8/19/2019 Prof Salil Kulkarni

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Topic: Development of Model Order Reduction Techniques for Flexible Multibody

Simulations

Faculy: Salil S. ul!arni

Most practical engineering problems such as flexible multibody dynamics, vibration and

acoustic systems, molecular dynamics, microelectromechanical systems(MEMS) are complex

in nature which involve complicated domains, loads and nonlinearities. The finite element

method (EM) is probably the most popular numerical techni!ue used for solving such

complicated problems because of its versatile nature. The general approach in EM is to

discreti"e the domain into finite elements and by using appropriate approximations, the

governing partial differential e!uation is converted into algebraic form (in the case of static

problems) or ordinary differential e!uations (in the case of dynamic problems), to get the

solution of the problem. The dynamic analysis of such complex problems increases the

computational cost which in turn increases the overall design cost. The main ob#ective of

model order reduction is to reduce the computational cost of the solution by constructing low

dimensional approximations which do not lead to significant loss in accuracy and yet,

preserve the essential properties of the original complex model.

The current pro#ect deals with developing reduced order models for carrying flexible multibody

simulations. $ typical example of a multi%body is the slider cran& mechanism shown below'

source' https'en.wi&ipedia.orgwi&iMultibodysystem

These reduced order models will be particularly be useful in the filed of robotics where they

can not only be used for design and analysis but also be coupled with the control system.

The pro#ect will be analytical and computational in nature. or additional details, you can meet

me (*oom ME+-, Mechanical Engineering uilding, //T%ombay) or send me an email'

salil.&ul&arni0iitb.ac.in