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A new robust design for imperfection sensitive stiffened cylinders used in aerospace engineering
(2015)
Computational models for the personalized analysis of human femurs contain uncertainties in bone material properties and loads, which affect the simulation results. To quantify the influence we developed a probabilistic framework based on polynomial chaos (PC) that propagates stochastic input variables through any computational model. We considered a stochastic E-ρ relationship and a stochastic hip contact force, representing realistic variability of experimental data. Their influence on the prediction of principal strains (ϵ1 and ϵ3) was quantified for one human proximal femur, including sensitivity and reliability analysis. Large variabilities in the principal strain predictions were found in the cortical shell of the femoral neck, with coefficients of variation of ≈40%. Between 60 and 80% of the variance in ϵ1 and ϵ3 are attributable to the uncertainty in the E-ρ relationship, while ≈10% are caused by the load magnitude and 5-30% by the load direction. Principal strain directions were unaffected by material and loading uncertainties. The antero-superior and medial inferior sides of the neck exhibited the largest probabilities for tensile and compression failure, however all were very small (pf<0.001). In summary, uncertainty quantification with PC has been demonstrated to efficiently and accurately describe the influence of very different stochastic inputs, which increases the credibility and explanatory power of personalized analyses of human proximal femurs.
Multi-level hp-finite cell method for embedded interface problems with application in biomechanics
(2018)
This work presents a numerical discretization technique for solving 3-dimensional material interface problems involving complex geometry without conforming mesh generation. The finite cell method (FCM), which is a high-order fictitious domain approach, is used for the numerical approximation of the solution without a boundary-conforming mesh. Weak discontinuities at material interfaces are resolved by using separate FCM meshes for each material sub-domain and weakly enforcing the interface conditions between the different meshes. Additionally, a recently developed hierarchical hp-refinement scheme is used to locally refine the FCM meshes to resolve singularities and local solution features at the interfaces. Thereby, higher convergence rates are achievable for nonsmooth problems. A series of numerical experiments with 2- and 3-dimensional benchmark problems is presented, showing that the proposed hp-refinement scheme in conjunction with the weak enforcement of the interface conditions leads to a significant improvement of the convergence rates, even in the presence of singularities. Finally, the proposed technique is applied to simulate a vertebra-implant model. The application showcases the method's potential as an accurate simulation tool for biomechanical problems involving complex geometry, and it demonstrates its flexibility in dealing with different types of geometric description.
An international, collaborative investigation is undertaken to evaluate the relative merits and limitations of various numerical methods and experimental measurement techniques, specifically for the analysis of flapping-wing propulsion. A finite aspect-ratio configuration is extensively investigated, both quantitatively and qualitatively, in a low-speed wind tunnel. Direct force measurements are made, as well as time-accurate and time-averaged laser Doppler velocimetry and unsteady flow visualization. The reduced frequency, mean angle of attack, aspect ratio and Reynolds number are varied in the experiments. The experiment is numerically simulated using flatplate theory, two and three-dimensional panel codes, and two and three-dimensional Euler and Navier- Stokes solvers. The ability of each of the methods to capture important aspects of the flow physics are evaluated through comparisons with each other and the experimental data. Additionally, the comparisons indicate areas where further research is needed. The collaborative effort provides a survey of available capabilities and provides a fixed set of flappingwing data for others to compare against.
Adaptive and contacting seals such as brush seals have been successfully applied to turbomachinery for several years. In large steam turbine applications, however, various challenges still persist. Special focus is directed at the long-term performance and longevity of brushes on conventional spring-backed seal segments in steam turbines. This issue is particularly related to wear during startup conditions. This paper discusses the results of wear tests, derived from simulated transient turbine behavior, where the resultant seal leakage under steady state conditions is monitored. It is shown that the brush seal is significantly capable of adapting to varying operating conditions, but exhibits a degree of performance degradation during the initial startups. Together with previously reported mid-term wear data and an experience based long-term phenomenological approach a general model for brush seal performance degradation is developed. This model can be used for performance prediction and exerts influence on brush seal design.
The article argues that European innovators can profit from some of the concepts of philosophical Daoism, namely "wu-wei" (non-interference) and "ziran" ("go with the flow"). Whereas most Western approaches to innovation emphasize the different stages of the creative process as well as tools to enhance creativity, the Daoist world view allows for the mind to just wander and thus spontaneously discover the solution to a problem in a rather detached state of mind. Creative minds need space for personal development and the permission to wander around without being exposed to control and instant judgement on the results. Training individuals in the tools and techniques of problem solving and creativity as the common approach in innovation management is certainly necessary, but in the end it is the intellectual accomplishment of a creative mind that produces innovation. Managers can allow this to happen when they get the balance of control and non-interference right.
There is a popular saying in German: Innovation is when the market shouts “Hooray!”. Thus, a new idea is only as good as its diffusion into the addressed social system. The question is what affects the adoption or rejection of a new idea. Carsten Deckert shares his experience on the main innovation resistances and on ways to increase the acceptance of new ideas. He talks about which perceived attributes of innovations are conducive to the rate of adoption of an innovation and which are characteristics of failed innovations.
The working paper at hand assumes that differences of innovativeness of different countries can be explained to a certain extent by cultural differences. Thus, the paper deals with the research question of which cultural dimensions have an influence on national innovativeness. Previous research mainly uses the Hofstede-dimensions to describe cultural differences and often focuses on single parameters to describe national innovativeness (e.g. number of patents per capita). This paper, instead, uses the dimensions of the GLOBE-study which builds on the findings of Hofstede but is more up-to-date and comprehensive and uses two innovation indexes – the Global Innovation Index (GII) and the Innovation Union Scoreboard (IUS) – to describe national innovativeness. The authors use correlation analysis to find relationships between the GLOBEdimensions and the innovation indexes. They find positive correlations of innovativeness (both indexes) to Future Orientation (practice scale), Gender Egalitarianism (value scale), Human Orientation (value scale) and Uncertainty Avoidance (practice scale) as well as negative correlations to In-Group Collectivism (practice scale), Future Orientation (value scale) and Uncertainty Avoidance (value scale). Some of the findings are contrary to existing hypotheses, e.g. only a weak negative correlation of Power Distance to one of the indexes. Furthermore the findings show significant differences between practice scales and value scales, especially concerning Future Orientation and Uncertainty Avoidance which deserve further examination. Overall it can be concluded that culture has an impact on national innovativeness. The different cultural dimensions of the GLOBE-study show a multi-faceted interrelationship between culture and innovation. To come to a concise answer for the question which dimensions affect national innovativeness in which way additional research will be necessary.
The definition of individual creativity is based on a tension between novelty on the one side and usefulness respectively appropriateness on the other side. The paper explores how this tension pervades the stage and componential theories of creativity. To achieve this, the so called value square (“Wertequadrat”) developed by Helwig (1967) and Schulz von Thun (1998)is used which balances a value with its countervalue to analyze creativity. The author identifies tensions of action and inaction, expertise and mindfulness, precision and ambiguity as well as immersion and detachment permeating the creative process and the components of creativity. As a conclusion a morphological box for creativity is presented which allows one to show which combination of characteristics of the tensions support different stages of creativity. Furthermore implications for development and time management are discussed.
A central question for managers in charge of innovation is to what extent creativity and inno-vation can be controlled and supervised, or whether they just have to be set free and allowed to take shape. In assessing this dilemma the authors conclude that there is a contradiction of action versus inaction on the personal level as well as a contradiction of control versus loss of control on the organizational level. What European innovators can learn from philosophical Daoism is an attitude that allows a process to just develop “naturally” and refrains from prem-ature interference with the intention to permanently be in control. In business structures that judge everything according to its usefulness, i.e. profitability for the company, a look at the laid-back attitude of Daoism where usefulness and uselessness are relative qualities might relief the pressure on people to perform in a premeditated way. Innovation can be supported, but creativity cannot be forced. It can only be allowed to happen when control, interference, and action are balanced out with non-interference, and go-with-the-flow. This attitude in not an excuse for stressed-out managers to neglect their duty, but a time honoured worldview of one of the oldest civilizations in the world that can give them the sovereignty to “get out of the way” and let innovation happen.
The standard definition of creativity is based on a tension between originality and effectiveness. Borrowing from the wave-particle duality in physics one could say that there is an originality-effectiveness duality at work for creativity. The paper explores how this tension pervades Amabile's (1997) componential theory of organizational creativity with the components organizational motivation, management practices (including work assignment and work control) and resources. As a method the so called value square (" Wertequadrat ") developed by Helwig (1967) and Schulz von Thun (1998) is used which balances a value with its countervalue. The author identifies a tension of corporate tradition and corporate change for organizational motivation, a tension of skills and challenges for work assignment, a tension of management by control and management by loss of control for work control as well as a tension of organizational efficiency and organizational slack for resources. Additionally different implications of these tensions for the resistance of a company to creativity, for an organizational climate conducive to creativity as well as for resource allocation in creative endeavours are discussed.
The standard definition of individual creativity is based on a tension between originality on the one side and effectiveness (usefulness and appropriateness) on the other side. In this article this tension is called the originality-effectiveness duality of creativity. The article explores how this duality pervades the componential theories of creativity. To analyze the components of creativity with regard to their tensions, the so called value square (“Wertequadrat”) developed by Helwig (1967) and Schulz von Thun (1998) is used. The value square explains each component as a dynamic equilibrium and shows how a positive value is balanced with its positive countervalue. Tensions of mindfulness, precision and ambiguity, as well as immersion and detachment are identified permeating the components of creativity. This article explores the implications these tensions have for creativity research and for businesses in a creative economy.