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ARTICLE
Prediction of acoustic modal characteristics of two dimensional irregular shaped cavities by impedance mobility compact matrix (IMCM) approach
| 1 | Research Center Imarat, Hyderabad, Telangana, India |
| 2 | Indian Institute of Technology Hyderabad, Department of Mechanical and Aerospace Engineering, Telangana, India |
CORRESPONDING AUTHOR
B. Venkatesham
Mechanical & Aerospace Engineering, Indian Institute of Technology, Hyderabad, Kandi, 502285, Hyderabd, India
Mechanical & Aerospace Engineering, Indian Institute of Technology, Hyderabad, Kandi, 502285, Hyderabd, India
Submission date: 2019-12-25
Final revision date: 2020-05-25
Acceptance date: 2020-09-21
Online publication date: 2020-11-28
Publication date: 2021-01-15
Journal of Theoretical and Applied Mechanics 2021;59(1):95–107
KEYWORDS
TOPICS
ABSTRACT
In this paper, the impedance and mobility compact matrix (IMCM) method for prediction
of acoustic modal characteristics of two dimensional irregular cavities with the rigid wall
boundary is presented. This method consists of discretizing the whole cavity into a series
of subcavities either of regular or irregular shape. Continuity of both pressure and veloc-
ity between adjacent subcavities is ensured using a virtual membrane with zero mass and
stiffness. Mathematical formulation for acoustic cavities with the irregular shape has been
explained in detail. A finite element model has been developed to calculate the acoustic
natural frequency and mode shape. The proposed method is validated using a regular and
irregular cavity and compared with finite element modelling results and available results in
the literature.
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