Scholarlink

The parametric instability of a revolving sandwich beam with an axially pulsing load operating at a position along the cross-sectional centroid has been studied in this study. For the system, the consequence of transverse shear stress is neglected for the calculation of strain energy. All the energy expressions that are for bending deformation, axial deformation and kinetic energy in addition to strain energy due to transverse shear stress have been neglected. The system's differential equations and conditions for extremes are then determined using Hamilton's principle and then these are non-dimensionalised. Series solutions for each co-ordinate of the system are chosen from previous study, which satisfy the differential equations and boundary conditions. Finally, by using Galerkin’s energy principle, the matrix expressions for mass, stiffness, etc. are obtained for the system. From these matrices, the eigen values are utilised to find out the parametric instability of the system by means of Saito and Otomi conditions. The results are expressed by number of graphs for different system parameters.

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

Dynamic Instability of a Sandwich Revolving Beam Non-uniform Along Width and Depth Under Pulsating Load

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Nabakishor Dang,
  • Madhusmita Pradhan,
  • Madhumita Mohanty,
  • Prasanta Kumar Pradhan,
  • Pusparaj Dash

摘要

The parametric instability of a revolving sandwich beam with an axially pulsing load operating at a position along the cross-sectional centroid has been studied in this study. For the system, the consequence of transverse shear stress is neglected for the calculation of strain energy. All the energy expressions that are for bending deformation, axial deformation and kinetic energy in addition to strain energy due to transverse shear stress have been neglected. The system's differential equations and conditions for extremes are then determined using Hamilton's principle and then these are non-dimensionalised. Series solutions for each co-ordinate of the system are chosen from previous study, which satisfy the differential equations and boundary conditions. Finally, by using Galerkin’s energy principle, the matrix expressions for mass, stiffness, etc. are obtained for the system. From these matrices, the eigen values are utilised to find out the parametric instability of the system by means of Saito and Otomi conditions. The results are expressed by number of graphs for different system parameters.