Scholarlink

<p>A variant of the Cauchy formalism is introduced that allows constructing closed-form solutions of the equations of motion for harmonic acoustic waves propagating in a functionally graded (FG) rod with arbitrary longitudinal inhomogeneity. The explicit solutions are derived for exponential, polynomial and periodic inhomogeneities. The constructed solutions revealed some interesting phenomena related to the variation of strain and kinetic energy of the wave in the case of a periodic inhomogeneity.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Closed-form solutions for harmonic waves in functionally graded rods

  • 期刊论文

  • 发表日期：

    2025年6月4日

查看全文
  • S. V. Kuznetsov

摘要

A variant of the Cauchy formalism is introduced that allows constructing closed-form solutions of the equations of motion for harmonic acoustic waves propagating in a functionally graded (FG) rod with arbitrary longitudinal inhomogeneity. The explicit solutions are derived for exponential, polynomial and periodic inhomogeneities. The constructed solutions revealed some interesting phenomena related to the variation of strain and kinetic energy of the wave in the case of a periodic inhomogeneity.