as computer formulations and algorithms used in the computer simulation of railroad vehicle systems.  The aim of this course is to provide practicing engineers with the necessary background for better interpreting the experimental and simulation results.  The course consists of five lectures, each of which has duration of one and a half hours.  The first lecture covers practical issues in railroad vehicle dynamics including important scenarios that must be understood to better evaluate the experimental and simulation data.  The second lecture provides the foundation necessary to understand the computer formulations used in railroad vehicle dynamics.  The third lecture covers the track geometry.  The fourth lecture deals with the wheel/rail contact and creep forces.  The fifth lecture discusses the MBS computer implementation of the wheel/rail contact formulations. The course also includes a tutorial that explains how MBS railroad vehicles can be used and how to interpret the results obtained using these powerful codes.  The course has a textbook that will be provided as part of the course materials.


Interested engineers can also inquire about courses via email to cdi@computational-dynamics.com


Flexible Multibody System Dynamics. This course focuses on the important topic of flexible MBS dynamics.  It explains how to correctly use both the small deformation floating frame of reference formulation and the large deformation absolute nodal coordinate formulation (ANCF) as well as computational geometry methods such as B-spline and NURBS (Non-Uniform Rational B-Splines).  The course consists of five lectures, each of which has duration of one and a half hours.  The first lecture covers different methods and formulations used in flexible MBS dynamics. The second lecture covers the small deformation problem and introduces the floating frame of reference (FFR) formulation which is used in most commercial MBS computer programs.  The third lecture covers the subject of large deformation and explains the problems encountered when some large deformation finite element formulations are used.  The fourth lecture discusses the important topic of the integration of cmputer aided design and analysis (I-CAD-A).  The fifth lecture covers the numerical methods and algorithms used in flexible MBS dynamics.  The course also includes a tutorial that explains how flexible MBS computer programs can be effectively and correctly used.  This course has a textbook that will be provided as part of the course materials.

Education and training


CDI offers several education and training programs in the areas of multibody system (MBS) dynamics and railroad vehicle dynamics.  These programs include Residency Training and Short Course Offering.  The objective of these programs is to help companies make better use and have better understanding and interpretation of the results of the MBS computer codes being used.


Short courses


Multibody System Dynamics. This five lecture course covers the basic methods used in the development of MBS computer programs.  The course introduces the fundamental concepts and computational algorithms used in the MBS analysis. The course provides an introduction to the subject of MBS dynamics and the mathematical background required to formulate the dynamic equations of motion.  The basic kinematic descriptions used in MBS formulations including the description of the body translations and rotations are covered in one lecture.  The basic methods used in the formulation of the MBS dynamic numerical approaches and computational algorithms used in the computer simulation of MBS application are discussed in another lecture. One lecture of the course provides an introduction to the subject of flexible MBS dynamics.  In addition to the five lectures, the course includes a tutorial explaining how to use MBS software.  This course has a textbook that will be offered as part of the course materials.

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