Scholarlink

<p>In this work, a novel shear deformation theory for functionally graded beams based on the exact solution of elasticity is presented. The distribution patterns of shear stress and strain in this novel theory perfectly match those of elasticity solutions; this includes the shear stress and strain vanishing on upper and lower surfaces, and the shear stress reaches its maximum value at the neutral layer. The variationally consistent governing equations, as well as the boundary and initial conditions, are derived via Hamilton’s principle. The new theory is applied to case studies for bending and vibration analyses, in which the results of deflection, shear stress and strain align perfectly with the exact results of the elasticity solution, and the natural frequencies agree well with existing related studies.</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

A novel theory for bending and vibration analysis of functionally graded beams based on exact elasticity solution

  • 期刊论文

  • 发表日期：

    2025年7月11日

查看全文
  • Changwei Tang,
  • Guansuo Dui,
  • Yanhui Xi,
  • Dianen Wei,
  • Yuyao Fu

摘要

In this work, a novel shear deformation theory for functionally graded beams based on the exact solution of elasticity is presented. The distribution patterns of shear stress and strain in this novel theory perfectly match those of elasticity solutions; this includes the shear stress and strain vanishing on upper and lower surfaces, and the shear stress reaches its maximum value at the neutral layer. The variationally consistent governing equations, as well as the boundary and initial conditions, are derived via Hamilton’s principle. The new theory is applied to case studies for bending and vibration analyses, in which the results of deflection, shear stress and strain align perfectly with the exact results of the elasticity solution, and the natural frequencies agree well with existing related studies.