Designing Optimal Origami Structures by Computational Evolutionary Embryogeny

Author(s):  
Wei Li ◽  
Daniel A. McAdams

As the advantages of foldable or deployable structures are being discovered, research into origami engineering has attracted more focus from both artists and engineers. With the aid of modern computer techniques, some computational origami design methods have been developed. Most of these methods focus on the problem of origami crease pattern design — the problem of determining a crease pattern to realize a specified origami final shape, but don’t provide computational solutions to actually developing a shape that meets some design performance criteria. This paper presents a design method that includes the computational design of the finished shape as well as the crease pattern. The origami shape will be designed to satisfy geometric, functional, and foldability requirements. This design method is named computational evolutionary embryogeny for optimal origami design (CEEFOOD), which is an extension of the genetic algorithm (GA) and an original computational evolutionary embryogeny (CEE). Unlike existing origami crease pattern design methods that adopt deductive logic, CEEFOOD implements an abductive approach to progressively evolve an optimal design. This paper presents how CEEFOOD — as a member of the GA family — determines the genetic representation (genotype) of candidate solutions, the formulation of the objective function, and the design of evolutionary operators. This paper gives an origami design problem, which has requirements on the folded-state profile, position of center of mass, and number of creases. Several solutions derived by CEEFOOD are listed and compared to highlight the effectiveness of this abductive design method.

Author(s):  
Wei Li ◽  
Daniel A. McAdams

As the advantages of foldable or deployable structures are being discovered, research into origami engineering has attracted more focus from both artists and engineers. With the aid of modern computer techniques, some computational origami design methods have been developed. Most of these methods focus on the problem of origami crease pattern design—the problem of determining a crease pattern to realize a specified origami final shape, but do not provide computational solutions to actually developing a shape that meets some design performance criteria. This paper presents a design method that includes the computational design of the finished shape as well as the crease pattern. The origami shape will be designed to satisfy geometric, functional, and foldability requirements. This design method is named computational evolutionary embryogeny for optimal origami design (CEEFOOD), which is an extension of the genetic algorithm (GA) and an original CEE. Unlike existing origami crease pattern design methods that adopt deductive logic, CEEFOOD implements an abductive approach to progressively evolve an optimal design. This paper presents how CEEFOOD—as a member of the GA family—determines the genetic representation (genotype) of candidate solutions, the formulation of the objective function, and the design of evolutionary operators. This paper gives an origami design problem, which has requirements on the folded-state profile, position of center of mass, and number of creases. Several solutions derived by CEEFOOD are listed and compared to highlight the effectiveness of this abductive design method.


Author(s):  
William R. Binder ◽  
Christiaan J. J. Paredis

In this paper, we introduce a research method for comparing computational design methods. This research method addresses the challenge of measuring the difference in performance of different design methods in a way that is fair and unbiased with respect to differences in modeling abstraction, accuracy and uncertainty representation. The method can be used to identify the conditions under which each design method is most beneficial. To illustrate the research method, we compare two design methods for the design of a pressure vessel: 1) an algebraic approach, based on the ASME pressure vessel code, which accounts for uncertainty implicitly through safety factors, and 2) an optimization-based, expected-utility maximization approach which accounts for uncertainty explicitly. The computational experiments initially show that under some conditions the algebraic heuristic surprisingly outperforms the optimization-based approach. Further analysis reveals that an optimization-based approach does perform best as long as the designer applies good judgment during uncertainty elicitation. An ignorant or overly confident designer is better off using safety factors.


2021 ◽  
Vol 263 (4) ◽  
pp. 2207-2218
Author(s):  
Jonathan Dessi-Olive ◽  
Timothy Hsu

Architectural acoustics has not traditionally had unified design methods that specify acoustical performance, visual appearance, and sustainable material selection, leading to underperforming products that contribute to a waste stream of petro-chemical foam and fiberglass materials. The evolution of design, materials, and manufacturing techniques in recent years has created new opportunities to reimagine acoustic diffusers and absorbers. Previous work by the authors have demonstrated a unifying framework for design and collaboration in architectural acoustics. The framework uses visually-driven computational design method inspired by shape grammars that generate a wide range of acoustic phase grating diffuser arrays that display unique visual and performative qualities. Simulation and evaluation metrics to assess the complexity of each design are rated in terms of their diffusion and absorption coefficients and a visual aesthetic coefficient. This paper extends the framework to include digital fabrication protocols and sustainable material specifications - including the use of fungi-based materials. Built prototypes demonstrate an expanded acoustic design space that gives acousticians the potential to create custom diffuser shapes with precise acoustical response. The innovative combination of computational design methods and sustainable fabrication protocols will be discussed, and the acoustic properties of arrays will be evaluated and compared to simulations of corresponding designs.


2008 ◽  
Vol 07 (02) ◽  
pp. 291-295 ◽  
Author(s):  
JUQUN WANG ◽  
GENG LIU

The concept of pattern system design was presented. The pattern design methods with system characteristic were classified as the process pattern system design and the object pattern system design, both of which were studied in detail. Through integrating process pattern system design and object pattern system design, a P-OI (Process-Object Integration) pattern system design method was proposed. In addition to some common advantages in pattern system design methods such as sharing and reusing system resource, the P-OI pattern system design method is also consistent with integral criterion, well process and object integration, and prominent system open connectivity, all of which are of vital importance for high effectiveness and quality but of low cost during the development of products.


Author(s):  
Sarah Oman ◽  
Michael Koch ◽  
Irem Y. Tumer ◽  
Matt Bohm

In the early stages of the design process, there is a need to provide designers with tools to assess risks and possible failures so as to avoid costly redesigns, comply with established safety measures and to promote innovation throughout the design process. Recently, various methods have been proposed in research to accomplish such tasks, including the Risk in Early Design (RED) and the Function Failure Design Method (FFDM). This paper proposes a method for examining the utility of such failure-based computational design methods. Validation is accomplished by analyzing products with a known history of failure, decomposing these products into functional representations and performing both RED and FFDM analyses on these models to see how closely such methods are able to correctly identify the real-world failures. The goal of this work is to determine the effectiveness of both the RED and FFDM methods in order to suggest improvements for both methods. The results provide insight on the verification methodology in addition providing to prescriptive methods to increase the usefulness of early stage failure and risk assessment techniques.


2020 ◽  
Vol 42 (16) ◽  
pp. 3123-3134 ◽  
Author(s):  
Ibrahim Kaya

This paper provides optimum analytical tuning rules to determine tuning parameters of Integral-Proportional Derivative (I-PD) controllers for controlling integrating processes with inverse response and time delay. Integral performance criteria, such as ISTE (integral of squared time error), IST2E (integral of squared time2 error) and IST3E (integral of squared time3 error), are used to derive mentioned optimum tuning rules. The effectiveness of the proposed I-PD controller design method are shown by simulation examples. Comparisons with design methods existing in the literature, in terms of set point tracking and disturbance rejection capability, are performed to see the use of the proposed I-PD controller. Some performance measures are also given to evaluate the closed loop performances. It has been observed that the proposed I-PD controller has some important advantages over design methods used for comparison.


Author(s):  
Warren Brown

This paper details further progress made in the PVRC project “Development of Improved Flange Design Method for the ASME VIII, Div.2 Rewrite Project” presented during the panel session on flange design at the 2006 PVP conference in Vancouver. The major areas of flange design improvement indicated by that project are examined and the suggested solutions for implementing the improved methods into the Code are discussed. Further analysis on aspects such as gasket creep and the use of leakage-based design has been conducted. Shortcomings in the proposed ASME flange design method (ASME BFJ) and current CEN flange design methods (EN-1591) are highlighted and methods for resolution of these issues are suggested.


Author(s):  
Seon-Ju Kam ◽  
Young-Sun Yoo

Patients’ emotional responses to the hospital environment can be considered as important as medical technology and equipment. Therefore, this study investigated their experiences to determine whether the pattern using hospital identity (HI) elements, a widely used design method for patient clothing in university hospitals, can affect their emotional response and contribute to healing. It aimed to identify whether controlling the motif characteristics, arrangement, and spacing in this pattern design, and the direction between motifs, could be a method to design patient clothing for healing. To investigate patients’ emotional response and suggestions for patient clothing design, an interview-based qualitative approach was used. In-depth interviews were conducted with 12 patients discharged from Kyung Hee University Hospital Medical Center (KHUMC), Seoul. The interview questions consisted of two parts. One part featured questions about participants’ emotional responses to the medical environment and their latest patient clothing experience, and the other featured questions about their emotional response to, and suggestions for, the healing expression of pattern design using HI. The results confirmed that the motif characteristics, arrangement, and spacing, and the direction between motifs, influenced patients’ positive emotions and contributed to the healing effect. Therefore, when the HI elements of a medical institution are applied in the design of patient clothing with the characteristics of a healing design, patients perceive this as providing stability and comfort. The design of patient clothing becomes a medium that not only builds the brand image of medical institutions, but also enhances the quality of medical services centered on patient healing.


Author(s):  
Jan Schumann ◽  
Ulrich Harbecke ◽  
Daniel Sahnen ◽  
Thomas Polklas ◽  
Peter Jeschke ◽  
...  

The subject of the presented paper is the validation of a design method for HP and IP steam turbine stages. Common design processes have been operating with simplified design methods in order to quickly obtain feasible stage designs. Therefore, inaccuracies due to assumptions in the underlying methods have to be accepted. The focus of this work is to quantify the inaccuracy of a simplified design method compared to 3D Computational Fluid Dynamics (CFD) simulations. Short computing time is very convenient in preliminary design; therefore, common design methods work with a large degree of simplification. The origin of the presented analysis is a mean line design process, dealing with repeating stage conditions. Two features of the preliminary design are the stage efficiency, based on loss correlations, and the mechanical strength, obtained by using the beam theory. Due to these simplifications, only a few input parameters are necessary to define the primal stage geometry and hence, the optimal design can easily be found. In addition, by using an implemented law to take the radial equilibrium into account, the appropriate twist of the blading can be defined. However, in comparison to the real radial distribution of flow angles, this method implies inaccuracies, especially in regions of secondary flow. In these regions, twisted blades, developed by using the simplified radial equilibrium, will be exposed to a three-dimensional flow, which is not considered in the design process. The analyzed design cases show that discrepancies at the hub and shroud section do exist, but have minor effects. Even the shroud section, with its thinner leading-edge, is not vulnerable to these unanticipated flow angles.


1989 ◽  
Vol 111 (4) ◽  
pp. 837-843 ◽  
Author(s):  
H. Jaber ◽  
R. L. Webb

This paper develops the effectiveness-NTU design method for cooling towers. The definitions for effectiveness and NTU are totally consistent with the fundamental definitions used in heat exchanger design. Sample calculations are presented for counter and crossflow cooling towers. Using the proper definitions, a person competent in heat exchanger design can easily use the same basic method to design a cooling tower of counter, cross, or parallel flow configuration. The problems associated with the curvature of the saturated air enthalpy line are also treated. A “one-increment” design ignores the effect of this curvature. Increased precision can be obtained by dividing the cooling range into two or more increments. The standard effectiveness-NTU method is then used for each of the increments. Calculations are presented to define the error associated with different numbers of increments. This defines the number of increments required to attain a desired degree of precision. The authors also summarize the LMED method introduced by Berman, and show that this is totally consistent with the effectiveness-NTU method. Hence, using proper and consistent terms, heat exchanger designers are shown how to use either the standard LMED or effectiveness-NTU design methods to design cooling towers.


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