Analysis of Design Uncertainties in Structurally Optimized Lightweight Machines

Abstract Structural optimization methods have been recently successfully applied in optimizing dynamical systems and lightweight ma- chines. The main goal is to reduce the mass of flexible members without deteriorating the accuracy of the system. In this paper, structural optimization based on topology optimization of members of flexible multibody system is introduced and the effects of uncertainty in the optimization process are investigated. Two sources of uncertainty, namely the model uncertainty and the un- certainty in usage are addressed. As an application example, a two-arm manipulator is used to examine and illustrate the effects of uncertainties such as different objective functions, choices of model reduction method as well as changes in the trajectory and payload of the manipulator.

[1]  Peter Eberhard,et al.  From Neweul to Neweul-M2: symbolical equations of motion for multibody system analysis and synthesis , 2010 .

[2]  Peter Eberhard,et al.  On the influence of model reduction techniques in topology optimization of flexible multibody systems using the floating frame of reference approach , 2016 .

[3]  E. Haug,et al.  Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems , 1982 .

[4]  N. Olhoff,et al.  Topological design of continuum structures subjected to forced vibration , 2005 .

[5]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[6]  R. Schwertassek,et al.  Dynamik flexibler Mehrkörpersysteme , 1999 .

[7]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[8]  Ahmed A. Shabana,et al.  Dynamics of Multibody Systems , 2020 .

[9]  Robert Seifried,et al.  Dynamics of Underactuated Multibody Systems: Modeling, Control and Optimal Design , 2013 .

[10]  W. Hurty Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[11]  N. Olhoff,et al.  Generalized incremental frequency method for topological designof continuum structures for minimum dynamic compliance subject to forced vibration at a prescribed low or high value of the excitation frequency , 2016 .

[12]  Peter Eberhard,et al.  Optimization of Multibody Systems and Their Structural Components , 2011 .

[13]  Robert Seifried,et al.  Topology Optimization of Members of Elastic Multibody Systems , 2012 .

[14]  N. L. Pedersen Maximization of eigenvalues using topology optimization , 2000 .

[15]  Gyung-Jin Park,et al.  Optimization of Flexible Multibody Dynamic Systems Using the Equivalent Static Load Method , 2005 .

[16]  Oskar Wallrapp,et al.  Standardization of flexible body modeling in multibody system codes , 1994 .

[17]  Peter Eberhard,et al.  Model Order Reduction in Elastic Multibody Systems using the Floating Frame of Reference Formulation , 2012 .

[18]  Robert Seifried,et al.  Optimal Design of Lightweight Machines Using Flexible Multibody System Dynamics , 2012 .

[19]  O. Sigmund Morphology-based black and white filters for topology optimization , 2007 .

[20]  Albert Albers,et al.  Methods for lightweight design of mechanical components in humanoid robots , 2007, 2007 7th IEEE-RAS International Conference on Humanoid Robots.

[21]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .