To calculate the probability density function of the response of a random acoustic field, a change-of-variable perturbation stochastic finite element method (CVPSFEM), which integrates the perturbation stochastic finite element method (PSFEM) and the change-of-variable technique in a unified form, is proposed. In the proposed method, the response of a random acoustic field is approximated as a linear function of the random variables based on a first order stochastic perturbation analysis. According to the linear relationship between the response and the random variables, the formal expression of the probability density function of the response of a random acoustic field is obtained by the change-of-variable technique. The numerical examples on a two-dimensional (2D) acoustic tube and a three-dimensional (3D) acoustic cavity of an automobile cabin verify the accuracy and efficiency of the proposed method. Hence, the proposed method can be considered as an effective method to quantify the effects of the parametric randomness of a random acoustic field on the sound pressure response.
Skip Nav Destination
Article navigation
October 2013
Research-Article
Response Probability Analysis of Random Acoustic Field Based on Perturbation Stochastic Method and Change-of-Variable Technique
Dejie Yu
Dejie Yu
1
e-mail: djyu@hnu.edu.cn
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,
Changsha,
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,
Hunan University
,Changsha,
Hunan 410082
, China
1Corresponding author.
Search for other works by this author on:
Dejie Yu
e-mail: djyu@hnu.edu.cn
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,
Changsha,
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,
Hunan University
,Changsha,
Hunan 410082
, China
1Corresponding author.
Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 8, 2012; final manuscript received June 4, 2013; published online July 5, 2013. Assoc. Editor: Theodore Farabee.
J. Vib. Acoust. Oct 2013, 135(5): 051032 (11 pages)
Published Online: July 5, 2013
Article history
Received:
November 8, 2012
Revision Received:
June 4, 2013
Citation
Xia, B., and Yu, D. (July 5, 2013). "Response Probability Analysis of Random Acoustic Field Based on Perturbation Stochastic Method and Change-of-Variable Technique." ASME. J. Vib. Acoust. October 2013; 135(5): 051032. https://doi.org/10.1115/1.4024853
Download citation file:
Get Email Alerts
Designing Topological Acoustic Lattices via Electroacoustic Analogies
J. Vib. Acoust (October 2023)
On the Feasibility of Dynamic Substructuring for Hybrid Testing of Vibrating Structures
J. Vib. Acoust (August 2023)
Related Articles
Stochastic Modeling in Multibody Dynamics: Aerodynamic Loads on Ground Vehicles
J. Comput. Nonlinear Dynam (July,2010)
Probabilistic Assessment of Structures using Monte Carlo Simulations
Appl. Mech. Rev (March,2002)
Propagation of Sound in Inhomogeneous Media: Exact, Transient Solutions in Curvilinear Geometries
J. Vib. Acoust (April,2003)
Predictive Abnormal Events Analysis Using Continuous Bayesian Network
ASME J. Risk Uncertainty Part B (December,2017)
Related Proceedings Papers
Related Chapters
An On-Line Signature Verification Method Based on Multi-Dimensional Feature Matching
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
Methodology for Proliferation Resistance for Advanced Nuclear Energy Systems (PSAM-0450)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
The Acoustic Pressure Generated by the Non-Spherical Collapse of Laser-Induced Cavitation Bubbles Near a Rigid Boundary
Proceedings of the 10th International Symposium on Cavitation (CAV2018)