Abstract

The structural analysis and optimization of flexible multibody systems become more and more popular due to the ability to efficiently compute gradients using sophisticated approaches such as the adjoint variable method and the adoption of powerful methods from static structural optimization. To drive the improvement of the optimization process, this work addresses the computation of design sensitivities for multibody systems with arbitrarily parameterized rigid and flexible bodies that are modeled using the floating frame of reference formulation. It is shown that it is useful to augment the body describing standard input data files by their design derivatives. In this way, a clear separation can be achieved between the body modeling and parameterization and the system simulation and analysis.

Highlights

  • Analysis and optimization of flexible multibody systems are important steps in the computed-aided design and dimensioning process of dynamic mechanisms

  • In structural optimization, which is the focus of this work, the number of design variables is often large

  • The topology optimization of a flexible slidercrank mechanism presented in [13] utilizes more than 100.000 design variables

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Summary

Introduction

Analysis and optimization of flexible multibody systems are important steps in the computed-aided design and dimensioning process of dynamic mechanisms. In [14, 20], typical examples from optimal control and structural optimization of flexible multibody systems are given and reviewed. One way to determine these gradients is by numerical differentiation. It is a simple and easy-to-implement method, but it suffers from various deficiencies. In structural optimization, which is the focus of this work, the number of design variables is often large. The topology optimization of a flexible slidercrank mechanism presented in [13] utilizes more than 100.000 design variables.

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