Classical wave experiments on chaotic scattering

We review recent research on the transport properties of classical waves through chaotic systems with special emphasis on microwaves and sound waves. Inasmuch as these experiments use antennas or transducers to couple waves into or out of the systems, scattering theory has to be applied for a quantitative interpretation of the measurements. Most experiments concentrate on tests of predictions from random matrix theory and the random plane wave approximation. In all studied examples a quantitative agreement between experiment and theory is achieved. To this end it is necessary, however, to take absorption and imperfect coupling into account, concepts that were ignored in most previous theoretical investigations. Classical phase space signatures of scattering are being examined in a small number of experiments.Comment: 33 pages, 13 figures; invited review for the Special Issue of J. Phys. A: Math. Gen. on "Trends in Quantum Chaotic Scattering

A review of mid-frequency vibro-acoustic modelling for high-speed train extruded aluminium panels as well as the most recent developments in hybrid modelling techniques

Tumour cells sustain their high proliferation rate through metabolic reprogramming, whereby cellular metabolism shifts from oxidative phosphorylation to aerobic glycolysis, even under normal oxygen levels. Hypoxia-inducible factor 1A (HIF1A) is a major regulator of this process, but its activation under normoxic conditions, termed pseudohypoxia, is not well documented. Here, using an integrative approach combining the first genome-wide mapping of chromatin binding for an endocytic adaptor, ARRB1, both in vitro and in vivo with gene expression profiling, we demonstrate that nuclear ARRB1 contributes to this metabolic shift in prostate cancer cells via regulation of HIF1A transcriptional activity under normoxic conditions through regulation of succinate dehydrogenase A (SDHA) and fumarate hydratase (FH) expression. ARRB1-induced pseudohypoxia may facilitate adaptation of cancer cells to growth in the harsh conditions that are frequently encountered within solid tumours. Our study is the first example of an endocytic adaptor protein regulating metabolic pathways. It implicates ARRB1 as a potential tumour promoter in prostate cancer and highlights the importance of metabolic alterations in prostate cancer

The direct field boundary impedance of two-dimensional periodic structures with application to high frequency vibration prediction.

Large sections of many types of engineering construction can be considered to constitute a two-dimensional periodic structure, with examples ranging from an orthogonally stiffened shell to a honeycomb sandwich panel. In this paper, a method is presented for computing the boundary (or edge) impedance of a semi-infinite two-dimensional periodic structure, a quantity which is referred to as the direct field boundary impedance matrix. This terminology arises from the fact that none of the waves generated at the boundary (the direct field) are reflected back to the boundary in a semi-infinite system. The direct field impedance matrix can be used to calculate elastic wave transmission coefficients, and also to calculate the coupling loss factors (CLFs), which are required by the statistical energy analysis (SEA) approach to predicting high frequency vibration levels in built-up systems. The calculation of the relevant CLFs enables a two-dimensional periodic region of a structure to be modeled very efficiently as a single subsystem within SEA, and also within related methods, such as a recently developed hybrid approach, which couples the finite element method with SEA. The analysis is illustrated by various numerical examples involving stiffened plate structures

Advanced modeling of periodic structures in SEA

The SEA properties of a periodic structure are computed from the FE analysis of a single periodic cell. The periodic theory is used in conjunction with FE so that any geometry can be considered. Some efficient algorithms have been implemented to get the subsystems intrinsic properties (modal density, damping, and equivalent mass), as well as the coupling properties of the subsystem with acoustic subsystems (radiation and transmission). Comparisons with analytical results validate the method. © (2006) by the Katholieke Universiteit Leuven Department of Mechanical Engineering All rights reserved

Variance prediction in sea

A method is presented for predicting the variance of the energy levels in a built-up system to accompany the mean values predicted by SEA. Closed form expressions for the variance are obtained in terms of the standard SEA parameters and an additional set of parameters αk that describe the nature of the power input to each subsystem k, and αks that describe the nature of the coupling between subsystems k and s

Development of a general periodic sea subsystem for modeling the vibro-acoustic response of complex structures

Statistical Energy Analysis (SEA) has been used extensively to model the vibro-acoustic response of launch vehicles and payloads since the early 1960s. Modern SEA codes contain a large library of different subsystems that can accurately account for complicating effects such as ribs, curvature, lamination and pressurization. However, applications are sometimes encountered where a standard subsystem does not exist for a given type of construction. In some instances it is possible to estimate or update the subsystem properties from test or local FE models; however, the development of a generic subsystem that can include an arbitrarily complicated section is desirable. This paper discusses the development of a general periodic subsystem based on the use of periodic structure theory. A finite element model is created of a unit cell and analytical expressions are used to obtain the SEA properties of a larger panel comprised of a large number of such cells. The approach provides an efficient and accurate way to model arbitrarily complex sections in SEA that are difficult to model using traditional formulations. For launch vehicle applications the approach is particularly useful for modelling advanced laminate and isogrid constructions