Mode detection in turbofan inlets from acoustic pressure measurements in the radiated field

Knowledge of the modal content of the sound field radiated from a turbofan inlet is important for source characterisation and for helping to determine noise generation mechanisms in the engine. An inverse technique for determining the mode decomposition is proposed using pressure measurements from mode on the Turbulence Control Screen (TCS). The TCS offers a useful platform for locating microphones since they are often fitted to engines during ground testing to smooth the integrated flow. Array performance is tested on computer-generated data from modal radiation predictions using a model based on the Kirchhoff approximation for flanged ducts with no flow. An overdetermined system of linear equations that accounts for the radiation at the TCS due to all cut-on modes and nearly cut-on modes is constructed from this model and is inverted to determining mode amplitudes. The sensitivity of the reconstructed mode amplitudes to noise is determined by the condition number of the radiation matrix, containing modal directivity functions predicted at each sensor location. This paper discusses the number and configuration of microphones on the TCS needed for robust and accurate modal inversion. Finally, this paper discusses the use of constraining the solution by regularisation in order to improve inversion robustness to noise

Computer-aided liner optimization for broadband noise

In this article the attenuation of broadband noise in an acoustically-lined circular-section duct is investigated. The aim is to predict how an axially segmented liner influences the attenuation of broadband noise in an aero-engine intake. The sound field is modelled using a multi-modal representation, assuming an ensemble of uncorrelated modes over a wide range of frequencies. An optimization procedure based on a Response Surface Model is used to investigate the optimum uniform and axially-segmented acoustic liner that maximizes the attenuation of broadband noise. An approximate calculation of the Perceived Noise level (PNL) is used for the objective function. In this article the benefit of using an axially segmented liner instead of a uniform liner to attenuate broadband noise is demonstrated

Parallel computation of 3-D soil-structure interaction in time domain with a coupled FEM/SBFEM approach

The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-011-9551-xThis paper introduces a parallel algorithm for the scaled boundary finite element method (SBFEM). The application code is designed to run on clusters of computers, and it enables the analysis of large-scale soil-structure-interaction problems, where an unbounded domain has to fulfill the radiation condition for wave propagation to infinity. The main focus of the paper is on the mathematical description and numerical implementation of the SBFEM. In particular, we describe in detail the algorithm to compute the acceleration unit impulse response matrices used in the SBFEM as well as the solvers for the Riccati and Lyapunov equations. Finally, two test cases validate the new code, illustrating the numerical accuracy of the results and the parallel performances. © Springer Science+Business Media, LLC 2011.Jose E. Roman and Enrique S. Quintana-Orti were partially supported by the Spanish Ministerio de Ciencia e Innovacion under grants TIN2009-07519, and TIN2008-06570-C04-01, respectively.Schauer, M.; Román Moltó, JE.; Quintana Orti, ES.; Langer, S. (2012). Parallel computation of 3-D soil-structure interaction in time domain with a coupled FEM/SBFEM approach. Journal of Scientific Computing. 52(2):446-467. doi:10.1007/s10915-011-9551-xS446467522Anderson, E., Bai, Z., Bischof, C., Demmel, J., Dongarra, J., Croz, J.D., Greenbaum, A., Hammarling, S., McKenney, A., Sorensen, D.: LAPACK User’s Guide. Society for Industrial and Applied Mathematics, Philadelphia (1992)Antes, H., Spyrakos, C.: Soil-structure interaction. In: Beskos, D., Anagnotopoulos, S. (eds.) Computer Analysis and Design of Earthquake Resistant Structures, p. 271. Computational Mechanics Publications, Southampton (1997)Appelö, D., Colonius, T.: A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems. J. Comput. Phys. 228(11), 4200–4217 (2009)Astley, R.J.: Infinite elements for wave problems: a review of current formulations and a assessment of accuracy. Int. J. Numer. Methods Eng. 49(7), 951–976 (2000)Balay, S., Buschelman, K., Eijkhout, V., Gropp, W.D., Kaushik, D., Knepley, M., McInnes, L.C., Smith, B.F., Zhang, H.: PETSc users manual. Tech. Rep. ANL-95/11 - Revision 3.1, Argonne National Laboratory (2010)Benner, P.: Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems. Dissertation, Fak. f. Mathematik, TU Chemnitz–Zwickau, Chemnitz, FRG (1997)Benner, P.: Numerical solution of special algebraic Riccati equations via an exact line search method. In: Proc. European Control Conf. ECC 97, Paper 786, BELWARE Information Technology, Waterloo (B) (1997)Benner, P., Quintana-Ortí, E.: Solving stable generalized Lyapunov equations with the matrix sign function. Numer. Algorithms 20(1), 75–100 (1999)Benner, P., Byers, R., Quintana-Ortí, E., Quintana-Ortí, G.: Solving algebraic Riccati equations on parallel computers using Newton’s method with exact line search. Parallel Comput. 26(10), 1345–1368 (2000)Benner, P., Quintana-Ortí, E.S., Quintana-Ortí, G.: Solving linear-quadratic optimal control problems on parallel computers. Optim. Methods Softw. 23(6), 879–909 (2008)Bettess, P.: Infinite Elements. Penshaw Press, Sunderland (1992)Blackford, L.S., Choi, J., Cleary, A., D’Azevedo, E., Demmel, J., Dhillon, I., Dongarra, J., Hammarling, S., Henry, G., Petitet, A., Stanley, K., Walker, D., Whaley, R.C.: ScaLAPACK Users’ Guide. Society for Industrial and Applied Mathematics, Philadelphia (1997)Borsutzky, R.: Braunschweiger Schriften zur Mechanik - Seismic Risk Analysis of Buried Lifelines, vol. 63. Mechanik-Zentrum Technische Universität. Braunschweig (2008)Dongarra, J.J., Whaley, R.C.: LAPACK working note 94: A user’s guide to the BLACS v1.1. Tech. Rep. 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Mechanical modelling of wood microstructure, an engineering approach

The macroscopic elastic behaviour of wood derives from the mechanical performance of the cells which form its microstructure. Numerical finite element models are presented which relate the elastic properties of the wood continuum to local cell characteristics such as cell size, wall thickness, moisture content and microfibril angle. Preliminary results show good agreement with observed values

Transient wave envelope elements for wave problems

A novel family of infinite wave envelope elements is described which can be used in conjunction with conventional finite elements to model the transient wave equation in unbounded regions. The elements are obtained by applying an inverse Fourier transformation to a mapped wave envelope formulation in the frequency domain. The discrete transient equations obtained in this way can be applied to two-dimensional and three-dimensional problems without restriction, being valid over a full range of excitation frequencies. The effectiveness and accuracy of the method is demonstrated in application to simple test cases which involve the calculation of transient sound fields generated by pulsating spheres and cylinders excited from rest in an unbounded region. Test solutions are compared to analytic solutions and to finite element solutions obtained by using large computational grids which extend beyond the region influenced by the transient disturbance.<br/

Finite elements in solids and structures. An introduction

This is very much a teaching text intended as an accompaniment to an advanced undergraduate engineering course. In content, the book primarily deals with static problems in solids and structures, but also leads into dynamics, while focusing unequivocally on the needs of students rather than researchers and professionals