Scholarlink

<p>This study employs an improved kinematic beam model to investigate the free vibration response of functionally graded sandwich (FGS) curved beams. The model takes into account the thickness stretching effect and utilizes a new parabolic shear and normal deformations curved beam theory. The boundary conditions at the upper and bottom ends of the beam are satisfied without the use of any shear correction coefficient. The vertical displacement is expressed through a parabolic function, dividing it into bending, shear, and thickness stretching components. The dynamic evolution of material properties within the skins is intricately linked to the structural integrity of the system. This evolution is assumed to change continuously along the thickness coordinates and is contingent upon the volume fraction of constituents. Two distinct functions, the power-law (P-FGM) and the sigmoid-law (S-FGM) distributions, are meticulously characterized to represent this transformation. In contrast, the core of the structure remains composed of a uniform material, contributing to its overall stability. The theoretical framework, shaped by Hamilton’s principle, is utilized to establish governing equilibrium equations, specifically tailored to elucidate the free vibration response of curved beams. By considering the interplay of material variations and structural geometry, this approach allows for a comprehensive understanding of the system’s dynamic behavior, offering insights into its vibrational characteristics and overall performance. The Navier’s solution method and the eigenvalue technique are employed to solve these equations and obtain the non-dimensional fundamental frequencies of simply supported FGS curved beams. The credibility of the proposed mathematical model is authenticated through a comparative analysis with the available literature review based on higher-order shear deformation theories (HSDTs). The impacts of variables such as geometry, power-law coefficient, and radius of curvature on the dynamic response of FGS curved beams are investigated. The results presented in this study can serve as reference points for comparison with numerical methods such as the finite element (FE), differential quadrature (DQ), Ritz, and others approaches.</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 new kinematic model for free vibration response of functionally graded sandwich curved beams

  • 期刊论文

  • 发表日期：

    2025年12月13日

查看全文
  • Kada Draiche,
  • Emrah Madenci,
  • Yasin Onuralp Özkılıç,
  • Youcef Tlidji,
  • Essam Althaqafi,
  • Abdelouahed Tounsi,
  • Abdelhakim Kaci

摘要

This study employs an improved kinematic beam model to investigate the free vibration response of functionally graded sandwich (FGS) curved beams. The model takes into account the thickness stretching effect and utilizes a new parabolic shear and normal deformations curved beam theory. The boundary conditions at the upper and bottom ends of the beam are satisfied without the use of any shear correction coefficient. The vertical displacement is expressed through a parabolic function, dividing it into bending, shear, and thickness stretching components. The dynamic evolution of material properties within the skins is intricately linked to the structural integrity of the system. This evolution is assumed to change continuously along the thickness coordinates and is contingent upon the volume fraction of constituents. Two distinct functions, the power-law (P-FGM) and the sigmoid-law (S-FGM) distributions, are meticulously characterized to represent this transformation. In contrast, the core of the structure remains composed of a uniform material, contributing to its overall stability. The theoretical framework, shaped by Hamilton’s principle, is utilized to establish governing equilibrium equations, specifically tailored to elucidate the free vibration response of curved beams. By considering the interplay of material variations and structural geometry, this approach allows for a comprehensive understanding of the system’s dynamic behavior, offering insights into its vibrational characteristics and overall performance. The Navier’s solution method and the eigenvalue technique are employed to solve these equations and obtain the non-dimensional fundamental frequencies of simply supported FGS curved beams. The credibility of the proposed mathematical model is authenticated through a comparative analysis with the available literature review based on higher-order shear deformation theories (HSDTs). The impacts of variables such as geometry, power-law coefficient, and radius of curvature on the dynamic response of FGS curved beams are investigated. The results presented in this study can serve as reference points for comparison with numerical methods such as the finite element (FE), differential quadrature (DQ), Ritz, and others approaches.