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<p>By utilizing the concept of complex moduli and complex amplitude relations between field quantities, a simplified problem statement of forced stationary resonant vibrations and dissipative heating in a prestressed viscoelastic elastomeric square plate is presented. The dissipative function is derived and used as a heat source in the equation of stationary thermal conductivity to calculate the self-heating field of the plate under vibration frequencies close to resonance frequencies. The effect of in-plane normal prestresses on the amplitude-frequency response and temperature-frequency response of plate vibrations as well as maximum heating temperatures is investigated. Critical levels of external load amplitudes are determined.</p>

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Effect of Prestresses on Stationary Coupled Thermomechanical Behavior of Square Viscoelastic Plate

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Y. A. Zhuk,
  • O. Kh. Ostos

摘要

By utilizing the concept of complex moduli and complex amplitude relations between field quantities, a simplified problem statement of forced stationary resonant vibrations and dissipative heating in a prestressed viscoelastic elastomeric square plate is presented. The dissipative function is derived and used as a heat source in the equation of stationary thermal conductivity to calculate the self-heating field of the plate under vibration frequencies close to resonance frequencies. The effect of in-plane normal prestresses on the amplitude-frequency response and temperature-frequency response of plate vibrations as well as maximum heating temperatures is investigated. Critical levels of external load amplitudes are determined.