Approach for a Consistent Description of Uncertainty in Process Chains of Load Carrying Mechanical Systems

Uncertainty affects all phases of the product life cycle of technical systems, from design and production to their usage, even beyond the phase boundaries. Its identification, analysis and representation are discussed in the previous chapter. Based on the gained knowledge, our specific approach on mastering uncertainty can be applied. These approaches follow common strategies that are described in the subsequent chapter, but require individual methods and technologies. In this chapter, first legal and technical aspects for mastering uncertainty are discussed. Then, techniques for product design of technical systems under uncertainty are presented. The propagation of uncertainty is analysed for particular examples of process chains. Finally, semi-active and active technical systems and their relation to uncertainty are discussed.

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“…[223]. The application of the UMEA is described in detail and discussed in depth in [87] and in [86].…”

Section: Applying the Umea Methodologymentioning

confidence: 99%

Methods and Technologies for Mastering Uncertainty

Groche

Abele

Groche

et al. 2021

Springer Tracts in Mechanical Engineering

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“…This is because of the fact that most established robust design approaches and related methods are based on statistics and quantitative product information (Hasenkamp, Arvidsson & Gremyr 2009) which are hardly available in the concept stage. This means that a quantitative implementation of the robust design, for example, by using the basic physical (Eifler et al 2011) or kinematic (Eifler & Howard 2017) relationships, is usually only possible from the end of the concept stage. This links to the traditional robust design with sophisticated methods thoroughly described in Phadke (1989) and Fowlkes & Creveling (1995).…”

Section: Robust Designmentioning

confidence: 99%

Integrated approach enabling robust and tolerance design in product concept development

et al. 2021

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Along with the ever-increasing customer demands, early consideration of variation in terms of robust design is important to avoid expensive iterations in the product development. However, existing methods are detached from the development process and can therefore only be applied at a late stage or only with comprehensive expert knowledge. Especially in the concept stage, where the geometry of a product is not yet defined and the optimisation potential is high, effective solution proposals for systematic consideration of variation are lacking. Therefore, this paper describes a new integrated approach facilitating robust and tolerance design in the concept stage. The novelty of the approach using ontologies and graph-based visualisation is the close linkage of product development and tolerance knowledge, which allows automation and helps to avoid time- and cost-intensive iteration loops. As a result, a robust and tolerance-compliant concept design, an initial qualitative tolerance specification and instructions for the further tolerancing process are already available at the end of the concept stage. The applicability and the benefits of the approach are illustrated by representative case studies and a user study allowing a critical comparison between the conventional, mostly subjective procedure and the presented approach.

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“…Uncertainty in vibration attenuation arising from uncertain parameters in resonant shunt and TMD is discussed in a simple but consistent and transparent way. A general approach to describe and evaluate uncertainty in load carrying systems is presented in reference [15][16][17]. This approach uses a matrix to assign uncertainty categories to all relevant system properties for a certain state at a certain time, e. g. in the design or operating process.…”

Section: Uncertainty Quantificationmentioning

confidence: 99%

“…This approach uses a matrix to assign uncertainty categories to all relevant system properties for a certain state at a certain time, e. g. in the design or operating process. According to [16], geometrical, material, electrical, economical and other properties are of interest. Table 1 shows the relevant properties for the beam clamped at both ends with resonant shunt or TMD after completing the definition phase in the design process at the point of time t def subjected to parametric uncertainty.…”

Section: Uncertainty Quantificationmentioning

confidence: 99%

Consistent approach to describe and evaluate uncertainty in vibration attenuation using resonant piezoelectric shunting and tuned mass dampers

Götz

Platz

Melz

2016

Mechanics & Industry

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Undesired vibration may occur in lightweight structures due to low damping and excitation. For the purpose of vibration attenuation, tuned mass dampers (TMD) can be an appropriate measure. A similar approach uses resonantly shunted piezoelectric transducers. However, uncertainty in design and application of resonantly shunted piezoelectric transducers and TMD can be caused by insufficient mathematical modeling, geometric and material deviations or deviations in the electrical and mechanical quantities. During operation, uncertainty may result in detuned attenuation systems and loss of attenuation performance. A consistent and general approach to display uncertainty in load carrying systems developed by the authors is applied to describe parametric uncertainty in vibration attenuation with resonantly shunted piezoelectric transducers and TMD. Mathematical models using Hamilton's principle and Ritz formulation are set up for a beam, clamped at both ends with resonantly shunted transducers and TMD to demonstrate the effectiveness of both attenuation systems and investigate the effects of parametric uncertainty. Furthermore, both approaches lead to additional masses, piezoelectric material for shunt damping and compensator mass of TMD, in the systems. It is shown that vibration attenuation with TMD is less sensitive to parametric uncertainty and achieves a higher performance using the same additional mass.

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Approach for a Consistent Description of Uncertainty in Process Chains of Load Carrying Mechanical Systems

Cited by 10 publications

References 11 publications

Methods and Technologies for Mastering Uncertainty

Methods and Technologies for Mastering Uncertainty

Integrated approach enabling robust and tolerance design in product concept development

Consistent approach to describe and evaluate uncertainty in vibration attenuation using resonant piezoelectric shunting and tuned mass dampers

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