Sound Attenuation of Membranes Loaded with Square Frame-Shaped Masses

J. S. Chen, D. W. Kao

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


This study examines sound transmission of thin membranes with square frame-shaped masses. Numerical results indicate that multiple transmission loss peaks can be generated by adding more frame mass inclusions. The number and the location of the peaks are controlled by the number of frames, the frame distribution, and the frame width. Near the transmission loss peak frequencies, the dynamic effective mass density turns from positive to negative. The validity of the present model has been verified by comparing the analytical results with FE results. Two types of cell arrangements are also considered in this study, namely, cells in series and cells in array. It is seen that either the stacked or array configurations can produce better sound attenuation than single-celled structures. Moreover, the frequency band where sound wave is blocked can be broadened by stacking more layers with different mass magnitudes. Furthermore, additional frequency bands due to the periodicity of the structure are found in the stacked configurations.

Original languageEnglish
Article number1740236
JournalMathematical Problems in Engineering
Publication statusPublished - 2016

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Engineering


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