RESONANCE RISK AND MODE SHAPE MANAGEMENT IN THE FREQUENCY DOMAIN TO PREVENT SQUEAK AND RATTLE

Avoiding quality problems in passenger cars, such as squeak and rattle (S&R), has been a remarkable cost-saving consideration. The introduction of electric engines and less engaged drivers due to autonomous driving is expected to further stress the need for quieter cabins. However, the complexity of the virtual evaluation of S&R events has obstructed the practical treatment of these quality issues in the pre-design-freeze phases of product development. In this study, new quantified frequency-domain metrics are proposed to measure the risk for the generation of S&R in subsystem assemblies. The proposed metrics measure the resonance risk and the mode shape similarity in the critical interfaces for S&R. The calculations are done based on the system response in the frequency domain. Compared to the time-domain evaluation methods, the knowledge about the system excitation levels is not essential and the calculations are more time-efficient. The proposed metrics can be used in closed-loop design optimisation processes to involve S&R attributes in the pre-design-freeze attribute trade-off activities besides other attributes. In this work, these metrics were used in a two-stage optimisation problem to optimise the connection configuration in two industrial cases. As compared to the baseline design, the risk for S&R was reduced by improving the system behaviour in terms of resonance risk and mode shape similarity. This was achieved by applying some adjustments to the location of the fasteners while maintaining the same general connection configuration concept.

Largest Component and Node Fault Tolerance for Grids

A graph $G$ is called $t$-node fault tolerant with respect to $H$ if $G$ still contains a subgraph isomorphic to $H$ after removing any $t$ of its vertices. The least value of $|E(G)|-|E(H)|$ among all such graphs $G$ is denoted by $\Delta(t,H)$. We study fault tolerance with respect to some natural architectures of a computer network, i.e. the $d$-dimensional toroidal grids and the hypercubes. We provide the first non-trivial lower bounds for $\Delta(1,H)$ in these cases. For this aim we establish a general connection between the notion of fault tolerance and the size of a largest component of a graph. In particular, we give for all values of $k$ (and $n$) a lower bound on the order of the largest component of any graph obtained from $C_n\Box C_n$ via removal of $k$ of its vertices, which is in general optimal.

The impact of COVID-19 on the economic and accounting transformation

The coronacrisis accelerated the process of economic digitization. New technologies are changing approaches to the organization of labor, as a result of a process of changing classic business models. The competitive environment in all market sectors is changing. Businesses at all levels are working to integrate technology for creating a sustainable, mobile, and digital business model. Accordingly, to ensure this process, technical support in the form of data hubs, data centers, etc. is required. Strategies of digitalization of different countries are considered. It is determined that the digitization process provides these basic factors for the beginning of qualitative changes: infrastructure upgrades, expansion of databases, widespread mobile devices with a high level of communication capabilities, increasing accessibility and expanding the use of the Internet. As a result, digitalization leads to a general «connection» and the total impact of these processes on all sectors of the economy: industry, transport, finance, health, education, and others. For an objective assessment of performance and business opportunities, it is proposed to include in the management report information on development prospects, key risks, the achievement of declared goals, and strategic plans, taking into account the degree of consequences caused by the COVID-19 pandemic. Businesses should review their accounting and reporting policies to provide accurate and up-to-date information on stakeholder performance.

О МЕТОДИ ДУБИНСКОГ ИНТЕРВЈУА

This paper represents an attempt to position the in-depth interview through the description of its main characteristics in relation to the existing classifications of the interview and the history of its use. Therefore, the argumentation begins with the description of the in-depth interview, and continues with systematic comparison in relation to the most widespread classification of interviews into structured, semistructured and unstructured. After relational determination, it goes deeper into the analysis of the specificity of the in-depth interview method, through its analytical advantages, theoretical grounding and general connection with the ethical dilemmas which researchers must be aware of. Key words: in-depth interview, social context, personal interpretations and knowledge, phenomenology, constructionism, ethical issues

On naturality of some construction of connections

Let \(F\) be a bundle functor on the category of all fibred manifolds and fibred maps. Let \(\Gamma\) be a general connection in a fibred manifold \(\mathrm{pr}:Y\to M\) and \(\nabla\) be a classical linear connection on \(M\). We prove that the well-known general connection \(\mathcal{F}(\Gamma,\nabla)\) in \(FY\to M\) is canonical with respect to fibred maps and with respect to natural transformations of bundle functors.

Shtukas with one leg

This chapter analyzes shtukas with one leg over a geometric point in detail, and discusses the relation to (integral) p-adic Hodge theory. It focuses on the connection between shtukas with one leg and p-divisible groups, and recovers a result of Fargues which states that p-divisible groups are equivalent to one-legged shtukas of a certain kind. In fact this is a special case of a much more general connection between shtukas with one leg and proper smooth (formal) schemes. Throughout, the goal is to fix an algebraically closed nonarchimedean field. The chapter then provides an overview of shtukas with one leg and p-divisible groups.

Areas and entropies in BFSS/gravity duality

The BFSS matrix model provides an example of gauge-theory / gravity duality where the gauge theory is a model of ordinary quantum mechanics with no spatial subsystems. If there exists a general connection between areas and entropies in this model similar to the Ryu-Takayanagi formula, the entropies must be more general than the usual subsystem entanglement entropies. In this note, we first investigate the extremal surfaces in the geometries dual to the BFSS model at zero and finite temperature. We describe a method to associate regulated areas to these surfaces and calculate the areas explicitly for a family of surfaces preserving SO(8) symmetry, both at zero and finite temperature. We then discuss possible entropic quantities in the matrix model that could be dual to these regulated areas.

The Force of Assumptions and Self-Attributions

This essay provides a general, abstract characterization of the content-force connection: the force of an utterance applies the content to the actual index of evaluation, for instance the actual world. It then considers two possible counterexamples to this general connection: Sextus Empiricus’ claim that talk about appearances is not assertoric, despite being concerned with the actual world, and that assumptions made in arguments concern the actual world, despite lacking assertoric force. The chapter notes that by modern standards, talk about appearance is assertoric. It also argues that, contrary to appearance, assumptions do not concern the actual world. The possible counterexamples are therefore not real.