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An Algorithm for Structural Topology Optimization of Multibody Systems

Ghandriz, Toheed LU (2014) In Master Thesis in Mathematical Science NUMM11 20142
Mathematics (Faculty of Engineering)
Abstract
Topology Optimization (TO) of static structures with fixed loading is a very interesting topic in structural mechanics that has found many applications in industrial design tasks. The extension of the theory to dynamic loading for designing a Multibody System (MBS) with bodies which are lighter and stronger can be of high interest. The objective of this thesis work is to investigate one of the possible ways of extending the theory of the static structural Topology Optimization to Topology Optimization of dynamical bodies embedded in a Multibody System (TOMBS) with large rotational and transitional motion. The TOMBS is performed for all flexible bodies simultaneously based on the overall system dynamical response. Simulation of the MBS... (More)
Topology Optimization (TO) of static structures with fixed loading is a very interesting topic in structural mechanics that has found many applications in industrial design tasks. The extension of the theory to dynamic loading for designing a Multibody System (MBS) with bodies which are lighter and stronger can be of high interest. The objective of this thesis work is to investigate one of the possible ways of extending the theory of the static structural Topology Optimization to Topology Optimization of dynamical bodies embedded in a Multibody System (TOMBS) with large rotational and transitional motion. The TOMBS is performed for all flexible bodies simultaneously based on the overall system dynamical response. Simulation of the MBS behavior is done using the finite element formalism and modal reduction. A modified formulation of Solid Isometric Material with Penalization (SIMP) method is suggested to avoid numerical instabilities and non-convergence of the optimization algorithm implemented for TOMBS. The nonlinear differential algebraic equation of motion is solved numerically using Backward Differential Formula (BDF) with variable step size in SundialsTB and Assimulo integrators implemented in Matlab and Python. The approach can find many applications in designing vehicle systems, high speed robotic manipulators, airplanes and space structures. Also, to show the current capability of the tools in the industry to design a body under dynamic loading using the multiple static load cases, the lower A-arm of double wishbone suspension system is designed in Abaqus/TOSCA, where, the loads are collected from rigid multibody simulation in Dymola. (Less)
Popular Abstract
In everyday life, people deal with different kinds of mechanical machines and mechanisms. These mechanisms are a set of mechanical and electrical parts designed to perform a specific task. Among the others, the task of a mechanical part is to carry a load or transfer it. The key question a designer should ask is how to design the part in terms of the shape, material, weight, etc. in order for the part to be optimal. This is a question that can be answered using structural optimization. Particularly in this thesis work it is tried to suggest an algorithm for optimizing the shape or material distribution of the parts within a multibody system. The method is called topology optimization of multibody system. The behavior of the system as a... (More)
In everyday life, people deal with different kinds of mechanical machines and mechanisms. These mechanisms are a set of mechanical and electrical parts designed to perform a specific task. Among the others, the task of a mechanical part is to carry a load or transfer it. The key question a designer should ask is how to design the part in terms of the shape, material, weight, etc. in order for the part to be optimal. This is a question that can be answered using structural optimization. Particularly in this thesis work it is tried to suggest an algorithm for optimizing the shape or material distribution of the parts within a multibody system. The method is called topology optimization of multibody system. The behavior of the system as a whole is considered to design each individual mechanical part. (Less)
Please use this url to cite or link to this publication:
author
Ghandriz, Toheed LU
supervisor
organization
course
NUMM11 20142
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Dymola, Abaqus, TOSCA, nonlinear Differential Algebraic Equation, finite element method, flexible body, SIMP, dynamic body, Topology Optimization of Multibody Systems, flying element
publication/series
Master Thesis in Mathematical Science
report number
LUNFNA-3018-2014
ISSN
1404-6342
other publication id
2014:E52
language
English
id
4939909
date added to LUP
2015-01-26 13:05:13
date last changed
2015-12-14 13:32:15
@misc{4939909,
  abstract     = {Topology Optimization (TO) of static structures with fixed loading is a very interesting topic in structural mechanics that has found many applications in industrial design tasks. The extension of the theory to dynamic loading for designing a Multibody System (MBS) with bodies which are lighter and stronger can be of high interest. The objective of this thesis work is to investigate one of the possible ways of extending the theory of the static structural Topology Optimization to Topology Optimization of dynamical bodies embedded in a Multibody System (TOMBS) with large rotational and transitional motion. The TOMBS is performed for all flexible bodies simultaneously based on the overall system dynamical response. Simulation of the MBS behavior is done using the finite element formalism and modal reduction. A modified formulation of Solid Isometric Material with Penalization (SIMP) method is suggested to avoid numerical instabilities and non-convergence of the optimization algorithm implemented for TOMBS. The nonlinear differential algebraic equation of motion is solved numerically using Backward Differential Formula (BDF) with variable step size in SundialsTB and Assimulo integrators implemented in Matlab and Python. The approach can find many applications in designing vehicle systems, high speed robotic manipulators, airplanes and space structures. Also, to show the current capability of the tools in the industry to design a body under dynamic loading using the multiple static load cases, the lower A-arm of double wishbone suspension system is designed in Abaqus/TOSCA, where, the loads are collected from rigid multibody simulation in Dymola.},
  author       = {Ghandriz, Toheed},
  issn         = {1404-6342},
  keyword      = {Dymola,Abaqus,TOSCA,nonlinear Differential Algebraic Equation,finite element method,flexible body,SIMP,dynamic body,Topology Optimization of Multibody Systems,flying element},
  language     = {eng},
  note         = {Student Paper},
  series       = {Master Thesis in Mathematical Science},
  title        = {An Algorithm for Structural Topology Optimization of Multibody Systems},
  year         = {2014},
}