Adaptive Finite Element Methods for Shape Optimization of Linearly Elastic Structures

Kikuchi, Noboru; Chung, Kyoon Yang; Torigaki, Toshikazu; Taylor, John E.

doi:10.1007/978-1-4615-9483-3_6

Cited by 33 publications

(29 citation statements)

References 20 publications

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“…These experiments were conducted on a 3.00 GHz Intel(R) Xeon(R) X5365 processor and 32.0 GB of RAM. We performed structural analysis using VOX-ELCON 2010 [4], which is based on image-based CAE [22][23] and one of voxel analysis. The input numbers and calculation results for all examples are shown in Table 1.…”

Section: Resultsmentioning

confidence: 99%

CT Image Segmentation Using Structural Analysis

Hishida

Michikawa

Ohtake

et al. 2010

Advances in Visual Computing

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Abstract. We propose a segmentation method for blurred and lowresolution CT images focusing physical properties. The basic idea of our research is simple: two objects can be easily separated in areas of structural weakness. Given CT images of an object, we assign a physical property such as Young's modulus to each voxel and create functional images (e.g., von Mises strain at the voxel). We then remove the voxel with the largest value in the functional image, and these steps are reiterated until the input model is decomposed into multiple parts. This simple and unique approach provides various advantages over conventional segmentation methods, including preciousness and noise robustness. This paper also demonstrates the efficiency of our approach using the results of various types of CT images, including biological representations and those of engineering objects.

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Section: Resultsmentioning

confidence: 99%

CT Image Segmentation Using Structural Analysis

Hishida

Michikawa

Ohtake

et al. 2010

Advances in Visual Computing

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“…Nevertheless, it has been rigorously proven for a certain subset of scenarios by Wheeler (1976). Kikuchi et al (1986) presented a proof of the theorem for unconstrained design variables, i.e. for problems where the design boundary d is not constrained by the variation domainˆ .…”

Section: Related Workmentioning

confidence: 99%

Shape optimisation of parts in dynamic mechanical systems with respect to fatigue

Häußler

Albers

2007

Journal of Engineering Design

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Computer aided engineering has gained increasing significance in product development processes and research in recent years. Simulation techniques and CAE methods are becoming more and more significant as strategic success factors.While the finite element method and multibody system simulation are state-of-the-art in many fields of application, structural optimisation methods are not so widely used. Although much progress in development has been achieved in recent years, their successful application is often still timeconsuming and sometimes not even possible. Further research work and development is necessary to improve both the capabilities of structural optimisation methods and their usability.The research work presented in this paper is a contribution towards producing an integrated structural optimisation process, introducing a new shape optimisation approach. The new process allows an integrated investigation of dynamically loaded parts in complex mechanical systems and a straightforward optimisation with respect to fatigue. Coupling effects between optimisation operations and system dynamics are fully covered. Finite element analysis (FEA), multibody system simulation (MBS), fatigue analysis and shape optimisation are tied together into a fully automated process. The whole optimisation loop, which is an iterative procedure, incorporates all these analysis steps and is implemented in a straightforward, batch-oriented manner using well-known standard software.Since the whole process involves several different analysis types, the resulting setup is rather complex and the reader may not be familiar with all the terms arising within the context. Therefore, some essential aspects of each of the stages involved in the process are explained, to provide the reader with important concepts. An academic example is discussed in depth, to illustrate and clearly outline the potential of this method. The results clearly show the importance of covering fatigue aspects in shape optimisation problems of parts in dynamic systems. In particular, the interaction between the dynamic properties of the part and the overall system, as well as its implications on the optimisation process are demonstrated.Finally, a more complex application, namely the optimisation of a passenger car suspension arm, is presented. This example demonstrates the applicability and feasibility of the optimisation process for real world problems.

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“…2 Treating the finite element node coordinates directly as design variables, i.e. using the identity map x ¼xðdÞ ¼ d, is among the earliest options for finite element-based shape optimization [78,43]. The main advantages of this independent node movement approach are: (1) it allows the most freedom for shape change; and (2) it does not require the time-consuming shape parameterization process.…”

Section: Introductionmentioning

confidence: 99%