An integrated topology optimization framework for three‐dimensional domains using shell elements

2020 ◽  
Vol 30 (1) ◽  
Author(s):  
Giulia Angelucci ◽  
Seymour M.J. Spence ◽  
Fabrizio Mollaioli
Keyword(s):  
Topology Optimization ◽  
Three Dimensional ◽  
Shell Elements ◽  
Optimization Framework

Discovering Origami Fold Patterns With Optimal Actuation Through Nonlinear Mechanics Analysis

2017 ◽  
Author(s):  
Andrew Gillman ◽  
Kazuko Fuchi ◽  
Giorgio Bazzan ◽  
Edward J. Alyanak ◽  
Philip R. Buskohl
Keyword(s):  
Topology Optimization ◽  
Optimization Algorithms ◽  
Three Dimensional ◽  
Nonlinear Mechanics ◽  
Optimization Framework ◽  
Mechanics Model ◽  
Truss Model ◽  
Gradient Optimization ◽  
Large Rotations ◽  
Mechanical Actuation

The ability of origami fold patterns to transform two-dimensional sheets into complex three-dimensional structures provides utility for design and development of multifunctional devices. Recently, a topology optimization framework has been developed to discover fold patterns that realize optimal performance including mechanical actuation. This work incorporates an efficient nonlinear mechanics model into the topology optimization framework that accurately captures the geometric non-linearities associated with large rotations of origami facets. A nonlinear truss model, with accommodation for fold stiffness and large rotations, is implemented in both gradient and non-gradient optimization algorithms in this study. The ability of this framework to discover fold topology maximizing actuation motion is verified for the well known “Chomper” and “Square Twist” patterns. In particular, the performance of various optimization algorithms is discussed, and genetic algorithms consistently yield solutions with better performance.

scholarly journals Three-dimensional fluid topology optimization for heat transfer

2018 ◽  
Vol 59 (3) ◽  
pp. 801-812 ◽  
Author(s):  
M. Pietropaoli ◽  
F. Montomoli ◽  
A. Gaymann
Keyword(s):  
Heat Transfer ◽  
Topology Optimization ◽  
Three Dimensional

scholarly journals Multiscale, thermomechanical topology optimization of self-supporting cellular structures for porous injection molds

2019 ◽  
Vol 25 (9) ◽  
pp. 1482-1492
Author(s):  
Tong Wu ◽  
Andres Tovar
Keyword(s):  
Topology Optimization ◽  
Mechanical Performance ◽  
Mechanical Load ◽  
Design Method ◽  
Three Dimensional ◽  
Optimization Method ◽  
Cellular Structures ◽  
Injection Mold ◽  
Computationally Efficient ◽  
Content Type

Purpose This paper aims to establish a multiscale topology optimization method for the optimal design of non-periodic, self-supporting cellular structures subjected to thermo-mechanical loads. The result is a hierarchically complex design that is thermally efficient, mechanically stable and suitable for additive manufacturing (AM). Design/methodology/approach The proposed method seeks to maximize thermo-mechanical performance at the macroscale in a conceptual design while obtaining maximum shear modulus for each unit cell at the mesoscale. Then, the macroscale performance is re-estimated, and the mesoscale design is updated until the macroscale performance is satisfied. Findings A two-dimensional Messerschmitt Bolkow Bolhm (MBB) beam withstanding thermo-mechanical load is presented to illustrate the proposed design method. Furthermore, the method is implemented to optimize a three-dimensional injection mold, which is successfully prototyped using 420 stainless steel infiltrated with bronze. Originality/value By developing a computationally efficient and manufacturing friendly inverse homogenization approach, the novel multiscale design could generate porous molds which can save up to 30 per cent material compared to their solid counterpart without decreasing thermo-mechanical performance. Practical implications This study is a useful tool for the designer in molding industries to reduce the cost of the injection mold and take full advantage of AM.

A Finite Element for the Analysis of Shell Intersections

1996 ◽  
Vol 118 (4) ◽  
pp. 399-406 ◽  
Author(s):  
W. J. Koves ◽  
S. Nair
Keyword(s):  
Finite Element ◽  
Stress State ◽  
Three Dimensional ◽  
Shell Element ◽  
Theory Of Elasticity ◽  
Shell Elements ◽  
Asme Code ◽  
Form Theory ◽  
Computation Scheme ◽  
Shell Intersections

A specialized shell-intersection finite element, which is compatible with adjoining shell elements, has been developed and has the capability of physically representing the complex three-dimensional geometry and stress state at shell intersections (Koves, 1993). The element geometry is a contoured shape that matches a wide variety of practical nozzle configurations used in ASME Code pressure vessel construction, and allows computational rigor. A closed-form theory of elasticity solution was used to compute the stress state and strain energy in the element. The concept of an energy-equivalent nodal displacement and force vector set was then developed to allow complete compatibility with adjoining shell elements and retain the analytical rigor within the element. This methodology provides a powerful and robust computation scheme that maintains the computational efficiency of shell element solutions. The shell-intersection element was then applied to the cylinder-sphere and cylinder-cylinder intersection problems.

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