Scholarlink

<p>Piezoelectric beams are widely used as energy harvesting from mechanical vibration. For nanoscale beams, the flexoelectric effect is remarkable. This paper investigates the vibration of a clamped–clamped nanobeam with flexoelectric and piezoelectric effects carrying a concentrated nanoparticle. A governing equation and associated boundary conditions are derived from Hamilton’s principle. An exact frequency equation is obtained. Further, through the integral equation method, an explicit expression for the fundamental resonance frequency can be given with satisfactory accuracy. A comparison between the exact and approximate resonance frequency is made. Numerical results show the influence of flexoelectricity, piezoelectricity, and attached mass on the resonance frequencies of a vibrating beam-mass system, in particular for nanoscale beams.</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

Vibration of piezoelectric nanobeams with flexoelectric effect carrying an attached mass

  • 期刊论文

  • 发表日期：

    2025年9月26日

查看全文
  • Jian Zhang,
  • Ying Yang

摘要

Piezoelectric beams are widely used as energy harvesting from mechanical vibration. For nanoscale beams, the flexoelectric effect is remarkable. This paper investigates the vibration of a clamped–clamped nanobeam with flexoelectric and piezoelectric effects carrying a concentrated nanoparticle. A governing equation and associated boundary conditions are derived from Hamilton’s principle. An exact frequency equation is obtained. Further, through the integral equation method, an explicit expression for the fundamental resonance frequency can be given with satisfactory accuracy. A comparison between the exact and approximate resonance frequency is made. Numerical results show the influence of flexoelectricity, piezoelectricity, and attached mass on the resonance frequencies of a vibrating beam-mass system, in particular for nanoscale beams.