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Research Papers

Modeling of Revolute Joints in Topology Optimization of Flexible Multibody Systems

[+] Author and Article Information
Ali Moghadasi

Institute of Mechanics and Ocean Engineering,
Hamburg University of Technology,
Eißendorfer Straße 42,
Hamburg 21073, Germany
e-mail: ali.moghadasi@tuhh.de

Alexander Held

Institute of Mechanics and Ocean Engineering,
Hamburg University of Technology,
Eißendorfer Straße 42,
Hamburg 21073, Germany
e-mail: alexander.held@tuhh.de

Robert Seifried

Institute of Mechanics and Ocean Engineering,
Hamburg University of Technology,
Eißendorfer Straße 42,
Hamburg 21073, Germany
e-mail: robert.seifried@tuhh.de

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received April 11, 2016; final manuscript received June 23, 2016; published online September 9, 2016. Assoc. Editor: José L. Escalona.

J. Comput. Nonlinear Dynam 12(1), 011015 (Sep 09, 2016) (8 pages) Paper No: CND-16-1189; doi: 10.1115/1.4034125 History: Received April 11, 2016; Revised June 23, 2016

In recent years, topology optimization has been used for optimizing members of flexible multibody systems to enhance their performance. Here, an extension to existing topology optimization schemes for flexible multibody systems is presented in which a more accurate model of revolute joints and bearing domains is included. This extension is of special interest since a connection between flexible members in a multibody system using revolute joints is seen in many applications. Moreover, the modeling accuracy of the bearing area is shown to be influential on the shape of the optimized structure. In this work, the flexible bodies are incorporated in the multibody simulation using the floating frame of reference formulation, and their elastic deformation is approximated using global shape functions calculated in the model order reduction analysis. The modeling of revolute joints using Hertzian contact law is incorporated in this framework by introducing a corrector load in the bearing model. Furthermore, an application example of a flexible multibody system with revolute joints is optimized for minimum value of compliance, and a comparative study of the optimization result is performed with an equivalent system which is modeled with nonlinear finite elements.

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Figures

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Fig. 1

Schematic of steps in topology optimization of flexible multibody systems using the floating frame of reference formulation

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Fig. 2

Revolute joint modeled with truss elements

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Fig. 3

Von Mises Stress distribution (MPa) in the constrained joint with (a) linear truss elements, (b) gap elements, and (c) preloaded truss elements

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Fig. 4

Revolute joint with clearance

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Fig. 5

Von Mises Stress distribution (MPa) in the constrained joint with (a) static contact simulation using full nonlinear FE model and (b) contact simulation using proposed approach based on Hertzian contact law

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Fig. 6

Magnitude of nodal displacement (μm) in the constrained joint

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Fig. 7

Magnitude of nodal displacement (μm) in the constrained joint with (a) static contact simulation using full nonlinear FE model and (b) contact simulation using Hertzian contact

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Fig. 8

Schematic view of the flexible slider–crank mechanism

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Fig. 9

Optimized structures with different joint models. (a) Joints modeled with rigid bearing domain, (b) Joints modeled with rigid bearing ring, (c) Joints modeled with preloaded truss elements, and (d) Modified joint model with correction loads.

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Fig. 10

Comparison of sliding mass deviation (top) and the compliance (bottom) using floating frame of reference approach (FFoR) and nonlinear finite element (nonlin)

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Fig. 11

Optimized design of bearing domain using floating frame of reference approach (FFoR) and nonlinear finite element (nonlin)

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