Scholarlink

<p>This paper focuses on the free vibration of multi-layer, multi-directional functionally graded parallelogram plates with variable cross-sections. The properties of functionally graded materials (FGMs) exhibit a continuous and smooth graded distribution along the <i>y</i> and <i>z</i> directions. A variable cross-sectional plate is specifically defined as one whose cross-sectional dimensions gradually vary through the thickness direction. The geometric model is accurately constructed using non-uniform rational B-Splines (NURBS). Based on three-dimensional (3D) elastic theory, the weak form for free vibration of functionally graded plates with variable cross-sections is derived using isogeometric analysis. Compared with conventional finite element method, the isogeometric approach achieves the same accuracy with significantly fewer degrees of freedom. Lastly, a comprehensive study using representative examples is conducted to investigate the effects of cross-sectional geometry, material graded distribution, boundary conditions, and geometric dimensions on free vibration. This work offers new insights for future 3D isogeometric free vibration studies of plate with variable cross-sections.</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

Three-dimensional free vibration analysis of multi-layer and multi-directional functionally graded parallelogram plates with nonlinearly variable cross-sections

  • 期刊论文

  • 发表日期：

    2026年2月28日

查看全文
  • Yuan Gao,
  • Yaqiang Xue,
  • Zhenyang Gao,
  • Chunyu Zhang

摘要

This paper focuses on the free vibration of multi-layer, multi-directional functionally graded parallelogram plates with variable cross-sections. The properties of functionally graded materials (FGMs) exhibit a continuous and smooth graded distribution along the y and z directions. A variable cross-sectional plate is specifically defined as one whose cross-sectional dimensions gradually vary through the thickness direction. The geometric model is accurately constructed using non-uniform rational B-Splines (NURBS). Based on three-dimensional (3D) elastic theory, the weak form for free vibration of functionally graded plates with variable cross-sections is derived using isogeometric analysis. Compared with conventional finite element method, the isogeometric approach achieves the same accuracy with significantly fewer degrees of freedom. Lastly, a comprehensive study using representative examples is conducted to investigate the effects of cross-sectional geometry, material graded distribution, boundary conditions, and geometric dimensions on free vibration. This work offers new insights for future 3D isogeometric free vibration studies of plate with variable cross-sections.