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Theoretical analysis of the vibration of clamped and simply supported circular plates is carried out under one-dimensional linear temperature field for two different sets of plate parameters: (i) circular variation in thickness and linear variation in density and (ii) linear variation in thickness and circular variation in density. The first four modes of vibration are calculated for the above-mentioned sets using Rayleigh–Ritz method. The first objective of the study is to show how variation in plate parameters effectively affects the behavior of frequency modes/time period. The second objective is how we can control the frequencies by taking appropriate variations in plate parameters. The numerical illustration and comparison of time period of present study with available published results well present the objectives of the study.

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Optimization of Vibration of Circular Plates with Different Combinations of Plate Parameters

  • 会议论文

  • 发表日期：

    2025年

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  • Ankit Kumar,
  • Neeraj Lather,
  • Madhu Gupta,
  • Diksha Gupta,
  • Pravesh Kumar,
  • Deepika Lohan,
  • Aabida,
  • Reetu,
  • Amit Sharma

摘要

Theoretical analysis of the vibration of clamped and simply supported circular plates is carried out under one-dimensional linear temperature field for two different sets of plate parameters: (i) circular variation in thickness and linear variation in density and (ii) linear variation in thickness and circular variation in density. The first four modes of vibration are calculated for the above-mentioned sets using Rayleigh–Ritz method. The first objective of the study is to show how variation in plate parameters effectively affects the behavior of frequency modes/time period. The second objective is how we can control the frequencies by taking appropriate variations in plate parameters. The numerical illustration and comparison of time period of present study with available published results well present the objectives of the study.