Topology Optimization of Cable-Actuated, Shape-Changing, Tensegrity Systems for Path Generation

2019 ◽  
Author(s):  
David H. Myszka ◽  
James J. Joo ◽  
Daniel C. Woods ◽  
Andrew P. Murray
Keyword(s):  
Topology Optimization ◽  
Design Space ◽  
Shape Change ◽  
Mixed Integer ◽  
Path Generation ◽  
Structural Topology ◽  
Topology Optimization Problem ◽  
Integer Linear Programming Problem ◽  
Tensegrity Systems ◽  
Optimization Methodology

Abstract This paper presents a topology optimization methodology to synthesize cable-actuated, shape-changing, tensegrity systems specified through path generation requirements. Estabished tensegrity topology optimization procedures exist for static structures. For active tensegrity systems, motion characteristics are typically explored after the structural topology is determined. The work presented in this paper extends the established procedure to introduce prescribed motion into the topology optimization. A ground structure approach is used in conjunction with the design space. The topology optimization problem is formulated into a mixed integer linear programming problem. Desired motion is prescribed by identifying trace points in the design space and corresponding paths. The result of this methodology is the creation of a tensegrity system that can achieve shape-change as specified with prescribed paths.

A Systems Approach to Structural Topology Optimization: Designing Optimal Connections

1996 ◽  
Author(s):  
Tao Jiang ◽  
Mehran Chirehdast
Keyword(s):  
Topology Optimization ◽  
Design Problem ◽  
Large Scale ◽  
Optimization Problem ◽  
Systems Design ◽  
Mathematical Programming Problem ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Problem ◽  
Wide Range

Abstract In this paper, structural topology optimization is extended to systems design. Locations and patterns of connections in a structural system that consists of multiple components strongly affect its performance. Topology of connections is defined, and a new classification for structural optimization is introduced that includes the topology optimization problem for connections. A mathematical programming problem is formulated that addresses this design problem. A convex approximation method using analytical gradients is used to solve the optimization problem. This solution method is readily applicable to large-scale problems. The design problem presented and solved here has a wide range of applications in all areas of structural design. The examples provided here are for spot-weld and adhesive bond joints. Numerous other potential applications are suggested.

Three-Dimensional Layout Design of Steel-Concrete Composite Structures Using Topology Optimization

2011 ◽  
Vol 308-310 ◽  
pp. 886-889 ◽  
Author(s):  
Yang Jun Luo ◽  
Xiao Xiang Wu ◽  
Alex Li
Keyword(s):  
Topology Optimization ◽  
Composite Structures ◽  
Three Dimensional ◽  
Material Model ◽  
Structural Topology ◽  
Numerical Result ◽  
Gradient Based ◽  
Optimization Methodology ◽  
Optimal Material ◽  
Displacement Constraints

For generating a more reasonable initial layout configuration, a three-dimensional topology optimization methodology of the steel-concrete composite structure is presented. Following Solid Isotropic Material with Penalization (SIMP) approach, an artificial material model with penalization for elastic constants is assumed and elemental density variables are used for describing the structural layout. The considered problem is thus formulated as to find the optimal material density distribution that minimizes the material volume under specified displacement constraints. By using the adjoint variable method for the sensitivity analysis, the optimization problem is efficiently solved by the gradient-based optimization algorithm. Numerical result shows that the proposed topology approach presented a novel structural topology of the simply-supported steel-concrete composite beam.

A Variational Binary Level Set Method for Structural Topology Optimization

2013 ◽  
Vol 13 (5) ◽  
pp. 1292-1308 ◽  
Author(s):  
Xiaoxia Dai ◽  
Peipei Tang ◽  
Xiaoliang Cheng ◽  
Minghui Wu
Keyword(s):  
Topology Optimization ◽  
Level Set Method ◽  
Level Set ◽  
Fast Algorithm ◽  
Optimization Problem ◽  
Optimal Solution ◽  
Structural Topology ◽  
Piecewise Constant ◽  
Topology Optimization Problem ◽  
And Topology

AbstractThis paper proposes a variational binary level set method for shape and topology optimization of structural. First, a topology optimization problem is pre-sented based on the level set method and an algorithm based on binary level set method is proposed to solve such problem. Considering the difficulties of coordination between the various parameters and efficient implementation of the proposed method, we present a fast algorithm by reducing several parameters to only one parameter, which would substantially reduce the complexity of computation and make it easily and quickly to get the optimal solution. The algorithm we constructed does not need to re-initialize and can produce many new holes automatically. Furthermore, the fast algorithm allows us to avoid the update of Lagrange multiplier and easily deal with constraints, such as piecewise constant, volume and length of the interfaces. Finally, we show several optimum design examples to confirm the validity and efficiency of our method.

scholarly journals A novel lattice structure topology optimization method with extreme anisotropic lattice properties

2021 ◽  
Vol 8 (5) ◽  
pp. 1367-1390
Author(s):  
Chenghu Zhang ◽  
Jikai Liu ◽  
Zhiling Yuan ◽  
Shuzhi Xu ◽  
Bin Zou ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Design Space ◽  
Mechanical Performance ◽  
Volume Fraction ◽  
Lattice Structure ◽  
Optimization Method ◽  
Structural Topology ◽  
Structure Topology ◽  
Elementary Lattice ◽  
Anisotropic Lattice

Abstract This research presents a lattice structure topology optimization (LSTO) method that significantly expands the design space by creating a novel candidate lattice that assesses an extremely large range of effective material properties. About the details, topology optimization is employed to design lattices with extreme directional tensile or shear properties subject to different volume fraction limits and the optimized lattices are categorized into groups according to their dominating properties. The novel candidate lattice is developed by combining the optimized elementary lattices, by picking up one from each group, and then parametrized with the elementary lattice relative densities. In this way, the LSTO design space is greatly expanded for the ever increased accessible material property range. Moreover, the effective material constitutive model of the candidate lattice subject to different elementary lattice combinations is pre-established so as to eliminate the tedious in-process repetitive homogenization. Finally, a few numerical examples and experiments are explored to validate the effectiveness of the proposed method. The superiority of the proposed method is proved through comparing with a few existing LSTO methods. The options of concurrent structural topology and lattice optimization are also explored for further enhancement of the mechanical performance.

Structural Topology Optimization Using Function-Oriented Elements Based on the Concept of First Order Analysis

2003 ◽  
Author(s):  
Akihiro Takezawa ◽  
Shinji Nishiwaki ◽  
Kazuhiro Izui ◽  
Masataka Yoshimura
Keyword(s):  
Topology Optimization ◽  
Mechanical Design ◽  
Optimization Method ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Order Analysis ◽  
First Order ◽  
Design Engineers ◽  
Optimization Methodology ◽  
And Function

Computer Aided Engineering (CAE) has been successfully utilized in mechanical industries, but few mechanical design engineers use CAE tools that include structural optimization, since the development of such tools has been based on continuum mechanics that limit the provision of useful design suggestions at the initial design phase. In order to mitigate this problem, a new type of CAE based on classical structural mechanics, First Order Analysis (FOA), has been proposed. This paper presents the outcome of research concerning the development of a structural topology optimization methodology within FOA. This optimization method is constructed based on discrete and function-oriented elements such as beam and panel elements, and sequential convex programming. In addition, examples are provided to show the utility of the methodology presented here for mechanical design engineers.

Structural Topology Optimization with Dynamic Response Based on Independent Continuous Mapping Method

2013 ◽  
Vol 765-767 ◽  
pp. 1658-1661
Author(s):  
Hong Ling Ye ◽  
Yao Ming Li ◽  
Yan Ming Zhang ◽  
Yun Kang Sui
Keyword(s):  
Topology Optimization ◽  
Optimization Problem ◽  
Continuous Mapping ◽  
Harmonic Excitation ◽  
Mapping Method ◽  
Multiple Response ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Problem ◽  
Dual Sequence

This paper refer to weight as objective and subject to multiple response amplitude of the harmonic excitation. The ICM method is employed for solving the topology optimization problem and dual sequence quadratic programming (DSQP) is effective to solve the algorithm. A numerical example was presented and demonstrated the validity and effectiveness of the ICM method.

A Systems Approach to Structural Topology Optimization: Designing Optimal Connections

1997 ◽  
Vol 119 (1) ◽  
pp. 40-47 ◽  
Author(s):  
T. Jiang ◽  
M. Chirehdast
Keyword(s):  
Topology Optimization ◽  
Design Problem ◽  
Large Scale ◽  
Optimization Problem ◽  
Systems Design ◽  
Mathematical Programming Problem ◽  
Structural Topology Optimization ◽  
Structural Topology ◽  
Topology Optimization Problem ◽  
Wide Range

In this paper, structural topology optimization is extended to systems design. Locations and patterns of connections in a structural system that consists of multiple components strongly affect its performance. Topology of connections is defined, and a new classification for structural optimization is introduced that includes the topology optimization problem for connections. A mathematical programming problem is formulated that addresses this design problem. A convex approximation method using analytical gradients is used to solve the optimization problem. This solution method is readily applicable to large-scale problems. The design problem presented and solved here has a wide range of applications in all areas of structural design. The examples provided here are for spot-weld and adhesive bond joints. Numerous other potential applications are suggested.

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