Scholarlink

In this research investigation, the author proposes updation of the Finite Element Analyzed Results of the Shape Function Profiles spanning Node to Node in a Global Finite Element Method Discretization Scheme corresponding to the same Shape Function of concern. Such updation consists of replacement of the aforesaid profiles between the respective said Node to Node profiles by the Curve Profile obtained from the profile of RCB Special Curves that naturally spans between the respective said Node to Node. The author applies the use of Shape Functions based on RCB Special Curves for use in Finite Element Analysis pertaining to a specific Civil Engineering application. According to the theory of RCB Special Curves, these are segments that connect any two real numbers along a naturally occurring Non-Linear Trend line or Curve, derived from the elements of Sequence of Primes, Sequence(s) Of Higher Order Primes, Sequence(s) of Askew Primes, and Sequence(s) of Higher Order Askew Primes. Instead of using the Weak Residuals Functions as Shape Functions, the author prefers the use of Special Curves-based Shape Functions to bridge the discontinuities of the discretization nodes. Finally, Error estimation based on Minimum Potential Energy Criterion for the proposed model is computed for the chosen problem of concern. This proposed model of application of Novel type of Shape Functions allows for better estimation of Stress profile between any two discretization nodes.

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

Application of RCB Models of Continuum and Special Curves in the Finite Element Method Analysis of Three Nodes RCB Shape Functions Based Discretization Scheme

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Lova Raju Surla,
  • Ramprasad Naik Desavathu,
  • Raja Murugadoss Jeyaraj,
  • Ramesh Chandra Bagadi

摘要

In this research investigation, the author proposes updation of the Finite Element Analyzed Results of the Shape Function Profiles spanning Node to Node in a Global Finite Element Method Discretization Scheme corresponding to the same Shape Function of concern. Such updation consists of replacement of the aforesaid profiles between the respective said Node to Node profiles by the Curve Profile obtained from the profile of RCB Special Curves that naturally spans between the respective said Node to Node. The author applies the use of Shape Functions based on RCB Special Curves for use in Finite Element Analysis pertaining to a specific Civil Engineering application. According to the theory of RCB Special Curves, these are segments that connect any two real numbers along a naturally occurring Non-Linear Trend line or Curve, derived from the elements of Sequence of Primes, Sequence(s) Of Higher Order Primes, Sequence(s) of Askew Primes, and Sequence(s) of Higher Order Askew Primes. Instead of using the Weak Residuals Functions as Shape Functions, the author prefers the use of Special Curves-based Shape Functions to bridge the discontinuities of the discretization nodes. Finally, Error estimation based on Minimum Potential Energy Criterion for the proposed model is computed for the chosen problem of concern. This proposed model of application of Novel type of Shape Functions allows for better estimation of Stress profile between any two discretization nodes.