Scholarlink

<p>The critical buckling load of two-directional functionally graded multiple nanobeam system in thermal environment are investigated by meshless formulation. The mechanical properties of the FG nanobeams are assumed to vary over the thickness and length direction of the nanobeams. Winkler elastic medium is modeled between the nanobeams in the multiple nanobeam system to account for inter-beam interactions. To model the nanobeam behavior, the Timoshenko beam theory is used and the nonlocal elasticity theory is applied to consider the effects of small-size dimensions. A meshless formulation is developed to discretize the governing equations based on the weak form of the equations. Various boundary conditions are examined in the numerical results. The obtained numerical results are verified by comparison of the results with 1D-FG nanobeam and homogeneous double nanobeam system available in the literature and good agreements are seen. Additionally, the effects of key parameters—including gradation indices, temperature rise, nonlocal parameter, foundation stiffness, and boundary conditions—on the buckling load and <i>in-phase</i> and <i>out-of-phase</i> buckling modes of both single and <i>free-chain</i> and <i>clamped-chain</i> multiple nanobeam systems are systematically investigated.</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

Instability and buckling analysis of bi-directional FG multiple nanobeam system in thermal environment by a meshless method

  • 期刊论文

  • 发表日期：

    2025年7月20日

查看全文
  • Isa Ahmadi,
  • Vladimir Sladek,
  • Jan Sladek

摘要

The critical buckling load of two-directional functionally graded multiple nanobeam system in thermal environment are investigated by meshless formulation. The mechanical properties of the FG nanobeams are assumed to vary over the thickness and length direction of the nanobeams. Winkler elastic medium is modeled between the nanobeams in the multiple nanobeam system to account for inter-beam interactions. To model the nanobeam behavior, the Timoshenko beam theory is used and the nonlocal elasticity theory is applied to consider the effects of small-size dimensions. A meshless formulation is developed to discretize the governing equations based on the weak form of the equations. Various boundary conditions are examined in the numerical results. The obtained numerical results are verified by comparison of the results with 1D-FG nanobeam and homogeneous double nanobeam system available in the literature and good agreements are seen. Additionally, the effects of key parameters—including gradation indices, temperature rise, nonlocal parameter, foundation stiffness, and boundary conditions—on the buckling load and in-phase and out-of-phase buckling modes of both single and free-chain and clamped-chain multiple nanobeam systems are systematically investigated.