The University of Southampton
University of Southampton Institutional Repository

Numerical simulations of a building-acoustic volume interaction system excited by multiple human footfall impacts

Xing, J.T. and Xiong, Y.P. (2008) Numerical simulations of a building-acoustic volume interaction system excited by multiple human footfall impacts In ASME Pressure Vessels and Piping Conference-PVP2008. ASME., PVP61813-[10pp].

Record type: Conference or Workshop Item (Paper)


A mixed finite element method is used to simulate a building structure-acoustic volume interaction system subject to multiple human footfall impacts. The pressure in the acoustic volume and the displacement of the structure are chosen as the fundamental variables to describe air-structure interaction dynamics. The governing equations and the corresponding variational formulation for generalised air-structure interaction systems are presented. From the variational formulation, the finite element and substructure-subdomain equations are derived.

The available experimental results of footfall impact load histories are described and discussed. Based on an experimental result, an approximate footfall load time function is proposed to model the footfall loads in two successive human foot-steps. This approximate footfall load is applied at each structure point at which a left or right foot contacts at the corresponding time instant. Therefore, this footfall load is a moving load with a speed equalling the human walking speed.

Following a generalised description of the developed numerical approach and footfall loads, an example is given. In this example, three cases involving two people walking along two perpendicular directions on the top floor of the structure are simulated, respectively. The dynamic responses of the displacement of the structure and the acoustic pressure in the acoustic volume are obtained. The calculated results are compared and discussed to illustrate the developed method and to reveal the mechanism of low-frequency vibration produced by human footfall impacts. The advantages of the proposed method are summarised to provide some guidelines to house designs.

Full text not available from this repository.

More information

Submitted date: 5 January 2008
Published date: 27 July 2008
Venue - Dates: ASME Pressure Vessels and Piping Conference-PVP2008, United States, 2008-07-27 - 2008-07-31
Keywords: building structure-acoustic volume interaction, footfall impacts, dynamic response, fluid-structure interaction
Organisations: Fluid Structure Interactions Group


Local EPrints ID: 39258
ISBN: 0791838285
PURE UUID: 937ebd59-69ec-488f-92a2-b953fdcb3d77
ORCID for Y.P. Xiong: ORCID iD

Catalogue record

Date deposited: 14 Aug 2008
Last modified: 30 Aug 2017 16:32

Export record

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.