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<p>Due to their light weight structure, high thermo-mechanical stability and high sound absorption ability the metal foam core based functionally graded (FG) sandwich micro structures are widely used in several engineering applications like micro-aerial drones, microscale heat exchanger and several micro level devices. The paper presents the vibroacoustic analysis of FG sandwich microplate with metallic foam cores subjected to uniform and non-uniform temperature and moisture distributions. The displacement fields are obtained using four variables refined plate theory in conjunction with modified couple stress theory (MCST). The governing equations are derived via Hamilton’s principle and closed form solutions are obtained through Navier’s approach. After validating the free vibration results, the radiated sound power levels under harmonic loading conditions are obtained. The numerical results revealed a significance effect of grading indices, types of foam materials, length scale parameter, and hygrothermal loads on the vibroacoustic performance of the FG sandwich microplate. Further, in order to minimize the radiated sound power level and overall mass of the structure, optimum parameters are predicted using modified firefly metaheuristic optimization scheme. The constraints such as natural frequency, critical buckling temperature and maximum humidity are accounted. The optimum configuration is studied thoroughly.</p>

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Dynamic Analysis and Multi-objective Optimization Study of Functionally Graded Sandwich Microplates with Hygrothermal Effects

  • 期刊论文

  • 发表日期：

    2026年6月19日

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  • Uttam Kumar Kar,
  • J. Srinivas,
  • Jeetendra Kumar Tiwari,
  • P. S. Rao

摘要

Due to their light weight structure, high thermo-mechanical stability and high sound absorption ability the metal foam core based functionally graded (FG) sandwich micro structures are widely used in several engineering applications like micro-aerial drones, microscale heat exchanger and several micro level devices. The paper presents the vibroacoustic analysis of FG sandwich microplate with metallic foam cores subjected to uniform and non-uniform temperature and moisture distributions. The displacement fields are obtained using four variables refined plate theory in conjunction with modified couple stress theory (MCST). The governing equations are derived via Hamilton’s principle and closed form solutions are obtained through Navier’s approach. After validating the free vibration results, the radiated sound power levels under harmonic loading conditions are obtained. The numerical results revealed a significance effect of grading indices, types of foam materials, length scale parameter, and hygrothermal loads on the vibroacoustic performance of the FG sandwich microplate. Further, in order to minimize the radiated sound power level and overall mass of the structure, optimum parameters are predicted using modified firefly metaheuristic optimization scheme. The constraints such as natural frequency, critical buckling temperature and maximum humidity are accounted. The optimum configuration is studied thoroughly.