Langley, RS and Cotoni, V (2010) *The direct field boundary impedance of two-dimensional periodic structures with application to high frequency vibration prediction.* J Acoust Soc Am, 127. pp. 2118-2128.

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Acoustics Computer Simulation Computer-Aided Design Elasticity Engineering Equipment Design Finite Element Analysis Models, Theoretical Numerical Analysis, Computer-Assisted Periodicity Sound Vibration |

Subjects: | UNSPECIFIED |

Divisions: | Div C > Applied Mechanics |

Depositing User: | Unnamed user with email sms67@cam.ac.uk |

Date Deposited: | 18 May 2016 17:57 |

Last Modified: | 24 Jun 2016 23:50 |

DOI: | 10.1121/1.3314254 |